KPBSD Math Curriculum

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Table of Contents

Alaska Content amp Performance Standards

Elementary Section Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Assessments K-5

Middle School SectionSixth Grade

Seventh Grade

Eighth Grade

Assessments 6-8

High School SectionPre Algebra

Algebra A

Algebra B

Algebra 1

Geometry

Advanced Algebra

Math Analysis

Calculus

Personal Finance

Assessments 9-12

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KPBSD Math Curriculum

Textbook Adoptions

Dr Donna Peterson

Superintendent

Dr Gary WhiteleyAssistant Superintendent

Mr Sam StewartAssistant Superintendent

Paula ChristensenDirector Elementary Education

Glenn HauptDirector Secondary Education

Math Curriculum Committee

fileC|Documents20and20Settingse02472Desktopmathdefaulthtm (2 of 3)10182006 31544 PM

Dick Sander ndash Chapman Tim Whip ndash District Wide

Tracey Withrow ndash District Wide Lisa Atchley ndash Sears

Irma Peterson ndash K Beach Amy St Onge ndash Redoubt

Heidi Harding ndash Redoubt Lisa Hayward ndash K Beach

Shirlie Gribble ndash West Homer Eric Skjold ndash Ninilchik

Pat Johnson ndash Soldotna Middle Dana Edwards ndash Soldotna High

Francie Roberts ndash Homer High Stephanie Cronin ndash Seward High

Linda Ralston ndash Nikiski High Dr Nels Anderson ndash School Board

KPBSD Math Curriculum

fileC|Documents20and20Settingse02472Desktopmathdefaulthtm (3 of 3)10182006 31544 PM

Jeff Fox ndash Community Paula Christensen ndash Curriculum

Glenn Haupt - Assessment

KPBSD Curriculum Elementary Inroduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Elementary Introduction

Elementary(Grades K-5)

Our rapidly changing society places new expectations on the mathematical capabilities of us all It calls for our students to have a strong mathematical foundation that is broad in scope and rooted in reasoning and problem solving

Mathematics is for all Proper instruction high expectations and encouragement from the teacher combined with student effort will allow all students to be successful learners and users of mathematics Research on how children learn mathematics provides new insight on instructional best practices Each student must become an active learner -- investigating and exploring -- often as a team member Each teacher must build on the students natural curiosity and mathematical understanding and guide each of them to compute problem solve communicate reason and to make mathematical connections among situations within and outside of school Successful problem solving requires the student to read and use graphs charts and other representations This allows the student to build bridges between the concrete and the abstract Manipulatives calculators and computers are all tools to enhance understanding computation and communication

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KPBSD Curriculum Kindergarten Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Kindergarten

Mathematics

GradeK

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use guess and check acting out modeling andor drawing pictures to solve a problem

112 112

Communication a Use everyday language to explain thinking about problem solving strategies and solutions to problems

113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration a Read whole numbers (0-20) 111 112 b Write whole numbers (0-20) 111 112 c Order whole numbers (0-20) 111 112 d Count whole numbers (0-20) 111 112 e Model one-to-one correspondence with whole numbers (0-20) 111 112 f Compare sets using more than less than and equal to 212 112 g Model the process of addition and subtraction with real objects 113 112 h Model and introduce skip counting by 2rsquos to 20 by 5rsquos to 50 and by 10s to 100 116 112

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KPBSD Curriculum Kindergarten Math

Measurement a Use non-standard objects to measure and compare lengths 214 112 b Name the days of the week and use the terms yesterday today and tomorrow 211 112 c Distinguish between morning and afternoon 215 112 d Identify penny state its value and add pennies together 216 112

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo using 0-10 items 311 112

Algebraic Functions a Recognize describe extend and create patterns of color shape and size 411 112 b Sort one set of objects in several different ways 411 112

Geometry a Use comparative directional and comparative positional words above below inside outside in and on

516 112

b Identify and describe a square triangle circle and rectangle 511 112

Statistics and Probability a Model the collecting and recording of data 611 112 b Recognize read and help construct graphs with pictures and objects 612 112

Words in bold are grade level vocabulary words

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KPBSD Curriculum Grade 1 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 1

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112

112113

b Predict an answer before solving a problem and compare results to check for reasonableness

113

112113

Communication a Translate problems from everyday language into math language and symbols 112

113

Reasoning a Draw conclusions about mathematical problems 111 b Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature b Apply mathematical skills and processes to situations with self and family 112

Numeration 112 a Read whole numbers (0-100) 111 113 b Write whole numbers (0-100) 111 112

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KPBSD Curriculum Grade 1 Math

113 c Order whole numbers (0-100) 111 112

113

d Count whole numbers (0-100) 111 112113

e Model one-to-one correspondence with whole numbers (0-100) 111 112113

f Use model and identify place value positions of 1rsquos and 10rsquos to 99 112 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Model and explain the processes of addition and subtraction (fact families) to 10

113117

112113

313 h Select and use various representations of ordinal and cardinal numbers 114 112

113

i Identify model and label simple fractions Describe and define them as equal parts of a whole a region or a set (eg frac12 bullsbquo frac14)

115 112113

j Skip count by 2rsquos 5rsquos and 10rsquos (orally) 116 112113

k Add by 10rsquos 116 112113

l Identify even and odd numbers (0-20) 116 112113

Measurement

a Compare and order objects by various measurable attributes including calendar temperature length and weight

211 112113

b Estimate and measure to the nearest inch and foot 212214

112113

c Tell time to the nearest hour distinguishing between morning afternoon and evening

215 112113

d Identify coins their value and the value of given sets of coins (penny nickel and dime)

216 112113

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KPBSD Curriculum Grade 1 Math

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo 311 112

113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator

312 112113

c Add and subtract whole numbers to 20 using a variety of models and algorithms

313 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Solve simple functions by identifying and applying addition patterns 412 112113

c Complete open space sentences with missing numbers use appropriate vocabulary including greater than less than and equal to

415 112113

Geometry

a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation

511 112113

b Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

c Model lines of symmetry 513 112113

d Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

e Draw and build familiar shapes 517 112

113

Statistics and Probability

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KPBSD Curriculum Grade 1 Math

a Model how to collect record organize display and explain the classification of data

611 112113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and venn diagrams

612 112113

c Find and record the possibilities of simple probability experiments 615 112

113

d Model a survey and tally the results 616 112113

Words in bold are grade level vocabulary words

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KPBSD Curriculum Grade 2 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 2

Mathematics

Grade2

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Formulate problems from practical and mathematical activities 111 112

113

b Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112 112113

c Predict an answer before solving a problem and compare results to check for reasonableness

113 112113

Communication a Translate problems from everyday language into math language and symbols 111

Reasoning a Draw conclusions about mathematical problems 111 b Find examples that support or refute mathematical statements 112 c Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration

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KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

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KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

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KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

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KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

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KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

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KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

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KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

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KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

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KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

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KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

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KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

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KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

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KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

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KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Math Curriculum

fileC|Documents20and20Settingse02472Desktopmathdefaulthtm (3 of 3)10182006 31544 PM

Jeff Fox ndash Community Paula Christensen ndash Curriculum

Glenn Haupt - Assessment

KPBSD Curriculum Elementary Inroduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Elementary Introduction

Elementary(Grades K-5)

Our rapidly changing society places new expectations on the mathematical capabilities of us all It calls for our students to have a strong mathematical foundation that is broad in scope and rooted in reasoning and problem solving

Mathematics is for all Proper instruction high expectations and encouragement from the teacher combined with student effort will allow all students to be successful learners and users of mathematics Research on how children learn mathematics provides new insight on instructional best practices Each student must become an active learner -- investigating and exploring -- often as a team member Each teacher must build on the students natural curiosity and mathematical understanding and guide each of them to compute problem solve communicate reason and to make mathematical connections among situations within and outside of school Successful problem solving requires the student to read and use graphs charts and other representations This allows the student to build bridges between the concrete and the abstract Manipulatives calculators and computers are all tools to enhance understanding computation and communication

fileC|Documents20and20Settingse02472DesktopmathElem_20introhtm10182006 31558 PM

KPBSD Curriculum Kindergarten Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Kindergarten

Mathematics

GradeK

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use guess and check acting out modeling andor drawing pictures to solve a problem

112 112

Communication a Use everyday language to explain thinking about problem solving strategies and solutions to problems

113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration a Read whole numbers (0-20) 111 112 b Write whole numbers (0-20) 111 112 c Order whole numbers (0-20) 111 112 d Count whole numbers (0-20) 111 112 e Model one-to-one correspondence with whole numbers (0-20) 111 112 f Compare sets using more than less than and equal to 212 112 g Model the process of addition and subtraction with real objects 113 112 h Model and introduce skip counting by 2rsquos to 20 by 5rsquos to 50 and by 10s to 100 116 112

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KPBSD Curriculum Kindergarten Math

Measurement a Use non-standard objects to measure and compare lengths 214 112 b Name the days of the week and use the terms yesterday today and tomorrow 211 112 c Distinguish between morning and afternoon 215 112 d Identify penny state its value and add pennies together 216 112

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo using 0-10 items 311 112

Algebraic Functions a Recognize describe extend and create patterns of color shape and size 411 112 b Sort one set of objects in several different ways 411 112

Geometry a Use comparative directional and comparative positional words above below inside outside in and on

516 112

b Identify and describe a square triangle circle and rectangle 511 112

Statistics and Probability a Model the collecting and recording of data 611 112 b Recognize read and help construct graphs with pictures and objects 612 112

Words in bold are grade level vocabulary words

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KPBSD Curriculum Grade 1 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 1

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112

112113

b Predict an answer before solving a problem and compare results to check for reasonableness

113

112113

Communication a Translate problems from everyday language into math language and symbols 112

113

Reasoning a Draw conclusions about mathematical problems 111 b Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature b Apply mathematical skills and processes to situations with self and family 112

Numeration 112 a Read whole numbers (0-100) 111 113 b Write whole numbers (0-100) 111 112

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KPBSD Curriculum Grade 1 Math

113 c Order whole numbers (0-100) 111 112

113

d Count whole numbers (0-100) 111 112113

e Model one-to-one correspondence with whole numbers (0-100) 111 112113

f Use model and identify place value positions of 1rsquos and 10rsquos to 99 112 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Model and explain the processes of addition and subtraction (fact families) to 10

113117

112113

313 h Select and use various representations of ordinal and cardinal numbers 114 112

113

i Identify model and label simple fractions Describe and define them as equal parts of a whole a region or a set (eg frac12 bullsbquo frac14)

115 112113

j Skip count by 2rsquos 5rsquos and 10rsquos (orally) 116 112113

k Add by 10rsquos 116 112113

l Identify even and odd numbers (0-20) 116 112113

Measurement

a Compare and order objects by various measurable attributes including calendar temperature length and weight

211 112113

b Estimate and measure to the nearest inch and foot 212214

112113

c Tell time to the nearest hour distinguishing between morning afternoon and evening

215 112113

d Identify coins their value and the value of given sets of coins (penny nickel and dime)

216 112113

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KPBSD Curriculum Grade 1 Math

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo 311 112

113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator

312 112113

c Add and subtract whole numbers to 20 using a variety of models and algorithms

313 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Solve simple functions by identifying and applying addition patterns 412 112113

c Complete open space sentences with missing numbers use appropriate vocabulary including greater than less than and equal to

415 112113

Geometry

a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation

511 112113

b Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

c Model lines of symmetry 513 112113

d Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

e Draw and build familiar shapes 517 112

113

Statistics and Probability

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KPBSD Curriculum Grade 1 Math

a Model how to collect record organize display and explain the classification of data

611 112113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and venn diagrams

612 112113

c Find and record the possibilities of simple probability experiments 615 112

113

d Model a survey and tally the results 616 112113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (4 of 4)10182006 31604 PM

KPBSD Curriculum Grade 2 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 2

Mathematics

Grade2

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Formulate problems from practical and mathematical activities 111 112

113

b Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112 112113

c Predict an answer before solving a problem and compare results to check for reasonableness

113 112113

Communication a Translate problems from everyday language into math language and symbols 111

Reasoning a Draw conclusions about mathematical problems 111 b Find examples that support or refute mathematical statements 112 c Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration

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KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

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KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (3 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (1 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

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KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

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KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Elementary Inroduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Elementary Introduction

Elementary(Grades K-5)

Our rapidly changing society places new expectations on the mathematical capabilities of us all It calls for our students to have a strong mathematical foundation that is broad in scope and rooted in reasoning and problem solving

Mathematics is for all Proper instruction high expectations and encouragement from the teacher combined with student effort will allow all students to be successful learners and users of mathematics Research on how children learn mathematics provides new insight on instructional best practices Each student must become an active learner -- investigating and exploring -- often as a team member Each teacher must build on the students natural curiosity and mathematical understanding and guide each of them to compute problem solve communicate reason and to make mathematical connections among situations within and outside of school Successful problem solving requires the student to read and use graphs charts and other representations This allows the student to build bridges between the concrete and the abstract Manipulatives calculators and computers are all tools to enhance understanding computation and communication

fileC|Documents20and20Settingse02472DesktopmathElem_20introhtm10182006 31558 PM

KPBSD Curriculum Kindergarten Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Kindergarten

Mathematics

GradeK

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use guess and check acting out modeling andor drawing pictures to solve a problem

112 112

Communication a Use everyday language to explain thinking about problem solving strategies and solutions to problems

113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration a Read whole numbers (0-20) 111 112 b Write whole numbers (0-20) 111 112 c Order whole numbers (0-20) 111 112 d Count whole numbers (0-20) 111 112 e Model one-to-one correspondence with whole numbers (0-20) 111 112 f Compare sets using more than less than and equal to 212 112 g Model the process of addition and subtraction with real objects 113 112 h Model and introduce skip counting by 2rsquos to 20 by 5rsquos to 50 and by 10s to 100 116 112

fileC|Documents20and20Settingse02472Desktopmathmath_khtm (1 of 2)10182006 31600 PM

KPBSD Curriculum Kindergarten Math

Measurement a Use non-standard objects to measure and compare lengths 214 112 b Name the days of the week and use the terms yesterday today and tomorrow 211 112 c Distinguish between morning and afternoon 215 112 d Identify penny state its value and add pennies together 216 112

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo using 0-10 items 311 112

Algebraic Functions a Recognize describe extend and create patterns of color shape and size 411 112 b Sort one set of objects in several different ways 411 112

Geometry a Use comparative directional and comparative positional words above below inside outside in and on

516 112

b Identify and describe a square triangle circle and rectangle 511 112

Statistics and Probability a Model the collecting and recording of data 611 112 b Recognize read and help construct graphs with pictures and objects 612 112

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_khtm (2 of 2)10182006 31600 PM

KPBSD Curriculum Grade 1 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 1

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112

112113

b Predict an answer before solving a problem and compare results to check for reasonableness

113

112113

Communication a Translate problems from everyday language into math language and symbols 112

113

Reasoning a Draw conclusions about mathematical problems 111 b Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature b Apply mathematical skills and processes to situations with self and family 112

Numeration 112 a Read whole numbers (0-100) 111 113 b Write whole numbers (0-100) 111 112

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (1 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

113 c Order whole numbers (0-100) 111 112

113

d Count whole numbers (0-100) 111 112113

e Model one-to-one correspondence with whole numbers (0-100) 111 112113

f Use model and identify place value positions of 1rsquos and 10rsquos to 99 112 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Model and explain the processes of addition and subtraction (fact families) to 10

113117

112113

313 h Select and use various representations of ordinal and cardinal numbers 114 112

113

i Identify model and label simple fractions Describe and define them as equal parts of a whole a region or a set (eg frac12 bullsbquo frac14)

115 112113

j Skip count by 2rsquos 5rsquos and 10rsquos (orally) 116 112113

k Add by 10rsquos 116 112113

l Identify even and odd numbers (0-20) 116 112113

Measurement

a Compare and order objects by various measurable attributes including calendar temperature length and weight

211 112113

b Estimate and measure to the nearest inch and foot 212214

112113

c Tell time to the nearest hour distinguishing between morning afternoon and evening

215 112113

d Identify coins their value and the value of given sets of coins (penny nickel and dime)

216 112113

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KPBSD Curriculum Grade 1 Math

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo 311 112

113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator

312 112113

c Add and subtract whole numbers to 20 using a variety of models and algorithms

313 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Solve simple functions by identifying and applying addition patterns 412 112113

c Complete open space sentences with missing numbers use appropriate vocabulary including greater than less than and equal to

415 112113

Geometry

a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation

511 112113

b Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

c Model lines of symmetry 513 112113

d Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

e Draw and build familiar shapes 517 112

113

Statistics and Probability

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (3 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

a Model how to collect record organize display and explain the classification of data

611 112113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and venn diagrams

612 112113

c Find and record the possibilities of simple probability experiments 615 112

113

d Model a survey and tally the results 616 112113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (4 of 4)10182006 31604 PM

KPBSD Curriculum Grade 2 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 2

Mathematics

Grade2

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Formulate problems from practical and mathematical activities 111 112

113

b Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112 112113

c Predict an answer before solving a problem and compare results to check for reasonableness

113 112113

Communication a Translate problems from everyday language into math language and symbols 111

Reasoning a Draw conclusions about mathematical problems 111 b Find examples that support or refute mathematical statements 112 c Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (1 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (2 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (3 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (1 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (2 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (3 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (3 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

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KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

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KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

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KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Kindergarten Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Kindergarten

Mathematics

GradeK

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use guess and check acting out modeling andor drawing pictures to solve a problem

112 112

Communication a Use everyday language to explain thinking about problem solving strategies and solutions to problems

113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration a Read whole numbers (0-20) 111 112 b Write whole numbers (0-20) 111 112 c Order whole numbers (0-20) 111 112 d Count whole numbers (0-20) 111 112 e Model one-to-one correspondence with whole numbers (0-20) 111 112 f Compare sets using more than less than and equal to 212 112 g Model the process of addition and subtraction with real objects 113 112 h Model and introduce skip counting by 2rsquos to 20 by 5rsquos to 50 and by 10s to 100 116 112

fileC|Documents20and20Settingse02472Desktopmathmath_khtm (1 of 2)10182006 31600 PM

KPBSD Curriculum Kindergarten Math

Measurement a Use non-standard objects to measure and compare lengths 214 112 b Name the days of the week and use the terms yesterday today and tomorrow 211 112 c Distinguish between morning and afternoon 215 112 d Identify penny state its value and add pennies together 216 112

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo using 0-10 items 311 112

Algebraic Functions a Recognize describe extend and create patterns of color shape and size 411 112 b Sort one set of objects in several different ways 411 112

Geometry a Use comparative directional and comparative positional words above below inside outside in and on

516 112

b Identify and describe a square triangle circle and rectangle 511 112

Statistics and Probability a Model the collecting and recording of data 611 112 b Recognize read and help construct graphs with pictures and objects 612 112

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_khtm (2 of 2)10182006 31600 PM

KPBSD Curriculum Grade 1 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 1

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112

112113

b Predict an answer before solving a problem and compare results to check for reasonableness

113

112113

Communication a Translate problems from everyday language into math language and symbols 112

113

Reasoning a Draw conclusions about mathematical problems 111 b Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature b Apply mathematical skills and processes to situations with self and family 112

Numeration 112 a Read whole numbers (0-100) 111 113 b Write whole numbers (0-100) 111 112

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (1 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

113 c Order whole numbers (0-100) 111 112

113

d Count whole numbers (0-100) 111 112113

e Model one-to-one correspondence with whole numbers (0-100) 111 112113

f Use model and identify place value positions of 1rsquos and 10rsquos to 99 112 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Model and explain the processes of addition and subtraction (fact families) to 10

113117

112113

313 h Select and use various representations of ordinal and cardinal numbers 114 112

113

i Identify model and label simple fractions Describe and define them as equal parts of a whole a region or a set (eg frac12 bullsbquo frac14)

115 112113

j Skip count by 2rsquos 5rsquos and 10rsquos (orally) 116 112113

k Add by 10rsquos 116 112113

l Identify even and odd numbers (0-20) 116 112113

Measurement

a Compare and order objects by various measurable attributes including calendar temperature length and weight

211 112113

b Estimate and measure to the nearest inch and foot 212214

112113

c Tell time to the nearest hour distinguishing between morning afternoon and evening

215 112113

d Identify coins their value and the value of given sets of coins (penny nickel and dime)

216 112113

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KPBSD Curriculum Grade 1 Math

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo 311 112

113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator

312 112113

c Add and subtract whole numbers to 20 using a variety of models and algorithms

313 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Solve simple functions by identifying and applying addition patterns 412 112113

c Complete open space sentences with missing numbers use appropriate vocabulary including greater than less than and equal to

415 112113

Geometry

a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation

511 112113

b Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

c Model lines of symmetry 513 112113

d Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

e Draw and build familiar shapes 517 112

113

Statistics and Probability

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (3 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

a Model how to collect record organize display and explain the classification of data

611 112113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and venn diagrams

612 112113

c Find and record the possibilities of simple probability experiments 615 112

113

d Model a survey and tally the results 616 112113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (4 of 4)10182006 31604 PM

KPBSD Curriculum Grade 2 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 2

Mathematics

Grade2

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Formulate problems from practical and mathematical activities 111 112

113

b Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112 112113

c Predict an answer before solving a problem and compare results to check for reasonableness

113 112113

Communication a Translate problems from everyday language into math language and symbols 111

Reasoning a Draw conclusions about mathematical problems 111 b Find examples that support or refute mathematical statements 112 c Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (1 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (2 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (3 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (1 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (2 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (3 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (3 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

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KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

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KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Kindergarten Math

Measurement a Use non-standard objects to measure and compare lengths 214 112 b Name the days of the week and use the terms yesterday today and tomorrow 211 112 c Distinguish between morning and afternoon 215 112 d Identify penny state its value and add pennies together 216 112

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo using 0-10 items 311 112

Algebraic Functions a Recognize describe extend and create patterns of color shape and size 411 112 b Sort one set of objects in several different ways 411 112

Geometry a Use comparative directional and comparative positional words above below inside outside in and on

516 112

b Identify and describe a square triangle circle and rectangle 511 112

Statistics and Probability a Model the collecting and recording of data 611 112 b Recognize read and help construct graphs with pictures and objects 612 112

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_khtm (2 of 2)10182006 31600 PM

KPBSD Curriculum Grade 1 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 1

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112

112113

b Predict an answer before solving a problem and compare results to check for reasonableness

113

112113

Communication a Translate problems from everyday language into math language and symbols 112

113

Reasoning a Draw conclusions about mathematical problems 111 b Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature b Apply mathematical skills and processes to situations with self and family 112

Numeration 112 a Read whole numbers (0-100) 111 113 b Write whole numbers (0-100) 111 112

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KPBSD Curriculum Grade 1 Math

113 c Order whole numbers (0-100) 111 112

113

d Count whole numbers (0-100) 111 112113

e Model one-to-one correspondence with whole numbers (0-100) 111 112113

f Use model and identify place value positions of 1rsquos and 10rsquos to 99 112 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Model and explain the processes of addition and subtraction (fact families) to 10

113117

112113

313 h Select and use various representations of ordinal and cardinal numbers 114 112

113

i Identify model and label simple fractions Describe and define them as equal parts of a whole a region or a set (eg frac12 bullsbquo frac14)

115 112113

j Skip count by 2rsquos 5rsquos and 10rsquos (orally) 116 112113

k Add by 10rsquos 116 112113

l Identify even and odd numbers (0-20) 116 112113

Measurement

a Compare and order objects by various measurable attributes including calendar temperature length and weight

211 112113

b Estimate and measure to the nearest inch and foot 212214

112113

c Tell time to the nearest hour distinguishing between morning afternoon and evening

215 112113

d Identify coins their value and the value of given sets of coins (penny nickel and dime)

216 112113

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (2 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo 311 112

113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator

312 112113

c Add and subtract whole numbers to 20 using a variety of models and algorithms

313 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Solve simple functions by identifying and applying addition patterns 412 112113

c Complete open space sentences with missing numbers use appropriate vocabulary including greater than less than and equal to

415 112113

Geometry

a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation

511 112113

b Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

c Model lines of symmetry 513 112113

d Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

e Draw and build familiar shapes 517 112

113

Statistics and Probability

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (3 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

a Model how to collect record organize display and explain the classification of data

611 112113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and venn diagrams

612 112113

c Find and record the possibilities of simple probability experiments 615 112

113

d Model a survey and tally the results 616 112113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (4 of 4)10182006 31604 PM

KPBSD Curriculum Grade 2 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 2

Mathematics

Grade2

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Formulate problems from practical and mathematical activities 111 112

113

b Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112 112113

c Predict an answer before solving a problem and compare results to check for reasonableness

113 112113

Communication a Translate problems from everyday language into math language and symbols 111

Reasoning a Draw conclusions about mathematical problems 111 b Find examples that support or refute mathematical statements 112 c Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (1 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (2 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (3 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (1 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (2 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

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KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

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KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 1 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 1

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112

112113

b Predict an answer before solving a problem and compare results to check for reasonableness

113

112113

Communication a Translate problems from everyday language into math language and symbols 112

113

Reasoning a Draw conclusions about mathematical problems 111 b Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature b Apply mathematical skills and processes to situations with self and family 112

Numeration 112 a Read whole numbers (0-100) 111 113 b Write whole numbers (0-100) 111 112

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (1 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

113 c Order whole numbers (0-100) 111 112

113

d Count whole numbers (0-100) 111 112113

e Model one-to-one correspondence with whole numbers (0-100) 111 112113

f Use model and identify place value positions of 1rsquos and 10rsquos to 99 112 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Model and explain the processes of addition and subtraction (fact families) to 10

113117

112113

313 h Select and use various representations of ordinal and cardinal numbers 114 112

113

i Identify model and label simple fractions Describe and define them as equal parts of a whole a region or a set (eg frac12 bullsbquo frac14)

115 112113

j Skip count by 2rsquos 5rsquos and 10rsquos (orally) 116 112113

k Add by 10rsquos 116 112113

l Identify even and odd numbers (0-20) 116 112113

Measurement

a Compare and order objects by various measurable attributes including calendar temperature length and weight

211 112113

b Estimate and measure to the nearest inch and foot 212214

112113

c Tell time to the nearest hour distinguishing between morning afternoon and evening

215 112113

d Identify coins their value and the value of given sets of coins (penny nickel and dime)

216 112113

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (2 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo 311 112

113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator

312 112113

c Add and subtract whole numbers to 20 using a variety of models and algorithms

313 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Solve simple functions by identifying and applying addition patterns 412 112113

c Complete open space sentences with missing numbers use appropriate vocabulary including greater than less than and equal to

415 112113

Geometry

a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation

511 112113

b Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

c Model lines of symmetry 513 112113

d Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

e Draw and build familiar shapes 517 112

113

Statistics and Probability

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (3 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

a Model how to collect record organize display and explain the classification of data

611 112113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and venn diagrams

612 112113

c Find and record the possibilities of simple probability experiments 615 112

113

d Model a survey and tally the results 616 112113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (4 of 4)10182006 31604 PM

KPBSD Curriculum Grade 2 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 2

Mathematics

Grade2

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Formulate problems from practical and mathematical activities 111 112

113

b Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112 112113

c Predict an answer before solving a problem and compare results to check for reasonableness

113 112113

Communication a Translate problems from everyday language into math language and symbols 111

Reasoning a Draw conclusions about mathematical problems 111 b Find examples that support or refute mathematical statements 112 c Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration

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KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

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KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

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KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

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KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

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KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

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KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

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KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

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KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

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KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

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KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

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KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

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KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

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KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

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KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

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KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

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KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

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KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

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KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 1 Math

113 c Order whole numbers (0-100) 111 112

113

d Count whole numbers (0-100) 111 112113

e Model one-to-one correspondence with whole numbers (0-100) 111 112113

f Use model and identify place value positions of 1rsquos and 10rsquos to 99 112 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Model and explain the processes of addition and subtraction (fact families) to 10

113117

112113

313 h Select and use various representations of ordinal and cardinal numbers 114 112

113

i Identify model and label simple fractions Describe and define them as equal parts of a whole a region or a set (eg frac12 bullsbquo frac14)

115 112113

j Skip count by 2rsquos 5rsquos and 10rsquos (orally) 116 112113

k Add by 10rsquos 116 112113

l Identify even and odd numbers (0-20) 116 112113

Measurement

a Compare and order objects by various measurable attributes including calendar temperature length and weight

211 112113

b Estimate and measure to the nearest inch and foot 212214

112113

c Tell time to the nearest hour distinguishing between morning afternoon and evening

215 112113

d Identify coins their value and the value of given sets of coins (penny nickel and dime)

216 112113

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (2 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo 311 112

113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator

312 112113

c Add and subtract whole numbers to 20 using a variety of models and algorithms

313 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Solve simple functions by identifying and applying addition patterns 412 112113

c Complete open space sentences with missing numbers use appropriate vocabulary including greater than less than and equal to

415 112113

Geometry

a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation

511 112113

b Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

c Model lines of symmetry 513 112113

d Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

e Draw and build familiar shapes 517 112

113

Statistics and Probability

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (3 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

a Model how to collect record organize display and explain the classification of data

611 112113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and venn diagrams

612 112113

c Find and record the possibilities of simple probability experiments 615 112

113

d Model a survey and tally the results 616 112113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (4 of 4)10182006 31604 PM

KPBSD Curriculum Grade 2 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 2

Mathematics

Grade2

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Formulate problems from practical and mathematical activities 111 112

113

b Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112 112113

c Predict an answer before solving a problem and compare results to check for reasonableness

113 112113

Communication a Translate problems from everyday language into math language and symbols 111

Reasoning a Draw conclusions about mathematical problems 111 b Find examples that support or refute mathematical statements 112 c Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (1 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (2 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (3 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (1 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (2 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (3 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (3 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

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KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 1 Math

Estimation and Computation

a Make reasonable estimates of ldquohow manyrdquo and ldquohow muchrdquo 311 112

113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator

312 112113

c Add and subtract whole numbers to 20 using a variety of models and algorithms

313 112113

Mathematics

Grade1

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Solve simple functions by identifying and applying addition patterns 412 112113

c Complete open space sentences with missing numbers use appropriate vocabulary including greater than less than and equal to

415 112113

Geometry

a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation

511 112113

b Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

c Model lines of symmetry 513 112113

d Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

e Draw and build familiar shapes 517 112

113

Statistics and Probability

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (3 of 4)10182006 31604 PM

KPBSD Curriculum Grade 1 Math

a Model how to collect record organize display and explain the classification of data

611 112113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and venn diagrams

612 112113

c Find and record the possibilities of simple probability experiments 615 112

113

d Model a survey and tally the results 616 112113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (4 of 4)10182006 31604 PM

KPBSD Curriculum Grade 2 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 2

Mathematics

Grade2

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Formulate problems from practical and mathematical activities 111 112

113

b Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112 112113

c Predict an answer before solving a problem and compare results to check for reasonableness

113 112113

Communication a Translate problems from everyday language into math language and symbols 111

Reasoning a Draw conclusions about mathematical problems 111 b Find examples that support or refute mathematical statements 112 c Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (1 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (2 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (3 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (1 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (2 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (3 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (3 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

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KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

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KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

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KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

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KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 1 Math

a Model how to collect record organize display and explain the classification of data

611 112113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and venn diagrams

612 112113

c Find and record the possibilities of simple probability experiments 615 112

113

d Model a survey and tally the results 616 112113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_1htm (4 of 4)10182006 31604 PM

KPBSD Curriculum Grade 2 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 2

Mathematics

Grade2

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Formulate problems from practical and mathematical activities 111 112

113

b Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112 112113

c Predict an answer before solving a problem and compare results to check for reasonableness

113 112113

Communication a Translate problems from everyday language into math language and symbols 111

Reasoning a Draw conclusions about mathematical problems 111 b Find examples that support or refute mathematical statements 112 c Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (1 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (2 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (3 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (1 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (2 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

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KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

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KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

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KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

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KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

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KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 2 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 2

Mathematics

Grade2

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Formulate problems from practical and mathematical activities 111 112

113

b Develop and apply strategies including guess and check modeling and acting out drawing and extending patterns to solve a variety of problems

112 112113

c Predict an answer before solving a problem and compare results to check for reasonableness

113 112113

Communication a Translate problems from everyday language into math language and symbols 111

Reasoning a Draw conclusions about mathematical problems 111 b Find examples that support or refute mathematical statements 112 c Explain why a prediction estimation or solution is reasonable 113

Connections a Apply mathematical skills and processes to literature 111 b Apply mathematical skills and processes to situations with self and family 112

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (1 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (2 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (3 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (1 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (2 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

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KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

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KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 2 Math

a Read write order and count whole numbers (0-999) 111 112113

b Use model and identify place value positions of 1rsquos 10rsquos and 100rsquos to 999 112 112 113

c Model and explain the processes of addition and subtraction (fact families) to 20

113117

112113

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

d Select and use various representations of ordinal and cardinal numbers 114 112

113

e Identify model and label simple fractions describing and defining them as equal parts of a whole a region or a set (eg frac14 bull frac12)

115 112113

f Skip count by 2rsquos 5rsquos 10rsquos (orally and written) 116 112

113

g Add and subtract by 10rsquos 116 112113

h Identify even and odd numbers 116 112113

i Demonstrate the commutative and identity properties of addition (fact families)

117 112113

Measurement a Compare and order objects by various measurable attributes including calendar temperature length weight capacity area and volume

211 112113

b Estimate and measure objects to the nearest inch foot and yard Introduce centimeters and meters

212214

112113

c Tell time to the nearest frac12 hour Introduce elapsed time to the hour and distinguish between morning noon and evening

215 112113

d Identify penny nickel dime and quarter their values and the value of given sets of coins

216 112113

Estimation and Computation

a Estimate the results of simple addition and subtraction problems as more or less than 10

311 112113

b Recall and use basic addition and subtraction facts orally and with paper and pencil without a calculator to 20

312 112113

c Add and subtract whole numbers to 100 using a variety of models and 313 112

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KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (3 of 4)10182006 31608 PM

KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

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KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

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KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

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KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

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KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

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KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

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KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

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KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 2 Math

algorithms 113 d Model multiplication as repeated addition and grouping objects model division as ldquosharing equallyrdquo and grouping objects

314 112113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions and Relationships a Recognize describe create and extend repeating and increasing patterns with a variety of materials including symbols and manipulatives

411 112113

b Generate and solve simple functions by identifying and applying addition and subtraction patterns

412 112113

c Introduce a calculator to find and extend patterns in the number system 413 112

113

d Complete open space sentences (addend minuend) with missing numbers 415 112113

e Complete open space sentences using greater than less than and equal to use correct symbols

415 112113

Geometry a Identify sort describe model and compare circles triangles and rectangles (including squares) regardless of orientation Introduce parallelogram hexagon and trapezoid

511 112113

b Identify sort describe model and compare plane and solid figures including cubes cylinders and spheres

512 112113

c Identify and create examples of line of symmetry 513 112

113

d Compare and describe given circles triangles and rectangles as larger smaller or congruent

513 112113

e Demonstrate conservation of area using drawings or manipulatives 514 112

113

f Describe and identify geometric transformations including slides flips and turns

515 112113

g Use comparative directional and comparative positional words above below inside outside on in right and left horizontal vertical and middle

516 112113

h Draw and build familiar shapes 517 112

113

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

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KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

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KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

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KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

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KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

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KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

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KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

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KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

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KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

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KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 2 Math

Statistics and Probability a Collect record organize display and explain the classification of data 611 112

113

b Describe data from a variety of visual displays including tallies tables pictographs bar graphs and Venn diagrams

612 112113

c Use the terms maximum minimum more or less fewer same as or equal to 613 112 113 d Find and record the possibilities of simple probability experiments explain differences between chance and certainty and give examples Use the terms likely and unlikely based on repeated observations

613615

112113

e Conduct a survey and tally the results 616 112 113

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_2htm (4 of 4)10182006 31608 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

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KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

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KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

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KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

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KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

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KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

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KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Math Grade 3

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 3

Mathematics

Grade3

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Use manipulatives to solve problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems

121123

123 123

Communication

a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration a Read and write numbers (0-999) 121 b Compare and order numbers (0-999) 121

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KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

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KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

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KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

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KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

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KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

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KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Math Grade 3

c Count and model one-to-one correspondence using numbers (0-999) 121

d Skip count by numbers through 10 and explain the relationship between skip counting repeated addition and multiplication

121123

e Identify represent and explain place value concepts using models pictures and words (0-999)

122

f Explore fraction and decimal equivalents using tenths and hundredths 122

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod) g Use decimal notation for monetary values 122

125

h Model the relationships among the four basic operations using fact families 123 i Identify and describe different representations for the same number expanded form standard form and word form

124

j Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide and =

124

k Read write and model fractions 125 l Compare and order simple fractions 125 m Identify the multiples of whole numbers using models pictures and symbols 126 n Demonstrate commutative and identity properties add 0 or multiply by 1 127

Measurement a Estimate and measure to the nearest half inch inch foot yard centimeter and meter

221 223 224

b Estimate and measure to the nearest pound or kilogram 221

223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

f Find elapsed time 225 g Count assorted bills and coins to $2000 226 h Make change from a $1 $5 and $10 bill 226

CONTENTPERFORMANCE

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KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

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KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

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KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

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KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

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KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

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KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

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KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

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KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

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KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

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KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Math Grade 3

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 and 1000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-5 322 d Demonstrate multiplication and division facts 0-10 322 e Model record and explain addition and subtraction with regrouping to a sum of 1000

323

f Add and subtract fractions with common denominators to 12 125

323

g Add and subtract money amounts 323 h Using manipulatives find equivalent fractions 325

Functions and Relationships a Use and describe patterns and their extensions to solve problems 421 b Find the rule the input or the output to inputoutput scenarios 422 c Use lists and tables to identify patterns and solve problems 424

Geometry a Identify circles basic polygons and geometric solids 521 b Identify right angles and compare other angles to them 521 c Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

d Identify and model congruent and similar geometric figures 523 e Show an understanding of symmetry by cutting or folding patterns along at least two lines of symmetry

523

f Find the area and perimeter of given squares and rectangles using manipulatives or grids

524

g Identify and model transformations of geometric figures describing the motions as slides flips or turns

525

h Introduce the skill of locating a given point on a coordinate grid 526 i Draw and name points lines rays line segments parallel lines and perpendicular lines

527

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Collect and organize data in a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (3 of 4)10182006 31612 PM

KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (3 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Math Grade 3

c Using manipulatives describe and interpret a data set using median and mode 623 d Determine and explain whether a game is mathematically fair or unfair 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625 626

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_3htm (4 of 4)10182006 31612 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (3 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 4 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 4

Mathematics

Grade4

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction and multiplication problems containing an unknown 425 121 b Write and solve word problems that use equations containing a variable 425 121

c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (1 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (3 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 4 Math

a Read and write numbers (001-1000000) 121 b Compare and order numbers (001-1000000) 121 c Count and model one-to-one correspondence using numbers (001-1000000) 121 d Explain the relationship between skip counting repeated addition and multiplication

121 123

e Identify represent and explain place value concepts using models pictures and words with numbers (001-1000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fractions and decimal equivalents using tenths and hundredths 122 g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form and word form

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols lt gt + shy x divide and =

124

j Read write and model fractions 125 k Compare and order fractions 125 l Find the multiples of whole numbers (0-10) 126 m Identify all the factors of a given product 126 n Identify a number as being prime or composite 126 o Demonstrate the commutative and identity properties of multiplication 127

Measurement

a Estimate andor measure to the nearest quarter inch inch foot yard mile centimeter and meter

221 223 224

b Estimate andor measure to the nearest ounce pound or kilogram 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

222

e Introduce use of protractor to measure angles 224 f Tell time to the nearest minute using analog and digital clocks identifying AM and PM

225

g Find elapsed time within a 12 hour period AM or PM 225

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (2 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (3 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 4 Math

h Count assorted bills and coins to $10000 226 i Make change from a $1 $5 $10 and $20 bill 226

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation a Round to the nearest 10 100 1000 10000 and 100000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication facts 0-10 322 d Demonstrate andor use multiplication and division facts 0-10 322 e Demonstrate addition and subtraction with regrouping to an answer of 10000 323 f Add and subtract simple fractions with like and unlike denominators 125

323

g Add and subtract money amounts 125323

h Multiply whole numbers up to and including 4-digit by 2-digit 324 i Divide multi-digit whole numbers by a single digit 324 j Find equivalent fractions and convert between mixed numbers and improper fractions

325

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple function tables by identifying and applying addition subtraction and multiplication patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

Geometry

a Classify polygons and other two dimensional figures from visual and verbal cues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (3 of 4)10182006 31617 PM

KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 4 Math

f Identify and model congruent and similar geometric figures 523 g Identify and draw lines of symmetry in regular polygons or pictures 523 h Compute the area and perimeter of given regular and irregular shapes 524 i Find the radius and diameter of a given circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Locate points specified by ordered pairs on a rectangular coordinate grid 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median and range of a set of data 623 d Present probability data using fractions 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible possible or certain to happen

625

Words in bold are grade level vocabulary words

fileC|Documents20and20Settingse02472Desktopmathmath_4htm (4 of 4)10182006 31617 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 5 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 5

Mathematics

Grade5

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Problem Solving a Solve addition subtraction multiplication and division problems containing an unknown

425 121

b Write and solve word problems that use equations containing a variable 425 121 c Select apply organize and communicate a variety of strategies to solve problems justify strategies and solutions as reasonable

122 123

123 123

Communication a Use mathematical vocabulary appropriate to the problem 121 b Represent mathematical and practical situations using manipulatives pictures and symbolic representation

122

Reasoning a Draw logical conclusions about mathematical situations 121 b Given a rule or generalization determine whether the example fits 122

Connections a Apply mathematical skills to other content areas and real life situations 121

122

Numeration

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (1 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 5 Math

a Read and write numbers (0001-1000000000) 121 b Identify and compare integers on a number line find absolute value of an integer

121

c Compare and order numbers (00001-1000000000) 121 d Count and model one-to-one correspondence using numbers (0001-1000000000)

121

e Identify represent and explain place value concepts using models pictures and words (0001-1000000000)

122

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Numeration (Contrsquod)

f Convert fraction and decimal equivalents using tenths hundredths and thousandths

122

g Identify the relationships and inverse relationships within the four basic operations

123

h Identify and describe different representations for the same number expanded form standard form word form and scientific notation

124

i Demonstrate how words in a word problem correspond to the following mathematical symbols + - x divide = gtcedil and lt

125

125 j Read write and model fractions and mixed numbers 125 k Compare and order fractions and mixed numbers 125 l Find the multiples of whole numbers 126 m Find the least common multiple in a pair or set of numbers 126 n List all the factors and prime factors of any product 126 o Find the greatest common factor in a pair or set of numbers 126 p Demonstrate commutative and identity properties of multiplication 127

Measurement a Estimate andor measure to the nearest eighth inch inch foot yard mile millimeter centimeter meter and kilometer

221 223 224

b Estimate andor measure to the nearest ounce pound kilogram or ton 221223

c Read temperatures in Fahrenheit and Celsius 221223

d Identify and use equivalent measurements (eg 60 seconds = 1 minute 2 cups = 1 pint)

221 222 223

e Use a protractor to draw and measure angles 224

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (2 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 5 Math

f Tell time to the nearest minute using analog and digital clocks identify AM and PM

225

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Measurement (Contrsquod)

g Find elapsed time to the minute within a 24 hour period 225 h Count assorted bills and coins to any given amount 226 i Make change and count back change from any given amount 226

Estimation and Computation a Round to the nearest 01 10 100 1000 10000 100000 1000000 321 b Use front-end estimation to check the reasonableness of solutions 321 c Memorize multiplication and division facts 0-12 322 d Demonstrate andor use multiplication and division facts 0-12 322 e Introduce order of operations 322

422

f Demonstrate addition and subtraction with regrouping to a sum of 100000 323 g Add and subtract fractions with like and unlike denominators 125

323

h Convert between fractions and decimals 325 i Convert between decimals and percents 325 j Add subtract multiply and divide money amounts 125

323324

k Multiply numbers up to and including 4-digit by 3-digit 324 l Divide multi-digit whole numbers by 2-digit numbers 324 m Find equivalent fractions and convert between mixed numbers and improper fractions

325

n Use equivalent ratios to interpret scale drawings 326

Functions and Relationships a Find a pattern explain its rule and extend the pattern 421 b Generate and solve simple functions by identifying and applying addition subtraction multiplication and division patterns

422

c Explain the patterns in place value charts fact tables and other data displays 424

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (3 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 5 Math

Geometry a Classify polygons and other two dimensional figures from visual and verbal clues

521

b Identify and describe properties of polygons 521 c Identify classify and compare various triangles and quadrilaterals according to their sides andor angles

521

d Classify angles as right obtuse acute or straight 521 e Identify and describe plane and solid figures using relevant attributes including the number of vertices edges and faces

522

f Identify and model congruent and similar geometric figures 523 g Compute the area and perimeter of given regular and irregular shapes 524 h Model the relationship between area and perimeter 524 i Find and use the formula to calculate the area and circumference of a circle 524 j Identify and model transformations of geometric figures describing the motions as slides (translations) flips (reflections) andor turns (rotations)

525

k Graph ordered pairs in the four quadrants of the coordinate plane 526 l Draw label and compare points midpoints lines rays line segments intersecting lines parallel lines and perpendicular lines

527

Statistics and Probability a Collect and organize data use it to construct a chart table or graph 621 b Describe and explain data from tables charts and graphs use the data to make predictions

622

c Find the mean median mode and range of a set of data 623 d Present probability data using fractions in simplest terms 625 e In a probability experiment determine whether an event is certain likely equally likely unlikely impossible or possible to happen

625 626

Words in bold are grade level vocabulary words

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (4 of 5)10182006 31621 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 5 Math

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathmath_5htm (5 of 5)10182006 31621 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Math Assessments K-5

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments K-5

ASSESSMENTSKINDERGARTEN ndash FIFTH GRADE

Anecdotal notes

Guided practice

Independent work

Models using manipulatives

Oral conferencing

Portfolios

Problems of the weekday

Rubrics

Tests and quizzes

fileC|Documents20and20Settingse02472Desktopmathassessmentsk_8htm10182006 31622 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Middle School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Middle School Introduction

Middle School(Grades 6-8)

To help prepare for tomorrowrsquos world the Kenai Peninsula Borough School District believes the middle school student must achieve mathematical literacy and develop the concepts skills and dispositions necessary for a meaningful and productive life Students must gather data make

conjectures formulate models invent counter-examples and present solid arguments to help clarify complex situations Furthermore students should see mathematics as a powerful and useful tool in their lives in their pursuit of knowledge in other subject areas and in their careers While keeping in line with the National Council Teachers of Mathematicsrsquo recommendations as well as meeting the standards as set forth by the Alaska Department of Education the Kenai Peninsula Borough School District provides an integrated mathematics curriculum During these middle school years educators must continue to provide encouragement to students and enable them to develop confidence in their ability to make sense of mathematics A focal point for this age group is making connections between mathematics and their future options so that their academic and work-related choices are kept as broad as possible This curriculum allows all students to develop skills and concepts which are needed for success in algebra

fileC|Documents20and20Settingse02472DesktopmathMiddle_introhtm10182006 31622 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 6 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 6

Mathematics

Grade6

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order integer and decimal numbers 131

134

b Read write model and order fractions with like and unlike denominators c Identify and translate between fractions (both proper and improper) decimal numbers and percentages

134 135

335 d Identify prime and composite numbers 136 e Select appropriate form of numbers to use in a given situation 134 131 f Identify numbers written in scientific notation 131

134 131

g Use vocabulary of commutative and associative identify properties with real numbers

137 131

Measurement a Measure time money distance area and volume to a specified degree of accuracy

231 132

b Measure and convert in standard system 232 c Measure and convert in metric system 232 d Use ruler protractor and compass accurately 233 e Find missing angle and measure side lengths of polygons 234 131 f Calculate elapsed time 235 132

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (1 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 6 Math

a Add subtract multiply and divide decimals fractions and mixed numbers 332 333

334 b Introduce basic operations with integers 332 c Find GCF (Greatest Common Factor) and LCM (Least Common Multiple) 136

333

d Apply order of operations 332 e Estimate sums differences products and quotients using compatible numbers 332

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Round to the nearest round up and down to estimate results 331 g Use ratios and proportions to solve problems 336 131 131 h Calculate powers (exponents) 332 131

Functions and Relationships a Identify and define variables 131

132131 131

132 b Write and solve algebra equations using whole numbers and variables 435 132 131

132133 132

c Use the coordinate system 434 132 131 d Graph linear equations 434 132 132 e Identify and predict patterns in tables and sequences (lists) 431 132 131 131

132

Geometry a Classify and measure lines and angles 133 131 b Classify triangles as acute right or obtuse equilateral isosceles or scalene 531 131 131 c Identify and classify quadrilaterals 531 131 131 d Identify regular and irregular polygons 531 131 131 e Identify and describe perpendicular and parallel lines 537 131 131 132 f Identify describe and draw 3-D figures 532 131 131 131

132 g Draw identify and describe transformations of 2-D figures (slides turns flips shrinkenlarge)

535 131 131 131 132

h Identify and calculate congruent and similar figures 533 131 131 i Measure and calculate length angles perimeter and area of triangles and quadrilaterals

232 537

132 132 132

j Create and explore similar figures 533 133 133 131 k Use pi to compute circumference and area of circles 537 132 132 131

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (2 of 3)10182006 31625 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 6 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Statistics and Probability

a Identify and use bar graphs line graphs stem and leaf plots frequency charts circle graphs and pictographs

631 132 131 131 132

b Use line graphs to identify trends and make predictions 634 133 133 131

132 c Calculate mean median mode and range 633 131 131 131

132 d Use uniform scaled interval to draw bar and line graphs 131 132 131

132 e Explore probability written as a ratio 635

636133 133 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_6htm (3 of 3)10182006 31625 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 7 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Grade 7

Mathematics

Grade7

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Read write and order decimals fractions and integers 131 131 b Identify exponential numbers and numbers written in scientific notation (with a focus on powers of 10)

131 131

c Convert between decimals integers exponential notation and numbers written in scientific notation

134 131 132 131

d Select the appropriate number format to suit a situation 132 e Write equivalent fractions and fractions in lowest terms 134

335 132

f Use GCF and LCM to rename fractions 134335

132

Measurement

a Estimate and measure distance area volume angles mass and weight in both the Customary and Metric systems

231 232

133 131 132

b Measure using rulers protractors magnetic compass scales and tape measures 233 131 c Find missing measures of angles or sides of polygons 234 131

133 131

d Introduce the Pythagorean Theorem 234 132 131 e Calculate elapsed time and time change over global time zones 234 131 132

141

Estimation and Computation

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (1 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 7 Math

a Add subtract multiply and divide integers fractions mixed numbers and decimals

333 334

131 133

b Calculate percentages percent increase and percent decrease 334 133 131 132 c Use equations and proportions to solve percent problems 336

135132 133

d Calculate squares and square roots 131335

131

e Apply order of operations 332 131

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

f Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 131 131 132

g Understand and use percents greater than 100 and less than 1 335

336

Functions and Relations

a Write algebra equations from known facts and unknown information 435 131 131

132

b Solve algebra equations involving addition and subtraction using rational numbers

435 133 133

c Solve algebra equations involving multiplication and division using rational numbers

435 133 133

d Solve 2-step algebra equations using rational numbers 435 133 133 e Understand and use inverse operations 442 133 133 f Relate formulas tables graphs and equations 434 133 132 g Use the coordinate system 434 132 132 h Graph linear equations 434 132 132 131 i Represent situations using equations and inequalities 131 131

132 j Graph inequalities with 1 variable 132 133 k Solve problems using 2-step algebra equations 435 131 131

132131

l Identify and predict patterns in tables and sequences over many terms 431 131132

131132

m Identify and describe how changing one variable affects another variable in a problem (proportional thinking and rate of change concepts)

432 433

131 133

133 131 132

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (2 of 3)10182006 31628 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 7 Math

a Explore parallel and perpendicular lines and related angles 537 131 b Draw measure and classify angles triangles quadrilaterals and circles 537

531 132 131

c Calculate perimeter (circumference) and area of simple polygons and circles 233534

133 132

d Compare side length angle measure perimeter and area of similar figures 533 535

131 131

e Apply the Pythagorean Theorem 234 132 131 132 536 133 f Calculate surface area and volume of simple 3-D figures 532

534133 133 132

Statistics and Probability

a Use and interpret bar graphs line graphs circle graphs and scatterplots 631 131

132131 131

132 b Organize information using rank order tallies frequency charts line plots and stem and leaf plots

631 131 132 131 133

131 132

c Analyze information using scatterplots trendlines mean median mode range upper and lower quartiles and box and whisker plots

632 633 634

131 131 131 132

d Draw graphs using uniform scale and intervals 631 132133

131132

e Describe an event as being more or less likely using words andor numbers Understand the ideas of fairness and odds

636 133 131 132

131 131 132

f Use tree diagrams and counting methods to predict outcomes for an event 635 132 132 131 131 g Determine whether events are independent or dependent 635 131 131 131 131

132

fileC|Documents20and20Settingse02472Desktopmathmath_7htm (3 of 3)10182006 31628 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Grade 8

Mathematics

Grade8

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Numeration a Identify read write order and use real numbers including integers decimals percents exponents and numbers in scientific notation

131 133 131 132 132

b Use other bases to count to base 10 base 2 base 60 132 132 133 133 c Identify and use vocabulary of algebraic properties for real numbers and begin to understand application to variables

136 137

133 131 131

d Use percents ratios and proportions 135

336 131

Measurement

a Use ratios and proportions to convert measurements within and between the standard and metric systems

232 242

132

b Use ratios and proportions to solve problems involving congruent and similar figures indirectly

234 533

132 131 132

c Use Pythagorean Theorem to find missing sides of a right triangle 244 131 131 133

Estimation and Computation a Add subtract multiply and divide decimals fractions and mixed numbers 333

334131 131

b Calculate percentages percents increase and decrease 334 133 133 131 c Calculate squares and square roots 131

335 132 132

d Use Pythagorean Theorem 234 131 133 e Use Distance Formula 234

335131

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (1 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 8 Math

f Use equations and proportions to solve percent problems 336 132 131 132 g Solve one and two step algebraic equations 332

333435

132 132

h Solve one and two step algebraic inequalities 332435

i Add and subtract numbers written in scientific notation within the same power of 10

332 343

133

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Estimation and Computation (Contrsquod)

j Estimate results of basic operations mentally using compatible numbers rounding to the nearest and truncating

331 332

131

k Simplify expressions by combining like terms and applying the distributive property

332

Functions and Relationships a Reinforce and extend the algebraic concepts of the 7th grade curriculum b Solve algebra equations involving addition subtraction multiplication and division with two steps for rational numbers

435 133 133

c Apply algebraic expressions to real world situations 131 131

132 d Relate formulas tables graphs and equations 434 133 132 e Solve algebraic equations using tables or graphs 434 133 132 131 f Graph linear equations 434 132 132 131 g Identify and predict patterns in tables and sequences to the ldquonthrdquo term 431 131

132132 131

132 h Graph inequalities in one and two variables 132 133 i Apply algebraic concepts to situations 132 131

132

Geometry a Use perpendicular and parallel lines to find congruent vertical complementary and supplementary angles

537 131 133

b Draw measure and classify angles triangles quadrilaterals and circles 531

537 132 131

c Use Pythagorean Theorem to calculate distance in 2-D figures 234 132 131133

132

d Solve right triangles given two angles or two sides 234536

132 131

e Use the coordinate system to explore and describe 2-D figures 434536

132 132

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (2 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 8 Math

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Geometry (Contrsquod)

f Draw and describe transformation applied in 2-D figures (flips turns slides and size changes)

535 132 133

g Identify and use symmetry to describe and measure 2-D figures 533

535 131

Statistics and Probability

a Measure central tendency using mean median and mode 633 132 132 131 b Measure spread of data using minimum and maximum range upper and lower quartile

633 634

132 132

c Use a variety of graphs and sources to display and analyze data 631

632131

d Use and apply results of probability experiments simulations counting methods and measurements to communicate ideas related to theoretical experimental and geometric probability

635 636

132 131

e Identify find and define events outcomes sample space and probability 635 131 132

ASSESSMENTSGRADES 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (3 of 4)10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Grade 8 Math

Tests

fileC|Documents20and20Settingse02472Desktopmathmath_8htm (4 of 4)10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum Math Assessments Grades 6-8

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 6-8

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments6_8htm10182006 31631 PM

KPBSD Curriculum High School Math Introduction

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum High School Introduction

High School(Grades 9-12)

KPBSD believes that all students will have a core mathematics experience that requires algebra and gives them opportunities for directed advanced studies Mastery of algebra may occur at the middle school or at the high school level Upon mastery students may advance through a traditional

college preparatory experience that can culminate in calculus Mathematics instruction will emphasize integration and application Learning will center on concrete activities and modeling which paint mathematics as an activity and a process not simply as a body of content that needs to be mastered Students must demonstrate mastery of one level of instruction before moving to the next level as the concepts are sequential and dependent A ninth grade student may enter at any one of four points in the sequence (based on performance in eighth grade algebra-rich course work) The courses in the KPBSD curriculum follow national standards

fileC|Documents20and20Settingse02472DesktopmathHS_Intro_charthtm (1 of 2)10182006 31632 PM

KPBSD Curriculum High School Math Introduction

fileC|Documents20and20Settingse02472DesktopmathHS_Intro_charthtm (2 of 2)10182006 31632 PM

KPBSD Math Curriculum Pre-Algebra

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Pre Algebra

Pre Algebra

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Whole NumbersIntegers a Operations 131 131 131 131 141 b Recognition 134 132 132 132 142 c Number line 332

341431

133 133 133

Fractions

a Operations 131 131 131 131 141 b Ordering 134 132 132 132 142 333

341352

133 133 133

Decimals

a Operations 131 131 131 131 141 b Ordering 134 132 132 132 142 332

341133 133 133

PercentsDecimalsFractions

a Conversion 131 131 131 131 141 b Comparing 134 132 132 132 142 135

333335

133 133 133

fileC|Documents20and20Settingse02472Desktopmathpre_algebra20htm (1 of 3)10182006 31635 PM

KPBSD Math Curriculum Pre-Algebra

341

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

PerimeterArea

a Calculating 534 131 131 131 141 b Geometric applications 132

133132133

132133

142

FactoringDivisibility

a Prime numbers 136 131 131 131 141 b Composite numbers 132 132 132 142 133 133 133

RatesRatiosProportions a Conversions 131 131 131 131 141 b Comparing 134

336341

132133

132133

132133

142

Converting UnitsMeasurement

a Standard 232 131 131 131 141 b Metric 132

133132133

132133

Solving Equations

a One step linear 432 131 131 131 141 b Introduce two steps 132

133132133

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

VariablesExpressions

a Recognition 435 131 131 131 141 b Manipulating 132

133132133

132133

142

StatisticsProbability

a Mean 631 131 131 131 141 b Median 633 132 132 132 142 c Mode 634 133 133 133 d Theoretical 636 e Experimental

fileC|Documents20and20Settingse02472Desktopmathpre_algebra20htm (2 of 3)10182006 31635 PM

KPBSD Math Curriculum Pre-Algebra

Order of Operations

a Parenthesis 136 131 131 131 141 b Exponents 132

133132133

132133

142

fileC|Documents20and20Settingse02472Desktopmathpre_algebra20htm (3 of 3)10182006 31635 PM

KPBSD Curriculum Algebra A

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra A

ALGEBRA A

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluations 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing Lines

a Linear 431

432434

141142143

131132133

141142

Exponents

a Read write and model 131 131 141

b Translate between equivalents 141343

142

Polynomials

a Recognition 445 141 131 141 b Degree 132 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_a20htm (1 of 3)10182006 31638 PM

KPBSD Math Curriculum Pre-Algebra

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Pre Algebra

Pre Algebra

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Whole NumbersIntegers a Operations 131 131 131 131 141 b Recognition 134 132 132 132 142 c Number line 332

341431

133 133 133

Fractions

a Operations 131 131 131 131 141 b Ordering 134 132 132 132 142 333

341352

133 133 133

Decimals

a Operations 131 131 131 131 141 b Ordering 134 132 132 132 142 332

341133 133 133

PercentsDecimalsFractions

a Conversion 131 131 131 131 141 b Comparing 134 132 132 132 142 135

333335

133 133 133

fileC|Documents20and20Settingse02472Desktopmathpre_algebra20htm (1 of 3)10182006 31635 PM

KPBSD Math Curriculum Pre-Algebra

341

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

PerimeterArea

a Calculating 534 131 131 131 141 b Geometric applications 132

133132133

132133

142

FactoringDivisibility

a Prime numbers 136 131 131 131 141 b Composite numbers 132 132 132 142 133 133 133

RatesRatiosProportions a Conversions 131 131 131 131 141 b Comparing 134

336341

132133

132133

132133

142

Converting UnitsMeasurement

a Standard 232 131 131 131 141 b Metric 132

133132133

132133

Solving Equations

a One step linear 432 131 131 131 141 b Introduce two steps 132

133132133

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

VariablesExpressions

a Recognition 435 131 131 131 141 b Manipulating 132

133132133

132133

142

StatisticsProbability

a Mean 631 131 131 131 141 b Median 633 132 132 132 142 c Mode 634 133 133 133 d Theoretical 636 e Experimental

fileC|Documents20and20Settingse02472Desktopmathpre_algebra20htm (2 of 3)10182006 31635 PM

KPBSD Math Curriculum Pre-Algebra

Order of Operations

a Parenthesis 136 131 131 131 141 b Exponents 132

133132133

132133

142

fileC|Documents20and20Settingse02472Desktopmathpre_algebra20htm (3 of 3)10182006 31635 PM

KPBSD Curriculum Algebra A

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra A

ALGEBRA A

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluations 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing Lines

a Linear 431

432434

141142143

131132133

141142

Exponents

a Read write and model 131 131 141

b Translate between equivalents 141343

142

Polynomials

a Recognition 445 141 131 141 b Degree 132 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_a20htm (1 of 3)10182006 31638 PM

KPBSD Math Curriculum Pre-Algebra

341

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

PerimeterArea

a Calculating 534 131 131 131 141 b Geometric applications 132

133132133

132133

142

FactoringDivisibility

a Prime numbers 136 131 131 131 141 b Composite numbers 132 132 132 142 133 133 133

RatesRatiosProportions a Conversions 131 131 131 131 141 b Comparing 134

336341

132133

132133

132133

142

Converting UnitsMeasurement

a Standard 232 131 131 131 141 b Metric 132

133132133

132133

Solving Equations

a One step linear 432 131 131 131 141 b Introduce two steps 132

133132133

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

VariablesExpressions

a Recognition 435 131 131 131 141 b Manipulating 132

133132133

132133

142

StatisticsProbability

a Mean 631 131 131 131 141 b Median 633 132 132 132 142 c Mode 634 133 133 133 d Theoretical 636 e Experimental

fileC|Documents20and20Settingse02472Desktopmathpre_algebra20htm (2 of 3)10182006 31635 PM

KPBSD Math Curriculum Pre-Algebra

Order of Operations

a Parenthesis 136 131 131 131 141 b Exponents 132

133132133

132133

142

fileC|Documents20and20Settingse02472Desktopmathpre_algebra20htm (3 of 3)10182006 31635 PM

KPBSD Curriculum Algebra A

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra A

ALGEBRA A

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluations 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing Lines

a Linear 431

432434

141142143

131132133

141142

Exponents

a Read write and model 131 131 141

b Translate between equivalents 141343

142

Polynomials

a Recognition 445 141 131 141 b Degree 132 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_a20htm (1 of 3)10182006 31638 PM

KPBSD Math Curriculum Pre-Algebra

Order of Operations

a Parenthesis 136 131 131 131 141 b Exponents 132

133132133

132133

142

fileC|Documents20and20Settingse02472Desktopmathpre_algebra20htm (3 of 3)10182006 31635 PM

KPBSD Curriculum Algebra A

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra A

ALGEBRA A

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluations 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing Lines

a Linear 431

432434

141142143

131132133

141142

Exponents

a Read write and model 131 131 141

b Translate between equivalents 141343

142

Polynomials

a Recognition 445 141 131 141 b Degree 132 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_a20htm (1 of 3)10182006 31638 PM

KPBSD Curriculum Algebra A

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra A

ALGEBRA A

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluations 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing Lines

a Linear 431

432434

141142143

131132133

141142

Exponents

a Read write and model 131 131 141

b Translate between equivalents 141343

142

Polynomials

a Recognition 445 141 131 141 b Degree 132 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_a20htm (1 of 3)10182006 31638 PM

KPBSD Curriculum Algebra A

c Coefficients

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Functions

a Notation 431 141 131 141 b Linear functions 432 132 142

c Euler notation 433435

133

Slopes Rate of Change

a Parallel lines 546 141 131 131 141 b Perpendicular lines 142 132 142 c Calculations 143 133

Distance a One dimensional 231 141 131 141

b Two dimensional 242 132133

133 142

Central Tendency Trend Lines

a Mean 341 141 131 131 141 b Median 631 142 132 142 c Mode 634 133 133

d Calculating 642643

Probability

a Theoretical 345 141 131 131 141 b Experimental 645 132 132 142 c Counting principle 133 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Properties of Real Numbers and Algebra a Order of operations 134 131 141 b Commutative property 136 142 c Associative property 137 d Distributive property 147 e Properties of equality 332 f Identities 334

fileC|Documents20and20Settingse02472Desktopmathalgebra_a20htm (2 of 3)10182006 31638 PM

KPBSD Curriculum Algebra A

g Inverses 335

Real Number Systems a Rational numbers 114 131 141 b Irrational numbers 134 142 c Integers 135 d Whole numbers 131 e Natural numbers 334 f Number lines

Measurement Systems a Metric 242 141 131 131 141 b Standard 534 142 c Conversions 243

fileC|Documents20and20Settingse02472Desktopmathalgebra_a20htm (3 of 3)10182006 31638 PM

KPBSD Curriculum Algebra B

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra B

ALGEBRA B

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluating 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing

a Linear 441 141 131 141

b Quadratic 442434

142143

132133

142

Systems of Linear Equations and Inequalities

a Solving algebraically 441 141 131 141 b Solving geometrically 442 142 132 142 c Applications 434 143 133

Exponents a Read write and model 131 131 141

b Translate between equivalents 144 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_bhtm (1 of 3)10182006 31642 PM

KPBSD Curriculum Algebra A

g Inverses 335

Real Number Systems a Rational numbers 114 131 141 b Irrational numbers 134 142 c Integers 135 d Whole numbers 131 e Natural numbers 334 f Number lines

Measurement Systems a Metric 242 141 131 131 141 b Standard 534 142 c Conversions 243

fileC|Documents20and20Settingse02472Desktopmathalgebra_a20htm (3 of 3)10182006 31638 PM

KPBSD Curriculum Algebra B

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra B

ALGEBRA B

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluating 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing

a Linear 441 141 131 141

b Quadratic 442434

142143

132133

142

Systems of Linear Equations and Inequalities

a Solving algebraically 441 141 131 141 b Solving geometrically 442 142 132 142 c Applications 434 143 133

Exponents a Read write and model 131 131 141

b Translate between equivalents 144 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_bhtm (1 of 3)10182006 31642 PM

KPBSD Curriculum Algebra B

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra B

ALGEBRA B

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluating 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing

a Linear 441 141 131 141

b Quadratic 442434

142143

132133

142

Systems of Linear Equations and Inequalities

a Solving algebraically 441 141 131 141 b Solving geometrically 442 142 132 142 c Applications 434 143 133

Exponents a Read write and model 131 131 141

b Translate between equivalents 144 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_bhtm (1 of 3)10182006 31642 PM

KPBSD Curriculum Algebra B

343

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Polynomials

a Recognition 445 141 131 141 b Degree 132 142 c Coefficients

Functions a Notation 431 141 131 141 b Linear functions 432 132 142

c Euler notation 433435

133

Scale and Similarity

a Proportions 135 141 131 131 141

b Ratios 346533

132133

132133

Slopes Rate of Change

a Parallel lines 546 141 131 131 141 b Perpendicular lines 142 132 142 c Calculating 143 133

Right Triangles a Pythagorean Theorem 244 141 131 131 141 b Triangle inequality 132 132 132 142 c Distance 133 133 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Distance a One dimensional 231 141 131 141

b Two dimensional 242 132133

132133

142

Central Tendency Trend Lines

a Mean 341 141 131 131 141 b Median 631 142 132 142 c Mode 642 133 133

fileC|Documents20and20Settingse02472Desktopmathalgebra_bhtm (2 of 3)10182006 31642 PM

KPBSD Curriculum Algebra B

d Calculating 643634

Probability

a Theoretical 345 141 131 131 141 b Experimental 645 132 132 142 c Counting principle 133 133

Minimum and Maximum Properties a Recognition 441 141 131 131 141

142

Properties of Real Numbers and Algebra a Order of operations 134 131 141 b Commutative property 136 142 c Associative property 137 d Distributive property 147 e Identity 332

f Inverse 334335

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Real Number Systems a Rational numbers 141 131 141 b Irrational numbers 134 142 c Integers 135 d Whole numbers 131 e Natural numbers 334 f Number lines

Measurement Systems a Metric 242 141 131 131 141 b Standard 534 142 c Conversions 243

Area Volume a Triangles 534 b Quadrilaterals 542 c Circles 542 d Three dimensional 542

fileC|Documents20and20Settingse02472Desktopmathalgebra_bhtm (3 of 3)10182006 31642 PM

KPBSD Curriculum Algebra 1

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra 1

ALGEBRA 1

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluating 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing

a Linear 441 141 131 141

b Quadratic 442434

142143

132133

142

Systems of Linear Equation and Inequalities

a Solving algebraically 441 141 131 141 b Solving graphically 442 142 132 142 c Applications 434 143 133

Exponents a Read write and model 131 131 141

b Translate between equivalents 144 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_1htm (1 of 3)10182006 31646 PM

KPBSD Curriculum Algebra B

d Calculating 643634

Probability

a Theoretical 345 141 131 131 141 b Experimental 645 132 132 142 c Counting principle 133 133

Minimum and Maximum Properties a Recognition 441 141 131 131 141

142

Properties of Real Numbers and Algebra a Order of operations 134 131 141 b Commutative property 136 142 c Associative property 137 d Distributive property 147 e Identity 332

f Inverse 334335

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Real Number Systems a Rational numbers 141 131 141 b Irrational numbers 134 142 c Integers 135 d Whole numbers 131 e Natural numbers 334 f Number lines

Measurement Systems a Metric 242 141 131 131 141 b Standard 534 142 c Conversions 243

Area Volume a Triangles 534 b Quadrilaterals 542 c Circles 542 d Three dimensional 542

fileC|Documents20and20Settingse02472Desktopmathalgebra_bhtm (3 of 3)10182006 31642 PM

KPBSD Curriculum Algebra 1

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra 1

ALGEBRA 1

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluating 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing

a Linear 441 141 131 141

b Quadratic 442434

142143

132133

142

Systems of Linear Equation and Inequalities

a Solving algebraically 441 141 131 141 b Solving graphically 442 142 132 142 c Applications 434 143 133

Exponents a Read write and model 131 131 141

b Translate between equivalents 144 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_1htm (1 of 3)10182006 31646 PM

KPBSD Curriculum Algebra 1

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 2004

Math Curriculum Algebra 1

ALGEBRA 1

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Variables and Expressions a Recognition 346 131 131 141 b Manipulating 432 132 142 c Evaluating 435 133 d Modeling

Linear Equations and Inequalities a Solving 442 141 131 131 141

b Modeling 142143

132133

132133

142

Identifying and Graphing

a Linear 441 141 131 141

b Quadratic 442434

142143

132133

142

Systems of Linear Equation and Inequalities

a Solving algebraically 441 141 131 141 b Solving graphically 442 142 132 142 c Applications 434 143 133

Exponents a Read write and model 131 131 141

b Translate between equivalents 144 142

fileC|Documents20and20Settingse02472Desktopmathalgebra_1htm (1 of 3)10182006 31646 PM

KPBSD Curriculum Algebra 1

343

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Polynomials

a Recognition 445 141 131 141 b Degree 132 142 c Coefficients

Functions a Notation 431 141 131 141 b Linear functions 432 132 142

c Euler notation 433435

Scale and Similarity

a Proportions and ratios 135

346533

141132133

131132133

131 141142

Slopes Rate of Change

a Parallel lines 546 141 131 131 141 b Perpendicular lines 142 132 142 c Calculating 143 133

Right Triangles a Pythagorean Theorem 244 141 131 131 141 b Triangle inequality 132 132 132 142 c Distance 133 133 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Distance a One dimensional 231 141 131 141

b Two dimensional 242 132133

132133

142

Central Tendency Trend Lines

a Mean 341 141 131 131 141 b Median 631 142 132 142 c Mode 642 133 133

fileC|Documents20and20Settingse02472Desktopmathalgebra_1htm (2 of 3)10182006 31646 PM

KPBSD Curriculum Algebra 1

d Calculating 643634

Probability

a Theoretical 345 141 131 131 141 b Experimental 645 132 132 142 c Counting principle 133 133

Minimum and Maximum Properties a Recognition 441 141 131 131 141

142

Properties of Real Numbers and Algebra a Order of operations 134 131 141 b Commutative property 136 142 c Associative property 137 d Properties of equality 147 e Distributive property 332 f Identities 334 g Inverses 335

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Real Number Systems

a Rational numbers 141 131 141 b Irrational numbers 134 142 c Integers 135 d Whole numbers 131 e Natural numbers 334 f Number lines 144

Measurement Systems a Metric 242 141 131 131 141 b Standard 534 142 c Conversions 243

fileC|Documents20and20Settingse02472Desktopmathalgebra_1htm (3 of 3)10182006 31646 PM

KPBSD Curriculum Geometry

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Geometry

GEOMETRY

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Algebraic Skills Variables Expressions a Minimum and maximum properties 136 131 b Coordinate plane 147 c Scientific notation 343

d Solving equations 141

144344442

Lines - Slopes

a Parallel lines 546 131 131 132 b Perpendicular lines 441 133 132 c Coordinate geometry 444 141 143 142

Euclidian Line Theory a Transversals 541 141 141 141 b Vertical angles 546 142 142 142 c Linear pairs 143 143

Transformations a Reflections 545 141 141 142 b Translations 547 132 142 c Rotations 547 141 142 142

CONTENTPERFORMANCE

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (1 of 3)10182006 31649 PM

KPBSD Curriculum Geometry

ESSENTIAL CONTENTSKILLS A B C D E

Two DimensionalThree Dimensional Figures a Area 224 b Volume 144 c Surface area 344 141 142 142 d Models 341 142 133 e Perimeter 345 445 534 541

542

Similarity and Congruence a Triangle similarity theorems 346 141 131 b Dialations 513 142 133 c Scale factor 547

d Trigonometry theory 135241

Geometric Construction

a Euclidean 543 141 141 142 b Computer generated 547 143

Proof and Laws of Logic

a Elementary triangle logic 142 141 b Two column proofs 143 142 c Logical patterns of logic 142 143 d Conditionals 141 e Inverse 143 142 f Converse 142 143 g Contrapositive 141

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Inductive and Deductive Reasoning

a Algebraic pattern recognition 142 141 141 b Geometric pattern recognition 142 142 c Recognizing logical statements 143 143

Right Triangle Trigonometry

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (2 of 3)10182006 31649 PM

KPBSD Curriculum Geometry

a Tangent ratios 244 141 141 142 b Sine and cosine ratios 341 142 143 c Applications to real life 344 d Vectors 543

Circle Properties a Area 147 141 142 141 b Circumference 242 142 143 c Chords 341 d Tangents 344 e Inscribed and circumscribed angles 541

Geometric Probabilities a Comparison of areas 547 141 142 b Comparison of volumes 635 142

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (3 of 3)10182006 31649 PM

KPBSD Curriculum Advanced Algebra

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 04

Math Curriculum Advanced Algebra

ADVANCED

ALGEBRA

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Solving Equations and Inequalities a Linear 143 141 141 141 141

b Quadratic

341346442444641

141 142 142 142

Solving Systems of Equations and Inequalities

a Linear 341 141 141 141 b Quadratic 442 142 142 142

c Linear programming 443444

143 143 143

Exponents and Logarithms

a Inverse relationships of two functions 142 141 141

b Properties of exponents 144

343344

142143

142143

Quadratics and their Properties

a Completing the square 442 141 141 141 b Factoring 142 142 142 c Modeling 143 143 142

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (1 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Polynomials a Factoring 445 141 141 b Synthetic division 142 142 c Long division 143 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions Trigonometry Rational and Radical a Inverses 244

343445

141142143

141142143

Coordinate Geometry Transformations

a Translations 244 141 141 b Rotations 545 142 142 c Dilations 547 143 143

Probability Statistics a Median ndash median line of best fit 345 141 141 141

b Regression lines

346641643644645646

142143

142143

142143

Recursion Sequence Series

a Arithmetic 343 141 b Geometric 344 142

Inverses a Geometric 441 b Notation 441

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Properties of Real and Complex Numbers a Adding 136 141 b Subtracting 141 143 c Multiplying 143 d Dividing 147 e Roots of polynomials

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (2 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Curve Fitting a Regression curves 641 141 141 141 141 642 142 142 142 142 643 143 143 143 644

Linear Function a Slope ndash intercept form 546 141 141 141 b Point ndash slope form 142 142 142 c Modeling 143 143

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (3 of 3)10182006 31652 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Analysis (Pre-Calculus)

Math Analysis

(Pre-Calculus)

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Transformation of Functions a Translations 543 142 141 141 141 b Stretches and shrinks 545 143 142 142 c Reflections 547

Function Families a Polynomial 144 141 141 141 141 b Rational 147 142 142 142 c Exponential and logarithmic 441

442445644142

143

Trigonometric Functions and Circular Properties

a Sine cosine tangent 242 141 141 141 141 b Law of sines 244 142 142 c Law of cosines 346 143 d Graphs 543 e Polar coordinates

Application of Trigonometric and Circular Functions a Solving triangles 243 141 141 141 141 b Graphing 244 142 142 142 c Inverses 641 143 143

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (1 of 2)10182006 31654 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

d Simple harmonic motion 643

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Vectors

a Magnitude 244 141 141 b Direction 243

641142143

142

Complex Numbers

a Graphing in the complex plane 345 141 141 b Pure imaginary numbers 142 142 c Operations 345

Mathematic Modeling a Statistics correlation coefficient 341 141 141 141 141 b Curve fittingfunction fitting 641 142 142 142 142 c Predictions 642

644441

143 143

Functions

a Composition 141 141 141 b Inverses 142 142 c Graphing 143 d One-to-one functions 142

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (2 of 2)10182006 31654 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Algebra 1

d Calculating 643634

Probability

a Theoretical 345 141 131 131 141 b Experimental 645 132 132 142 c Counting principle 133 133

Minimum and Maximum Properties a Recognition 441 141 131 131 141

142

Properties of Real Numbers and Algebra a Order of operations 134 131 141 b Commutative property 136 142 c Associative property 137 d Properties of equality 147 e Distributive property 332 f Identities 334 g Inverses 335

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Real Number Systems

a Rational numbers 141 131 141 b Irrational numbers 134 142 c Integers 135 d Whole numbers 131 e Natural numbers 334 f Number lines 144

Measurement Systems a Metric 242 141 131 131 141 b Standard 534 142 c Conversions 243

fileC|Documents20and20Settingse02472Desktopmathalgebra_1htm (3 of 3)10182006 31646 PM

KPBSD Curriculum Geometry

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Geometry

GEOMETRY

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Algebraic Skills Variables Expressions a Minimum and maximum properties 136 131 b Coordinate plane 147 c Scientific notation 343

d Solving equations 141

144344442

Lines - Slopes

a Parallel lines 546 131 131 132 b Perpendicular lines 441 133 132 c Coordinate geometry 444 141 143 142

Euclidian Line Theory a Transversals 541 141 141 141 b Vertical angles 546 142 142 142 c Linear pairs 143 143

Transformations a Reflections 545 141 141 142 b Translations 547 132 142 c Rotations 547 141 142 142

CONTENTPERFORMANCE

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (1 of 3)10182006 31649 PM

KPBSD Curriculum Geometry

ESSENTIAL CONTENTSKILLS A B C D E

Two DimensionalThree Dimensional Figures a Area 224 b Volume 144 c Surface area 344 141 142 142 d Models 341 142 133 e Perimeter 345 445 534 541

542

Similarity and Congruence a Triangle similarity theorems 346 141 131 b Dialations 513 142 133 c Scale factor 547

d Trigonometry theory 135241

Geometric Construction

a Euclidean 543 141 141 142 b Computer generated 547 143

Proof and Laws of Logic

a Elementary triangle logic 142 141 b Two column proofs 143 142 c Logical patterns of logic 142 143 d Conditionals 141 e Inverse 143 142 f Converse 142 143 g Contrapositive 141

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Inductive and Deductive Reasoning

a Algebraic pattern recognition 142 141 141 b Geometric pattern recognition 142 142 c Recognizing logical statements 143 143

Right Triangle Trigonometry

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (2 of 3)10182006 31649 PM

KPBSD Curriculum Geometry

a Tangent ratios 244 141 141 142 b Sine and cosine ratios 341 142 143 c Applications to real life 344 d Vectors 543

Circle Properties a Area 147 141 142 141 b Circumference 242 142 143 c Chords 341 d Tangents 344 e Inscribed and circumscribed angles 541

Geometric Probabilities a Comparison of areas 547 141 142 b Comparison of volumes 635 142

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (3 of 3)10182006 31649 PM

KPBSD Curriculum Advanced Algebra

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 04

Math Curriculum Advanced Algebra

ADVANCED

ALGEBRA

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Solving Equations and Inequalities a Linear 143 141 141 141 141

b Quadratic

341346442444641

141 142 142 142

Solving Systems of Equations and Inequalities

a Linear 341 141 141 141 b Quadratic 442 142 142 142

c Linear programming 443444

143 143 143

Exponents and Logarithms

a Inverse relationships of two functions 142 141 141

b Properties of exponents 144

343344

142143

142143

Quadratics and their Properties

a Completing the square 442 141 141 141 b Factoring 142 142 142 c Modeling 143 143 142

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (1 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Polynomials a Factoring 445 141 141 b Synthetic division 142 142 c Long division 143 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions Trigonometry Rational and Radical a Inverses 244

343445

141142143

141142143

Coordinate Geometry Transformations

a Translations 244 141 141 b Rotations 545 142 142 c Dilations 547 143 143

Probability Statistics a Median ndash median line of best fit 345 141 141 141

b Regression lines

346641643644645646

142143

142143

142143

Recursion Sequence Series

a Arithmetic 343 141 b Geometric 344 142

Inverses a Geometric 441 b Notation 441

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Properties of Real and Complex Numbers a Adding 136 141 b Subtracting 141 143 c Multiplying 143 d Dividing 147 e Roots of polynomials

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (2 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Curve Fitting a Regression curves 641 141 141 141 141 642 142 142 142 142 643 143 143 143 644

Linear Function a Slope ndash intercept form 546 141 141 141 b Point ndash slope form 142 142 142 c Modeling 143 143

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (3 of 3)10182006 31652 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Analysis (Pre-Calculus)

Math Analysis

(Pre-Calculus)

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Transformation of Functions a Translations 543 142 141 141 141 b Stretches and shrinks 545 143 142 142 c Reflections 547

Function Families a Polynomial 144 141 141 141 141 b Rational 147 142 142 142 c Exponential and logarithmic 441

442445644142

143

Trigonometric Functions and Circular Properties

a Sine cosine tangent 242 141 141 141 141 b Law of sines 244 142 142 c Law of cosines 346 143 d Graphs 543 e Polar coordinates

Application of Trigonometric and Circular Functions a Solving triangles 243 141 141 141 141 b Graphing 244 142 142 142 c Inverses 641 143 143

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (1 of 2)10182006 31654 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

d Simple harmonic motion 643

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Vectors

a Magnitude 244 141 141 b Direction 243

641142143

142

Complex Numbers

a Graphing in the complex plane 345 141 141 b Pure imaginary numbers 142 142 c Operations 345

Mathematic Modeling a Statistics correlation coefficient 341 141 141 141 141 b Curve fittingfunction fitting 641 142 142 142 142 c Predictions 642

644441

143 143

Functions

a Composition 141 141 141 b Inverses 142 142 c Graphing 143 d One-to-one functions 142

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (2 of 2)10182006 31654 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Geometry

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Geometry

GEOMETRY

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Algebraic Skills Variables Expressions a Minimum and maximum properties 136 131 b Coordinate plane 147 c Scientific notation 343

d Solving equations 141

144344442

Lines - Slopes

a Parallel lines 546 131 131 132 b Perpendicular lines 441 133 132 c Coordinate geometry 444 141 143 142

Euclidian Line Theory a Transversals 541 141 141 141 b Vertical angles 546 142 142 142 c Linear pairs 143 143

Transformations a Reflections 545 141 141 142 b Translations 547 132 142 c Rotations 547 141 142 142

CONTENTPERFORMANCE

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (1 of 3)10182006 31649 PM

KPBSD Curriculum Geometry

ESSENTIAL CONTENTSKILLS A B C D E

Two DimensionalThree Dimensional Figures a Area 224 b Volume 144 c Surface area 344 141 142 142 d Models 341 142 133 e Perimeter 345 445 534 541

542

Similarity and Congruence a Triangle similarity theorems 346 141 131 b Dialations 513 142 133 c Scale factor 547

d Trigonometry theory 135241

Geometric Construction

a Euclidean 543 141 141 142 b Computer generated 547 143

Proof and Laws of Logic

a Elementary triangle logic 142 141 b Two column proofs 143 142 c Logical patterns of logic 142 143 d Conditionals 141 e Inverse 143 142 f Converse 142 143 g Contrapositive 141

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Inductive and Deductive Reasoning

a Algebraic pattern recognition 142 141 141 b Geometric pattern recognition 142 142 c Recognizing logical statements 143 143

Right Triangle Trigonometry

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (2 of 3)10182006 31649 PM

KPBSD Curriculum Geometry

a Tangent ratios 244 141 141 142 b Sine and cosine ratios 341 142 143 c Applications to real life 344 d Vectors 543

Circle Properties a Area 147 141 142 141 b Circumference 242 142 143 c Chords 341 d Tangents 344 e Inscribed and circumscribed angles 541

Geometric Probabilities a Comparison of areas 547 141 142 b Comparison of volumes 635 142

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (3 of 3)10182006 31649 PM

KPBSD Curriculum Advanced Algebra

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 04

Math Curriculum Advanced Algebra

ADVANCED

ALGEBRA

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Solving Equations and Inequalities a Linear 143 141 141 141 141

b Quadratic

341346442444641

141 142 142 142

Solving Systems of Equations and Inequalities

a Linear 341 141 141 141 b Quadratic 442 142 142 142

c Linear programming 443444

143 143 143

Exponents and Logarithms

a Inverse relationships of two functions 142 141 141

b Properties of exponents 144

343344

142143

142143

Quadratics and their Properties

a Completing the square 442 141 141 141 b Factoring 142 142 142 c Modeling 143 143 142

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (1 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Polynomials a Factoring 445 141 141 b Synthetic division 142 142 c Long division 143 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions Trigonometry Rational and Radical a Inverses 244

343445

141142143

141142143

Coordinate Geometry Transformations

a Translations 244 141 141 b Rotations 545 142 142 c Dilations 547 143 143

Probability Statistics a Median ndash median line of best fit 345 141 141 141

b Regression lines

346641643644645646

142143

142143

142143

Recursion Sequence Series

a Arithmetic 343 141 b Geometric 344 142

Inverses a Geometric 441 b Notation 441

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Properties of Real and Complex Numbers a Adding 136 141 b Subtracting 141 143 c Multiplying 143 d Dividing 147 e Roots of polynomials

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (2 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Curve Fitting a Regression curves 641 141 141 141 141 642 142 142 142 142 643 143 143 143 644

Linear Function a Slope ndash intercept form 546 141 141 141 b Point ndash slope form 142 142 142 c Modeling 143 143

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (3 of 3)10182006 31652 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Analysis (Pre-Calculus)

Math Analysis

(Pre-Calculus)

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Transformation of Functions a Translations 543 142 141 141 141 b Stretches and shrinks 545 143 142 142 c Reflections 547

Function Families a Polynomial 144 141 141 141 141 b Rational 147 142 142 142 c Exponential and logarithmic 441

442445644142

143

Trigonometric Functions and Circular Properties

a Sine cosine tangent 242 141 141 141 141 b Law of sines 244 142 142 c Law of cosines 346 143 d Graphs 543 e Polar coordinates

Application of Trigonometric and Circular Functions a Solving triangles 243 141 141 141 141 b Graphing 244 142 142 142 c Inverses 641 143 143

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (1 of 2)10182006 31654 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

d Simple harmonic motion 643

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Vectors

a Magnitude 244 141 141 b Direction 243

641142143

142

Complex Numbers

a Graphing in the complex plane 345 141 141 b Pure imaginary numbers 142 142 c Operations 345

Mathematic Modeling a Statistics correlation coefficient 341 141 141 141 141 b Curve fittingfunction fitting 641 142 142 142 142 c Predictions 642

644441

143 143

Functions

a Composition 141 141 141 b Inverses 142 142 c Graphing 143 d One-to-one functions 142

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (2 of 2)10182006 31654 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Geometry

ESSENTIAL CONTENTSKILLS A B C D E

Two DimensionalThree Dimensional Figures a Area 224 b Volume 144 c Surface area 344 141 142 142 d Models 341 142 133 e Perimeter 345 445 534 541

542

Similarity and Congruence a Triangle similarity theorems 346 141 131 b Dialations 513 142 133 c Scale factor 547

d Trigonometry theory 135241

Geometric Construction

a Euclidean 543 141 141 142 b Computer generated 547 143

Proof and Laws of Logic

a Elementary triangle logic 142 141 b Two column proofs 143 142 c Logical patterns of logic 142 143 d Conditionals 141 e Inverse 143 142 f Converse 142 143 g Contrapositive 141

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Inductive and Deductive Reasoning

a Algebraic pattern recognition 142 141 141 b Geometric pattern recognition 142 142 c Recognizing logical statements 143 143

Right Triangle Trigonometry

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (2 of 3)10182006 31649 PM

KPBSD Curriculum Geometry

a Tangent ratios 244 141 141 142 b Sine and cosine ratios 341 142 143 c Applications to real life 344 d Vectors 543

Circle Properties a Area 147 141 142 141 b Circumference 242 142 143 c Chords 341 d Tangents 344 e Inscribed and circumscribed angles 541

Geometric Probabilities a Comparison of areas 547 141 142 b Comparison of volumes 635 142

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (3 of 3)10182006 31649 PM

KPBSD Curriculum Advanced Algebra

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 04

Math Curriculum Advanced Algebra

ADVANCED

ALGEBRA

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Solving Equations and Inequalities a Linear 143 141 141 141 141

b Quadratic

341346442444641

141 142 142 142

Solving Systems of Equations and Inequalities

a Linear 341 141 141 141 b Quadratic 442 142 142 142

c Linear programming 443444

143 143 143

Exponents and Logarithms

a Inverse relationships of two functions 142 141 141

b Properties of exponents 144

343344

142143

142143

Quadratics and their Properties

a Completing the square 442 141 141 141 b Factoring 142 142 142 c Modeling 143 143 142

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (1 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Polynomials a Factoring 445 141 141 b Synthetic division 142 142 c Long division 143 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions Trigonometry Rational and Radical a Inverses 244

343445

141142143

141142143

Coordinate Geometry Transformations

a Translations 244 141 141 b Rotations 545 142 142 c Dilations 547 143 143

Probability Statistics a Median ndash median line of best fit 345 141 141 141

b Regression lines

346641643644645646

142143

142143

142143

Recursion Sequence Series

a Arithmetic 343 141 b Geometric 344 142

Inverses a Geometric 441 b Notation 441

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Properties of Real and Complex Numbers a Adding 136 141 b Subtracting 141 143 c Multiplying 143 d Dividing 147 e Roots of polynomials

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (2 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Curve Fitting a Regression curves 641 141 141 141 141 642 142 142 142 142 643 143 143 143 644

Linear Function a Slope ndash intercept form 546 141 141 141 b Point ndash slope form 142 142 142 c Modeling 143 143

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (3 of 3)10182006 31652 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Analysis (Pre-Calculus)

Math Analysis

(Pre-Calculus)

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Transformation of Functions a Translations 543 142 141 141 141 b Stretches and shrinks 545 143 142 142 c Reflections 547

Function Families a Polynomial 144 141 141 141 141 b Rational 147 142 142 142 c Exponential and logarithmic 441

442445644142

143

Trigonometric Functions and Circular Properties

a Sine cosine tangent 242 141 141 141 141 b Law of sines 244 142 142 c Law of cosines 346 143 d Graphs 543 e Polar coordinates

Application of Trigonometric and Circular Functions a Solving triangles 243 141 141 141 141 b Graphing 244 142 142 142 c Inverses 641 143 143

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (1 of 2)10182006 31654 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

d Simple harmonic motion 643

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Vectors

a Magnitude 244 141 141 b Direction 243

641142143

142

Complex Numbers

a Graphing in the complex plane 345 141 141 b Pure imaginary numbers 142 142 c Operations 345

Mathematic Modeling a Statistics correlation coefficient 341 141 141 141 141 b Curve fittingfunction fitting 641 142 142 142 142 c Predictions 642

644441

143 143

Functions

a Composition 141 141 141 b Inverses 142 142 c Graphing 143 d One-to-one functions 142

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (2 of 2)10182006 31654 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Geometry

a Tangent ratios 244 141 141 142 b Sine and cosine ratios 341 142 143 c Applications to real life 344 d Vectors 543

Circle Properties a Area 147 141 142 141 b Circumference 242 142 143 c Chords 341 d Tangents 344 e Inscribed and circumscribed angles 541

Geometric Probabilities a Comparison of areas 547 141 142 b Comparison of volumes 635 142

fileC|Documents20and20Settingse02472Desktopmathgeometryhtm (3 of 3)10182006 31649 PM

KPBSD Curriculum Advanced Algebra

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 04

Math Curriculum Advanced Algebra

ADVANCED

ALGEBRA

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Solving Equations and Inequalities a Linear 143 141 141 141 141

b Quadratic

341346442444641

141 142 142 142

Solving Systems of Equations and Inequalities

a Linear 341 141 141 141 b Quadratic 442 142 142 142

c Linear programming 443444

143 143 143

Exponents and Logarithms

a Inverse relationships of two functions 142 141 141

b Properties of exponents 144

343344

142143

142143

Quadratics and their Properties

a Completing the square 442 141 141 141 b Factoring 142 142 142 c Modeling 143 143 142

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (1 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Polynomials a Factoring 445 141 141 b Synthetic division 142 142 c Long division 143 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions Trigonometry Rational and Radical a Inverses 244

343445

141142143

141142143

Coordinate Geometry Transformations

a Translations 244 141 141 b Rotations 545 142 142 c Dilations 547 143 143

Probability Statistics a Median ndash median line of best fit 345 141 141 141

b Regression lines

346641643644645646

142143

142143

142143

Recursion Sequence Series

a Arithmetic 343 141 b Geometric 344 142

Inverses a Geometric 441 b Notation 441

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Properties of Real and Complex Numbers a Adding 136 141 b Subtracting 141 143 c Multiplying 143 d Dividing 147 e Roots of polynomials

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (2 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Curve Fitting a Regression curves 641 141 141 141 141 642 142 142 142 142 643 143 143 143 644

Linear Function a Slope ndash intercept form 546 141 141 141 b Point ndash slope form 142 142 142 c Modeling 143 143

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (3 of 3)10182006 31652 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Analysis (Pre-Calculus)

Math Analysis

(Pre-Calculus)

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Transformation of Functions a Translations 543 142 141 141 141 b Stretches and shrinks 545 143 142 142 c Reflections 547

Function Families a Polynomial 144 141 141 141 141 b Rational 147 142 142 142 c Exponential and logarithmic 441

442445644142

143

Trigonometric Functions and Circular Properties

a Sine cosine tangent 242 141 141 141 141 b Law of sines 244 142 142 c Law of cosines 346 143 d Graphs 543 e Polar coordinates

Application of Trigonometric and Circular Functions a Solving triangles 243 141 141 141 141 b Graphing 244 142 142 142 c Inverses 641 143 143

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (1 of 2)10182006 31654 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

d Simple harmonic motion 643

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Vectors

a Magnitude 244 141 141 b Direction 243

641142143

142

Complex Numbers

a Graphing in the complex plane 345 141 141 b Pure imaginary numbers 142 142 c Operations 345

Mathematic Modeling a Statistics correlation coefficient 341 141 141 141 141 b Curve fittingfunction fitting 641 142 142 142 142 c Predictions 642

644441

143 143

Functions

a Composition 141 141 141 b Inverses 142 142 c Graphing 143 d One-to-one functions 142

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (2 of 2)10182006 31654 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Advanced Algebra

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 04

Math Curriculum Advanced Algebra

ADVANCED

ALGEBRA

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Solving Equations and Inequalities a Linear 143 141 141 141 141

b Quadratic

341346442444641

141 142 142 142

Solving Systems of Equations and Inequalities

a Linear 341 141 141 141 b Quadratic 442 142 142 142

c Linear programming 443444

143 143 143

Exponents and Logarithms

a Inverse relationships of two functions 142 141 141

b Properties of exponents 144

343344

142143

142143

Quadratics and their Properties

a Completing the square 442 141 141 141 b Factoring 142 142 142 c Modeling 143 143 142

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (1 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Polynomials a Factoring 445 141 141 b Synthetic division 142 142 c Long division 143 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions Trigonometry Rational and Radical a Inverses 244

343445

141142143

141142143

Coordinate Geometry Transformations

a Translations 244 141 141 b Rotations 545 142 142 c Dilations 547 143 143

Probability Statistics a Median ndash median line of best fit 345 141 141 141

b Regression lines

346641643644645646

142143

142143

142143

Recursion Sequence Series

a Arithmetic 343 141 b Geometric 344 142

Inverses a Geometric 441 b Notation 441

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Properties of Real and Complex Numbers a Adding 136 141 b Subtracting 141 143 c Multiplying 143 d Dividing 147 e Roots of polynomials

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (2 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Curve Fitting a Regression curves 641 141 141 141 141 642 142 142 142 142 643 143 143 143 644

Linear Function a Slope ndash intercept form 546 141 141 141 b Point ndash slope form 142 142 142 c Modeling 143 143

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (3 of 3)10182006 31652 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Analysis (Pre-Calculus)

Math Analysis

(Pre-Calculus)

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Transformation of Functions a Translations 543 142 141 141 141 b Stretches and shrinks 545 143 142 142 c Reflections 547

Function Families a Polynomial 144 141 141 141 141 b Rational 147 142 142 142 c Exponential and logarithmic 441

442445644142

143

Trigonometric Functions and Circular Properties

a Sine cosine tangent 242 141 141 141 141 b Law of sines 244 142 142 c Law of cosines 346 143 d Graphs 543 e Polar coordinates

Application of Trigonometric and Circular Functions a Solving triangles 243 141 141 141 141 b Graphing 244 142 142 142 c Inverses 641 143 143

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (1 of 2)10182006 31654 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

d Simple harmonic motion 643

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Vectors

a Magnitude 244 141 141 b Direction 243

641142143

142

Complex Numbers

a Graphing in the complex plane 345 141 141 b Pure imaginary numbers 142 142 c Operations 345

Mathematic Modeling a Statistics correlation coefficient 341 141 141 141 141 b Curve fittingfunction fitting 641 142 142 142 142 c Predictions 642

644441

143 143

Functions

a Composition 141 141 141 b Inverses 142 142 c Graphing 143 d One-to-one functions 142

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (2 of 2)10182006 31654 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Advanced Algebra

Polynomials a Factoring 445 141 141 b Synthetic division 142 142 c Long division 143 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Functions Trigonometry Rational and Radical a Inverses 244

343445

141142143

141142143

Coordinate Geometry Transformations

a Translations 244 141 141 b Rotations 545 142 142 c Dilations 547 143 143

Probability Statistics a Median ndash median line of best fit 345 141 141 141

b Regression lines

346641643644645646

142143

142143

142143

Recursion Sequence Series

a Arithmetic 343 141 b Geometric 344 142

Inverses a Geometric 441 b Notation 441

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Properties of Real and Complex Numbers a Adding 136 141 b Subtracting 141 143 c Multiplying 143 d Dividing 147 e Roots of polynomials

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (2 of 3)10182006 31652 PM

KPBSD Curriculum Advanced Algebra

Curve Fitting a Regression curves 641 141 141 141 141 642 142 142 142 142 643 143 143 143 644

Linear Function a Slope ndash intercept form 546 141 141 141 b Point ndash slope form 142 142 142 c Modeling 143 143

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (3 of 3)10182006 31652 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Analysis (Pre-Calculus)

Math Analysis

(Pre-Calculus)

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Transformation of Functions a Translations 543 142 141 141 141 b Stretches and shrinks 545 143 142 142 c Reflections 547

Function Families a Polynomial 144 141 141 141 141 b Rational 147 142 142 142 c Exponential and logarithmic 441

442445644142

143

Trigonometric Functions and Circular Properties

a Sine cosine tangent 242 141 141 141 141 b Law of sines 244 142 142 c Law of cosines 346 143 d Graphs 543 e Polar coordinates

Application of Trigonometric and Circular Functions a Solving triangles 243 141 141 141 141 b Graphing 244 142 142 142 c Inverses 641 143 143

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (1 of 2)10182006 31654 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

d Simple harmonic motion 643

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Vectors

a Magnitude 244 141 141 b Direction 243

641142143

142

Complex Numbers

a Graphing in the complex plane 345 141 141 b Pure imaginary numbers 142 142 c Operations 345

Mathematic Modeling a Statistics correlation coefficient 341 141 141 141 141 b Curve fittingfunction fitting 641 142 142 142 142 c Predictions 642

644441

143 143

Functions

a Composition 141 141 141 b Inverses 142 142 c Graphing 143 d One-to-one functions 142

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (2 of 2)10182006 31654 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Advanced Algebra

Curve Fitting a Regression curves 641 141 141 141 141 642 142 142 142 142 643 143 143 143 644

Linear Function a Slope ndash intercept form 546 141 141 141 b Point ndash slope form 142 142 142 c Modeling 143 143

fileC|Documents20and20Settingse02472Desktopmathadv_algebrahtm (3 of 3)10182006 31652 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Analysis (Pre-Calculus)

Math Analysis

(Pre-Calculus)

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Transformation of Functions a Translations 543 142 141 141 141 b Stretches and shrinks 545 143 142 142 c Reflections 547

Function Families a Polynomial 144 141 141 141 141 b Rational 147 142 142 142 c Exponential and logarithmic 441

442445644142

143

Trigonometric Functions and Circular Properties

a Sine cosine tangent 242 141 141 141 141 b Law of sines 244 142 142 c Law of cosines 346 143 d Graphs 543 e Polar coordinates

Application of Trigonometric and Circular Functions a Solving triangles 243 141 141 141 141 b Graphing 244 142 142 142 c Inverses 641 143 143

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (1 of 2)10182006 31654 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

d Simple harmonic motion 643

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Vectors

a Magnitude 244 141 141 b Direction 243

641142143

142

Complex Numbers

a Graphing in the complex plane 345 141 141 b Pure imaginary numbers 142 142 c Operations 345

Mathematic Modeling a Statistics correlation coefficient 341 141 141 141 141 b Curve fittingfunction fitting 641 142 142 142 142 c Predictions 642

644441

143 143

Functions

a Composition 141 141 141 b Inverses 142 142 c Graphing 143 d One-to-one functions 142

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (2 of 2)10182006 31654 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Analysis (Pre-Calculus)

Math Analysis

(Pre-Calculus)

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Transformation of Functions a Translations 543 142 141 141 141 b Stretches and shrinks 545 143 142 142 c Reflections 547

Function Families a Polynomial 144 141 141 141 141 b Rational 147 142 142 142 c Exponential and logarithmic 441

442445644142

143

Trigonometric Functions and Circular Properties

a Sine cosine tangent 242 141 141 141 141 b Law of sines 244 142 142 c Law of cosines 346 143 d Graphs 543 e Polar coordinates

Application of Trigonometric and Circular Functions a Solving triangles 243 141 141 141 141 b Graphing 244 142 142 142 c Inverses 641 143 143

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (1 of 2)10182006 31654 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

d Simple harmonic motion 643

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Vectors

a Magnitude 244 141 141 b Direction 243

641142143

142

Complex Numbers

a Graphing in the complex plane 345 141 141 b Pure imaginary numbers 142 142 c Operations 345

Mathematic Modeling a Statistics correlation coefficient 341 141 141 141 141 b Curve fittingfunction fitting 641 142 142 142 142 c Predictions 642

644441

143 143

Functions

a Composition 141 141 141 b Inverses 142 142 c Graphing 143 d One-to-one functions 142

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (2 of 2)10182006 31654 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Math Analysis (Pre-Calculus)

d Simple harmonic motion 643

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Vectors

a Magnitude 244 141 141 b Direction 243

641142143

142

Complex Numbers

a Graphing in the complex plane 345 141 141 b Pure imaginary numbers 142 142 c Operations 345

Mathematic Modeling a Statistics correlation coefficient 341 141 141 141 141 b Curve fittingfunction fitting 641 142 142 142 142 c Predictions 642

644441

143 143

Functions

a Composition 141 141 141 b Inverses 142 142 c Graphing 143 d One-to-one functions 142

fileC|Documents20and20Settingse02472Desktopmathmath_analysis20htm (2 of 2)10182006 31654 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Calculus

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Calculus

Calculus

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Limits a Evaluating limits algebraically and graphically 147

241341

141 141 141 141

b Limit properties 343

344441445

143 142 142143

142

Continuous Functions

a Differentiability 141

147441443

141 141 142 141142

Derivatives

a Definition of derivative 143

241242244

141142

141142

142 141142

b Derivatives of polynomials trig function and exponential functions

341344346442444445541546

143 143

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (1 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Calculus

Rules of Differentiation a Chain rule 343 142 141 b Product rule 344 142 c Quotient rule 445 143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Application of Differentiation

a Maximumminimum problems 241

242243

141 141 142 141

b Displacement velocity acceleration 343

344346

142 142 142

c Related rates 442

445543546

143

Integration

a Riemann sums 143

241242

141 141 141 141

b Anti-derivatives 344 142 142 142 142

c Trapezoid rule 442443

143 143

Fundamental Theorem of Calculus

a Derivatives and integrals as inverses 142 141

142142

Applications of Integration

a Volume area displacement velocity acceleration 143

241242

141 141 142 141

b Work 341

344443

142 142 142

c Power 444542

143

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Logarithmic and Exponential Functions a Derivatives and integrals 141 141 141 141 141

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (2 of 3)10182006 31657 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Calculus

144 b Population 343

344142 142 142

c Time value of money 345441

143 143

d Predatorprey problems 642

Inverse Trig Functions a Definition 143

243141 141 141 141

b Derivatives 244

345346

142 142 142 142

c Related rates 441

541543

143 143

d Solving equations 641642

Infinite Series and Sequences

a Taylor series expansions 343 141 141 142 141 b Recursive forms 344 142 142 143 143 c Maclaurin series 444

Plane Curves a Length 542 141 141 b Area and volume of surfaces of revolution 142 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Parametric Equations

a Derivatives 344

345346

141 142 141

b Projectile applications 441

442443

142 141 143 143

c Elimination of parameters 445541

143

Polar Coordinates

a Integrals to find area and arc length 345

441541

141142143

141 142143

141142

fileC|Documents20and20Settingse02472Desktopmathcalculushtm (3 of 3)10182006 31657 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Personal Finance

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Personal Finance

Personal Finance

GradeHigh School

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Personal Financing a Reconciling checking accounts 131

134135

132 131 131 141

b Interpreting bank statements 332333334

141 132 142

c Preparing a budget 336341345

143 133

d Pros and cons of charge accounts 432435

e Methods of finance charges 632

Income a Types of salary payments 131

134135

141 131 131 141

b Wages and benefits 332333334335336341432435

142143

132133

142

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (1 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Personal Finance

Taxes a Types of taxes federal state income and sales 131

134135332333334

141 131 131 141

b Filing federal and state income tax 335336341432435

142143

132133

142

Loans

a Investigating types of loans 131

134135

141 131 131 141

b Determining annual percentage rates 332333341

142 132 142

c Calculating types of penalties 344345346432435

143 133

Investments

a Types of investments stocks CDrsquos and bonds 131

134135

141 131 131 141

b Determining the amount of dividend 332333341

142 132 142

c How the stock market works 344 143 133 d Types of savings accounts 345 e Calculating compound and simple interest 346 f Determining unit price of items and price comparison issues 432

435

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Home Ownership Issues a Determining a mortgage payment 131

134135

132 131 131 141

b Types of closing costs and who pays them 241242243244

141 132 142

c Homeownerrsquos insurance 332333

143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (2 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Personal Finance

334335336341432435533534547

Insurance

a Determining type of coverage health and life 131

134135332333334

132 131 131 141

b Determining your insurance premium 335336341432435

141143

132 142

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

Travel a Purchasing an automobile 131

134135143

133 131 141

b Costs of maintaining an automobile 235332333334335

141 142

c Automobile insurance policies 336341435

Accounting

a Basic bookkeeping systems 131

134135332333334

132 131 131 141

b Depreciation 335336341432435

141143

132133

142

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (3 of 4)10182006 31700 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Personal Finance

CONTENTPERFORMANCEESSENTIAL CONTENTSKILLS A B C D E

Purchasing

a Discounting trade and chain 131

134135332333334341345346432435

141142143

131132133

131 141142

Production

a Break-even analysis 131

134135332333334

141 131 131 141

b Costs of production maintenance utilities 341345346432435

142 132 142

c Time studies 533534537632

143 133

CONTENTPERFORMANCE

ESSENTIAL CONTENTSKILLS A B C D E

MarketingSales--Distribution a Determining markup and net profit 131

134135

141 131 131 141

b Projecting sales 332333334341345346

142 132 132 142

c Surveying potential customers 432435632634636

143 143

fileC|Documents20and20Settingse02472Desktopmathpersonal_financehtm (4 of 4)10182006 31700 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Curriculum Assessments Grades 9-12

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669Math Curriculum Table of Contents

Updated February 2004

Math Curriculum Assessments Grades 9-12

Guided practice

Oral Conferencing

Portfolios

Problems of the dayweek

Projects

Quizzes

Rubrics

Tests

fileC|Documents20and20Settingse02472Desktopmathassessments9-12htm10182006 31700 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Math Curriculum Adopted Textbooks

Kenai Peninsula Borough School District 148 N Binkley

Soldotna AK 99669

Curriculum GuidesMath Curriculum Table of Contents

Updated February 04

Math Curriculum Adopted Textbooks

GRADES TEXTS

K-2

MATHLAND ndash Creative Publishing

3-5

MATH ndash Addison Wesley 1998

6

MATH COURSE 1 ndash Addison Wesley 1998

7

MATH COURSE 2 ndash Addison Wesley 1998

8

MATH COURSE 3 ndash Addison Wesley 1998

8

ALGEBRA ndash Prentice Hall 1998

Pre Algebra

FOUNDATIONS OF ALGEBRA AND GEOMETRY ndash Addison Wesley 1998

Algebra A

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra B

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Algebra 1

FOCUS ON ALGEBRA ndash Addison Wesley 1998

Geometry

FOCUS ON GEOMETRY ndash Addison Wesley 1998

Advanced Algebra

FOCUS ON ADVANCED ALGEBRA ndash Addison Wesley 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (1 of 2)10182006 31757 PM

KPBSD Math Curriculum Adopted Textbooks

Math Analysis

SCHOOL BASED DECISION

Calculus

SCHOOL BASED DECISION

Personal Finance

MATH WITH BUSINESS APPLICATIONS ndash Glencoe 1998

fileC|Documents20and20Settingse02472DesktopmathAdopted_textbookshtm (2 of 2)10182006 31757 PM

• Local Disk
• • KPBSD Math Curriculum
  • KPBSD Curriculum Elementary Inroduction
  • KPBSD Curriculum Kindergarten Math
  • KPBSD Curriculum Grade 1 Math
  • KPBSD Curriculum Grade 2 Math
  • KPBSD Curriculum Math Grade 3
  • KPBSD Curriculum Grade 4 Math
  • KPBSD Curriculum Grade 5 Math
  • KPBSD Curriculum Math Assessments K-5
  • KPBSD Curriculum Middle School Math Introduction
  • KPBSD Curriculum Grade 6 Math
  • KPBSD Curriculum Grade 7 Math
  • KPBSD Curriculum Grade 8 Math
  • KPBSD Curriculum Math Assessments Grades 6-8
  • KPBSD Curriculum High School Math Introduction
  • KPBSD Math Curriculum Pre-Algebra
  • KPBSD Curriculum Algebra A
  • KPBSD Curriculum Algebra B
  • KPBSD Curriculum Algebra 1
  • KPBSD Curriculum Geometry
  • KPBSD Curriculum Advanced Algebra
  • KPBSD Curriculum Math Analysis (Pre-Calculus)
  • KPBSD Curriculum Calculus
  • KPBSD Curriculum Personal Finance
  • KPBSD Curriculum Assessments Grades 9-12
  • KPBSD Math Curriculum Adopted Textbooks