RPT MT THN4

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YEARLY PLAN MATHEMATICS YEAR 4 2009

WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES

Pupils will be tought to :

LEARNING OUTCOMES

Pupils will be able to :

SUGGESTED TEACHING

AND LEARNING

ACTIVITIES

1 1. WHOLE

NUMBERS

1. NUMBERS TO

100 000

1. Develop number sense up to

100 000

i. Name and write numbers up to 100 000

ii. Determine the place value of the digits

in any whole number up to 100 000iii. Compare value of numbers to 100 000

iv. Round of numbers to the nearest ten,

hundred and thousand.

Compare numbers and

explain why a particular

number has a bigger orsmaller value

Use relevant techniques of

estimation.

2

1. WHOLE

NUMBERS

2. ADDITION WITH

THE HIGHEST

TOTAL OF 100 000

1. Add numbers to the total

of 100 000

i. Add any two to four numbers to 100 000

ii. Solve addition problems.

Add any two to four numbers

using; - horizontal form

- vertical form

Expose pupils to strategies of

quick addition.

Subtract a number or two

numbers from another number

(horizontal or vertical )

Create stories from givensentences

1. WHOLE

NUMBERS

3. SUBTRACTION

WITHIN THE

RANGE OF 100 000

1. Subtract numbers from a

number less than 100 000

i. Subtract one or two numbers from a

bigger number less than 100 000

ii. Solve subtraction problems

1. WHOLE

NUMBERS

4.MULTIPLICATIO

NWITH THE

HIGHESTPRODUCT OF

100 000

1. Multiply any two numbers

with the highest product of100 000

i. Multiply four-digit numbers with

a) one-digit numbers,b) 10,

c) two-digit numbers.ii. Multiply three-digit numbers with

a) 100,b) two-digit numbers,

iii. Multiply two-digit number with 1000

iv. Solve multiplication problems.

Multiply in the form of

number sentences -vertical

and horizontal

Expose pupils to variousstrategies in

multiplication,such as, -multiplies of a number

- benchmaking

- commutative property

- associative property- lattice multiplication

Create stories from a given

number sentences.

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LEARNING OUTCOMES


SUGGESTED TEACHINGAND LEARNING

ACTIVITIES

3 1. WHOLENUMBERS

5. DIVISION WITHTHE HIGHEST

DIVIDEND OF

100 000

1. Divide a number less than100 000 by a two-digit

number

i. Divide five-digit numbers by

a) one-digit numbers,b) 10, 100 and 1000,

c) two-digit numbers.

ii. Divide four-digit numbers by

a) one-digit numbers,

b) 10, 100 and 1000,

c) two-digit numbers.iii. Solve division problems.

Model division using the

number line and divide usingthe long division method.

Expose pupils to various

strategies in division such as;

- divisibility of a number,

- divide by 10, 100 and 1000


number sentences.

1. WHOLE

NUMBERS

6. MIXED

OPERATION

1. Perform mixed operation

involving addition andsubtraction.

i. Perform mixed operations involving

addition and subtraction with numbers

less thana) 100,

b) 1000,

c) 10 000.

ii. Solve mixed operation problems.

Perform mixed operation in

the form of number sentences

(vertical and horizontal)


number sentences.

4 2. FRACTION 1. PROPER FRACTION

1. Name and write properfractions with denominators

up to 10

i. Name and write proper fractions with

denominators up to 10.ii. Compare the value of two proper

fractions with

a) The same denominators,

b) The numerator of 1 and differentDenominators up to 10.

Compare parts to the whole to

introduce proper fractions.- Paper(Partition paper equally

by folding)

- Fraction chart/strips and

cuisenaire rods

2. FRACTION 2. EQUIVALENT

FRACTIONS

1. Express equivalent

fractions for proper

fractions.

i. Express and write equivalent fractions for

proper fractions.

ii. Express equivalent fractions to its

simplest form.

iii. Recognise fractions as equal shares of a

whole set with denominator up to 10.

Express equivalent fractions

with the aid of fraction

chart/strips,strings,number

lines and graphics using

conventional technology or

ICT.

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LEARNING OUTCOMES


SUGGESTED TEACHING

AND LEARNING

ACTIVITIES

5

6

2. FRACTION 3. ADDITION OF

PROPER

FRACTIONS

1. Add two proper fractions

with denominators up to 10

i. Add two proper fractions with the same

denominator up to 10 to its simplest form

a) With 1 as the numerator for both

fractions,

b) With different numerators.

ii. Add two proper fractions with different

denominators up to 10 to its simplest form

a) With 1 as the numerator for bothfractions,


iii. Solve problems involving addition of

proper fractions.

Demonstrate subtraction of

proper fractions through paper

folding activities or use charts,

diagrams and number lines.

Pupils create stories fromgiven number sentences

involving fractions.

2. FRACTION 4. SUBTRACTION OFPROPER

FRACTIONS

1. Subtract proper fractionswith denominators up to 10

i. Subtract two proper fractions with the

same denominator up to 10 to itssimplest form

c) With 1 as the numerator for both

fractions,

d) With different numerators.

ii. Subtract two proper fractions with

different denominators up to 10 to itssimplest form

a) With 1 as the numerator for both

fractions,


iii. Solve problems involving addition ofproper fractions.

Demonstrate subtraction of

proper fractions through paperfolding activities or use charts,

diagrams and number lines.

Pupils create stories fromgiven number sentences

involving fractions.

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LEARNING OUTCOMES



ACTIVITIES

7 3. DECIMALS 1. INTRODUCTIONTO DECIMAL

NUMBER

1. Understand and use thevocabulary related to

decimals

i. Name and write decimals with

a) one decimal placeb) two decimal place

ii. Recognise the place value of

a) tenths,

b) hundredths,

c) tenths and hundredths.

iii. Convert fraction to decimals of

a) tenths,

b) hundredths,

c) tenths and hundredths,and vise versa

Introduces the concept of

decimals using dienesbloks,hundred squares, place

value chart and number line.

Write types of decimals:

a) decimal fraction

b) mixed decimals

8

9

3. DECIMALS 2. ADDITION OF

DECIMALNUMBER

1. Add decimals up to two

decimal place.

i. Add any two to four decimals of one

decimal place involving

a) decimals only,b) who;e number and decimals,

c) mixed decimals.ii. Add any two to four decimals of two

decimal place involving

a) decimals only,

b) who;e number and decimals,

c) mixed decimals.

ii. Solve problems involving addition ofdecimal number

Compare decimals using

dienes bloks,hundred squares

and number lines.

Perform addition of decimalsthrough number sentences and

use number lines to model

addition of any two to four

decimals using number lines.

Pupil create stories from givennumber sentences.

3. DECIMALS 3. SUBTRACTION OF

DECIMALNUMBER

1. Subtract decimals up to two

decimal place.

i. Subtract one to two decimals from adecimal of one decimal place involving

a) decimals only,b) mixed decimals,

c) whole numbers and decimals (mixeddecimals)

ii. Subtract one to two decimals of one or

two decimal place

iii. Solve problems involving subtraction of

decimals

Pupil model subtraction ofdecimals using number lines

and subtract decimal numbersthrough number sentences in

the vertical form.

Pupil create stories from given

number sentences.

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LEARNING OUTCOMES



ACTIVITIES

10 3. DECIMALS 4. MULTIPLICATION

OF DECIMAL

NUMBER

1. Multiply decimals up to two

decimal places with a whole

number

i. Multiply any decimal of one decimal place

with

a) a one-digit numberb) 10, 100 and 1000

ii. Multiply any decimal of two decimal place

witha) a one-digit number

b) 10, 100 and 1000

iii. Solve problems involving multiplication ofdecimals

Pupil model multiplication of

decimals using number lines

and multiply decimal numbersusing number sentences in the

vertical form.


number sentences.

12 3. DECIMALS 5. DIVISION OF

DECIMAL

NUMBER

1. Divide decimals up to two

decimal places by a whole

number.

i. Divide decimals of one decimal place by

a) a one-digit whole number,

b) 10.ii. Divide decimals of two decimal place by

one-digit whole number.

iii. Divide decimals by a whole number with

the dividend value of up to two decimal

place.

iv. Solve problems involving division of

decimals

Pupil model division of

decimals using number lines

and divide decimal numbersby the long division method.


number sentences.

13 4. MONEY 5. MONEY TO

RM 10 000

1. Understand and use the

vocabulary related to

money

i. Read and write the value of money up to

RM 10 000.

Show different combination of

notes and coin.

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4. MONEY5. MONEY TO

RM 10 000 2. Use and apply knowledge of

money in real life.

i. Add money up to RM 10 000ii. Subtract money from up to RM 10 000

iii. Multiply money to the highest product ofRM 10 000

iv. Divide money with dividend not more than

RM 10 000

Perform basic operationsinvolving money by writing

number sentences in thevertical and horizontal form.




LEARNING OUTCOMES


SUGGESTED TEACHING

AND LEARNING

ACTIVITIES

14 4. MONEY 5. MONEY TO

RM 10 000

2. Use and apply knowledge of

money in real life.

v. Perform mixed operation involving

addition and subtraction involving money

up to RM 10 000vi. Round of money to the nearest ringgit.

vii.Solve problems involving money of up to

RM 10 000

-Perform mixed operations

involving money by writing

number sentences in the

verticaland horizontal .

- Pupil create stories from

given number sentences.

15 5. TIME 1. READING AND

WRITING TIME

1. Understand, read and write

time in hours and minutes.

i. Read time in hours and minutes according

to the 12-hour system.

ii. Write time in hours and minutes accordingto the 12-hours system.

Teacher introduce how to read

and write in hours and minutes

using analog clock and digitalclock.

5. TIME 2. TIME SCHEDULE 1. Construct a simple schedule. i. Construct, read and extract information

from a simple schedule.

Pupil gather information to

construct a simple schedule.

5. TIME 2. TIME SCHEDULE 2. Read a calendar

i. Extract information from a calendar

ii. Solve simple real life problems involving

reading the calendar.

Arrange in sequence, the

months of a year.

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16 5. TIME 3. RELATIONSHIP

BETWEEN UNITSOF TIME

3. Understand the

relationship between unitsof time

i. State the relationship between units of

time:-a) 1 day = 24 hours,

b) 1 year= 365/366 days,

c) 1 decade= 10 years.

ii. Convert:-

a) years to days, and vice versab) decade to years, and vice versac) Years to months, and vice versa

d) Hours to days, and vice versa.

iii. Convert time from:-

a) hours to minutes, and vice versa

b) hours and minutes to minutes,and vice

versa,

c) minutes to hours and minutes, and vice

versa

Pupils explore the calendar to

look for time relationshipsbetween years and days.

Pupils convert units of time.

Pupils convert time;

a) hours to minutes

b) hours and minutes to

minutes

c) minutes to hours and

minutes




LEARNING OUTCOMES


SUGGESTED TEACHING

AND LEARNING

ACTIVITIES

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5. TIME 4. BASIC

OPERATIONS

INVOLVING TIME

1. Add, subtract, multiply and

divide units of time.

i. Add time involving conversion of units

with answers in compound units of:-

a) hours and minutes,

b) years and months,

c) decades and years.

ii. Subtract time involving conversion ofunits with answers in compound units of:-

a) hours and minutes,b) years and months,


iii. Multiply time involving conversion of

units with answers in compound units of:-


b) years and months,c) decades and years.

iv. Divide time involving conversion of

units with answers in compound units of:-

Pupils add, subtract, multiply

and divide time and convert

units of time. Units of time

involve

a) minutes,

b) hours,c) months,

d) years,e) decades.

Pupils perform basic

operations involving time

using number sentences in the

vertical form.

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a) hours and minutes,b) years and months,

c) decades and years.v. Solve problems involving basic operations

of time :-


b) years and months,


Pupils create stories about

time from given numbersentences.

19 5. TIME 5. TIME DURATION 1. Use and apply knowledge of

time to find the duration

i. Read and state the start and the end of

an event from a schedule,

ii. Calculate the duration of an event from

a schedule in

a) minutes,b) hours,

c) hours and minutes within a day and twoconsecutive live days.

Pupils extract information

from schedule, sucs as ;

a) class time-table,

b) prayer schedule,

c) bus schedule, etc.




LEARNING OUTCOMES



ACTIVITIES

5. TIME 5. TIME DURATION 1. Use and apply knowledge of time to find the duration

iii. Calculate the start or the end of anevent from a given duration of time and

read the start or end of an event.

Pupils model time on anumber line to determine the

duration of an event.

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6. LENGTH 1. MEASURING

LENGTH

1. Measure lengths using

standard units.

i. Read measurement of length using unitsof milimetre.

ii. Write measurement of length to thenearest scales of lenth division for :-

a) centimetre,

b) metre.

iii. Measure and record lengths of object

using units of:-a) milimetre,b) centimeter and milimetre,

c) metre and centimeter.

iv. Estimate the lengths of objects in :-

a) milimetre,

b) metre and milimetre,

c) centimeter and milimetre.

Pupils measure, read andrecord lengths of objects. The

following tools are used tomeasure lengths;

a) metre rule,

b) small ruler,

c) measuring tape.

6. LENGTH 2. RELATIONSHIPS

BETWEEN UNITS

OF LENGTH

1. Understand the relationship

between units of length.

i. State the relationship between

centimeter and melimetre.

ii. Convert units of length from;

a) milimetres to centimeters and vice

versa,

b) compound units to a unit.iii. Solve problems involving conversion of

units of length.

Pupils convert units of length.

Pupils construct problems

from a given number sentenceinvolving measyrement of

length.




LEARNING OUTCOMES


SUGGESTED TEACHING

AND LEARNING

ACTIVITIES

23 6. LENGTH 3. BASIC

OPERATIONS

INVOLVING

LENGTH

1. Add and subtract length. i. Add units of length, involving conversion

of units in;

a) milimetre,

b) metre and centimetre,

c) centimeter and milimetre.

ii. Subtract units of length, involving

Pupils demonstrate addition

and subtraction of length using

number sentences in the

conventional manner.

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conversion of units in;a) milimetre,

b) metre and centimetre,c) centimeter and milimetre.

d)

24 6. LENGTH 3. BASIC

OPERATIONSINVOLVING

LENGTH

2. Multiply and divide length. i. Multiply units of length, involving

conversion of units by;a) one-digit number,

b) 10, 100 and 1000

ii. Divide units of length, involving

conversion of units by;

a) one-digit number,b) 10, 100 and 1000

iii. Solve problems involving basic operationon length.

Pupils demonstrate

multiplication and divisionusing number sentences in the


Pupils create stories of lengthfrom given number sentences.

25 7. MASS 1 . MEASURINGMASS

1. Measure mass usingstandard units.

i. Measure of masses using in units ofkilogram and gram

ii. Read measurement of masses to thenearest scales division of kilograms and

grams.

iii. Estimate the masses of objects using

kilograms and grams.

Pupils measure, read andrecord masses of objects in

kilograms and grams usingweighing scale.




LEARNING OUTCOMES


SUGGESTED TEACHING

AND LEARNING

ACTIVITIES

7. MASS 2. RELATIONSHIP

BETWEEN UNITS

OF MASS

1. Understand the relationship

between units of mass.

i. Convert units of mass from

a) Kilograms to grams,

b) Kilograms and grams to grams,

c) Kilograms and grams to kilograms

Pupils convert units of mass.

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26 7. MASS 3. BASIC

OPERATIONSINVOLVING MASS

1. Add and subtract involving

units of mass

i. Add mass involving units of mass in;

a) kilograms,b) grams,

c) kilograms and grams.

ii. Subtract mass involving units of mass in;

a) kilograms,

b) grams,c) kilograms and grams.d)

Pupils demonstrate additioninvolving mass in the


Pupils demonstrate subtraction

involving mass in the


27 7. MASS 3. BASIC

OPERATIONSINVOLVING MASS

2. Multiply and divide units

of mass.

i. Multiply mass involving conversion of

units, witha) one-digit number,

b) 10, 100 and 1000.ii. Divide mass involving conversion of

units;

a) one-digit number,

b) 10, 100 and 1000.

iii. Solve problems involving basic operation

with mass.

Pupils demonstrate

multiplication involving massin the conventional manner.

Pupils demonstrate

multiplication involving mass

in the conventional manner,

using the long division

technique.

Pupil pose problems from a

given sentences involvingmass




LEARNING OUTCOMES


SUGGESTED TEACHING

AND LEARNING

ACTIVITIES

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8. VOLUME OF

LIQUID

1. MEASURING

VOLUME OFLIQUID

1. Measure and compare

volume of liquid usingstandard units.

i. Read measurement of volume of liquid in

litres and mililitres.ii. Write measurement of volume of liquid

to the nearest scales of tenth division

for

a) litre,

b) mililitre.iii. Measure and record the volume of liquidin litres and mililitres.

iv. Estimate the volume of liquid in litres

and mililitres.

Pupils measure, read and

record volume of liquid inlitres and mililitres using

beakers, measuring cylinders.

Estimate volume of liquid byhalving or doublingtechniques.

8. VOLUME OFLIQUID

2. RELATIONSHIPBETWEEN UNITS

OF VOLUME OF

LIQUID

1. Understand the relationshipbetween units of volume of

liquid.

i. Convert unit of volume froma) litres to mililitres,

b) mililitres to litres,

c) litres and mililitres to litres,

d) litres and mililitres to mililitres.

e)

Pupils construct problems forconversion of units from a

given measurement of volume.

30 8. VOLUME OF

LIQUID

3. BASIC

OPERATIONS

INVOLVING

VOLUME OF

LIQUID

1. Add and subtract involving

units of volume

i. Add volume of liquid involving conversionof units in;

a) litre,

b) mililitre,

c) litre and mililitre.

ii. Subtract volume of liquid involving

conversion of units in;a) litre,

b) mililitre,

c) litre and mililitre.

Pupils demonstrate additioninvolving volume in the


Pupils demonstrate subtraction

involving volume in the


31 8. VOLUME OF

LIQUID

3. BASIC

OPERATIONS

INVOLVINGVOLUME OF

LIQUID

2. Multiply and divide involving

units of volume

i. Subtract volume of liquid involving


a) one-digit numberb) 10, 100 and 1000.

Pupils demonstrate

multiplication involving mass

in the conventional manner.


WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES LEARNING OUTCOMES

SUGGESTED TEACHING

AND LEARNING

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Pupils will be tought to : Pupils will be able to : ACTIVITIES

8. VOLUME OF

LIQUID

3. BASIC

OPERATIONS

INVOLVING

VOLUME OF

LIQUID

2. Multiply and divide involving

units of volume

ii. Divide volume of liquid involving


a) one-digit number

b) 10, 100 and 1000.

iii. Solve problems involving volume of

liquids.

Pupils demonstrate division of

volume of liquid in the


Pupils create stories about

volume of liquids from givennumber sentences.

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34

9. SHAPEANDSPACE

1. TWODIMENSIONAL

SHAPES

1. Understand the figurerelated to perimeter

i. Identify the sides of a;a) square,

b) rectangle,c) triangle.

ii. Measure and record the perimeter of a

a) square,

b) rectangle,

c) triangle.

d)

Pupils measure the perimeterof the figure given by using

suggested measuring tools.

9. SHAPE ANDSPACE

1. TWODIMENSIONAL

SHAPES

2. Understand the figurerelated to area.

i. Identify the dimensions of aa) square,

b) rectangle.ii. Compare squares with a unit square;

a) rectangle,b) Square.

c)

Pupils compare using a gridpaper.

35 9. SHAPE ANDSPACE

1. TWODIMENSIONAL

SHAPES

3. Record and calculate thearea and perimeter 2-D

shapes.

i. Measure and record the dimensions ofsquares and rectangles.

ii. Calculate the area of squares andrectangles.

iii. Solve problems involving perimeter and

area of 2-D shapes.

Pupils calculate area usingformula;

Area = length x breadth


WEEK TOPIC LEARNING AREA LEARNING OBJECTIVES LEARNING OUTCOMES

SUGGESTED TEACHING

AND LEARNING

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Pupils will be tought to : Pupils will be able to : ACTIVITIES

36 9. SHAPE AND

SPACE

2. THREE

DIMENSIONAL

SHAPES

1. Understand the volume of

cubes and cuboids.

i. Identify the dimensions of cubes and

cuboids.

ii. Measure and record the dimensions of

cubes and cuboids.

iii. Compare with a cube unit;

a) cuboid,b) cube.

c)

Draw 3-D shapes from given

measurements.

Use other measurements to

draw.

Draw nets of cuboids from a

given set of measurements.

9. SHAPE ANDSPACE

2. THREEDIMENSIONAL

SHAPES

2. Find the volume for cubesand cuboids.

i. Calculate the volume of cubes and

cuboids.ii. Solve problems involving volume of cubes

and cuboids.

Pupils calculate area using

formula;Length x breadth x heigth

37 10. DATA

HANDLING

1. PICTOGRAPH 1. Recognise and draw

pictograph

i. Recognise a pictograph that represents;

a) one unit;

b) more than one unit.

ii. Draw pictograph.iii. Represent data by a pictograph.

Uses horizontal and verticalpictograph. Use the same

picture to represent one unit or

more than one unit.

Involve counting activities to

show numbers or quantities,making comparison and

finding the total quantity.

38 1. BAR GRAPHS 1. Recognise, read and draw

bar graphs.

i. Recognise:-

a) horizontal bar graphs,

b) vertical bar graphs.

ii. Express the difference between ahorizontal and a vertical bar graphs

based on the axis.iii. Tabulate data from data sources.

iv. Build:-

a) horizontal bar graphs,b) vertical bar graphs.

v. Interpret data from the bar graphs.

Teacher displays horizontal

and vertical bar graphs. Use

the same bar graphs to

represent one unit or morethan one unit.

Pupil read bar graphs.

Involve counting activities toshow numbers or quantities,

making comparison and

finding the total quantity.

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