Double Digit Addition & Subtraction
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Transcript of Double Digit Addition & Subtraction
Strategies Based on Place Value
Double Digit Addition &
Subtraction
©Stacey Fisher, 2015
Games, Activities, & Assessments
Differentiated Without Regrouping & With Regrouping
Table of Contents Strategy Help…………………………..3-4 Memory (4 levels)……………………………5-13 Write the Room (4 levels)………………..14-38 Choice Boards (4 levels)……………….39-47 Assessments (4 levels)…………………48-80
©Stacey Fisher, 2015
Hundreds Chart I have my students circle the first number in the addition or
subtraction problem. Then, they move up and down by tens and side to side by ones to either add the second addend or take away the
subtrahend. I have them circle the final number that they landed on and write the sum or difference beside the 100’s chart.
Open Number Line My students begin by drawing a blank number line. If they are
adding, they write the first addend on the left side of the number line. If they are subtracting, they write the largest number/minuend
on the right side of the number line. They will add or subtract by 10’s and 1’s until they have added the second addend or subtracted the subtrahend. When they are adding or subtracting, I have them draw “jumps” or “hills” for each group of tens or each one that they add or subtract. I have them label each jump with +10, -10, +1,
or -1 and write the answer underneath each jump. I encourage them to draw jumps that are large enough to leave space to write the new answer under each jump. If the jumps are too close to each other, students will often make mistakes by not adding or
subtracting each jump which will lead to calculation errors.
Place Value I have my students add the value of each digit, beginning with the
numbers in the tens place. They add the value of the number in the tens place of each addend. Then, they add the value of the number
in the ones place of each addend. Then, they add both sums together. For example, if the problem is 32 + 45, they would add 30 and 40, add 2 and 5, and then add both sums together. If they are
subtracting, they will subtract the values of the numbers in the tens places and the values of the numbers in the ones places. They will
ADD both differences together. For example, if the problem is 78 – 23, they would solve 70 – 20, 8 – 3, and then add both differences together. If they have to regroup, they will borrow ten ones from the tens place, either before or after they subtract the value of
the digits in the tens places.
Strategy Help
©Stacey Fisher, 2015
Base Ten Blocks I have my students start by drawing a quick t-chart labeled with “t” for tens and “o” for ones. They draw the first addend in base ten blocks,
using lines for the tens rods and x’s for the ones units. Then, they draw the second addend in base ten blocks at the bottom of the t-chart. I
encourage them to leave some space between the representations of both addends to make it easier for them to check their work and find any mistakes. If the problem does not require regrouping, they simply count the number of tens rods and the number of ones blocks in both addends to determine the sum. If regrouping is required, I have my kids circle a group of ten ones units, draw an arrow indicating that the group of ten
ones units is moving to the tens side of the t-chart, draw a new tens rod on the tens side of the t-chart, and scribble out the circled group of ten
ones that was traded in for a new tens rod. They count the remaining tens rods and ones units to determine the sum.
I have my kids set up a subtraction problem in the same way. They draw
the largest number (minuend) in base ten blocks on a t-chart. If regrouping is not required, they simply cross out/”squiggle” out the
number of tens rods and ones units being subtracted. They will count the remaining base tens blocks to determine the difference. If
regrouping is required, I have my students circle a tens rod to be traded in for ten ones units. After they circle the tens rod, they draw an
arrow indicating that it will be moving to the ones side of the t-chart. I have them draw a group of ten ones units on the ones side of
the t-chart. I encourage them to keep this new group of ones units separate from the ones units that were previously drawn as part of the
minuend. Then, they cross out the tens rod that was traded in, making sure it is still easy to see that it was previously circled (indicating a fair trade not subtraction). Next, they cross out the number of tens rods and ones units being subtracted. They will count the remaining base ten
blocks to determine the difference. I have found that students will frequently not subtract enough tens rods when solving a subtraction
problem with regrouping. They will see that a tens rod was crossed out when it was traded in for ten ones units and not realize the tens rod that
was crossed out for the trade was NOT subtracted. Therefore, I always have my kids circle the tens rod that is being traded in so they can see a difference between the tens rods being subtracted and the
tens rods being traded in for ten ones units.
Strategy Help
©Stacey Fisher, 2015
Memory Number of players: 2 or more Differentiation: There are four levels:
• Addition Without Regrouping • Subtraction Without Regrouping • Addition With Regrouping • Subtraction With Regrouping
Supplies: Print a set of the selected Memory cards on cardstock or thick paper for each group. Cut out the deck of cards for each group.
Directions: Spread the cards face down on the table or the floor. Students take turns flipping over 2 cards. If a student gets a match, he or she keeps the match and takes another turn. A match is an equation with an illustration of a strategy being used to solve that equation. If a student does not get a match, both cards are returned to the face down position and that student’s turn is over. Play continues until all the matches have been found. After all the matches have been found, students count their cards to see who has the most cards.
©Stacey Fisher, 2015
Memory-Addition Strategies without Regrouping (page 1)
32 + 26
13 + 42 10 + 40 = 50
3 + 2 = 5 50 + 5 = 55
62 + 15
53 + 41
©Stacey Fisher, 2015
Tens Ones
X X
X X X X X
.(((((.(((((.(((((.(((((.(((((. 53 63 73 83 93 94
+10 +10 +10 +10 +1
58
Memory-Addition Strategies without Regrouping (page 2)
22 + 57
35 + 14 30 + 10 = 40
5 + 4 = 9 40 + 9 = 49
82 + 11
16 + 31
Tens Ones
X X
X
.(((((.(((((.(((((.(((((. 16 26 36 46 47
+10 +10 +10 +1
©Stacey Fisher, 2015
79
Memory-Subtraction Strategies without Regrouping (page 1)
49 - 37
34 - 13 30 - 10 =20
4 - 3 = 1 20 + 1 = 21
77 - 45
82 - 41
Tens Ones
X X X X X X X
.(((((.(((((.(((((.(((((.(((((. 41 42 52 62 72 82
-1 -10 -10 -10 -10
©Stacey Fisher, 2015
12
Memory-Subtraction Strategies without Regrouping (page 2)
96 - 22
58 - 42 50 - 40 = 10
8 - 2 = 6 10 + 6 = 16
67 - 23
99 - 31
Tens Ones
X X X X X X X
.(((((.(((((.(((((.(((((. 68 69 79 89 99
-1 -10 -10 -10
©Stacey Fisher, 2015
74
Memory-Addition Strategies with Regrouping (page 1)
37 + 46
49 + 12 40 + 10 = 50
9 + 2 = 11 50 + 11 = 61
56 + 36
48 + 23
Tens Ones
X X X X X X
X X X X X X
.(((((.(((((.(((((.(((((.(((((. 48 58 68 69 70 71
+10 +10 +1 +1 +1
©Stacey Fisher, 2015
83
Memory-Addition Strategies with Regrouping (page 2)
39 + 49
18 + 47 10 + 40 = 50
8 + 7 = 15 50 + 15 = 65
16 + 26
39 + 14
Tens Ones
X X X X X X
X X X X X X
.(((((.(((((.(((((.(((((.(((((. 39 49 50 51 52 53
+10 +1 +1 +1 +1
©Stacey Fisher, 2015
88
Memory-Subtraction Strategies with Regrouping (page 1)
31 - 17
45 - 28 40 - 20 =20
5 - 8 = 7 10 + 7 = 17
54 - 36
91 - 23 .(((((.(((((.(((((.(((((.(((((. 68 69 70 71 81 91
-1 -1 -1 -10 -10
10 15
Tens Ones
X X X X
X X X X X X X X X X
©Stacey Fisher, 2015
14
Memory-Subtraction Strategies with Regrouping (page 2)
85 - 27
78 - 29 70 - 20 =50
8 - 9 = 9 40 + 9 = 49
64 - 18
41 - 32 .(((((.(((((.(((((.(((((.(((((. 9 10 11 21 31 41
-1 -1 -10 -10 -10
40 18
Tens Ones
X X X X
X X X X X X X X X X
©Stacey Fisher, 2015
58
Write the Room Number of players: Individual students Differentiation: There are four levels:
• Addition Without Regrouping • Subtraction Without Regrouping • Addition With Regrouping • Subtraction With Regrouping
Supplies: Print and cut out the selected cards. Hang the cards around the classroom. If you choose to use multiple levels around the room at one time, you might want to print each
level on a different color of paper. Each student will need a recording sheet. I sometimes have the whole class or a larger group of students complete a Write the Room activity at the same time. If I’m using the same cards for everyone, I will often print two sets of the same Write the Room activity on different colored cards. The girls will go to one color and the boys will go to another color to help keep everyone spread out around the classroom instead of clustered around one card.
Directions: Students will walk around the classroom looking for the cards. When they find a card, they will solve the problem using the strategy listed on the card. They will write the equation and show how they used the strategy to solve the problem on their recording sheets by the correct letter.
©Stacey Fisher, 2015
Write the Room-Addition Strategies without Regrouping
12 + 31 Solve with
partial sums (place value).
42 + 15 Solve with a 100’s chart.
22 + 65 Solve with
base ten blocks.
34 + 45 Solve with a 100’s chart.
16 + 43 Solve with an
open number line.
56 + 32 Solve with an
open number line.
A B
C D
E F
©Stacey Fisher, 2015
Write the Room-Addition Strategies without Regrouping
54 + 43 Solve with partial sums
(place value).
46 + 22 Solve with a 100’s chart.
17 + 62 Solve with
base ten blocks.
45 + 42 Solve with partial sums
(place value).
60 + 32 Solve with an
open number line.
63 + 12 Solve with an
open number line.
G H
I J
K L
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Find each card. Record the equation in the correct box. Solve the problem on the card using the strategy listed.
Write the Room-Addition Strategies without Regrouping
_____ + _____ = _____ _____ + _____ = _____
_____ + _____ = _____ _____ + _____ = _____
_____ + _____ = _____
_____ + _____ = _____
A B
C D
E
F
©Sta
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Find each card. Record the equation in the correct box. Solve the problem on the card using the strategy listed.
Write the Room-Addition Strategies without Regrouping
_____ + _____ = _____ _____ + _____ = _____
_____ + _____ = _____ _____ + _____ = _____
_____ + _____ = _____
_____ + _____ = _____
G H
I J
K
L
©Sta
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12 + 31 = 43 42 + 15 = 57
22 + 65 = 87 34 + 45 = 79
16 + 43 = 59
56 + 32 = 88
A B
C D
E
F
ANSWER KEY Write the Room-Addition Strategies without Regrouping
.(((((.(((((.(((((.(((((.(((((.(((((.(((((. 43 53 54 55 56 57 58 59
+10 +1 +1 +1 +1 +1 +1
.(((((.(((((.(((((.(((((.(((((. 56 66 76 86 87 88
+10 +10 +10 +1 +1
10 + 30 = 40 2 + 1 = 3 40 + 3 = 43
Tens Ones
X X
X X X X X
©Sta
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54 + 43 = 97 46 + 22 = 68
17 + 62 = 79 45 + 42 = 87
60 + 32 = 92
63 + 12 = 75
G H
I J
K
L
ANSWER KEY Write the Room-Addition Strategies without Regrouping
.(((((.(((((.(((((.(((((.(((((. 60 70 80 90 91 92
+10 +10 +10 +1 +1
.(((((.(((((.(((((. 63 73 74 75
+10 +1 +1
50 + 40 = 90 4 + 3 = 7 90 + 7 = 97
Tens Ones
X X X X X X X
X X
40 + 40 = 80 5 + 2 = 7 80 + 7 = 87
©Sta
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Write the Room-Subtraction Strategies without Regrouping
78 - 15 Solve with
partial differences (place value).
54 - 32 Solve with a 100’s chart.
96 - 24 Solve with
base ten blocks.
67 - 46 Solve with a 100’s chart.
89 - 43 Solve with an
open number line.
65 -41 Solve with an
open number line.
A B
C D
E F
©Stacey Fisher, 2015
Write the Room-Subtraction Strategies without Regrouping
99 - 61 Solve with
partial differences (place value).
66 - 25 Solve with a 100’s chart.
78 - 35 Solve with
base ten blocks.
89 - 13 Solve with
partial differences (place value).
64 - 51 Solve with an
open number line.
79 -23 Solve with an
open number line.
G H
I J
K L
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Find each card. Record the equation in the correct box. Solve the problem on the card using the strategy listed.
Write the Room-Subtraction Strategies without Regrouping
_____ - _____ = _____ _____ - _____ = _____
_____ - _____ = _____ _____ - _____ = _____
_____ - _____ = _____
_____ - _____ = _____
A B
C D
E
F
©Sta
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Find each card. Record the equation in the correct box. Solve the problem on the card using the strategy listed.
_____ - _____ = _____ _____ - _____ = _____
_____ - _____ = _____ _____ - _____ = _____
_____ - _____ = _____
_____ - _____ = _____
G H
I J
K
L
Write the Room-Subtraction Strategies without Regrouping ©
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78 - 15 =63 54 - 32 = 22
96 - 24 = 72 67 - 46 = 21
89 - 43 = 46
65 - 41 = 24
A B
C D
E
F
ANSWER KEY Write the Room-Subtraction Strategies without Regrouping
.(((((.(((((.(((((.(((((.(((((.(((((.(((((. 46 47 48 49 59 69 79 89
-1 -1 -1 -10 -10 -10 -10
.(((((.(((((.(((((.(((((.(((((. 24 25 35 45 55 65
-1 -10 -10 -10 -10
70 - 10 = 60 8 - 5 = 3 60 + 3 = 63
Tens Ones
X X X X X X
©Sta
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99 - 61 =38 66 - 25 = 41
78 - 35 = 43 89 - 13 = 71
64 - 51 = 13
79 - 23 = 56
G H
I J
K
L
ANSWER KEY
90 - 60 = 30 9 - 1 = 8 30 + 8 = 38
Tens Ones
80 - 10 = 70 9 - 3 = 6 70 + 6 = 76
.(((((.(((((.(((((.(((((.(((((. 56 57 58 59 69 79
-1 -1 -1 -10 -10
.(((((.(((((.(((((.(((((.(((((.(((((. 13 14 24 34 44 54 64
-1 -10 -10 -10 -10 -10
X X X X X X X X
Write the Room-Subtraction Strategies without Regrouping ©
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Write the Room-Addition Strategies with Regrouping
57 + 24 Solve with
partial sums (place value).
19 + 15 Solve with a 100’s chart.
38 + 24 Solve with
base ten blocks.
43 + 39 Solve with a 100’s chart.
45 + 16 Solve with an
open number line.
68 + 23 Solve with an
open number line.
A B
C D
E F
©Stacey Fisher, 2015
Write the Room-Addition Strategies with Regrouping
27 + 68 Solve with partial sums
(place value).
17 + 25 Solve with a 100’s chart.
56 + 26 Solve with
base ten blocks.
37 + 59 Solve with partial sums
(place value).
47 + 5 Solve with an
open number line.
48 + 33 Solve with an
open number line.
G H
I J
K L
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Find each card. Record the equation in the correct box. Solve the problem on the card using the strategy listed.
Write the Room-Addition Strategies with Regrouping
_____ + _____ = _____ _____ + _____ = _____
_____ + _____ = _____ _____ + _____ = _____
_____ + _____ = _____
_____ + _____ = _____
A B
C D
E
F
©Sta
ce
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015
Find each card. Record the equation in the correct box. Solve the problem on the card using the strategy listed.
Write the Room-Addition Strategies with Regrouping
_____ + _____ = _____ _____ + _____ = _____
_____ + _____ = _____ _____ + _____ = _____
_____ + _____ = _____
_____ + _____ = _____
G H
I J
K
L
©Sta
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57 + 24 = 81 19 + 15 = 34
38 + 24 = 62 43 + 39 = 82
45 + 16 = 61
68 + 23 = 91
A B
C D
E
F
ANSWER KEY Write the Room-Addition Strategies with Regrouping
.(((((.(((((.(((((.(((((.(((((.(((((.(((((. 45 55 56 57 58 59 60 61
+10 +1 +1 +1 +1 +1 +1
.(((((.(((((.(((((.(((((.(((((. 68 78 88 89 90 91
+10 +10 +1 +1 +1
50 + 20 = 70 7 + 4 = 11 70 + 11 = 81
Tens Ones
X X X X X X X X
X X X X
©Sta
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27 + 68 = 95 17 + 25 = 42
56 + 26 = 82 37 + 59 = 96
47 + 5 = 52
48 + 33 = 81
G H
I J
K
L
ANSWER KEY Write the Room-Addition Strategies with Regrouping
.(((((.(((((.(((((.(((((.(((((. 47 48 49 50 51 52
+1 +1 +1 +1 +1
20 + 60 = 80 7 + 8 = 15 80 + 15 = 95
Tens Ones
X X X X X X X X X X X X
30 + 50 = 80 7 + 9 = 16 80 + 16 = 96
.(((((.(((((.(((((.(((((.(((((.(((((. 48 58 68 78 79 80 81
+10 +10 +10 +1 +1 +1 ©Sta
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Write the Room-Subtraction Strategies with Regrouping
54 - 17 Solve with
base ten blocks
72 - 46 Solve with a 100’s chart.
87 - 39 Solve with
base ten blocks.
41 - 28 Solve with a 100’s chart.
63 - 25 Solve with an
open number line.
92 -14 Solve with an
open number line.
A B
C D
E F
©Stacey Fisher, 2015
Write the Room-Subtraction Strategies with Regrouping
73 - 38 Solve with
base ten blocks
47 - 29 Solve with a 100’s chart.
50 - 19 Solve with
base ten blocks.
93 - 46 Solve with a 100’s chart.
41 - 13 Solve with an
open number line.
82 -24 Solve with an
open number line.
G H
I J
K L
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Find each card. Record the equation in the correct box. Solve the problem on the card using the strategy listed.
Write the Room-Subtraction Strategies with Regrouping
_____ - _____ = _____ _____ - _____ = _____
_____ - _____ = _____ _____ - _____ = _____
_____ - _____ = _____
_____ - _____ = _____
A B
C D
E
F
©Sta
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er, 2
015
Find each card. Record the equation in the correct box. Solve the problem on the card using the strategy listed.
Write the Room-Subtraction Strategies with Regrouping
_____ - _____ = _____ _____ - _____ = _____
_____ - _____ = _____ _____ - _____ = _____
_____ - _____ = _____
_____ - _____ = _____
G H
I J
K
L
©Sta
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54 - 17 =37 72 - 46 = 26
87 - 39 = 48 41 - 28 = 13
63 - 25 = 38
92 - 14 = 78
A B
C D
E
F
ANSWER KEY Write the Room-Subtraction Strategies with Regrouping
.(((((.(((((.(((((.(((((.(((((.(((((.(((((. 38 39 40 41 42 43 53 63
-1 -1 -1 -1 -1 -10 -10
.(((((.(((((.(((((.(((((.(((((. 78 79 80 81 82 92
-1 -1 -1 -1 -10
Tens Ones
X X X X X X X
X X X X X X X X X X
Tens Ones
X X X X
X X X X X X X X X X
©Sta
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G H
I J
K
L
ANSWER KEY Write the Room-Subtraction Strategies with Regrouping
73 - 38 =35 47 - 29 = 18
50 - 19 = 31 93 - 46 = 47
41 - 13 = 28
82 - 24 = 58
.(((((.(((((.(((((.(((((. 28 29 30 31 41
-1 -1 -1 -10
Tens Ones
X X X X X X X X X X
Tens Ones
X X X
X X X X X X X X X X
.(((((.(((((.(((((.(((((.(((((.(((((. 58 59 60 61 62 72 82
-1 -1 -1 -1 -10 -10 ©Sta
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Choice Boards Differentiation: There are four levels.
• Addition Without Regrouping • Subtraction Without Regrouping • Addition With Regrouping • Subtraction With Regrouping
You can also differentiate by requiring some students to earn more points on their choice boards and requiring others to earn fewer points on their choice boards.
Materials: Each child will need a copy of the chosen choice board with the number of required points filled in at the top. Students will be able to complete most activities on any piece of paper. For one of the 3 point activities, students will need a copy of the spinners. I usually print mine
and place clear overhead spinners on top. If you do not have the overhead spinners, you can just use a paperclip and a mechanical pencil as a makeshift
spinner. For one of the 5 point activities, students will need index cards to create a Memory game. For the other 5 point activity, students will be creating an informative book teaching how to use the different strategies. I gave my students half sheets to paper to save paper. Whole sheets of paper would also work.
Print the selected choice boards. Students will choose which activities to complete to earn the specified number of points. I left the number of points blank so you could decide how many activities you want your kids to complete. If you want them to work on the choice board for a shorter amount of time, you might want to only require 6 points. If you want them to work on the choice boards for a longer amount of time, you might want to require 10 or more points. You can also differentiate by requiring some students to earn more points on their choice boards while requiring other students to earn fewer points on their choice boards.
©Stacey Fisher, 2015
Name ________________________ Date __________________
CHOICE BOARD Addition Strategies without Regrouping
Choose options that equal ___ points. Cross off the activities as you complete them.
1 Point Activities
Which addition strategy is your favorite to use? Solve the
following problem using your favorite strategy:
34 + 52 = ___
Explain why that strategy is your favorite. What makes it the best?
Solve the following word problem using an addition strategy:
Caitlin read 21 books in May, 25 books in June, and 23 books in
August. How many books did she read altogether?
3 Point Activities
Spin both of the Addition Without Regrouping spinners. Add the two
numbers you spun. Write the equation and answer. Show how
you solved the problem with a strategy. Spin the spinners 2 more
times to create a total of 3 equations. Use a different
strategy each time.
Create a math test with at least 3 addition problems that do not require regrouping. Make an
answer key on a separate piece of paper. Your answer key should show how to use a strategy to
solve each of the problems. Use a different strategy each time.
5 Point Activities
Create an informative book that teaches the reader how to use
four different addition strategies without regrouping. Your book will have at least 4 pages plus a cover page and a table of contents page. Each addition strategy should be
listed on a separate page with instructions on how to use that
strategy.
Create a memory game where players match an equation with a
picture of a strategy being used to solve that problem. Get 20 index cards to create your game. Write
an addition problem without regrouping on 10 of the cards. Show how to use a strategy to
solve each of the problems on the other 10 cards. For example, you might write 32 + 25 on 1 card and solve that problem with an open
number line on another card.
©Stacey Fisher, 2015
Spinners Addition without Regrouping
25
43
52 41
10 15
31 13
35 50
32
12
21 14
40 33
42 31
24 20
Spinners Addition without Regrouping
25
43
52 41
10 15
31 13
35 50
32
12
21 14
40 33
42 31
24 20
©Stacey Fisher, 2015
Name ________________________ Date __________________
CHOICE BOARD Subtraction Strategies without Regrouping
Choose options that equal ___ points. Cross off the activities as you complete them.
1 Point Activities
Which subtraction strategy is your favorite to use? Solve the
following problem using your favorite strategy:
67 - 42 = ___
Explain why that strategy is your favorite. What makes it the best?
Solve the following word problem using a subtraction strategy:
The baker made 58 cookies for a party. The kids ate 33 cookies.
The adults ate 11 cookies. Two of the cookies fell on the floor and
had to be thrown away. How many cookies are left?
3 Point Activities
Spin both of the Subtraction Without Regrouping spinners.
Subtract the smaller number from the larger number that you spun. Write the equation and answer.
Show how you solved the problem with a different strategy each time. Spin the spinners 2 more times to
create a total of 3 equations.
Create a math test with at least 3 subtraction problems that do not
require regrouping. Make an answer key on a separate piece of
paper. Your answer key should show how to use a strategy to
solve each of the problems. Use a different strategy each time.
5 Point Activities
Create an informative book that teaches the reader how to use
four different subtraction strategies without regrouping.
Your book will have at least 4 pages plus a cover page and a table of
contents page. Each subtraction strategy should be listed on a
separate page with instructions on how to use that strategy.
Create a memory game where players match an equation with a
picture of a strategy being used to solve that problem. Get 20 index
cards to create your game. Write a subtraction problem without
regrouping on 10 of the cards. Show how to use a strategy to
solve each of the problems on the other 10 cards. For example, you might write 48 - 16 on 1 card and solve that problem with an open
number line on another card.
©Stacey Fisher, 2015
Spinners Subtraction without Regrouping
24
43
52 41
44 12
31 13
34 50
98
89
75 97
76 68
77 67
99 88
Spinners Subtraction without Regrouping
24
43
52 41
44 12
31 13
34 50
98
89
75 97
76 68
77 67
99 88
©Stacey Fisher, 2015
Name ________________________ Date __________________
CHOICE BOARD Addition Strategies with Regrouping
Choose options that equal ___ points. Cross off the activities as you complete them.
1 Point Activities
Which addition strategy is your favorite to use? Solve the
following problem using your favorite strategy:
29 + 58 = ___
Explain why that strategy is your favorite. What makes it the best?
Solve the following word problem using an addition strategy:
Spring Elementary School is preparing for a special assembly
for kindergarten and 1st grade. There are 49 kids in kindergarten and 46 kids in 1st grade. How many
kids will be attending the assembly?
3 Point Activities
Spin both of the Addition With Regrouping spinners. Add the two
numbers you spun. Write the equation and answer. Show how
you solved the problem with a strategy. Spin the spinners 2 more
times to create a total of 3 equations. Use a different
strategy each time.
Create a math test with at least 3 addition problems that require
regrouping. Make an answer key on a separate piece of paper.
Your answer key should show how to use a strategy to solve each of
the problems. Use a different strategy each time.
5 Point Activities
Create an informative book that teaches the reader how to use
four different addition strategies WITH regrouping. Your book will
have at least 4 pages plus a cover page and a table of contents page. Each addition strategy should be
listed on a separate page with instructions on how to use that
strategy.
Create a memory game where players match an equation with a
picture of a strategy being used to solve that problem. Get 20 index cards to create your game. Write
an addition problem WITH regrouping on 10 of the cards. Show how to use a strategy to
solve each of the problems on the other 10 cards. For example, you might write 47 + 36 on 1 card and solve that problem with an open
number line on another card.
©Stacey Fisher, 2015
Spinners Addition with Regrouping
25
38
45 19
46 16
38 18
27 29
37
17
28 16
48 39
45 35
29 26
Spinners Addition with Regrouping
25
38
45 19
46 16
38 18
27 29
37
17
28 16
48 39
45 35
29 26
©Stacey Fisher, 2015
Name ________________________ Date __________________
CHOICE BOARD Subtraction Strategies with Regrouping
Choose options that equal ___ points. Cross off the activities as you complete them.
1 Point Activities
Which subtraction strategy is your favorite to use? Solve the
following problem using your favorite strategy:
57 - 39 = ___
Explain why that strategy is your favorite. What makes it the best?
Solve the following word problem using a subtraction strategy:
There were 42 kids playing at the park. 15 kids left to go to soccer
practice and 13 kids left to eat dinner. How many kids are still
playing at the park?
3 Point Activities
Spin both of the Subtraction With Regrouping spinners. Subtract the
smaller number from the larger number that you spun. Write the equation and answer. Show how
you solved the problem with a different strategy each time. Spin
the spinners 2 more times to create a total of 3 equations.
Create a math test with at least 3 subtraction problems that require regrouping. Make an answer key
on a separate piece of paper. Your answer key should show how to use a strategy to solve each of
the problems. Use a different strategy each time.
5 Point Activities
Create an informative book that teaches the reader how to use
four different subtraction strategies WITH regrouping. Your book will have at least 4 pages plus
a cover page and a table of contents page. Each subtraction
strategy should be listed on a separate page with instructions on
how to use that strategy.
Create a memory game where players match an equation with a
picture of a strategy being used to solve that problem. Get 20 index
cards to create your game. Write a subtraction problem WITH
regrouping on 10 of the cards. Show how to use a strategy to
solve each of the problems on the other 10 cards. For example, you might write 48 - 16 on 1 card and solve that problem with an open
number line on another card.
©Stacey Fisher, 2015
Spinners Subtraction with Regrouping
48
16
59 46
29 17
38 19
36 27
92
91
74 82
64 63
71 72
83 80
Spinners Subtraction with Regrouping
48
16
59 46
29 17
38 19
36 27
92
91
74 82
64 63
71 72
83 80
©Stacey Fisher, 2015
Assessments Differentiation: There are four levels.
• Addition Without Regrouping • Subtraction Without Regrouping • Addition With Regrouping • Subtraction With Regrouping
There are 4 different types of assessment sheets. Each assessment is offered in the levels listed above. The assessments include: • Using a specified strategy to solve 6 different
problems • Choosing a strategy or multiple strategies to solve a
“math square” • Choosing a strategy to prove the answer to a single
problem • Choosing a strategy or multiple strategies to determine
if the answers to 4 problems are true or false
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Addition Strategies without Regrouping Assessment
23 + 41 = ____ 45 + 32 = ____
64 + 15 = ____ 33 + 56 = ____
46 + 13 = ____
72 + 24 = ____
Solve each problem using the strategy listed in the box.
Partial Sums (Place Value) Hundreds Chart
Base Ten Picture Hundreds Chart
Open Number Line
Open Number Line
©Sta
ce
y F
ish
er, 2
015
23 + 41 =64 45 + 32 = 77
64 + 15 = 79 33 + 56 = 89
46 + 13 = 59
72 + 24 = 96
Partial Sums (Place Value) Hundreds Chart
Base Ten Picture Hundreds Chart
Open Number Line
Open Number Line
ANSWER KEY Addition Strategies without Regrouping Assessment
©Sta
ce
y F
ish
er, 2
015
Name ___________________________ Date __________________
Subtraction Strategies without Regrouping Assessment
89 - 45 = ____ 77 - 34 = ____
95 - 24 = ____ 35 - 13 = ____
53 - 22 = ____
74 - 31 = ____
Solve each problem using the strategy listed in the box.
Partial Differences (Place Value) Hundreds Chart
Base Ten Picture Hundreds Chart
Open Number Line
Open Number Line
©Sta
ce
y F
ish
er, 2
015
89 - 45 = 44 77 - 34 = 43
95 - 24 = 71 35 - 13 = 22
53 - 22 = 31
74 - 31 = 43
Partial Differences (Place Value) Hundreds Chart
Base Ten Picture Hundreds Chart
Open Number Line
Open Number Line
ANSWER KEY Subtraction Strategies without Regrouping Assessment
©Sta
ce
y F
ish
er, 2
015
Name ___________________________ Date __________________
Addition Strategies with Regrouping Assessment
37 + 46 = ____ 57 + 34 = ____
14 + 29 = ____ 26 + 57 = ____
69 + 24 = ____
38 + 33 = ____
Solve each problem using the strategy listed in the box.
Partial Sums (Place Value) Hundreds Chart
Base Ten Picture Hundreds Chart
Open Number Line
Open Number Line
©Sta
ce
y F
ish
er, 2
015
37 + 46 = 83 57 + 34 = 91
14 + 29 = 43 26 + 57 = 83
69 + 24 = 93
38 + 33 = 71
Partial Sums (Place Value) Hundreds Chart
Base Ten Picture Hundreds Chart
Open Number Line
Open Number Line
ANSWER KEY Addition Strategies with Regrouping Assessment
©Sta
ce
y F
ish
er, 2
015
Name ___________________________ Date __________________
Subtraction Strategies with Regrouping Assessment
71 - 35 = ____ 54 - 29 = ____
83 - 35 = ____ 75 - 16 = ____
42 - 25 = ____
53 - 16 = ____
Solve each problem using the strategy listed in the box.
Partial Differences (Place Value) Hundreds Chart
Base Ten Picture Hundreds Chart
Open Number Line
Open Number Line
©Sta
ce
y F
ish
er, 2
015
71 - 35 = 36 54 - 29 = 25
83 - 35 = 48 75 - 16 = 59
42 - 25 = 17
53 - 16 = 37
Partial Differences (Place Value) Hundreds Chart
Base Ten Picture Hundreds Chart
Open Number Line
Open Number Line
ANSWER KEY Subtraction Strategies with Regrouping Assessment
©Sta
ce
y F
ish
er, 2
015
Name ___________________________ Date __________________
Add the two numbers in each row, each column, and each diagonal. Prove your thinking using a strategy.
Math Square: Addition without Regrouping
23 45
12 44
Answer Answer
Answer
Answer
Answer Answer
©Stacey Fisher, 2015
Math Square: Addition without Regrouping
23 45
12 44
Answer Answer
Answer
Answer
Answer Answer
ANSWER KEY
68
56
67 89 35 57
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Subtract the two numbers in each row, each column, and each diagonal. Prove your thinking using a strategy.
Math Square: Subtraction without Regrouping
89 76
53 21
Answer Answer
Answer
Answer
Answer Answer
©Stacey Fisher, 2015
89 76
53 21
Answer Answer
Answer
Answer
Answer Answer
Math Square: Subtraction without Regrouping
ANSWER KEY
13
32
68 55 36 23
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Add the two numbers in each row, each column, and each diagonal. Prove your thinking using a strategy.
Math Square: Addition with Regrouping
47 14
26 38
Answer Answer
Answer
Answer
Answer Answer
©Stacey Fisher, 2015
47 14
26 38
Answer Answer
Answer
Answer
Answer Answer
Math Square: Addition with Regrouping
ANSWER KEY
61
64
85 52 73 40
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Subtract the two numbers in each row, each column, and each diagonal. Prove your thinking using a strategy.
Math Square: Subtraction with Regrouping
83 75
47 19
Answer Answer
Answer
Answer
Answer Answer
©Stacey Fisher, 2015
83 75
47 19
Answer Answer
Answer
Answer
Answer Answer
Math Square: Subtraction with Regrouping
ANSWER KEY
8
28
64 56 36 28
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Maggie and John were solving addition problems and they each got a different answer to the same problem. Maggie thinks that 32 + 47 = 89
and John thinks that 32 + 47 = 79. Which student is correct? Prove it using an addition strategy.
Prove Your Thinking: Addition Without Regrouping
©Stacey Fisher, 2015
Maggie and John were solving addition problems and they each got a different answer to the same problem. Maggie thinks that 32 + 47 = 89
and John thinks that 32 + 47 = 79. Which student is correct? Prove it using an addition strategy.
Prove Your Thinking: Addition Without Regrouping
ANSWER KEY
Use a strategy to prove that John was correct when he said that 32 + 47 = 79.
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Emily and Max were solving subtraction problems and they each got a different answer to the same problem. Emily thinks that 88 - 42 = 46
and Max thinks that 88 - 42 = 48. Which student is correct? Prove it using a subtraction strategy.
Prove Your Thinking: Subtraction Without Regrouping
©Stacey Fisher, 2015
Emily and Max were solving subtraction problems and they each got a different answer to the same problem. Emily thinks that 88 - 42 = 46
and Max thinks that 88 - 42 = 48. Which student is correct? Prove it using a subtraction strategy.
Prove Your Thinking: Subtraction Without Regrouping
ANSWER KEY
Use a strategy to prove that Emily was correct when she said that 88 - 42 = 46.
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Brooke and Jeff were solving addition problems and they each got a different answer to the same problem. Brooke thinks that 28 + 49 = 77
and Jeff thinks that 28 + 49 = 67 . Which student is correct? Prove it using an addition strategy.
Prove Your Thinking: Addition With Regrouping
©Stacey Fisher, 2015
Brooke and Jeff were solving addition problems and they each got a different answer to the same problem. Brooke thinks that 28 + 49 = 77
and Jeff thinks that 28 + 49 = 67 . Which student is correct? Prove it using an addition strategy.
Prove Your Thinking: Addition With Regrouping
ANSWER KEY
Use a strategy to prove that Brooke was correct when she said that 28 + 49 = 77.
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Lisa and Ethan were solving subtraction problems and they each got a different answer to the same problem. Lisa thinks that 91 - 45 = 56 and
Ethan thinks that 91 - 45 = 46. Which student is correct? Prove it using a subtraction strategy.
Prove Your Thinking: Subtraction With Regrouping
©Stacey Fisher, 2015
Lisa and Ethan were solving subtraction problems and they each got a different answer to the same problem. Lisa thinks that 91 - 45 = 56 and
Ethan thinks that 91 - 45 = 46. Which student is correct? Prove it using a subtraction strategy.
Prove Your Thinking: Subtraction With Regrouping
ANSWER KEY
Use a strategy to prove that Ethan was correct when he said that 91 - 45 = 46.
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Decide if each equation is true or false. Circle your answer at the bottom of each box. Prove your thinking using a strategy.
Be the Teacher: Addition without Regrouping
34 + 51 = 49 64 + 15 = 79
26 + 32 = 58 23 + 56 = 73
True or False True or False
True or False True or False
©Stacey Fisher, 2015
34 + 51 = 49 64 + 15 = 79
26 + 32 = 58 23 + 56 = 73
True or False True or False
True or False True or False
ANSWER KEY Be the Teacher: Addition Without Regrouping
Use a strategy to show 34 + 51 = 85
Use a strategy to show 23 + 56 = 79
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Decide if each equation is true or false. Circle your answer at the bottom of each box. Prove your thinking using a strategy.
Be the Teacher: Subtraction without Regrouping
78 - 46 = 32 56 - 21 = 77
83 - 52 = 21 99 - 16 = 83
True or False True or False
True or False True or False
©Stacey Fisher, 2015
78 - 46 = 32 56 - 21 = 77
83 - 52 = 21 99 - 16 = 83
True or False True or False
True or False True or False
Use a strategy to show 83 - 52 = 31.
Use a strategy to show 56 - 21 = 35.
ANSWER KEY Be the Teacher: Subtraction Without Regrouping
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Decide if each equation is true or false. Circle your answer at the bottom of each box. Prove your thinking using a strategy.
Be the Teacher: Addition with Regrouping
29 + 43 = 62 35 + 38 = 73
18 + 73 = 94 56 + 28 = 84
True or False True or False
True or False True or False
©Stacey Fisher, 2015
29 + 43 = 62 35 + 38 = 73
18 + 73 = 94 56 + 28 = 84
True or False True or False
True or False True or False
Use a strategy to show 18 + 73 = 91.
Use a strategy to show 29 + 43 = 72.
ANSWER KEY Be the Teacher: Addition With Regrouping
©Stacey Fisher, 2015
Name ___________________________ Date __________________
Decide if each equation is true or false. Circle your answer at the bottom of each box. Prove your thinking using a strategy.
Be the Teacher: Subtraction with Regrouping
65 - 36 = 29 46 - 28 = 15
92 - 17 = 75 34 - 25 = 11
True or False True or False
True or False True or False
©Stacey Fisher, 2015
65 - 36 = 29 46 - 28 = 15
92 - 17 = 75 34 - 25 = 11
True or False True or False
True or False True or False
Use a strategy to show 34 - 25 = 9.
Use a strategy to show 46 - 28 = 18.
ANSWER KEY Be the Teacher: Subtraction With Regrouping
©Stacey Fisher, 2015
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