Open Number Line
Compensation
Break Apart an Addend
Use a 100s Chart
Word Problems
100

Draw an open line to show 23+43

66

100

How can you use compensation to find the sum? Then solve.

27 + 46 = ___

a. I can take 3 from 46 and add it to 27 to get 30 + 43 = 73. So 27 + 46 = 73.

b. I can take 6 from 46 and add 3 to 27 to get 40 + 30 = 70. So 27 + 46 = 70.

c. I can add 4 to 46 and subtract 2  from 27 to get 50 + 25 = 75. So 27 + 46 = 75.

d. I can add 4 to 46 and add  3 to 27 to get 50 + 30 = 80. So 27 + 46 = 80.

a. I can take 3 from 46 and add it to 27 to get 30 + 43 = 73. So 27 + 46 = 73.

100

Break apart the second addend to solve 45+27

45+27 

20+7= 27

45+20=65 

65+7=72

100

40+38

78

100

Kathy has 44 markers. She gets 25 more markers. How many markers does Kathy have in all? Use any strategy to solve. Show your work.


44 + 25 = 69

69 markers

200

Draw an open line to show 32+26

58

200

Which equation shows a way to use compensation to find the sum of 23 + 19?

a. 20 + 20 = 40

b. 21 + 21 = 42

c. 22 + 20 = 42

d. 23 + 20 = 43

b. 22 + 20 = 42

200

Break apart the second addend to solve 29+31

29+31

30+1=31 

29+30=59

59+1=60

200

20+24

44

200

Kevin has 27 cards.
He buys 65 cards.
How many cards does Kevin have now?

Break apart the second addend to solve. 

Show your work.


Break apart 65 into 

60 + 5. 

Add tens and ones: 27 + 60 = 87

87 + 3 = 90

90 + 2 = 92


92 cards

300

Draw an open line to show 65+20

85

300

Which is equal to 32 + 18? Choose all that apply.

a. 48

b. 30 + 20

c. 30 + 10 + 8

d. 40 + 10

☐ 40 + 8

b. 30 + 20

d. 40 + 10

300

Break apart the second addend to solve 22+44

22+44

40+4=44 

22+40=62 

62+4=66 

300

76+19

95

300

Carol has 27 books. Justin has 15 books. Will all of the books fit on a shelf that can hold 35 books? Use any strategy to solve. 

No, there are 42 books and only 35 can fit on the shelf. 

27 + 15 = 42 

42 is bigger than 35.

400

Draw an open line to show 47+10

57

400


Use compensation to find the sum.

28 + 14 + 5 = ?

a. 37

b. 45

c. 47

d. 49

c. 47 

400

Break apart the second addend to solve 23+39

23+39

30+9=39 

23+30=53 

53+9=62 

400

23+26

49

400

Abe has 33 pens. Marcy has 57 more pens than Abe. How many pens does Marcy have? Use any strategy to solve. Show your work and explain your thinking. 


33 + 57 = ?

Break apart 57 into 50 + 7

33 + 50 = 83

83 + 7 = 90

I can add 33 + 57 by breaking apart 57 into 50 + 7. Then add 33 + 50 = 83. Finally, I can add 83 + 7 = 90. Marcy has 90 pens. 

500

Draw an open line to show 45+44

89

500

Which have a sum of 71? Choose all that apply. 

    a. 33 + 28

    b. 29 + 42

    c. 55 + 42

    d. 42 + 29

    e. 20 + 51

  b. 29 + 42

  d. 42 + 29

   e. 20 + 51

500

Break apart the second addend to solve 12+61

12+61

60+1=61 

12+60=72 

72+1=73 

500

43+18

61

500

Gail has 57 pennies. She
gets 18 more pennies
from Cara. How many
pennies does Gail
have now? Use any strategy to solve.



57 + 18 = 75

75 pennies 

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