Grade 5 Sprint 3

GRADE 5 BOOK OF SPRINTS

New York State Common Core

Mathematics Curriculum

GRADE 5 • MODULE 3 Addition and Subtraction of Fractions

Module Overview ........................................................................................................... i

Topic A: Equivalent Fractions .................................................................................. 3.A.1

Topic B: Fraction Addition and Subtraction: Making Like Units Pictorially ............ 3.B.1

Topic C: Fraction Addition and Subtraction: Making Like Units Numerically ......... 3.C.1

Topic D: Fraction Addition and Subtraction: Further Applications......................... 3.D.1

Supplemental Materials

Module Assessments ...............................................................................................3.S.1

Lesson 1 Sprint NYS COMMON CORE MATHEMATICS CURRICULUM 5

Lesson 1: Making Equivalent Fractions with the Number Line, Area Model, and with Numbers

Date: 11/28/12

3.A.10

© 2012 Common Core, Inc. All rights reserved. commoncore.org

1 10 = 5 x ___ 23 28 = 7 x___

2 10 = 2 x ___ 24 28 = 2 x 2 x ___

3 8 = 4 x ___ 25 28 = 2 x ___ x 2

4 9 = 3 x ___ 26 28 = ___ x 2 x 2

5 6 = 2 x ___ 27 36 = 3 x 3 x ___

6 6 = 3 x ___ 28 9 x 4 = 3 x 3 x ___

7 12 = 6 x ___ 29 9 x 4 = 6 x ___

8 12 = 3 x ___ 30 9 x 4 = 3 x 2 x ___

9 12 = 4 x ___ 31 8 x 6 = 4 x ___ x 2

10 12 = 2 x 2 x ___ 32 9 x 9 = 3 x ___ x 3

11 12 = 3 x 2 x ___ 33 8 x 8 = ___ x 8

12 20 = 5 x 2 x ___ 34 7 x 7 = ___ x 7

13 20 = 5 x 2 x ___ 35 8 x 3 = ___ x 6

14 16 = 8 x ___ 36 16 x 2 = ___ x 4

15 16 = 4 x 2 x ___ 37 2 x 18 = ___ x 9

16 24 = 8 x ___ 38 28 x 2 = ___ x 8

17 24 = 4 x 2 x ___ 39 24 x 3 = ___ x 9

18 24 = 4 x ___ x 2 40 6 x 8 = ___ x 12

19 24 = 3 x 2 x ___ 41 27 x 3 = ___ x 9

20 24 = 3 x ___ x 2 42 12 x 6 = ___ x 8

21 6 x 4 = 8 x ___ 43 54 x 2 = ___ x 12

22 6 x 4 = 4 x 2 x ___ 44 9 x 13 = ___ x 39

A # Correct________ Write the missing factor.

1


Lesson 1: Making Equivalent Fractions with the Number Line, Area Model, and with Numbers

Date: 11/28/12

3.A.11


1 6 = 2 x ___ 23 28 = 4 x ___

2 6 = 3 x ___ 24 28 = 2 x 2 x ___

3 9 = 3 x ___ 25 28 = 2 x ___ x 2

4 8 = 4 x ___ 26 28 = ___ x 2 x 2

5 10 = 5 x ___ 27 36 = 2 x 2 x ___

6 10 = 2 x ___ 28 9 x 4 = 2 x 2 x ___

7 20 = 10 x ___ 29 9 x 4 = 6 x ___

8 20 = 5 x 2 x ___ 30 9 x 4 = 2 x 3 x + ___

9 12 = 6 x ___ 31 8 x 6 = 4 x ___ x 2

10 12 = 3 x ___ 32 8 x 8 = 4 x ___ x 2

11 12 = 4 x ___ 33 9 x 9 = ___ x 9

12 12 = 2 x 2 x ___ 34 6 x 6 = ___ x 6

13 12 = 3 x 2 x ___ 35 6 x 4 = ___x 8

14 24 = 8 x ___ 36 16 x 2 = ___ x 8

15 24 = 4 x 2 x ___ 37 2 x 18 = ___ x 4

16 24 = 4 x ___ x 2 38 28 x 2 = ___ x 7

17 24 = 3 x 2 x ___ 39 24 x 3 = ___ x 8

18 24 = 3 x ___ x 2 40 8 x 6 = ___ x 4

19 16 = 8 x ___ 41 12 x 6 = ___ x 9

20 16 = 4 x 2 x ___ 42 27 x 3 = ___ x 9

21 8 x 2 = 4 x ___ 43 54 x 2 = ___ x 9

22 8 x 2 = 2 x 2 x ___ 44 8 x 13 = ___ x 26

B Improvement______# Correct_______ Write the missing factor.

2


Lesson 2: Making Equivalent Fractions with Sums of Fractions with Like Denominators

Date: 11/28/12

3.A.24


3


Lesson 2: Making Equivalent Fractions with Sums of Fractions with Like Denominators

Date: 11/28/12

3.A.25

© 2012 Common Core, Inc. All rights reserved. commoncore.org 4

Lesson 3 SprintNYS COMMON CORE MATHEMATICS CURRICULUM 5

Lesson 3: Add Fractions with Unlike Units Using the Strategy of Creating Equivalent Fractions

Date: 11/28/12

3.B.12


5


Lesson 3: Add Fractions with Unlike Units Using the Strategy of Creating Equivalent Fractions

Date: 11/28/12

3.B.13


6

Lesson 5: Subtract Fractions with Unlike Units Using the Strategy of Creating Equivalent Fractions

Date: 11/28/12

3.B.38



7


Lesson 5: Subtract Fractions with Unlike Units Using the Strategy of Creating Equivalent Fractions

Date: 11/28/12

3.B.39



Lesson 6: Subtract Fractions fron Numbers Between One and TwoDate: 11/28/12 3.B.52


9


Lesson 6: Subtract Fractions fron Numbers Between One and TwoDate: 11/28/12 3.B.53


10


Lesson 7: Solve Two‐Step Word Problems Date: 11/28/12 3.B.65


A # Correct _______

! "#$%%"&' ( $) *+, "

Circle the equivalent fraction.

1 2

4 1

2

1

3 23

9

27 2

3

1

3

1

4

2 2

6 1

2

1

3 24

9

63 1

6

1

7

1

8

3 2

8 1

2

1

4 25

8

12 2

3

3

4

4

5

4 5

10 1

2

1

4 26

8

16 1

2

1

3

1

4

5 5

15 1

2

1

3 27

8

24 1

2

1

3

1

4

6 5

20 1

2

1

4 28

8

64 1

7

1

8

1

9

7 4

8 1

2

1

4 29

12

18 3

4

5

6

2

3

8 4

12 1

2

1

3 30

12

16 3

4

5

6

2

3

9 4

16 1

2

1

4 31

9

12 3

4

5

6

2

3

10 3

6 1

2

1

3 32

6

8 3

4

5

6

2

3

11 3

9 1

2

1

3 33

10

12 3

4

5

6

2

3

12 3

12 1

2

1

4 34

15

18 3

4

5

6

2

3

13 4

6 2

3

1

3 35

8

10 3

4

4

5

2

3

14 6

12 2

3

1

2 36

16

20 3

4

4

5

2

3

15 6

18 2

3

1

3 37

12

15 3

4

4

5

2

3

16 6

30 1

5

1

3 38

18

27 3

4

4

5

2

3

17 6

9 2

3

1

3 39

27

36 3

4

4

5

2

3

18 7

14 1

2

1

3 40

32

40 3

4

4

5

2

3

19 7

21 1

2

1

3 41

45

54 3

4

4

5

5

6

20 7

42 1

6

1

7 42

24

36 3

4

4

5

2

3

21 8

12 2

3

3

4 43

60

72 3

4

5

6

2

3

22 9

18 1

2

1

3 44

48

60 3

4

4

5

5

6

11


Lesson 7: Solve Two‐Step Word Problems Date: 11/28/12 3.B.66


B Improvement ________ # Correct _______

! "#$%%"&' ( $) *+, "

Circle the equivalent fraction.

1 5

10 1

2

1

3 23

8

24 2

3

1

3

1

4

2 5

15 1

2

1

4 24

8

56 1

6

1

7

1

8

3 5

20 1

2

1

4 25

8

12 2

3

3

4

4

5

4 2

4 1

2

1

3 26

9

18 1

2

1

3

1

4

5 2

6 1

2

1

4 27

9

27 1

2

1

3

1

4

6 2

8 1

2

1

4 28

9

72 1

7

1

8

1

9

7 3

6 1

2

1

3 29

12

18 3

4

5

6

2

3

8 3

9 1

2

1

4 30

6

8 3

4

5

6

2

3

9 3

12 1

2

1

3 31

9

12 3

4

5

6

2

3

10 4

8 1

2

1

3 32

12

16 3

4

5

6

2

3

11 4

12 1

2

1

4 33

8

10 3

4

4

5

2

3

12 4

16 2

3

1

3 34

16

20 3

4

4

5

2

3

13 4

6 2

3

1

2 35

12

15 3

4

4

5

2

3

14 7

14 2

3

1

3 36

10

12 3

4

4

5

5

6

15 7

21 1

5

1

3 37

15

18 3

4

5

6

2

3

16 7

35 2

3

1

3 38

16

24 3

4

4

5

2

3

17 6

9 1

2

1

3 39

24

32 3

4

4

5

2

3

18 6

12 1

2

1

3 40

36

45 3

4

4

5

2

3

19 6

18 1

6

1

7 41

40

48 3

4

4

5

5

6

20 6

36 2

3

3

4 42

24

36 3

4

4

5

2

3

21 8

12 1

2

1

3 43

48

60 3

4

5

6

4

5

22 8

16

1

2

1

3 44

60

72 3

4

5

6

2

3

12

Lesson 9: Add Fractions Making Like Units Numerically Date: 11/28/12 3.C.26


Lesson 9 SprintNYS COMMON CORE MATHEMATICS CURRICULUM 5•3

13

Lesson 9: Add Fractions Making Like Units Numerically Date: 11/28/12 3.C.27



14


Lesson 10: Add Fractions with Sums Greater than Two

Date: 11/28/12 3.C.41


15


Lesson 10: Add Fractions with Sums Greater than Two

Date: 11/28/12 3.C.42



Lesson 12: Subtract Fractions Greater Than or Equal to One Date: 11/28/12 3.C.68


17


Lesson 12: Subtract Fractions Greater Than or Equal to One Date: 11/28/12 3.C.69


18

Lesson

Lesson 14: Strategize to Solve Multi‐Term ProblemsDate: 11/28/12 3.D.24


New York State Common Core


19


Lesson 14: Strategize to Solve Multi‐Term ProblemsDate: 11/28/12 3.D.25


20

Lesson 15: Solve Multi‐Step Word Problems: Assess Reasonableness of Solutions Using Benchmark Numbers

Date: 11/28/12

3.D.37



21

Lesson 15: Solve Multi‐Step Word Problems: Assess Reasonableness of Solutions Using Benchmark Numbers

Date: 11/28/12

3.D.38



22

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Grade 5 Sprint 3

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