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10 9 8 7 6 5 4 3 2 1
Eureka Math™
Grade 5, Module 3
Student File_BContains Sprint and Fluency, Exit Ticket,
and Assessment Materials
Published by the non-profit Great Minds.
Copyright © 2015 Great Minds. All rights reserved. No part of this work may be reproduced or used in any form or by any means — graphic, electronic, or mechanical, including photocopying or information storage and retrieval systems — without written permission from the copyright holder. “Great Minds” and “Eureka Math” are registered trademarks of Great Minds.
Printed in the U.S.A. This book may be purchased from the publisher at eureka-math.org
A Story of Units®
Sprint and Fluency Packet
Lesson 1 Sprint 5 3
Lesson 1: Make equivalent fractions with the number line, the area model, and numbers.
Write the Missing Factor
1. 10 = 5 × 23. 28 = 7 ×
2. 10 = 2 × 24. 28 = 2 × 2 ×
3. 8 = 4 × 25. 28 = 2 × × 2
4. 9 = 3 × 26. 28 = × 2 × 2
5. 6 = 2 × 27. 36 = 3 × 3 ×
6. 6 = 3 × 28. 9 × 4 = 3 × 3 ×
7. 12 = 6 × 29. 9 × 4 = 6 ×
8. 12 = 3 × 30. 9 × 4 = 3 × 2 ×
9. 12 = 4 × 31. 8 × 6 = 4 × × 2
10. 12 = 2 × 2 × 32. 9 × 9 = 3 × × 3
11. 12 = 3 × 2 × 33. 8 × 8 = × 8
12. 20 = 5 × 2 × 34. 7 × 7 = × 7
13. 20 = 5 × 2 × 35. 8 × 3 = × 6
14. 16 = 8 × 36. 16 × 2 = × 4
15. 16 = 4 × 2 × 37. 2 × 18 = × 9
16. 24 = 8 × 38. 28 × 2 = × 8
17. 24 = 4 × 2 × 39. 24 × 3 = × 9
18. 24 = 4 × × 2 40. 6 × 8 = × 12
19. 24 = 3 × 2 × 41. 27 × 3 = × 9
20. 24 = 3 × × 2 42. 12 × 6 = × 8
21. 6 × 4 = 8 × 43. 54 × 2 = × 12
22. 6 × 4 = 4 × 2 × 44. 9 × 13 = × 39
A Number Correct:
A STORY OF UNITS
1
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 1: Make equivalent fractions with the number line, the area model, and numbers.
Lesson 1 Sprint 5 3
Write the Missing Factor
1. 6 = 2 × _ 23. 28 = 4 ×
2. 6 = 3 × _ 24. 28 = 2 × 2 ×
3. 9 = 3 × _ 25. 28 = 2 × × 2
4. 8 = 4 × _ 26. 28 = × 2 × 2
5. 10 = 5 × 27. 36 = 2 × 2 ×
6. 10 = 2 × 28. 9 × 4 = 2 × 2 ×
7. 20 = 10 × 29. 9 × 4 = 6 ×
8. 20 = 5 × 2 × 30. 9 × 4 = 2 × 3 ×
9. 12 = 6 × 31. 8 × 6 = 4 × × 2
10. 12 = 3 × 32. 8 × 8 = 4 × × 2
11. 12 = 4 × 33. 9 × 9 = × 9
12. 12 = 2 × 2 × 34. 6 × 6 = × 6
13. 12 = 3 × 2 × 35. 6 × 4 = × 8
14. 24 = 8 × 36. 16 × 2 = × 8
15. 24 = 4 × 2 × 37. 2 × 18 = × 4
16. 24 = 4 × × 2 38. 28 × 2 = × 7
17. 24 = 3 × 2 × 39. 24 × 3 = × 8
18. 24 = 3 × × 2 40. 8 × 6 = × 4
19. 16 = 8 × 41. 12 × 6 = × 9
20. 16 = 4 × 2 × 42. 27 × 3 = × 9
21. 8 × 2 = 4 × 43. 54 × 2 = × 9
22. 8 × 2 = 2 × 2 × _ 44. 8 × 13 = × 26
B Number Correct:
Improvement: _______
A STORY OF UNITS
2
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 2: Make equivalent fractions with sums of fractions with like denominators.
Lesson 2 Sprint 5 3
Find the Missing Numerator or Denominator
1. 12
= 4
23. 13
= 12
2. 15
= 2
24. 23
= 12
3. 25
= 10
25. 812
= 3
4. 35
= 10
26. 1216
= 3
5. 45
= 10
27. 35
= 25
6. 13
= 2
28. 45
= 28
7. 23
= 6
29. 1824
= 3
8. 13
= 3
30. 2430
= 5
9. 23
= 9
31. 56
= 35
10. 14
= 8
32. 5663
= 9
11. 34
= 8
33. 6472
= 8
12. 14
= 3
34. 58
= 64
13. 34
= 9
35. 56
= 45
14. 24
= 2
36. 4581
= 9
15. 26
= 1
37. 67
= 48
16. 2
10 =
1 38. 36
81 =
9
17. 4
10 =
5 39.
856
= 1
18. 8
10 =
5 40.
3563
= 5
19. 39
= 3
41. 16
= 12
20. 69
= 3
42. 37
= 36
21. 3
12 =
1 43.
4860
= 4
22. 9
12 =
4 44. 72
84 =
7
A Number Correct:
A STORY OF UNITS
3
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 2: Make equivalent fractions with sums of fractions with like denominators.
Lesson 2 Sprint 5 3
Find the Missing Numerator or Denominator
1. 15
= 2
23. 13
= 4
2. 25
= 10
24. 23
= 8
3. 35
= 10
25. 8
12 =
2
4. 45
= 10
26. 1216
= 4
5. 13
= 2
27. 35
= 15
6. 13
= 6
28. 45
= 35
7. 23
= 4
29. 1824
= 4
8. 13
= 9
30. 2430
= 4
9. 23
= 6
31. 56
= 42
10. 14
= 2
32. 5663
= 8
11. 34
= 6
33. 6472
= 9
12. 14
= 12
34. 58
= 40
13. 34
= 12
35. 56
= 54
14. 24
= 1
36. 4581
= 5
15. 26
= 3
37. 67
= 56
16. 2
10 =
5 38.
3681
= 4
17. 4
10 =
2 39. 8
56 =
7
18. 8
10 =
4 40. 35
63 =
9
19. 39
= 1
41. 16
= 72
20. 69
= 2
42. 37
= 84
21. 14
= 12
43. 4860
= 5
22. 9
12 =
3 44.
7284
= 6
B Number Correct:
Improvement: _______
A STORY OF UNITS
4
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 3: Add fractions with unlike units using the strategy of creating equivalent fractions.
5 Lesson 3 Sprint
Find the Missing Numerator or Denominator
1. 12
= 4
23. 1
3 =
12
2. 15
= 2
24. 2
3 =
12
3. 25
= 10
25. 8
12 =
3
4. 35
= 10
26.
1216
= 3
5. 45
= 10
27. 3
5 =
25
6. 13
= 2
28.
45
= 28
7. 23
= 6
29.
1824
= 3
8. 13
= 3
30. 24
30 =
5
9. 23
= 9
31.
56
= 35
10. 14
= 8
32. 56
63 =
9
11. 34
= 8
33.
6472
= 8
12. 14
= 3
34. 5
8 =
64
13. 34
= 9
35.
56
= 45
14. 24
= 2
36. 45
81 =
9
15. 26
= 1
37.
67
= 48
16. 2
10 =
1
38. 3681
= 9
17. 410
= 5
39.
856
= 1
18. 810
= 5
40.
3563
= 5
19. 39
= 3
41.
16
= 12
20. 69
= 3
42.
37
= 36
21. 3
12 =
1
43. 4860
= 4
22. 912
= 4
44. 72
84 =
7
A Number Correct:
A STORY OF UNITS
5
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 3: Add fractions with unlike units using the strategy of creating equivalent fractions.
5 Lesson 3 Sprint
Find the Missing Numerator or Denominator
1. 15
= 2
23.
13
= 4
2. 25
= 10
24.
23
= 8
3. 35
= 10
25.
812
= 2
4. 45
= 10
26. 12
16 =
4
5. 13
= 2
27.
35
= 15
6. 13
= 6
28. 4
5 =
35
7. 23
= 4
29. 18
24 =
4
8. 13
= 9
30.
2430
= 4
9. 23
= 6
31. 5
6 =
42
10. 14
= 2
32.
5663
= 8
11. 34
= 6
33. 64
72 =
9
12. 14
= 12
34.
58
= 40
13. 34
= 12
35. 5
6 =
54
14. 24
= 1
36.
4581
= 5
15. 26
= 3
37. 6
7 =
56
16. 2
10 =
5
38. 3681
= 4
17. 4
10 =
2
39. 856
= 7
18. 8
10 =
4
40. 3563
= 9
19. 39
= 1
41. 1
6 =
72
20. 69
= 2
42. 3
7 =
84
21. 14
= 12
43. 48
60 =
5
22. 9
12 =
3
44. 7284
= 6
B
Number Correct:
Improvement:
A STORY OF UNITS
6
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 5 Sprint 5 3
Subtracting Fractions from a Whole Number
1. 4 – 12
= 23. 3 – 18
=
2. 3 – 12
= 24. 3 – 38
=
3. 2 – 12
= 25. 3 – 58
=
4. 1 – 12
= 26. 3 – 78
=
5. 1 – 13
= 27. 2 – 78
=
6. 2 – 13
= 28. 4 – 17
=
7. 4 – 13
= 29. 3 – 67
=
8. 4 – 23
= 30. 2 – 37
=
9. 2 – 23
= 31. 4 – 47
=
10. 2 – 14
= 32. 3 – 57
=
11. 2 – 34
= 33. 4 – 34
=
12. 3 – 34
= 34. 2 – 58
=
13. 3 – 14
= 35. 3 – 310
=
14. 4 – 34
= 36. 4 – 25
=
15. 2 – 110
= 37. 4 – 37
=
16. 3 – 910
= 38. 3 – 710
=
17. 2 – 710
= 39. 3 – 510
=
18. 4 – 310
= 40. 4 – 28
=
19. 3 – 15
= 41. 2 – 912
=
20. 3 – 25
= 42. 4 – 212
=
21. 3 – 45
= 43. 3 – 26
=
22. 3 – 35
= 44. 2 – 812
=
A Number Correct:
Lesson 5: Subtract fractions with unlike units using the strategy of creating equivalent fractions.
A STORY OF UNITS
7
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Subtracting Fractions from a Whole Number
1. 1 – 12
= 23. 2 – 18
=
2. 2 – 12
= 24. 2 – 38
=
3. 3 – 12
= 25. 2 – 58
=
4. 4 – 12
= 26. 2 – 78
=
5. 1 – 14
= 27. 4 – 78
=
6. 2 – 14
= 28. 3 – 17
=
7. 4 – 14
= 29. 2 – 67
=
8. 4 – 34
= 30. 4 – 37
=
9. 2 – 34
= 31. 3 – 47
=
10. 2 – 13
= 32. 2 – 57
=
11. 2 – 23
= 33. 3 – 34
=
12. 3 – 23
= 34. 4 – 58
=
13. 3 – 13
= 35. 2 – 310
=
14. 4 – 23
= 36. 3 – 25
=
15. 3 – 110
= 37. 3 – 37
=
16. 2 – 910
= 38. 2 – 710
=
17. 4 – 710
= 39. 2 – 510
=
18. 3 – 310
= 40. 3 – 68
=
19. 2 – 15
= 41. 4 – 312
=
20. 2 – 25
= 42. 3 – 1012
=
21. 2 – 45
= 43. 2 – 46
=
22. 3 – 35
= 44. 4 – 412
=
B
Number Correct:
Improvement:
Lesson 5: Subtract fractions with unlike units using the strategy of creating equivalent fractions.
Lesson 5 Sprint 5 3
A STORY OF UNITS
8
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 7: Solve two-step word problems.
Lesson 7 Sprint 5 3
Circle the Equivalent Fraction
1. 24� = 1
2� 13� 23. 9
27� = 23� 1
3� 14�
2. 26� = 1
2� 13� 24. 9
63� = 16� 1
7� 18�
3. 28� = 1
2� 14� 25. 8
12� = 23� 3
4� 45�
4. 510� = 1
2� 14� 26. 8
16� = 12� 1
3� 14�
5. 515� = 1
2� 13� 27. 8
24� = 12� 1
3� 14�
6. 520� = 1
2� 14� 28. 8
64� = 17� 1
8� 19�
7. 48� = 1
2� 14� 29. 12
18� = 34� 5
6� 23�
8. 412� = 1
2� 13� 30. 12
16� = 34� 5
6� 23�
9. 416� = 1
2� 14� 31. 9
12� = 34� 5
6� 23�
10. 36� = 1
2� 13� 32. 6
8� = 34� 5
6� 23�
11. 39� = 1
2� 13� 33. 10
12� = 34� 5
6� 23�
12. 312� = 1
2� 14� 34. 15
18� = 34� 5
6� 23�
13. 46� = 2
3� 13� 35. 8
10� = 34� 4
5� 23�
14. 612� = 2
3� 12� 36. 16
20� = 34� 4
5� 23�
15. 618� = 2
3� 13� 37. 12
15� = 34� 4
5� 23�
16. 630� = 1
5� 13� 38. 18
27� = 34� 4
5� 23�
17. 69� = 2
3� 13� 39. 27
36� = 34� 4
5� 23�
18. 714� = 1
2� 13� 40. 32
40� = 34� 4
5� 23�
19. 721� = 1
2� 13� 41. 45
54� = 34� 4
5� 56�
20. 742� = 1
6� 17� 42. 24
36� = 34� 4
5� 23�
21. 812� = 2
3� 34� 43. 60
72� = 34� 5
6� 23�
22. 918� = 1
2� 13� 44. 48
60� = 34� 4
5� 56�
A Number Correct:
A STORY OF UNITS
10
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 7: Solve two-step word problems.
Lesson 7 Sprint 5 3
Circle the Equivalent Fraction
1. 510� = 1
2� 13� 23. 8
24� = 23� 1
3� 14�
2. 515� = 1
2� 13� 24. 8
56� = 16� 1
7� 18�
3. 520� = 1
2� 14� 25. 8
12� = 23� 3
4� 45�
4. 24� = 1
2� 13� 26. 9
18� = 12� 1
3� 14�
5. 26� = 1
2� 13� 27. 9
27� = 12� 1
3� 14�
6. 28� = 1
2� 14� 28. 9
72� = 17� 1
8� 19�
7. 36� = 1
2� 13� 29. 12
18� = 34� 5
6� 23�
8. 39� = 1
2� 13� 30. 6
8� = 34� 5
6� 23�
9. 312� = 1
4� 13� 31. 9
12� = 34� 5
6� 23�
10. 48� = 1
2� 13� 32. 12
16� = 34� 5
6� 23�
11. 412� = 1
2� 13� 33. 8
10� = 34� 4
5� 23�
12. 416� = 1
4� 13� 34. 16
20� = 34� 4
5� 23�
13. 46� = 2
3� 12� 35. 12
15� = 34� 4
5� 23�
14. 714� = 2
3� 12� 36. 10
12� = 34� 4
5� 56�
15. 721� = 1
5� 13� 37. 15
18� = 34� 5
6� 23�
16. 735� = 1
5� 13� 38. 16
24� = 34� 4
5� 23�
17. 69� = 2
3� 13� 39. 24
32� = 34� 4
5� 23�
18. 612� = 1
2� 13� 40. 36
45� = 34� 4
5� 23�
19. 618� = 1
6� 13� 41. 40
48� = 34� 4
5� 56�
20. 636� = 1
6� 13� 42. 24
36� = 34� 4
5� 23�
21. 812� = 2
3� 34� 43. 48
60� = 34� 5
6� 45�
22. 816� = 1
2� 13� 44. 60
72� = 34� 5
6� 23�
B Number Correct:
Improvement: _______
A STORY OF UNITS
11
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 9 Sprint 5 3
Lesson 9: Add fractions making like units numerically.
Add and Subtract Fractions with Like Units
1. 15
+ 15
= 23. 19
+ 19
+ 19
=
2. 1
10 +
510
= 24. 19
+ 39
+ 19
=
3. 1
10 +
710
= 25. 49
– 19
– 39
=
4. 25
+ 25
= 26. 14
+ 24
+ 14
=
5. 5
10 –
410
= 27. 18
+ 38
+ 28
=
6. 35
– 15
= 28. 5
12 +
112
+ 5
12 =
7. 3
10 +
310
= 29. 29
+ 39
+ 29
=
8. 45
– 15
= 30. 3
10 –
310
+ 3
10 =
9. 14
+ 14
= 31. 35
– 15
– 15
=
10. 14
+ 24
= 32. 16
+ 26
=
11. 3
12 –
212
= 33. 3
12 +
412
=
12. 14
+ 34
= 34. 3
12 +
612
=
13. 1
12 +
112
= 35. 48
+ 28
=
14. 13
+ 13
= 36. 4
12 +
112
=
15. 3
12 –
212
= 37. 15
+ 35
=
16. 5
12 +
612
= 38. 25
+ 25
=
17. 7
12 +
412
= 39. 16
+ 26
=
18. 46
– 16
= 40. 5
12 –
312
=
19. 16
+ 26
= 41. 7
15 –
215
=
20. 16
+ 16
+ 16
= 42. 7
15 –
315
=
21. 13
+ 13
+ 13
= 43. 1115
– 2
15 =
22. 1
12 +
112
+ 1
12 = 44.
215
+ 4
15 =
A Number Correct:
A STORY OF UNITS
15
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 9 Sprint 5 3
Lesson 9: Add fractions making like units numerically.
Add and Subtract Fractions with Like Units
1. 12
+ 12
= 23. 1
12 +
612
+ 2
12 =
2. 28
+ 18
= 24. 4
12 +
312
+ 3
12 =
3. 28
+ 38
= 25. 8
12 –
412
– 4
12 =
4. 2
12 –
112
= 26. 1
10 +
210
+ 4
10 =
5. 5
12 +
212
= 27. 1
10 +
110
+ 6
10 =
6. 48
+ 38
= 28. 46
+ 16
+ 16
=
7. 48
– 38
= 29. 2
12 +
312
+ 4
12 =
8. 18
+ 58
= 30. 2
10 +
410
+ 4
10 =
9. 34
– 14
= 31. 3
10 +
110
+ 2
10 =
10. 36
– 36
= 32. 46
– 26
=
11. 39
+ 39
= 33. 3
12 –
212
=
12. 23
+ 13
= 34. 23
+ 13
=
13. 69
– 49
= 35. 24
+ 14
=
14. 59
– 39
= 36. 3
12 +
212
=
15. 29
+ 29
= 37. 15
+ 25
=
16. 1
12 +
312
= 38. 45
– 45
=
17. 5
12 –
412
= 39. 5
12 –
112
=
18. 9
12 –
612
= 40. 68
+ 28
=
19. 6
10 –
410
= 41. 28
+ 28
+ 28
=
20. 28
+ 28
+ 28
= 42. 9
10 –
710
– 1
10 =
21. 1
10 +
110
+ 1
10 = 43.
210
+ 5
10 +
210
=
22. 7
10 –
210
– 4
10 = 44.
912
– 1
12 –
412
=
B
Number Correct:
Improvement:
A STORY OF UNITS
16
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 10: Add fractions with sums greater than 2.
Lesson 10 Sprint 5
Add and Subtract Whole Numbers and Ones with Fraction Units
1. 3 + 1 = 23. 3 56
+ 7 =
2. 3 + 12
= 24. 7 56
+ 3 =
3. 3 12
+ 1 = 25. 10 56
– 3 =
4. 3 – 1 = 26. 10 56
– 7 =
5. 3 12
– 1 = 27. 3 + 45
+ 2 =
6. 4 – 2 = 28. 5 + 78
+ 4 =
7. 4 12
– 2 = 29. 7 + 45
– 2 =
8. 5 – 2 = 30. 9 + 512
– 5 =
9. 5 13
– 2 = 31. 7 + 15
+ 15
+ 2 =
10. 5 23
– 2 = 32. 7 + 25
+ 2 =
11. 5 23
+ 2 = 33. 7 + 25
+ 2 + 25
=
12. 6 + 2 = 34. 7 25
+ 2 25
=
13. 6 + 34
= 35. 6 + 13
+ 1 + 13
=
14. 6 34
+ 2 = 36. 6 13
+ 1 13
=
15. 6 34
– 2 = 37. 6 + 23
– 1 =
16. 6 34
– 3 = 38. 6 23
– 1 13
=
17. 6 34
– 4 = 39. 6 23
– 1 23
=
18. 6 34
– 6 = 40. 3 + 47
+ 1 + 27
=
19. 6 34
– 34
= 41. 3 47
+ 1 27
=
20. 2 56
+ 3 = 42. 7 45
– 2 35
=
21. 2 16
+ 3 = 43. 7 45
– 2 25
=
22. 2 56
+ 7 = 44. 13 79
– 7 59
=
A Number Correct:
A STORY OF UNITS
17
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org G5-M3-SaFP-1.3.0-05.2015
Lesson 10: Add fractions with sums greater than 2.
Lesson 10 Sprint 5
Add and Subtract Whole Numbers and Ones with Fraction Units
1. 2 + 1 = 23. 4 56
+ 6 =
2. 2 + 12
= 24. 6 56
+ 4 =
3. 2 12
+ 1 = 25. 10 56
– 4 =
4. 2 – 1 = 26. 10 56
– 6 =
5. 2 12
– 1 = 27. 4 + 45
+ 2 =
6. 5 – 2 = 28. 6 + 78
+ 3 =
7. 5 12
– 2 = 29. 6 + 45
– 2 =
8. 6 – 2 = 30. 9 + 512
– 4 =
9. 6 13
– 2 = 31. 6 + 15
+ 15
+ 2 =
10. 6 23
– 2 = 32. 6 + 25
+ 2 =
11. 6 23
+ 2 = 33. 6 + 25
+ 2 + 25
=
12. 7 + 2 = 34. 6 25
+ 2 25
=
13. 7 + 34
= 35. 5 + 13
+ 1 + 13
=
14. 7 34
+ 2 = 36. 5 13
+ 1 13
=
15. 7 34
– 2 = 37. 7 + 23
– 1 =
16. 7 34
– 3 = 38. 7 23
– 1 13
=
17. 7 34
– 4 = 39. 7 23
– 1 23
=
18. 7 34
– 7 = 40. 5 + 47
+ 1 + 27
=
19. 7 34
– 34
= 41. 5 47
+ 1 27
=
20. 3 56
+ 2 = 42. 6 + 45
– 2 35
=
21. 3 16
+ 2 = 43. 6 45
– 2 35
=
22. 3 56
+ 6 = 44. 13 79
– 6 59
=
B
Number Correct:
Improvement:
A STORY OF UNITS
18
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Subtract Fractions with Unlike Units
1. 24� – 1
4� = 23. 45� – 7
10� =
2. 12� – 1
4� = 24. 212� – 1
12� =
3. 26� – 1
6� = 25. 16� – 1
12� =
4. 13� – 1
6� = 26. 612� – 1
12� =
5. 28� – 1
8� = 27. 12� – 1
12� =
6. 14� – 1
8� = 28. 12� – 5
12� =
7. 68� – 1
8� = 29. 1012� – 5
12� =
8. 34� – 1
8� = 30. 56� – 5
12� =
9. 34� – 3
8� = 31. 13� – 3
12� =
10. 510� – 2
10� = 32. 23� – 1
12� =
11. 12� – 2
10� = 33. 23� – 3
12� =
12. 12� – 2
10� = 34. 23� – 7
12� =
13. 410� – 1
10� = 35. 14� – 2
12� =
14. 25� – 1
10� = 36. 15� – 1
15� =
15. 25� – 3
10� = 37. 13� – 1
15� =
16. 610� – 3
10� = 38. 23� – 3
15� =
17. 35� – 3
10� = 39. 25� – 4
15� =
18. 35� – 5
10� = 40. 34� – 2
12� =
19. 810� – 1
10� = 41. 34� – 5
16� =
20. 45� – 1
10� = 42. 45� – 5
15� =
21. 45� – 5
10� = 43. 34� – 4
12� =
22. 45� – 5
10� = 44. 34� – 7
16� =
A Number Correct:
Lesson 12: Subtract fractions greater than or equal to 1.
Lesson 12 Sprint 5 A STORY OF UNITS
19
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Subtract Fractions with Unlike Units
1. 210� – 1
10� = 23. 34� – 3
8� =
2. 15� – 1
10� = 24. 515� – 1
15� =
3. 24� – 1
4� = 25. 13� – 1
15� =
4. 12� – 1
4� = 26. 315� – 1
15� =
5. 510� – 2
10� = 27. 15� – 1
15� =
6. 12� – 2
10� = 28. 15� – 2
15� =
7. 12� – 4
10� = 29. 1215� – 4
15� =
8. 410� – 1
10� = 30. 45� – 4
15� =
9. 25� – 1
10� = 31. 14� – 2
12� =
10. 25� – 3
10� = 32. 34� – 2
12� =
11. 610� – 3
10� = 33. 34� – 4
12� =
12. 35� – 3
10� = 34. 34� – 8
12� =
13. 35� – 5
10� = 35. 13� – 3
12� =
14. 810� – 1
10� = 36. 16� – 1
12� =
15. 45� – 1
10� = 37. 13� – 3
15� =
16. 45� – 5
10� = 38. 23� – 2
15� =
17. 45� – 5
10� = 39. 25� – 2
15� =
18. 45� – 7
10� = 40. 34� – 4
12� =
19. 28� – 1
8� = 41. 34� – 7
16� =
20. 14� – 1
8� = 42. 45� – 4
15� =
21. 68� – 1
8� = 43. 34� – 2
12� =
22. 34� – 1
8� = 44. 34� – 5
16� =
B
Number Correct:
Improvement:
Lesson 12: Subtract fractions greater than or equal to 1.
Lesson 12 Sprint 5 3 A STORY OF UNITS
20
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Lesson 14: Strategize to solve multi-term problems.
Lesson 14 Sprint 5 3
Make Larger Units
1. 24� = 23. 9
27� =
2. 26� = 24. 9
63� =
3. 28� = 25. 8
12� =
4. 510� = 26. 8
16� =
5. 515� = 27. 8
24� =
6. 520� = 28. 8
64� =
7. 48� = 29. 12
18� =
8. 412� = 30. 12
16� =
9. 416� = 31. 9
12� =
10. 36� = 32. 6
8� =
11. 39� = 33. 10
12� =
12. 312� = 34. 15
18� =
13. 46� = 35. 8
10� =
14. 612� = 36. 16
20� =
15. 618� = 37. 12
15� =
16. 630� = 38. 18
27� =
17. 69� = 39. 27
36� =
18. 714� = 40. 32
40� =
19. 721� = 41. 45
54� =
20. 742� = 42. 24
36� =
21. 812� = 43. 60
72� =
22. 918� = 44. 48
60� =
A Number Correct:
A STORY OF UNITS
22
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Lesson 14: Strategize to solve multi-term problems.
Lesson 14 Sprint 5 3
Make Larger Units
1. 510� = 23. 8
24� =
2. 515� = 24. 8
56� =
3. 520� = 25. 8
12� =
4. 24� = 26. 9
18� =
5. 26� = 27. 9
27� =
6. 28� = 28. 9
72� =
7. 36� = 29. 12
18� =
8. 39� = 30. 6
8� =
9. 312� = 31. 9
12� =
10. 48� = 32. 12
16� =
11. 412� = 33. 8
10� =
12. 416� = 34. 16
20� =
13. 46� = 35. 12
15� =
14. 714� = 36. 10
12� =
15. 721� = 37. 15
18� =
16. 735� = 38. 16
24� =
17. 69� = 39. 24
32� =
18. 612� = 40. 36
45� =
19. 618� = 41. 40
48� =
20. 636� = 42. 24
36� =
21. 812� = 43. 48
60� =
22. 816� = 44. 60
72� =
B
Number Correct:
Improvement:
A STORY OF UNITS
23
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Circle the Smaller Fraction
1. 12� 1
4� 23. 14� 1
8�
2. 12� 3
4� 24. 14� 3
8�
3. 12� 5
8� 25. 14� 7
12�
4. 12� 7
8� 26. 14� 11
12�
5. 12� 1
10� 27. 16� 7
12�
6. 12� 3
10� 28. 16� 11
12�
7. 12� 5
12� 29. 23� 1
6�
8. 12� 11
12� 30. 23� 5
6�
9. 12� 7
10� 31. 23� 2
9�
10. 15� 9
10� 32. 23� 4
9�
11. 25� 1
10� 33. 23� 1
12�
12. 25� 3
10� 34. 23� 5
12�
13. 35� 3
10� 35. 23� 11
12�
14. 35� 7
10� 36. 23� 7
12�
15. 45� 1
10� 37. 34� 1
8�
16. 45� 9
10� 38. 34� 1
8�
17. 13� 1
9� 39. 56� 7
12�
18. 13� 2
9� 40. 56� 5
12�
19. 13� 4
9� 41. 67� 38
42�
20. 13� 8
9� 42. 78� 62
72�
21. 13� 1
12� 43. 4954� 8
9�
22. 13� 5
12� 44. 6772� 11
12�
A Number Correct:
Lesson 15: Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers.
Lesson 15 Sprint 5 3 A STORY OF UNITS
24
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Circle the Smaller Fraction
1. 12� 1
6� 23. 14� 5
8�
2. 12� 5
6� 24. 14� 7
8�
3. 12� 1
8� 25. 14� 1
12�
4. 12� 3
8� 26. 14� 5
12�
5. 12� 7
10� 27. 16� 1
12�
6. 12� 9
10� 28. 16� 5
12�
7. 12� 1
12� 29. 23� 1
9�
8. 12� 7
12� 30. 23� 7
9�
9. 15� 1
10� 31. 23� 5
9�
10. 15� 3
10� 32. 23� 8
9�
11. 25� 7
10� 33. 34� 1
2�
12. 25� 9
10� 34. 34� 5
12�
13. 35� 1
10� 35. 34� 11
12�
14. 35� 9
10� 36. 34� 7
12�
15. 45� 3
10� 37. 56� 1
12�
16. 45� 7
10� 38. 56� 11
12�
17. 13� 1
6� 39. 34� 5
8�
18. 13� 5
6� 40. 34� 3
8�
19. 13� 5
9� 41. 67� 34
42�
20. 13� 7
9� 42. 78� 64
72�
21. 13� 7
12� 43. 4754� 8
9�
22. 13� 11
12� 44. 6572� 11
12�
B
Number Correct:
Improvement:
Lesson 15: Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers.
Lesson 15 Sprint 5 3 A STORY OF UNITS
25
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Exit Ticket Packet
Lesson 1: Make equivalent fractions with the number line, the area model, and numbers.
Lesson 1 Exit Ticket 5•3
Name Date
Estimate to mark points 0 and 1 above the number line, and 06
, 16
, 26
, 36
, 46
, 56
, and 66 below it. Use the squares
below to represent fractions equivalent to 1 sixth using both arrays and equations.
16
= 1 × 26 × 2
= 212
1 1 1
A STORY OF UNITS
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1
Lesson 2: Make equivalent fractions with sums of fractions with like denominators.
Lesson 2 Exit Ticket 5 3
Name Date
1. Show each expression on a number line. Solve.
a. 55
+ 25 b. 6
3+ 2
3
2. Express each fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation. Show Part (b) on a number line.
a. 69 b. 15
4
A STORY OF UNITS
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2
Lesson 3 Exit Ticket 5 3
Lesson 3: Add fractions with unlike units using the strategy of creating equivalent fractions.
Name Date
Solve by drawing the rectangular fraction model.
1. 12
+ 15
=
2. In one hour, Ed used 25 of the time to complete his homework and 1
4 of the time to check his email.
How much time did he spend completing homework and checking email? Write your answer as a fraction. (Extension: Write the answer in minutes.)
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3
Lesson 4 Exit Ticket 5 3
Name Date
1. Draw a model to help solve 56
+ 14 . Write your answer as a mixed number.
2. Patrick drank 34 liter of water Monday before jogging. He drank 4
5 liter of water after his jog.
How much water did Patrick drink altogether? Write your answer as a mixed number.
Lesson 4: Add fractions with sums between 1 and 2.
A STORY OF UNITS
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4
Name Date
For the following problems, draw a picture using the rectangular fraction model and write the answer. Simplify your answer, if possible.
a. 12− 1
7= b. 3
5− 1
2=
Lesson 5: Subtract fractions with unlike units using the strategy of creating equivalent fractions.
Lesson 5 Exit Ticket 5 3 A STORY OF UNITS
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5
Lesson 6 Exit Ticket 5 3
Name Date
For the following problems, draw a picture using the rectangular fraction model and write the answer. Simplify your answer, if possible.
a. 1 15− 1
2= b. 1 1
3− 5
6=
Lesson 6: Subtract fractions from numbers between 1 and 2.
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6
Lesson 7: Solve two-step word problems.
Lesson 7 Exit Ticket 5 3
Name Date
Solve the word problem using the RDW strategy. Show all of your work.
Mr. Pham mowed 27 of his lawn. His son mowed 1
4 of it. Who mowed the most? How much of the lawn still
needs to be mowed?
A STORY OF UNITS
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7
Lesson 8 Exit Ticket 5•3
Name Date
Add or subtract.
a. 5 + 1 78
=
b. 3 − 1 34
=
c. 7 38
+ 4 =
d. 4 − 2 37
=
Lesson 8: Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies.
A STORY OF UNITS
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8
Lesson 9 Exit Ticket 5 3
Lesson 9: Add fractions making like units numerically.
Name Date
Make like units, and then add.
a. 16
+ 34
= b. 1 12
+ 25
=
A STORY OF UNITS
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9
Lesson 10: Add fractions with sums greater than 2.
Lesson 10 Exit Ticket 5
Name Date
Add.
1. 3 12
+ 1 13
= 2. 4 57
+ 3 34
=
A STORY OF UNITS
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10
Lesson 11: Subtract fractions making like units numerically.
Lesson 11 Exit Ticket 5 3
Name Date
Generate equivalent fractions to get like units. Then, subtract.
a. 34− 3
10=
b. 3 12− 1 1
3=
A STORY OF UNITS
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11
Name Date
Subtract.
1. 5 12− 1 1
3=
2. 8 34− 5 5
6=
Lesson 12: Subtract fractions greater than or equal to 1.
Lesson 12 Exit Ticket 5 3
A STORY OF UNITS
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12
Lesson 13 Exit Ticket 5 3
Lesson 13: Use fraction benchmark numbers to assess reasonableness of addition and subtraction equations.
Name Date
1. Circle the correct answer.
a. 12
+ 512
greater than 1 less than 1
b. 2 78− 1 7
9 greater than 1 less than 1
c. 1 112− 7
10 greater than 1
2 less than 1
2
d. 37
+ 18 greater than 1
2 less than 1
2
2. Use > , < , or = to make the following statement true.
4 45
+ 3 23
_______ 8 12
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13
Lesson 14: Strategize to solve multi-term problems.
Lesson 14 Exit Ticket 5 3
Name Date
Fill in the blank to make the statement true.
1. 1 34
+ 16
+ ________ = 7 12 2. 8 4
5− 2
3− ________ = 3 1
10
A STORY OF UNITS
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14
Name Date
Solve the word problem using the RDW strategy. Show all of your work.
Cheryl bought a sandwich for 5 12 dollars and a drink for $2.60. If she paid for her meal with a $10 bill, how
much money did she have left? Write your answer as a fraction and in dollars and cents.
Lesson 15: Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers.
Lesson 15 Exit Ticket 5 3 A STORY OF UNITS
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15
Name Date
Draw the following ribbons.
a. 1 ribbon. The piece shown below is only 23 of the whole. Complete the drawing to show the whole
ribbon.
b. 1 ribbon. The piece shown below is 14 of the whole. Complete the drawing to show the whole
ribbon.
c. 3 ribbons, A, B, and C. 1 third of A is the same length as B. C is half as long as B. Draw a picture of the ribbons.
Lesson 16: Explore part-to-whole relationships.
Lesson 16 Exit Ticket 5 3 A STORY OF UNITS
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16
Assessment Packet
Module 3: Addition and Subtraction of Fractions
Mid-Module Assessment Task 5 3
Name Date
1. Lila collected the honey from 3 of her beehives. From the first hive she collected 23 gallon of honey.
The last two hives yielded 14 gallon each.
a. How many gallons of honey did Lila collect in all? Draw a diagram to support your answer.
b. After using some of the honey she collected for baking, Lila found that she only had 34 gallon of honey
left. How much honey did she use for baking? Support your answer using a diagram, numbers, and words.
A STORY OF UNITS
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G5-M3-AP-1.3.0-05.2015
Module 3: Addition and Subtraction of Fractions
Mid-Module Assessment Task 5 3
c. With the remaining 34 gallon of honey, Lila decided to bake some loaves of bread and several batches
of cookies for her school bake sale. The bread needed 16 gallon of honey and the cookies needed
14
gallon. How much honey was left over? Support your answer using a diagram, numbers, and
words.
d. Lila decided to make more baked goods for the bake sale. She used 18
lb less flour to make bread
than to make cookies. She used 14
lb more flour to make cookies than to make brownies. If she used 12
lb of flour to make the bread, how much flour did she use to make the brownies? Explain your
answer using a diagram, numbers, and words.
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G5-M3-AP-1.3.0-05.2015
Module 3: Addition and Subtraction of Fractions
End-of-Module Assessment Task 5 3
Name Date
1. On Sunday, Sheldon bought 4 12
kg of plant food. He used 1 23
kg on his strawberry plants and used 14
kg for his tomato plants.
a. How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.
b. Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time.
He will use the same amounts of plant food as before. How much plant food will he need? Does he have enough left to do so? Explain your answer using words, pictures, or numbers.
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G5-M3-AP-1.3.0-05.2015
Module 3: Addition and Subtraction of Fractions
End-of-Module Assessment Task 5 3
2. Sheldon harvests the strawberries and tomatoes in his garden.
a. He picks 1 25
kg less strawberries in the morning than in the afternoon. If Sheldon picks 2 14
kg in the morning, how many kilograms of strawberries does he pick in the afternoon? Explain your answer using words, pictures, or equations.
b. Sheldon also picks tomatoes from his garden. He picked 5 310
kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten? Write an equation that shows how you reached your answer.
c. After throwing away the rotten tomatoes, did Sheldon get more kilograms of strawberries or tomatoes? How many more kilograms? Explain your answer using an equation.
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G5-M3-AP-1.3.0-05.2015