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GRADE 4 • MODULE 6 - Amazon Web Services · PDF fileGRADE 4 • MODULE 6 Module 6: Decimal Fractions ... Answer Key GRADE 4 • MODULE 6 Decimal ... (3 × 1) + (7 × 0.1) =....

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  • 4 GR A D E

    New York State Common Core

    Mathematics Curriculum

    GRADE 4 MODULE 6

    Module 6: Decimal Fractions Date: 11/19/14

    2014 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

    Answer Key

    GRADE 4 MODULE 6 Decimal Fractions

    http://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_UShttp://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_UShttp://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_US

  • Module 6: Decimal Fractions Date: 11/16/14

    2014 Common Core, Inc. Some rights reserved. commoncore.org

    This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

    1

    Lesson 1 Answer Key NYS COMMON CORE MATHEMATICS CURRICULUM 46

    Lesson 1

    Sprint

    Side A

    1. 2 12. 12 23. 5 34. 200

    2. 3 13. 5 24. 85 35. 24

    3. 4 14. 15 25. 185 36. 240

    4. 8 15. 8 26. 7 37. 400

    5. 5 16. 18 27. 27 38. 69

    6. 9 17. 28 28. 427 39. 690

    7. 7 18. 38 29. 9 40. 900

    8. 6 19. 68 30. 59 41. 94

    9. 1 20. 64 31. 759 42. 528

    10. 10 21. 87 32. 12 43. 670

    11. 2 22. 43 33. 120 44. 700

    Side B

    1. 1 12. 13 23. 4 34. 300

    2. 2 13. 6 24. 84 35. 25

    3. 3 14. 16 25. 184 36. 250

    4. 7 15. 9 26. 8 37. 500

    5. 4 16. 19 27. 28 38. 74

    6. 8 17. 29 28. 428 39. 740

    7. 6 18. 39 29. 6 40. 400

    8. 5 19. 69 30. 56 41. 91

    9. 9 20. 65 31. 756 42. 582

    10. 10 21. 86 32. 13 43. 760

    11. 3 22. 42 33. 130 44. 600

    http://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_UShttp://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_UShttp://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_US

  • Module 6: Decimal Fractions Date: 11/16/14

    2014 Common Core, Inc. Some rights reserved. commoncore.org

    This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

    2

    Lesson 1 Answer Key NYS COMMON CORE MATHEMATICS CURRICULUM 46

    Problem Set

    1. First 7 units shaded; 0.1, 0.2, 0.3, , 0.9; 4. 5

    10 ; 0.5; 0.5 or

    5

    10

    1

    10 ,

    2

    10 ,

    3

    10 , ,

    9

    10; 0.7 circled 5. a.

    2

    10 ; 0.2

    2. 610

    = 0.6; 8

    10 = 0.8;

    9

    10 ; b.

    8

    10 ; 0.8

    third container 9

    10 shaded c.

    4

    10 ; 0.4

    3. 410

    ; 0.8; 2

    10 6. Lines drawn to matching values

    Exit Ticket

    1. a. 1

    10 ; 0.1

    b. 6

    10 ; 0.6

    2. Lines drawn to matching values

    Homework

    1. First 4 units shaded; 0.2, 0.3, , 0.9; 4. 5

    10 ; 0.5; 1

    2

    10 ,

    3

    10 , ,

    9

    10 ; 0.4 circled 5. a.

    6

    10 ; 0.6

    2. 710

    = 0.7; 8

    10 = 0.8;

    3

    10 = 0.3; b.

    7

    10 ; 0.7

    third container 3

    10 shaded c.

    2

    10 ; 0.2

    3. 710

    ; 0.6 6. Lines drawn to matching values

    http://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_UShttp://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_UShttp://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_US

  • Module 6: Decimal Fractions Date: 11/16/14

    2014 Common Core, Inc. Some rights reserved. commoncore.org

    This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

    3

    Lesson 2 Answer Key NYS COMMON CORE MATHEMATICS CURRICULUM 46

    Lesson 2

    Problem Set

    1. Line segments drawn to given lengths 2. Models shaded appropriately

    a. 2.6 cm = 2 6

    10 cm a. 2.6

    b. 3.4 cm = 3 4

    10 cm b. 4.2; 4 +

    2

    10 = 4 + 0.2 = 4.2

    c. 3.7 cm = 3 7

    10 cm c. 3.4; 3 +

    4

    10 = 3 + 0.4 = 3.4

    d. 4.2 cm = 4 2

    10 cm d. 2.5; 2 +

    5

    10 = 2 + 0.5 = 2.5; 2.5

    e. 2.5 cm = 2 5

    10 cm e. 3.7; 3 +

    7

    10 = 3 + 0.7 = 3.7; 1.3

    Exit Ticket

    1. Line segment drawn to given length; 4 8

    10 cm

    2. a. 3.7, 3 7

    10 ; models shaded appropriately

    b. 2.4, 2 4

    10 ; models shaded appropriately; 2.6

    Homework

    1. Line segments drawn to given lengths 2. Models shaded appropriately

    a. 2 6

    10 cm a. 2.4

    b. 3 5

    10 cm b. 3.8; 3 +

    8

    10 = 3 + 0.8 = 3.8

    c. 1 7

    10 cm c. 4.1; 4 +

    1

    10 = 4 + 0.1 = 4.1

    d. 4 3

    10 cm d. 1.4; 1 +

    4

    10 = 1 + 0.4 = 1.4; 3.6

    e. 2 2

    10 cm e. 3.3; 3 +

    3

    10 = 3 + 0.3 = 3.3; 1.7

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  • Module 6: Decimal Fractions Date: 11/16/14

    2014 Common Core, Inc. Some rights reserved. commoncore.org

    This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

    4

    Lesson 3 Answer Key NYS COMMON CORE MATHEMATICS CURRICULUM 46

    Lesson 3

    Problem Set

    1. a. 28; 2 ones and 8 tenths disks drawn; 2.8; 0.2

    b. 33; 3 ones and 3 tenths disks drawn; 3.3; 0.7

    2. a. Answer provided.

    b. Disks drawn appropriately

    (1 10) + (7 1) + (5 1

    10) = 17

    5

    10

    (1 10) + (7 1) + (5 0.1) = 17.5

    c. Disks drawn appropriately

    (2 10) + (3 1) + (2 2

    10) = 23

    2

    10

    (2 10) + (3 1) + 0.2) = 23.2

    d. Disks drawn appropriately

    (7 10) + (4 1) + (7 1

    10) = 74

    7

    10

    (7 10) + (4 1) + (7 0.1) = 74.7

    3. a. 3.9 plotted with endpoints 3 and 4; 3.9; (3 1) + (9 0.1) or (3 1) + (9 1

    10)

    b. 17.5; 175

    10 ; (1 10) + (7 1) + (5

    1

    10) or (1 10) + (7 1) + (5 0.1); 0.5

    c. 74.7 plotted with endpoints 74 and 75; 74.7; 747

    10; 0.3

    d. 22.2 plotted with endpoints 21 and 22; 22.2; (2 10) + (2 1) + (2 0.1) or

    (2 10) + (2 1) + (2 1

    10); 0.8

    e. 80.8 plotted with endpoints 80 and 81; 80.8; 808

    10; 0.2

    Exit Ticket

    1. 18; 1 one 8 tenths disks drawn; 1.8; 0.2

    2. a. 12.9 plotted with endpoints 12 and 13; 12.9; (1 10) + (2 1) + (9 1

    10) or

    (1 10) + (2 1) + (9 0.1); 0.1

    b. 70.7 plotted with endpoints 70 and 71; 707

    10 ; (7 10) + (7

    1

    10) or (7 10) + (7 0.1); 0.3

    http://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_UShttp://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_UShttp://creativecommons.org/licenses/by-nc-sa/3.0/deed.en_US

  • Module 6: Decimal Fractions Date: 11/16/14

    2014 Common Core, Inc. Some rights reserved. commoncore.org

    This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

    5

    Lesson 3 Answer Key NYS COMMON CORE MATHEMATICS CURRICULUM 46

    Homework

    1. a. 14; 1 one and 4 tenths disks drawn; 1.4; 0.6

    b. 25; 2 ones and 5 tenths disks drawn; 2.5; 0.5

    2. a. Answer provided.

    b. Disks drawn appropriately

    (5 10)+ (3 1) + (7 1

    10) = 53

    7

    10 ; (5 10) + (3 1) + (7 0.1) = 53.7

    c. Disks drawn appropriately

    (3 10)+ (2 1) + (3 1

    10) = 32

    3

    10 ; (3 10) + (2 1) + (3 0.1) = 32.3

    d. Disks drawn appropriately

    (8 10)+ (4 1) + (8 1

    10) = 84

    8

    10 ; (8 10) + (4 1) + (8 0.1) = 84.8

    3. a. 4.6 plotted with endpoints 4 and 5; 4.6; (4 1) + (6 1

    10) or (4 1) + (6 0.1); 0.4

    b. 24.5, 245

    10 ; (2 10) + (4 1) + (5

    1

    10) or (2 10) + (4 1) + (5 0.1); 0.5

    c. 63.6 plotted with endpoints 63 and 64; 63.6; 636

    10 ; 0.4

    d. 71.3 plotted with endpoints 71 and 72; 71.3; (7 10)+ (1 1) + (3 1

    10) or

    (7 10)+ (1 1) + (3 0.1); 0.7

    e. 90.9 plotted with endpoints 90 and 91; 90.9; 909

    10; 0.1

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  • Module 6: Decimal Fractions Date: 11/16/14

    2014 Common Core, Inc. Some rights reserved. commoncore.org

    This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

    6

    Lesson 4 Answer Key NYS COMMON CORE MATHEMATICS CURRICULUM 46

    Lesson 4

    Sprint

    Side A

    1. 0.2 12. 8 23. 10 34. 4.3

    2. 0.3 13. 0.7 24. 20 35. 2

    3. 0.4 14. 4 25. 50 36. 18

    4. 0.8 15. 0.9 26. 40 37. 3.4

    5. 0.6 16. 1 27. 41 38. 5

    6. 1 17. 1.1 28. 42 39. 47

    7. 2 18. 1.2 29. 46 40. 2.8

    8. 3 19. 1.5 30. 26 41. 3

    9. 7 20. 2.5 31. 36 42. 32

    10. 5 21. 4.5 32. 34 43. 2

    11. 0.5 22. 3.8 33. 23 44. 21

    Side B

    1. 0.1 12. 9 23. 10 34. 3.4

    2. 0.2 13. 0.6 24. 20 35. 5.0

    3. 0.3 14. 5 25. 40 36. 17

    4. 0.7 15. 0.9 26. 30 37. 4.3

    5. 0.5 16. 1 27. 31 38. 2

    6. 2 17. 1.1 28. 32 39. 46

    7. 3 18. 1.2 29. 36 40. 2.4

    8. 4 19. 1.7 30. 16 41. 4

    9. 8 20. 2.7 31. 26 42. 23

    10. 6 21. 4.7 32. 42 43. 3

    11. 0.4 22. 3.4 33. 25 44. 41

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