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Lesson 6 Problem Set

NYS COMMON CORE MATHEMATICS CURRICULUM

Name

Date

1. Complete the number sentence. Estimate to partition each strip equally, write the unit fraction inside each unit, and shade the answer. Sample: 2 thirds =

2 3

𝟏𝟏 𝟑𝟑

𝟏𝟏 𝟑𝟑

𝟏𝟏 𝟑𝟑

a. 3 fourths =

b. 3 sevenths =

c. 4 fifths =

d. 2 sixths =

2. Mr. Stevens bought 8 liters of soda for a party. His guests drank 1 liter. a. What fraction of the soda did his guests drink?

b. What fraction of the soda was left?

Lesson 6:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Build non-unit fractions less than one whole from unit fractions.

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

69


Lesson 6 Problem Set

NYS COMMON CORE MATHEMATICS CURRICULUM

3. Fill in the chart. Total Number of Equal Parts

Total Number of Shaded Equal Parts

Unit Fraction

Fraction Shaded

3

1 4

3 4

Sample:

4

a.

b.

c.

d.

e.

Lesson 6:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Build non-unit fractions less than one whole from unit fractions.

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

70


Lesson 6 Exit Ticket

NYS COMMON CORE MATHEMATICS CURRICULUM

Name

Date

1. Complete the number sentence. Estimate to partition the strip equally. Write the unit fraction inside each unit. Shade the answer. 2 fifths =

2. a. What fraction of the circle is shaded?

b. What fraction of the circle is not shaded?

3. Complete the chart. Total Number of Equal Parts

Lesson 6:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Total Number of Shaded Equal Parts

Unit Fraction

Fraction Shaded

Build non-unit fractions less than one whole from unit fractions.

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

71


Lesson 6 Homework

NYS COMMON CORE MATHEMATICS CURRICULUM

Name

Date

1. Complete the number sentence. Estimate to partition each strip equally, write the unit fraction inside each unit, and shade the answer. Sample: 3 fourths =

3 4

𝟏𝟏 𝟒𝟒

𝟏𝟏 𝟒𝟒

𝟏𝟏 𝟒𝟒

𝟏𝟏 𝟒𝟒

a. 2 thirds =

b. 5 sevenths =

c. 3 fifths =

d. 2 eighths =

2. Mr. Abney bought 6 kilograms of rice. He cooked 1 kilogram of it for dinner. a. What fraction of the rice did he cook for dinner?

b. What fraction of the rice was left?

Lesson 6:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Build non-unit fractions less than one whole from unit fractions.

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

72


Lesson 6 Homework

NYS COMMON CORE MATHEMATICS CURRICULUM

3. Fill in the chart. Total Number of Equal Parts

Total Number of Shaded Equal Parts

6

5

Unit Fraction

Fraction Shaded

1 6

5 6

Sample:

a.

b.

c.

d.

Lesson 6:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Build non-unit fractions less than one whole from unit fractions.

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

73


NYS COMMON CORE MATHEMATICS CURRICULUM

Name

Lesson 7 Problem Set

Date

Whisper the fraction of the shape that is shaded. Then, match the shape to the amount that is not shaded. 1.

 2 thirds 2.

 6 sevenths 3.

 4 fifths

4.

 8 ninths

5.

 1 half

6.

 5 sixths

7.

 7 eighths

8.

 3 fourths

Lesson 7:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Identify and represent shaded and non-shaded parts of one whole as fractions. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

80


Lesson 7 Problem Set

NYS COMMON CORE MATHEMATICS CURRICULUM

9. a. How many eighths are in 1 whole? _________________

b. How many ninths are in 1 whole? ___________________

c. How many twelfths are in 1 whole? ___________________

10. Each strip represents 1 whole. Write a fraction to label the shaded and unshaded parts.

11. Avanti read 1 sixth of her book. What fraction of the book has she not read yet?

Lesson 7:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Identify and represent shaded and non-shaded parts of one whole as fractions. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

81


NYS COMMON CORE MATHEMATICS CURRICULUM

Name

Lesson 7 Exit Ticket

Date

1. Write the fraction that is not shaded.

2. There are __________ sixths in 1 whole.

3. The fraction strip is 1 whole. Write fractions to label the shaded and unshaded parts.

9

4. Justin mows part of his lawn. Then, his lawnmower runs out of gas. He has not mowed of the lawn. 10 What part of his lawn is mowed?

Lesson 7:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Identify and represent shaded and non-shaded parts of one whole as fractions. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

82


NYS COMMON CORE MATHEMATICS CURRICULUM

Name

Lesson 7 Homework

Date

Whisper the fraction of the shape that is shaded. Then, match the shape to the amount that is not shaded. 1.

 9 tenths

2.

 4 fifths

3.

 10 elevenths

4.

 5 sixths

5.

 1 half 6.

 2 thirds 7.

 3 fourths 8.

 6 sevenths Lesson 7:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Identify and represent shaded and non-shaded parts of one whole as fractions. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

83


NYS COMMON CORE MATHEMATICS CURRICULUM

Lesson 7 Homework

9. Each strip represents 1 whole. Write a fraction to label the shaded and unshaded parts.

10. Carlia finished 1 fourth of her homework on Saturday. What fraction of her homework has she not finished? Draw and explain.

11. Jerome cooks 8 cups of oatmeal for his family. They eat 7 eighths of the oatmeal. What fraction of the oatmeal is uneaten? Draw and explain.

Lesson 7:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Identify and represent shaded and non-shaded parts of one whole as fractions. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

84


NYS COMMON CORE MATHEMATICS CURRICULUM

Name

Lesson 8 Problem Set 3

Date

Show a number bond representing what is shaded and unshaded in each of the figures. Draw a different visual model that would be represented by the same number bond. Sample:

1.

2.

3.

4.

Lesson 8:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Represent parts of one whole as fractions with number bonds.

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

92


Lesson 8 Problem Set 3

NYS COMMON CORE MATHEMATICS CURRICULUM

5. Draw a number bond with 2 parts showing the shaded and unshaded fractions of each figure. Decompose both parts of the number bond into unit fractions. b.

a.

c.

d.

1

6. The chef put of the ground beef on the grill to make one hamburger and put the rest in the refrigerator. 4 Draw a 2-part number bond showing the fraction of the ground beef on the grill and the fraction in the refrigerator. Draw a visual model of all the ground beef. Shade what is in the refrigerator.

a. What fraction of the ground beef was in the refrigerator?

b. How many more hamburgers can the chef make if he makes them all the same size as the first one?

c. Show the refrigerated ground beef broken into unit fractions on your number bond above.

Lesson 8:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Represent parts of one whole as fractions with number bonds.

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

93


NYS COMMON CORE MATHEMATICS CURRICULUM

Name

Lesson 8 Exit Ticket 3

Date

1. Draw a number bond that shows the shaded and the unshaded parts of the shape below. Then, show each part decomposed into unit fractions.

2. Complete the number bond. Draw a shape that has shaded and unshaded parts that match the completed number bond.

1 2 7

Lesson 8:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Represent parts of one whole as fractions with number bonds.

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

94


NYS COMMON CORE MATHEMATICS CURRICULUM

Name

Lesson 8 Homework 3

Date

Show a number bond representing what is shaded and unshaded in each of the figures. Draw a different visual model that would be represented by the same number bond. Sample:

1.

2.

3.

4.

Lesson 8:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Represent parts of one whole as fractions with number bonds.

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

95


Lesson 8 Homework 3

NYS COMMON CORE MATHEMATICS CURRICULUM

5. Draw a number bond with 2 parts showing the shaded and unshaded fractions of each figure. Decompose both parts of the number bond into unit fractions. b.

a.

c.

1

6. Johnny made a square peanut butter and jelly sandwich. He ate of it and left the rest on his plate. Draw 3 a picture of Johnny’s sandwich. Shade the part he left on his plate, and then draw a number bond that matches what you drew. What fraction of his sandwich did Johnny leave on his plate?

Lesson 8:

© 2015 Great Minds. eureka-math.org G3-M5-TE-1.3.0-06.2015

Represent parts of one whole as fractions with number bonds.

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

96


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