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Lesson 4

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Lesson 4:Interpreting and Computing Division of a Fraction by a
Fraction—More Models
Classwork
Opening Exercise
Write at least three equivalent fractions for each fraction below. Be sure to show how the two fractions are related.
a.

b.

Example 1
Molly purchased

cups of strawberries. She eats in a serving. How many servings did Molly purchase?

Use a model to prove your answer.

Lesson 4:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting and Computing Division of a Fraction by a Fraction—
More Models
12/5/13

S.17

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

17
Lesson 4

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Example 2
Now imagine that Molly’s friend Xavier purchased

cups of strawberries and that he eats cup servings. How many

servings has he purchased? Use a model to prove your answer.

Example 3
Find the quotient:

. Use a model to show your answer.

Lesson 4:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting and Computing Division of a Fraction by a Fraction—
More Models
12/5/13

S.18

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

18
Lesson 4

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Exercises 1–5
A model should be included in your solution.
1.

2.

3.

Lesson 4:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting and Computing Division of a Fraction by a Fraction—
More Models
12/5/13

S.19

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

19
Lesson 4

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

4.

5.

Lesson 4:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting and Computing Division of a Fraction by a Fraction—
More Models
12/5/13

S.20

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

20
Lesson 4

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Problem Set
1.

2.

3.

4.

Lesson 4:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting and Computing Division of a Fraction by a Fraction—
More Models
12/5/13

S.21

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

21

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G6 m2-a-lesson 4-s

  • 1. Lesson 4 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Lesson 4:Interpreting and Computing Division of a Fraction by a Fraction—More Models Classwork Opening Exercise Write at least three equivalent fractions for each fraction below. Be sure to show how the two fractions are related. a. b. Example 1 Molly purchased cups of strawberries. She eats in a serving. How many servings did Molly purchase? Use a model to prove your answer. Lesson 4: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting and Computing Division of a Fraction by a Fraction— More Models 12/5/13 S.17 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 17
  • 2. Lesson 4 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Example 2 Now imagine that Molly’s friend Xavier purchased cups of strawberries and that he eats cup servings. How many servings has he purchased? Use a model to prove your answer. Example 3 Find the quotient: . Use a model to show your answer. Lesson 4: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting and Computing Division of a Fraction by a Fraction— More Models 12/5/13 S.18 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 18
  • 3. Lesson 4 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Exercises 1–5 A model should be included in your solution. 1. 2. 3. Lesson 4: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting and Computing Division of a Fraction by a Fraction— More Models 12/5/13 S.19 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 19
  • 4. Lesson 4 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 4. 5. Lesson 4: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting and Computing Division of a Fraction by a Fraction— More Models 12/5/13 S.20 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 20
  • 5. Lesson 4 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Problem Set 1. 2. 3. 4. Lesson 4: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting and Computing Division of a Fraction by a Fraction— More Models 12/5/13 S.21 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 21