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Lesson 1

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Lesson 1:Interpreting Division of a Whole Number by a Fraction—
Visual Models
Classwork
Opening Exercise
Draw a model of the fraction.

Describe what the fraction means.

Example 1
Maria has lb. of trail mix. She needs to share it equally among 6 friends. How much will each friend be given? What is
this question asking us to do?

How can this question be modeled?

Lesson 1:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting Division of a Whole Number by a Fraction—Visual
Models
12/2/13

S.1

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

1
Lesson 1

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Example 2
Imagine that you have of a cup of frosting that you need to share equally between three desserts. How would we
write this as a division question?

We can start by drawing a model of two-fifths.

How can we show that we are dividing two-fifths into three equal parts?

What does this part represent?

Exercises 1–5
For each question below, rewrite the problem as a multiplication question. Then model the answer.
1.

Lesson 1:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting Division of a Whole Number by a Fraction—Visual
Models
12/2/13

S.2

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

2
Lesson 1

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

2.

3.

4.

5.

Lesson 1:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting Division of a Whole Number by a Fraction—Visual
Models
12/2/13

S.3

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

3
Lesson 1

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Problem Set
Rewrite each problem as a multiplication question. Model the answer.

1.

2.

Lesson 1:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting Division of a Whole Number by a Fraction—Visual
Models
12/2/13

S.4

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

4

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G6 m2-a-lesson 1-s

  • 1. Lesson 1 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Lesson 1:Interpreting Division of a Whole Number by a Fraction— Visual Models Classwork Opening Exercise Draw a model of the fraction. Describe what the fraction means. Example 1 Maria has lb. of trail mix. She needs to share it equally among 6 friends. How much will each friend be given? What is this question asking us to do? How can this question be modeled? Lesson 1: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting Division of a Whole Number by a Fraction—Visual Models 12/2/13 S.1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 1
  • 2. Lesson 1 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Example 2 Imagine that you have of a cup of frosting that you need to share equally between three desserts. How would we write this as a division question? We can start by drawing a model of two-fifths. How can we show that we are dividing two-fifths into three equal parts? What does this part represent? Exercises 1–5 For each question below, rewrite the problem as a multiplication question. Then model the answer. 1. Lesson 1: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting Division of a Whole Number by a Fraction—Visual Models 12/2/13 S.2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 2
  • 3. Lesson 1 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 2. 3. 4. 5. Lesson 1: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting Division of a Whole Number by a Fraction—Visual Models 12/2/13 S.3 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 3
  • 4. Lesson 1 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Problem Set Rewrite each problem as a multiplication question. Model the answer. 1. 2. Lesson 1: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting Division of a Whole Number by a Fraction—Visual Models 12/2/13 S.4 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 4