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Lesson 2

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Lesson 2:Interpreting Division of a Whole Number by a Fraction—
Visual Models
Classwork
Example 1

Question #_______

Write it as a division question.

Write it as a multiplication question.

Make a rough draft of a model to represent the question:

Lesson 2:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting Division of a Whole Number by a Fraction—Visual
Models
12/3/13

S.5

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

5
Lesson 2

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

As you travel to each model, be sure to answer the following questions:

Original Questions

1.

Write the division question
that was answered in each
model.

What multiplication
question could the model
also answer?

Write the question given to
each group as a
multiplication question.

How many miles are
in

miles?

2.

How many quarter
hours are in hours?

3.

How many cups are
in

4.

cups?

How many pizzas
are in

5.

pizzas?

How many one-fifths
are in wholes?

Lesson 2:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting Division of a Whole Number by a Fraction—Visual
Models
12/3/13

S.6

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

6
Lesson 2

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Example 2
Molly used 9 cups of flour to bake bread. If this was of the total amount of flour she started with, what was the
original amount of flour?
a.

Create a model to represent what the question is asking for.

b.

Explain how you would determine the answer using the model.

Exercises 1–5
1.

A construction company is setting up signs on 4 miles of the road. If the company places a sign every

of a mile,

how many signs will it need?

Lesson 2:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting Division of a Whole Number by a Fraction—Visual
Models
12/3/13

S.7

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

7
Lesson 2

NYS COMMON CORE MATHEMATICS CURRICULUM

2.

George bought 12 pizzas for a birthday party. If each person will eat of a pizza, how many people can George feed
with

3.

6•2

pizzas?

The Lopez family has adopted

miles of trail on the Erie Canal. If each family member cleans up of a mile, how

many family members will be needed to clean the adopted section?

Lesson 2:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting Division of a Whole Number by a Fraction—Visual
Models
12/3/13

S.8

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

8
Lesson 2

NYS COMMON CORE MATHEMATICS CURRICULUM

4.

6•2

Margo is freezing cups of strawberries. If this is of the total strawberries that were picked, how many cups of
strawberries did Margo pick?

5.

Regina is chopping up wood. She has chopped

logs so far. If the

logs represent of all the logs that need to be

chopped, how many logs need to be chopped in all?

Lesson 2:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Interpreting Division of a Whole Number by a Fraction—Visual
Models
12/3/13

S.9

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

9
Lesson 2

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Problem Set
Rewrite each problem as a multiplication question. Model the answer.
1.

Nicole has used 6 feet of ribbon. This represents of the total amount of ribbon she started with. How much ribbon
did Nicole have at the start?

2.

How many quarter hours are in

Lesson 2:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

hours?

Interpreting Division of a Whole Number by a Fraction—Visual
Models
12/3/13

S.10

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

10

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G6 m2-a-lesson 2-s

  • 1. Lesson 2 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Lesson 2:Interpreting Division of a Whole Number by a Fraction— Visual Models Classwork Example 1 Question #_______ Write it as a division question. Write it as a multiplication question. Make a rough draft of a model to represent the question: Lesson 2: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting Division of a Whole Number by a Fraction—Visual Models 12/3/13 S.5 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 5
  • 2. Lesson 2 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 As you travel to each model, be sure to answer the following questions: Original Questions 1. Write the division question that was answered in each model. What multiplication question could the model also answer? Write the question given to each group as a multiplication question. How many miles are in miles? 2. How many quarter hours are in hours? 3. How many cups are in 4. cups? How many pizzas are in 5. pizzas? How many one-fifths are in wholes? Lesson 2: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting Division of a Whole Number by a Fraction—Visual Models 12/3/13 S.6 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 6
  • 3. Lesson 2 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Example 2 Molly used 9 cups of flour to bake bread. If this was of the total amount of flour she started with, what was the original amount of flour? a. Create a model to represent what the question is asking for. b. Explain how you would determine the answer using the model. Exercises 1–5 1. A construction company is setting up signs on 4 miles of the road. If the company places a sign every of a mile, how many signs will it need? Lesson 2: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting Division of a Whole Number by a Fraction—Visual Models 12/3/13 S.7 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 7
  • 4. Lesson 2 NYS COMMON CORE MATHEMATICS CURRICULUM 2. George bought 12 pizzas for a birthday party. If each person will eat of a pizza, how many people can George feed with 3. 6•2 pizzas? The Lopez family has adopted miles of trail on the Erie Canal. If each family member cleans up of a mile, how many family members will be needed to clean the adopted section? Lesson 2: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting Division of a Whole Number by a Fraction—Visual Models 12/3/13 S.8 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 8
  • 5. Lesson 2 NYS COMMON CORE MATHEMATICS CURRICULUM 4. 6•2 Margo is freezing cups of strawberries. If this is of the total strawberries that were picked, how many cups of strawberries did Margo pick? 5. Regina is chopping up wood. She has chopped logs so far. If the logs represent of all the logs that need to be chopped, how many logs need to be chopped in all? Lesson 2: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Interpreting Division of a Whole Number by a Fraction—Visual Models 12/3/13 S.9 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 9
  • 6. Lesson 2 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Problem Set Rewrite each problem as a multiplication question. Model the answer. 1. Nicole has used 6 feet of ribbon. This represents of the total amount of ribbon she started with. How much ribbon did Nicole have at the start? 2. How many quarter hours are in Lesson 2: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org hours? Interpreting Division of a Whole Number by a Fraction—Visual Models 12/3/13 S.10 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 10