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Unit 3 - Lesson 12 - Grade 5: Illustrative Mathematics

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Grade 5 Unit 3

Lesson 12: Represent Division of Unit Fractions by Whole Numbers

CC BY 2021 Illustrative Mathematics

Grade 5 Unit 3

Lesson 12: Represent Division of Unit Fractions by Whole Numbers

CC BY 2021 Illustrative Mathematics

Lesson: Represent Division of Unit Fractions by Whole Numbers

Estimation Exploration: How Much is Shaded? (Warm Up)

1

Diagrams, Equations, Situations

Priya’s Work

1
1
1

Look for Patterns

1
1
1
1
1
Cool Down: Evaluate Division Expressions
1
1
Pitanje 1
1.

How much is shaded?

Record an estimate that is:

Priya and Mai used the diagrams below to find the value of

1
Pitanje 2
2.

What is the same about the diagrams?

1
Pitanje 3
3.

What is different?

1
Pitanje 4
4.

Find the value that makes the equation true.

1
1
Pitanje 7
7.

Find the value of

Explain or show your reasoning.

Pitanje 8
8.

This is Priya’s work for finding the value of

because I divided 1/3 into 2 equal parts and 1/2 of 1/3 is shaded in.

What questions do you have for Priya?

Pitanje 9
9.

Priya’s equation is incorrect. How can Priya revise her explanation?

Pitanje 10
10.

Find the value that makes the equation true. Use a diagram if it is helpful.

Pitanje 11
11.

Find the value that makes the equation true. Use a diagram if it is helpful.

Pitanje 12
12.

Find the value that makes the equation true. Use a diagram if it is helpful.

Pitanje 13
13.

What patterns do you notice?

Pitanje 14
14.

How would you find the value of 1/4 divided by any whole number? Explain or show your reasoning.

Pitanje 15
15.

Write a division expression for the shaded region. Explain or show your reasoning.

Pitanje 16
16.

What fraction does the shaded region represent? Explain or show your reasoning.

Pitanje 5
5.

Han drew this diagram to represent

Explain how the diagram shows

Pitanje 6
6.

Find the value that makes the equation true. Explain or show your reasoning.