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Unit 1 - Lesson 4 - Grade 5: Illustrative Mathematics

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Grade 5 Unit 1

Lesson 4: Use Layers to Determine Volume

CC BY 2021 Illustrative Mathematics

Grade 5 Unit 1

Lesson 4: Use Layers to Determine Volume

CC BY 2021 Illustrative Mathematics

Lesson: Use Layers to Determine Volume

Estimation Exploration: How Many Cubes? (Warm Up)

Layers in Rectangular Prisms

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1
1

Finding Volume in Different Ways

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1
Cooldown: Use Expressions
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1

1
Pitanje 1
1.

About how many cubes were used to build this prism?

1
Pitanje 2
2.

Record an estimate that is:

Pitanje 3
3.

Complete the table. Be prepared to explain your reasoning.+

Pitanje 4
4.

Find the volume of each prism. Explain or show your reasoning.

Prism E

Prism F

Pitanje 5
5.

How can you find the volume of any rectangular prism?

Pitanje 6
6.

Explain or show how the expression 5 x 24 represents the volume of this rectangular prism.

Pitanje 7
7.

Explain or show how the expression 6 x 20 represents the volume of this rectangular prism.

Pitanje 8
8.

Find a different way to calculate the volume of this rectangular prism. Explain or show your thinking.

Pitanje 9
9.

Write an expression to represent the way you calculated the volume.

Pitanje 10
10.

If the rectangular prism was filled completely, how many cubes could it hold?

Pitanje 11
11.

Explain or show how the expression represents the volume of the prism.