Unit 1

Finding Volume

Unit Goals

Unit Narrative

This unit introduces students to the concept of volume by building on their understanding of area and multiplication.

In grade 3, students learned that the area of a two-dimensional figure is the number of square units that cover it, without gaps or overlaps. Students first found areas by counting squares and began to intuit that area is additive. Later, they recognized the area of a rectangle as a product of its side lengths and found the areas of more-complex figures composed of rectangles.

Here, students learn that the volume of...

Section A

Section Goals

Section Narrative

In this section, students make sense of volume as a measure of a three-dimensional figure by building objects with unit cubes and counting the cubes. They experiment with different figures made from the same number of cubes and see them as having the same volume.

Students then build right rectangular prisms and analyze images of prisms constructed of unit cubes....

Let’s build and compare objects made of cubes.

Let’s count cubes.

Let's use layers to find volume.

Let's relate multiplication to how we use layers to find volume.

Section A Practice Problems

to access Section Checkpoints.

Section A

Let’s build and compare objects made of cubes.

Let’s count cubes.

Let's use layers to find volume.

Let's relate multiplication to how we use layers to find volume.

Section B

Section Goals

Section Narrative

In this section, students continue to work with right rectangular prisms and to relate side measurements to volume. They observe that multiplying the number of layers of cubes in a prism by the number of cubes in one layer gives its volume. They also see that the number of cubes in one layer is in essence the area of a...

Let’s describe the side lengths of a prism and find the volume.

Let’s write expressions for the volume of rectangular prisms.

Let’s use different cubic units to measure volume.

Section B Practice Problems

to access Section Checkpoints.

Section B

Let’s describe the side lengths of a prism and find the volume.

Let’s write expressions for the volume of rectangular prisms.

Let’s use different cubic units to measure volume.

Section C

Section Goals

Section Narrative

In this section, students apply their understanding of volume to solve real-world and mathematical problems. They encounter solid figures that are composed of two or more right rectangular prisms, which reinforces their understanding of the additive nature of volume.

Let’s find the volumes of figures made of prisms.

Let’s find the volumes of more figures.

Let’s write expressions for the volumes of figures.

Let’s find the volume of all different kinds of prisms.

Let’s investigate what happens to garbage.

Section C Practice Problems

to access Section Checkpoints.

Section C

Let’s find the volumes of figures made of prisms.

Let’s find the volumes of more figures.

Let’s write expressions for the volumes of figures.

Let’s find the volume of all different kinds of prisms.

Let’s investigate what happens to garbage.

to access End-of-Unit Assessments.

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Finding Volume

Unit Goals

Unit Narrative

Section Goals

Section Narrative

Section A Practice Problems

Section Goals

Section Narrative

Section B Practice Problems

Section Goals

Section Narrative

Section C Practice Problems

Unit 1 Resources

About Unit 1

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Section Goals

Section Narrative

Section B Practice Problems

Section Goals

Section Narrative

Section A Practice Problems

Section Goals

Section Narrative

Section C Practice Problems