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Math · Grade 5 Math · Unit 1

Unit 1: Finding Volume

Students find the volumes of right rectangular prisms and solid figures composed of two right rectangular prisms.

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Unit

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What this unit covers

A Unit Cubes and Volume · 4 lessons
Goals
  • Describe volume as the space taken up by a solid object.
  • Measure the volume of a rectangular prism by finding the number of unit cubes needed to fill it.
  • Use the layered structure in a rectangular prism to find volume.
Lessons
  1. What Is Volume?
  2. Measure Volume
  3. Volume of Prism Drawings
  4. Use Layers to Determine Volume
B Expressions for Finding Volume · 3 lessons
Goals
  • Describe the calculations from the previous section as length × width × height or base area × height.
  • Find volume, using length × width × height or base area × height.
Lessons
  1. Side Lengths of Rectangular Prisms
  2. Expressions for Volume
  3. Cubic Units of Measure
C Volumes of Solid Figures · 5 lessons
Goals
  • Find the volume of a figure composed of rectangular prisms.
Lessons
  1. Figures Made of Prisms
  2. Measure Figures Made from Prisms
  3. Represent Volume with Expressions
  4. All Kinds of Prisms
  5. Tons and Tons of Garbage (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 3 Math · Unit 2 Area and Multiplication
See the whole map Next: Unit 2 · Fractions as Quotients and Fraction Multiplication →

Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.