Geometry

Lesson 16

Math

Unit 6

7th Grade

Lesson 16 of 21

Objective


Identify and describe two-dimensional figures that result from slicing three-dimensional figures.

Common Core Standards


Core Standards

  • 7.G.A.3 — Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

Foundational Standards

  • 5.G.B.3
  • 5.MD.C.3

Criteria for Success


  1. Understand that a three-dimensional figure can be sliced in various ways that result in a two-dimensional cross-section
  2. Understand that a slice through a right pyramid or prism, parallel to the base, will have the same shape as the base.
  3. Identify the two-dimensional figures that result from various slices through right pyramids and prisms. 

Tips for Teachers


Visualizing the two-dimensional figures that result from slicing a three-dimensional figure can be challenging for some students. The following are two visual supports:

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Anchor Problems


Problem 1

Justine has a block of cheese in the shape of a square prism, as shown below.

She cuts the block in half. What are two different two-dimensional faces that could result from Justine slicing the cheese in half?

Guiding Questions

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Problem 2

A right rectangular pyramid is shown below.


Describe how the following two-dimensional figures can be created by slicing the pyramid. 

a.   rectangle

b.   triangle

c.   trapezoid

Guiding Questions

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Problem Set

Fishtank Plus Content

Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task


A cube is sliced with a single straight cut, creating a two-dimensional cross-section. Name 2 different two-dimensional shapes that could result from the slice, and explain or draw how they are created.

Student Response

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Additional Practice


The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

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Lesson 15

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Lesson 17

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Angle Relationships

Topic B: Circles

Topic C: Building Polygons and Triangles

Topic D: Solid Figures

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