Geometry

Lesson 16

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:

Remote Learning Guidance

If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 2 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.

Fishtank Plus

Subscribe to Fishtank Plus to unlock access to additional resources for this lesson, including:

  • Problem Set
  • Student Handout Editor
  • Google Classrom Integration
  • Vocabulary Package

 

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

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem 2

A right rectangular pyramid is shown below.


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

  • rectangle
  • triangle
  • trapezoid

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem Set

?

With Fishtank Plus, you can download a complete problem set and answer key for this lesson. Download Sample

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

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.

Mastery Response

?

Create a free account or sign in to view Mastery Response