Cross-sections of Solids


Hands on introduction to cross-sections:

Students should complete a hands-on activity with toilet paper tubes. The tubes can be cut to show the cross sections.
Toilet Paper Tube



Goal: Identify solids through an investigation of cross sections. [7.G.3 G.GMD.4]

Learning Objective: Students should begin to see a difference between polyhedron (prisms and pyramids) with polygonal faces and non-polyhedral (cones, cylinders, spheres).

CrossSectionBlog.jpg


Task: Create a variety of solids (or use the files prepared in Lesson 1) and drag a cross section through each solid. Discussion questions to ask include:
  1. Name a figure and location of the plane where the cross section slice is constant (same shape and size) as you move the section tool through the figure.
  2. Name a figure and location of the plane where the cross section slice is a polygon but the polygon shrinks/grows as you move through the figure.
  3. Name a shape where the cross section slice is not a polygon as you move through the figure. Where is the plane located?
  4. Name a figure where the slice is curved (parabolic) and note the location of the plane.

Follow-up Question: Can you classify or categorize the solids by using distinct properties of the cross section slices?

Vocabulary: A polyhedron (plural polyhedra or polyhedrons) is a geometric solid in three dimensions with flat faces and straight edges.http://en.wikipedia.org/wiki/Polyhedron

Updated August 2017