Lesson plan

10. Identify shape of new faces of a sliced figure (FP)

teaches Common Core State Standards CCSS.Math.Content.7.G.A.3 http://corestandards.org/Math/Content/7/G/A/3
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective: Identify the shape of the two-dimensional face created when a three-dimensional figure is sliced.

This lesson helps to build spatial reasoning by slicing three-dimensional figures. Drawings are used here because they represent both three-dimensional figures and their two-dimensional faces. This work develops students' understanding that slicing three-dimensional figures creates new faces of two smaller figures.

Students engage in Mathematical Practice 4 (model with mathematics) as they apply their undersatnding of three-dimensional figures to identify the shape of the new face.

Key vocabulary:

  • face
  • three-dimensional figure
  • two-dimensional figure
  • slice