Lesson plan

1. Discover prisms have faces other than rectangles (C)

teaches Common Core State Standards CCSS.Math.Content.7.G.B.6 http://corestandards.org/Math/Content/7/G/B/6
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
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Lesson objective: Extend understanding of three-dimensional shaped figures from rectangular prisms to non-rectangular prisms.

Students bring prior knowledge of three-dimensional figures from CCSS.5.MD.C.3.B.  This prior knowledge is extended to faces of non-rectangular prisms as students identify the shapes needed to create nets of several prisms. A conceptual challenge students may encounter is keeping the correct proportions of the faces to correctly match the prism.

The concept is developed through work with nets and two-dimensional figures, which show the two-dimensional shape of the faces of three-dimensional figures and distinguish between bases and other faces.

This work helps students deepen their understanding of equivalence because the two-dimensional figure in the net is congruent to the face of the three-dimensional figure. Bases of prisms are always congruent. The length of side of a face, is congruent to the side of the face with which it shares an edge.

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they identify the shapes of faces of prisms and identify the bases of the prisms.

Key vocabulary:

  • base
  • congruent
  • face
  • net
  • parallel
  • prism
  • surface area
  • three-dimensional figure
  • two-dimensional figure