Lesson plan

Identify the two-dimensional shapes that result from various slices of three-dimensional figures

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teaches Common Core State Standards 7.G.A.3 http://corestandards.org/Math/Content/7/G/A/3
teaches Common Core State Standards MP7 http://corestandards.org/Math/Practice/MP7
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Big Ideas: Cross-sections formed from horizontal or vertical cut in a rectangular prism are the same as the bases of the three-dimensional figure. Horizontal cross-sections made from a rectangular pyramid will result in rectangles similar to the base. Cross-sections formed by vertical cuts to a rectangular pyramid will vary based on where the cut is made. Students have worked with the volume and surface area of three-dimensional figures in both 6th and 7th grade. The focus of this lesson is to get students to visualize the cross-sections that can be formed in both rectangular prisms and pyramids when sliced both vertically and horizontally. Students will discover that the cross-section from vertical and horizontal cuts to a rectangular prism will be equal to the face parallel from the slice. Students will also discover that different patterns occur when slicing right rectangular pyramids. Vocabulary: Cross-section, horizontal, vertical, two-dimensional, three-dimensional, parallel, perpendicular, prism, pyramid, apex Special Materials: Clay, floss, plastic knives