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Lesson Plan

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

teaches Common Core State Standards G.10A
teaches Common Core State Standards 8.GM.1
teaches Common Core State Standards MAFS.7.G.1.3
teaches Common Core State Standards CCSS.Math.Content.7.G.A.3
teaches Common Core State Standards CCSS.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
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