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Lesson Plan

Describe a two-dimensional cross-section made from diagonal slices by comparing it with the three-dimensional figure it originated from

teaches Common Core State Standards CCSS.Math.Content.7.G.A.3
teaches Common Core State Standards CCSS.Math.Practice.MP2
teaches Common Core State Standards CCSS.Math.Practice.MP7

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Big Ideas: The shape of a cross-section can be visualized by focusing on where the slice begins and ends. The properties of the three-dimensional solid affect the shaped cross-sections that can be formed when sliced diagonally. 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 cut diagonally. Students will discover that the cross-sections formed will depend on where their slice begins and ends. For example, if a slice starts on the edge of the three-dimensional solid the two dimensional figure will start with a point. Vocabulary: cross-section, diagonal, two-dimensional, three-dimensional, parallel, perpendicular, prism, pyramid, apex Special Materials: Task Handout, clay, plastic knives, floss
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