Lesson plan

# Find the surface area of a square pyramid by decomposing its net into polygons with area formulas

teaches Common Core State Standards CCSS.Math.Content.6.EE.A.2c http://corestandards.org/Math/Content/6/EE/A/2/c
teaches Common Core State Standards CCSS.Math.Content.6.G.A.4 http://corestandards.org/Math/Content/6/G/A/4
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: Pyramids can be represented with nets made up of polygons. The nets of some pyramids can be decomposed into rectangles and triangles to determine the surface area of the pyramid. This lesson builds on students' work finding composite areas by decomposing complex shapes into polygons that have area formulas. In this task, students calculate the amount of fabric it takes to make different sized pyramid-shaped pillows. This lesson builds toward students' work in sixth and seventh grade on finding the surface area of three-dimensional figures composed of triangles, quadrilaterals, and polygons. Vocabulary: 2-dimensional shape, 3-dimensional figure, area, composite area, decompose, face, formula, net, pyramid, square pyramid, square units, surface area, triangular pyramid Special Materials: optional handout: Surface Area of Square Pyramids Using Nets