Lesson plan

Find the surface area of a triangular prism by decomposing its net into rectangles and triangles

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: Triangular prisms can be represented with nets made up of rectangles and triangles. The net of a triangular prism, when decomposed into rectangles and triangles, can be used to determine its surface area. This lesson builds on students' work in finding composite areas by decomposing complex shapes into polygons that have area formulas. In this task, students calculate the amount of water-resistant spray it takes to coat the outside surfaces of three tents. This lesson builds toward students' work in seventh grade on finding the surface area of three-dimensional objects composed of triangles, quadrilaterals, and polygons. Vocabulary: 2-dimensional shape, 3-dimensional figure, area, composite area, decompose, face, formula, net, prism, square units, surface area, triangular prism Special Materials: optional handout: Surface Area of Triangular Prisms Using Nets