Lesson plan

Solve for the areas of rhombi and kites by decomposing these shapes into triangles

teaches Common Core State Standards CCSS.Math.Content.6.G.A.1 http://corestandards.org/Math/Content/6/G/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
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

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Big Ideas: Rhombi and kites can be decomposed into triangles. The area of a kite or rhombus can be solved for by finding the areas of the triangles within the figure. This lesson builds on students’ work with decomposing polygons into triangles, rectangles, and other shapes. In this task, students will discover how to split rhombi and kites into triangles and solve for each of their areas to find the area of the rhombus or kite. By decomposing the shapes into triangles, students will continue to build on their understanding of the concept that area is additive. The mathematical concepts in this lesson build toward students’ future work with finding the areas of 2-D composite figures, surface area, and the slicing of 3-D figures in grades 6-8. Vocabulary: rhombus/rhombi, kite/kites, triangle, area, additive, decompose Special Materials: Supplementary Handout Scissors Glue