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Lesson Plan

Find area of complex shapes without tiling by decomposing them into non-overlapping rectangles

teaches Common Core State Standards CCSS.Math.Content.3.MD.C.7d http://corestandards.org/Math/Content/3/MD/C/7/d
teaches Common Core State Standards CCSS.Math.Content.3.OA.B.5 http://corestandards.org/Math/Content/3/OA/B/5
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Big Ideas: Complex shapes can be decomposed into non-overlapping rectangles in order to find the area of the entire figure. Students have learned many strategies to find the area of a rectangle including counting the square units, multiplying length times width, and applying their understanding of the distributive property to break apart numbers into familiar facts. In this lesson students will find the area of rectilinear figures by decomposing them into non-overlapping rectangles. Students can then add the areas of those rectangles to determine the area of the original figure. This will support students’ ability to find the area of more difficult shapes in future lessons. Vocabulary: decompose, rectilinear figures, area
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