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Lesson Plan

Model and solve composite rectangle area problems by using multiplication and division

teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Content.3.MD.C.7b http://corestandards.org/Math/Content/3/MD/C/7/b
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
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: Any plane shape can be decomposed. The total area is the sum of its parts. Factors can be decomposed to find unknown products using the distributive property. An area diagram can be used as a representation of decomposing factors to find unknown products. This lesson builds on students' work with area of rectangles. This task uses a skateboard park where students design a diagram of a new skate park using a variety of skateboard ramps in their design. By combining two or more of these ramps side by side, students use the area model as a representation for finding the total square area of the diagram. Through this task, students draw, label, and determine the total square area of composite rectangles, decomposing factors to find unknown products using the distributive property. The mathematical concepts in this lesson build toward students' work using a variety of representations of the properties of operations in multiplication and division to solve real-world problems. Vocabulary: distributive property, multiply, factor, product Special Materials: centimeter grid paper (optional)
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