Lesson plan

Decompose factors by using the distributive property

teaches Common Core State Standards CCSS.Math.Content.3.OA.B.5 http://corestandards.org/Math/Content/3/OA/B/5
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Big Ideas: Multiplication can be decomposed into simpler facts using the distributive property. An area model can be used to support the reasoning for decomposing factors to find unknown quantities. This lesson builds on students' work with equations and the properties of operations. In this task, students must redesign seating in a football stadium to include two sections within each stadium based on the number of rows and seats in each row (arrays). Students decompose sections (arrays) to find the area of each section using the distributive property. The mathematical concepts in this lesson build toward students' work with multi-digit multiplication. Vocabulary: Distributive Property, decompose Special Materials: centimeter grid paper (optional)