# 7. Splitting Rectangles to Solve Word Problems (A)

teaches Common Core State Standards CCSS.Math.Content.3.MD.C.7c http://corestandards.org/Math/Content/3/MD/C/7/c
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Apply the distributive property to real-world area problems.

This lesson provides an opportunity for students to apply their knowledge and understanding of the distributive property to a real-life situation. Students are asked to design a bulletin board which needs to be split, and the area needs to be found for the smaller rectangles as well as the whole bulletin board.

Key Concept students will use:

• The area of a rectangle with whole-number side lengths a and b + c is the sum of a x b and a x c.

Skills students will use:

• Using the distributive property
• Multiplication
• Solving for area

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they use the area model to decompose rectangles while using the distributive property to find the area the whole rectangle.

Key vocabulary:

• area
• multiply

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