# 10. Use multiplication and addition to solve area problems (A)

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.MP2 http://corestandards.org/Math/Practice/MP2

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Lesson objective: Apply knowledge of the relationship between multiplication and addition to solve a real world area problem.

This lesson provides an opportunity for students to apply their knowledge and understanding of area to a real-life situation. Students are asked to design a vegetable garden of a specified area, decompose it into 4 smaller rectangular areas for 4 types of vegetables, and write equations to represent the dimensions of the smaller areas as well as prove that the entire garden meets the design parameters.

Key Concept students will use:

• area relates to multiplication and addition and that knowledge can be used to solve real world problems involving area

Skills students will use:

• draw a rectangle of a specified area (e.g., Grade 3, Unit 2)
• decompose a rectangle into smaller rectangles
• write related multiplication, division and addition equations to represent area

Students engage in Mathematical Practice 2 (reason abstractly and quantitatively) as they translate area problems written within a real world context into area models and equations to represent the problem.

Key vocabulary:

• area
• calculate
• equation
• model
• multiplication
• operation
• prove
• real world problem
• rectangle
• row
• solve
• square unit

Special materials needed:

• color tiles
• grid paper
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