Lesson plan

10. Solve problems involving the area of rectangles (A)

teaches Common Core State Standards CCSS.Math.Content.3.MD.C.5b http://corestandards.org/Math/Content/3/MD/C/5/b
teaches Common Core State Standards CCSS.Math.Content.3.MD.C.6 http://corestandards.org/Math/Content/3/MD/C/6
teaches Common Core State Standards CCSS.Math.Content.3.MD.C.7a http://corestandards.org/Math/Content/3/MD/C/7/a
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
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Lesson objective: Apply multiplying side lengths to find the area of a rectangle to solve real world problems.

This lesson provides an opportunity for students to apply their knowledge and understanding of using multiplication to find the area of a rectangle to a real-life situation. Students are asked to determine the area of several grass lawns, given only the side lengths, and then use the area of each lawn to determine how much Michael would charge to mow each lawn.

Key Concept students will use: 

  • We can find the area of a rectangle (with whole number length sides) by tiling it with unit squares or by multiplying the side lengths.

Skills students will use:

  • Write a multiplication equation to find the area of a rectangle.
  • Partition a rectangle into equal square units and use skip counting or repeated addition to find the product of the area multiplication equation.
  • Compare the areas of different rectangles.

Students engage in Mathematical Practice 6 (attend to precision) as they move towards precisely expressing their understanding of the connection between area of a rectangle and multiplication through their work with partitioning rectangles into arrays.

Key vocabulary: 

  • area
  • length
  • partition
  • product
  • rectangle
  • repeated addition
  • skip count
  • square feet
  • square inches
  • square meters
  • square units
  • width

Special materials needed: 

  • centimeter graph paper