Determine the Area of a Shaded Region Using a Polynomial (Example)

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Looking at area with a hole. Using algebraic expressions as dimensions, learners see how to calculate the area of a rectangle that contains a square hole. The instructional video shows how to create a single expression for the area of the rectangle minus the area of the hole.

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CCSS: Adaptable
Instructional Ideas

  • Lead a discussion on different ways to find the area of the shaded portion
  • Ask classmates to create figures and share with partners to determine the area
Classroom Considerations

  • Requires that pupils know how to multiply binomials and combine like terms
Pros

  • Highlights like terms to show which values to combine
  • Shows all the steps in the problem solving process
Cons

  • None