Square in Square

Challenge the class to devise a method to determine the dimensions of a rectangle inscribed in another rectangle. Pupils make connections between functions and geometry as they examine the area and perimeter of a square or rectangle inscribed in a square.

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CCSS: Adaptable
Additional Tags
Instructional Ideas
  • As a warm up, provide students with opportunities to find lengths of sides of inscribed squares
Classroom Considerations
  • Class members should be well versed in working with the Pythagorean Theorem and know how to square a binomial
Pros
  • Requests a symbolic, verbal, and graphical solution
  • Includes an extension question to further practice the concept
Cons
  • None
Common Core