Rectangles - Same Perimeter and Different Area

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Given a rectangle with specified dimensions, learners are prompted to create a new rectangle with the same perimeter, but a different area. This challenges third graders to think about perimeter and area in a new way. Each problem contains two square unit grids; one with the original rectangle and one that is blank for the new rectangle

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CCSS: Designed
Instructional Ideas

  • Use worksheet as a teaching tool before distributing as independent practice
  • Allow students to work in groups to facilitate collaboration
  • Implement the exercise at the end of a unit on area and perimeter
  • Instruct class to label the sides of the new rectangle and write an equation to represent the new dimensions
Classroom Considerations

  • Each problem contains two square unit grids; one with the original rectangle and one that is blank for the new rectangle
  • Print all 10 versions of the worksheet or choose your favorites and print by page
Pros

  • All 10 versions of the worksheet include an answer key
Cons

  • None
Common Core