Strings and Areas

This Strings and Areas assessment also includes:

You'd be surprised what you can do with a string! The constraint is the length of string, and the task is to maximize area. Given a series of composite shapes, learners must create a formula for the maximum area for a specified perimeter. The shapes involve a combination of circles, rectangles, and triangles resulting in some unique configurations.

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CCSS: Adaptable
Additional Tags
Instructional Ideas
  • Create a hands-on activity by providing groups with different lengths of string to analyze within the context of the problem
  • Differentiate by providing individuals with different problems from the set of six
Classroom Considerations
  • Requires the ability to calculate areas and perimeters of composite figures
Pros
  • Includes images to add clarity to the task
  • The task requires a high level of thinking
Cons
  • None
Common Core