Finding the Largest Possible Area

This Finding the Largest Possible Area performance task also includes:

If you want a bigger garden, here's a task for you. Given the perimeter of a triangular garden, scholars determine the largest possible area. They then generalize their findings and extend the idea to other polygons.

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CCSS: Adaptable
Additional Tags
Instructional Ideas
  • Challenge learners to prove their results algebraically
Classroom Considerations
  • Pupils must be familiar with area formulas
  • Knowledge of the Pythagorean Theorem and the Triangle Inequality Theorem is necessary
Pros
  • Includes student worksheets
  • Provides rubrics with benchmark descriptions
Cons
  • None
Common Core