A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different area formulas, beginning only with the value of the perimeter. 

Concepts

area, perimeter

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Additional Tags

area, perimeter, math

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Pros

• The use of the Pythagorean theorem to find the area of the triangle aligns the task to Common Core State Standards
• A thorough commentary is provided, including complete solutions for each shape

Cons

• None

Common Core

7.G.A.1 8.G.B.7 MP1 MP2 MP6 MP7 MP8