To determine the dimensional change to quadruple the area, class members determine how to increase the dimensions of a square and a circle to increase the perimeter by a given factor. they then calculate the necessary factor to create increases in the areas of the two figures.

Concepts

area, area of circles, area of squares, perimeter, perimeter of polygons, circumference, squares, circles, ratios, similar figures

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Additional Tags

math

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Instructional Ideas

• Develop general ratio relationships between lengths, perimeters, and area
• Have individuals describe how to create the figures rather than just create them

Classroom Considerations

• Provide class with rulers to measure the figures

Pros

• Rubric identifies the math big ideas in the assessment
• The side of the square is the same as the diameter of the circle, so scholars only need to compute once

Cons

• None

Common Core

7.G.B.4 7.G.B.6 HSG-GMD.A.1 MP2 MP4