How do the area and perimeters of circles and squares compare? A clever video illustrates the change in the area of a circle and square while their total perimeter stays the same. The task is for learners to predict the point where the area of the circle and square is the same.

Concepts

circles, squares, perimeter, area

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Additional Tags

math

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Instructional Ideas

• Have pupils create a table estimating area and perimeter of the figures at different points
• Use string to cover the area of a square and circle with equal perimeters; compare their lengths

Classroom Considerations

• Expects a strong understanding of perimeter and area of circles and squares

Pros

• Includes an interactive component
• Provides cues for questions throughout the lesson

Cons

• None

Common Core

HSA-CED.A.1 HSA-REI.B.4.a MP4