Lesson Plan

Exploring Area of Circles

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Objectives

In this lesson, students explore another attribute of circles: area. Students will:

  • create their own approximation of the area of a circle based on the area of a circumscribed square.
  • learn the formula to determine the area of a circle given the radius or diameter.
  • use the formula for area to determine the radius or diameter when given the area.


Essential Questions

  • How can patterns be used to describe relationships in mathematical situations?
  • How can recognizing repetition or regularity assist in solving problems more efficiently?
  • How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real situations or solve problems?
  • How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving?
  • How can geometric properties and theorems be used to describe, model, and analyze situations?


Vocabulary

  • Circumference: The distance around a circle. (C = 2πr)


Duration

60–90 minutes


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Materials


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Related Materials & Resources

The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.

  • Area of a Circle

http://www.mathgoodies.com/lessons/vol2/circle_area.html

  • Area, Circumference, Radius, and Diameter Calculator

http://www.mathsisfun.com/geometry/circle-area.html

  • Area of Circle Calculation Practice, Jeopardy style

http://www.quia.com/cb/10522.html

  • Timed Area of Circle Calculations

http://www.aaamath.com/exp612x2.htm

  • Finding Areas of Ellipses

http://www.math.hmc.edu/funfacts/ffiles/10006.3.shtml

  • Checking Areas of Ellipses

http://www.csgnetwork.com/areaellipse.html

 



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