Allen WolmerSandy Springs, Georgia, US,

April 29, 2015

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- Mathematics > General
- Mathematics > Geometry

- Grade 9
- Grade 10

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Table of Contents

- Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.
- Students review the area formula for rectangles and use a square grid to estimate the area of a curved region
- Students use inscribed and circumscribed polygons for a circle (or disk) of radius r and circumference C to show that the area of a circle is (1/2)Cr or as it is usually written, ?r^2.
- Students understand the precise language that describes the properties of volume.
- Students understand the principle of parallel slices in the plane, and understand Cavalieri’s principle
- Students use Cavalieri’s principle
- Area of a Circle
- Area and Circumference of Circles

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