Geometry: Compass Investigations in Circles

“In his own magic circle wanders the wonderful man, and draws us with him to wonder and take part in it.” ~ Johann Wolfgang Goethe


Materials:
Euclid in The School of Athens by Raphael Sanzio
Goals
1. Experience how the ancients discovered geometry: drawing in dirt until a pattern, such as a square in the middle of a series of circles, finding other shapes by connecting different points in a circle, etc.
2. Learn how to draw circles with a compass. It’s not easy. It’s frustrating. It takes time and focus. It takes patience and forgiveness of your mistakes.
2. Once can draw a circle with a compass, start drawing circle upon circle, noticing the patterns that appear.
3. Highlight the patterns that interest you and color with colored pencils, highlighting the patterns.

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