Picciotto, Henri. (2020). Function Diagrams. In S. Kohli (Ed.), Math Circle Activity Database. American Institute of Mathematics.

Function Diagrams

Math Circles:
What if we graphed with parallel axes instead of perpendicular ones? This intriguing transformation exchanges points and lines; replacing points being on the same line, with lines passing through the same point. By changing the way we usually graph functions, new patterns and deeper understandings can emerge.

Activity Guide

This guide looks at the activity in detail and goes into the underlying math, including sample worksheets.