Skip to content # Shifting Gears: Approximations in Cycling

## Activity Guide

# This guide looks at the activity in detail and goes into the underlying math.

Nakamaye, Michael. (2020). ActivityName. In S. Bowen (Ed.), Shifting Gears: Approximations in Cycling. American Institute of Mathematics. https://mathcircles.org/activity/Shifting-Gears

Contributor(s): Michael Nakamaye

Math Circles: MTC Network

- Activity Description
- Topics Covered
- Session Styles
- Mathematical Practices

After studying James Tanton’s MTC session about bicycle tracks, avid bicyclist Michael Nakamaye started questioning the mathematics behind how a bike works.
How do gears work? How many teeth are there usually on the different gears? Why? How is a bike like a ratio machine?