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?

Algebra / Arithmetic
Number Theory
Problem Solving / General

Kinesthetic Element
Problem Posing

MP1 - Make sense of problems and persevere in solving them.
MP2 - Reason abstractly and quantitatively.
MP4 - Model with mathematics.
MP8 - Look for and express regularity in repeated reasoning.