PBS
The Math of Bicycles: Wheel Figure This Out (Grades 4 7)
Several good activities here. Look particularly at Wheel Figure It Out (which is the opening page) and Gearing Up. There are answers to the very good questions at the bottom of each.
Illustrative Mathematics
Illustrative Mathematics: F Tf Bicycle Wheel
The purpose of this task is to introduce radian measure for angles in a situation where it arises naturally, in this case the movement of a bicycle wheel. Aligns with HSF-TF.A.1.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Friends Meeting on Bicycles
Students use ratio and rate to answer five questions in this real-world math performance task.
PBS
Pbs Learning Media: Cyberchase: Bianca Gets in Gear
Bianca visits a bike shop and learns how bicycle gears work in this Cyberchase video segment. [3:26]
Texas Instruments
Texas Instruments: Numb3 Rs: Cycloid I
Based off of the hit television show NUMB3RS, this lesson is more about student prediction and reasoning than actual formal math. In the lesson, students are to propose the shape that would be formed by a point on a bicycle tire, while...