The Applied Algebra 2 students explored the “efficiency” of different bikes. The students learned how bike gears worked as an introduction to writing equations, creating tables and graphs, and interpreting what their graph shows. The students determined the gear ratios for 3 different bikes and determined how that ratio relates to the distance the bike goes for each pedal rotation. The students wrote equations to solve the distance traveled over a given period of time at a particular gear ratio. The students discussed the scenarios in which they would prefer to have a high gear ratio or a low gear ratio. Each student selected one of the bikes they looked at as their bike on choice based on their desired purpose (road or mountain biking) by looking at graphs they created showing how gear ratio related to distance traveled over an hour.