Show notes
Linear functions are major work in middle school mathematics, but before students can graph slope or write equations, they must understand what a function truly represents. In this episode, we trace the vertical development of functional thinking from 6th grade ratio reasoning to 7th grade proportional relationships and into 8th grade functions. You’ll hear how unit rates and the constant of proportionality evolve into slope, and why understanding how two quantities vary in tandem is the foun...

