In this introductory video, I explain what rate of change means, and how the problems vary between the basic "rate of change" problems in algebra vs the "average rate of change of a function" problems in pre-calculus.
Rate of Change of Line Is Just Slope
In Algebra, they'll often give you problems - word problems usually - where if you distill it all down, the problem basically gives you the equation of a line and asks for the "rate of change" of some quantity. When in doubt, it's probably the slope (or whatever number is in front of a variable).
Average Rate of Change of a Function
This video covers the most common type of rate of change problem, where they give you a function and ask you to find the "average rate of change on the interval [a,b]." In other words, they want you to find the average Y value of a function between two values of x (or t or whatever the independent variable happens to be).
Rate of Change in Calculus
In case you're in Calculus and wondering how all this rate of change stuff is different now from what you remember from last year (you remember pre-calc perfectly, right?), this video is for you.
If you do not have an account, you should get one, because it is awesome! You can save a playlist for each test or each chapter, and save your "greatest hits" into a "watch right before the final" list (not that we recommend cramming, but when in Rome...)