The short version: What path should I take to learn Calculus in High-School?
The long version: I am a high-school freshman, and I am enamored with mathematics, and I just see beauty in many things when it comes to math. One of which is derivatives. For the past week or so, I have shifted my focus from my regular math class (geometry, ugh) to the beginnings of Calculus. And I am in love with what I have seen so far.
Before I go any further, I would like to give a little proof that I am not making this up: I formulated the Power Rule all on my own, just by looking in the patterns between the base equation and the derivative of it. My math teacher just about had a heart attack.
So here is my question: What is the order in which you guys (and maybe girls :) would suggest that I go through in Calculus? So far, I grasp a fairly solid knowledge of the Power rule and Limits, and I can find the derivative of just about any (sorta simple, nothing too complex ;) equation thrown at me. Currently, I am using Kahn Academy for my main resource. So, anybody have some input? :)