Here are copies of a few problems involving the graphing of rational expressions from my precalc notes. My notes are usually pretty sloppy - work presented on the board being prettier, but, hopefully, this gives you some ideas.
Rational Graph Problem 1:
Rational Graph Problem 2:
And now moving on to math that I think is prettier, but I'm not sure why this image decided to go in upside-down (and no matter what I do they won't flip)!! This is the beginning of my notes on the binomial theorem, which relates to combinatorics and Pascal's Triangle:
Binomial Theorem Introduction:
And, last but not least, we have Mathematical Induction. Part of why I think this is pretty is because you often get to use sigma notation in the proofs - see the second-to-last and third-to-last pictures, although there's not much sigma notation there.
I wish we lived closer! It would be so much fun to go over these with you rather than just sending pictures. I also wish I had time to Skype right now, but this semester is TOTALLY kicking my butt! A good resource for further explanation of these topics is the Khan Academy videos. The best way to get there (to navigate) is to go to YouTube and then search for the topic and type "khan" - rather than trying to go to the Khan Academy site, which for some reason wants you to sign in, even though it's free, and that makes it a little hard to navigate.
I hope this helps!!!!