Yet another idea I've stolen completely from Kate Nowak. The unit we're currently working on in College Algebra is on polynomial and rational functions. I get one day to cover rational functions.
One day to cover possibly the most fun word in all of algebra: asymptotes.
Let's face it--the day our math teachers condoned the word ass was a good day for all of us.
Anyway, here are the lecture notes we discussed together in class. If you haven't read Kate's post, read it first. I didn't change much. I just added a few things that we need to cover for our college-wide cumulative final, such as horizontal and oblique asymptotes.
I was very rebellious with this section and spent an entire day and a half on it.
4.5: Rational Functions