The exercise at the beginning of the lab helped me see how a slope of a point is related to a function. This made making the GIFs a little bit easier. Having a basic knowledge of what was happening made it so that Kathryn and I were able to get the first GIF done with only a little bit (or a lot) of confusion and crying. Then came the second GIF. Oh how I hated the second GIF. After almost an entire period of messing with variables and punching the computer, I decided to google it. I decided that the best thing to google was “Connor Jones AP calc blog” and man was that a good idea. I could find his equations and as soon as I saw them I thought to myself “How did I not figure that out?” It made so much sense once I saw it. I probably couldn’t figure it out myself because I was tired and I had been working on the same thing for an hour. But now that I know what to do everything makes sense. Once I had that done, making my own GIF was pretty easy. I just followed the same basic steps and BAM! GIF. Secant lines are the average rate of change of a function. Tangent lines are the derivative of a function.