Next week I'll be working with my students to figure out these two derivatives. I don't want them taking notes on all the steps, so I made a handout that reflects what I think we'll do in class. I'm embarrassed to admit how many hours I put into this. The good thing is that I know the details of these proofs a lot better after having typed this out.
I used Word with MathType, which has usually looked fine to me. I'm starting to wish I knew LaTex. (It's definitely on the list of technology I want to learn soon.) I used Geogebra for diagrams, took snapshots using Jing, and pulled the .png files into my Word doc. There's probably a better way to do that too.
First is an estimation activity:
Estimating the Derivative From Graphs of Sine and Cosine by Sue VanHattum*
Then here is the complete proof I typed up:
Derivatives for Sine and Cosine by Sue VanHattum
What would you do differently?
[Note added on 2-21-14: I just taught this for the third time from my handouts. I loved how it went yesterday. When I came back to this post, I re-read the comment from Alemi at The Virtuosi, and studied the blog post referenced. It is exactly what I was hoping might exist: a nice short argument with the same result. Check it out!]
*This is my first time using scribd in a very long time. I hope these are useful to someone. How do I get the documents to show up in my blog post?