Students will learn why the derivative of an odd function is even, and why the derivative of an even function is odd. Here's a video on the former. To prove the latter is similar and may not be necessary to demonstrate, but here's a video, just in case you want give both proofs.

Conclude by giving your students these challenges:

- More Mathematical Mysteries by NRICH
- Shady Symmetry by NRICH
- The Rescaled Map by NRICH
- Base Puzzle by NRICH
- Sitting and Standing