First, students will be introduced to Cavalieri's principle. Here's a video. Then students will use Cavalieri's principle to find the volume of slanted prisms and cylinders. After that, students will see a derivation of the volume formula for pyramids. Here's a video on that.

Are there interactives for Cavalieri's principle? Could I make an interactive in Geogebra?

Conclude by giving your students these challenges:

- Lost Books by NRICH
- Does This Sound about Right? by NRICH
- Angles Inside by NRICH
- 2003 AMC 8, Problem 10

\(A,\) \(B,\) \(C,\) \(D\) are the midpoints on a square of paper. \(E\) is the midpoint of \(\overline{CD}.\) Make the red and blue lines by folding. You can use a pencil to mark points or trace the fold lines you've already made. Making a few marks like this will help you greatly in making precise folds. Then cut along the red and blue lines to get four new shapes. Then rearrange the four shapes to make a triangle. What type of triangle is it?