First, students will learn what the apothem of a regular polygon is, as seen here. After that, students will learn how to derive the area formula for regular polygons. Here's a derivation, and a demo of a couple problems being solved. Here's a couple more being solved.

Next, give your students these challenges:

- Counters by NRICH
- The Great Tiling Count by NRICH
- Olympic Rings by NRICH

Conclude by leading this investigation:

64 = 65 Mathemagical Proof

by MathPickle