I'm going to write an article in an educational magazine for middle school students, about the game Square It. The purpose of the game is to make lattice squares:
I want to introduce the game, and add some interesting facts and give some good problems about squares in a lattice (of course, they should be appropriate for middle school students). These are the only things I've thought of, by now:
- Pick's Theorem,
- Every square has integeral area.
- Pythagorean Theorem.
I'd be so thankful for any other idea.