January 08, 2010

How I Entertain Myself

So I spent the day trying to work this problem with my students (and some teachers at lunch).

(for those of you actually thinking about the problem.. that's 36 square units)

We all knew it was obviously less, but was it really true? Was there any way it could be more? Had a lot of good discussions with the students, but at the end of the day I was still looking for a definitive answer.

When the last bell rang, I decided to prove it to myself. Algebraically. For every rectangle inscribed in a square. Yes, this is my idea of fun.

Unfortunately I was busted by a fellow math teacher. When I told her what I was working on, she laughed at me and then took this picture.

The nice arrow above my head was her idea.

2 comments:

Kathy said...

huh? I'm not even going to attempt to pretend that I understand any of this lol :)

trievangelist said...

You need to make that picture your Facebook profile picture.

jb