Saw this interesting tweet from Tracy Johnston Zager today:

I decided to ask my kids what they thought about the conjecture. Each kid took the question in a direction I wasn’t expecting:

4th grader:

6th grader:

We’ve actually had quite a bit of fun talking about area and perimeter over the years. Here are a few sample projects – including projects with computers, Zometool, and manipulatives – that I think kids would find fun in investigating area and perimeter:

(1) Area Perimeter and Fence Posts

(2) What learning math sometimes looks like: the triangle inequality

(3) The rope around the Earth problem

(4) An interesting Robert Kaplinsky post shared by Tracy Johnston Zager

(6) Using the Koch Snowflake to introduce fractals to kids

(7) Using manipulatives for a fun twist on Dan Meyer’s geometry problem

(8) Some fun with Archimedes and Pi