Wheels of Theodorus
During our study of radical numbers, I showed students how easy it was to draw a line of length √2. In class we used square templates to draw two adjacent sides of a 1 inch by 1 inch square. Then the diagonal of that square, although being a difficult number to write as a decimal, was easily visualized as √2. We spent ½ of a class period using the hypotenuse of a 1  1  √2 triangle and a new 1 inch, rightangled leg, to create a new right triangle adjacent to the first = 1  √2  √3 triangle.
After that class period involving drawing adjacent right triangles and using the Pythagorean Theorem to calculate the hypotenuses, the Wheel of Theodorus assignment was set as an athome project.

Mollie made a beautiful Wheel that reminded her of a shell on the beach. 

John made his wheel into a french horn. 
Will made a scary monster snailthing for his Wheel. 
Kristina's involved a tongue and a lolly pop. 
Luke's was interesting. 
Melanie drew a beach ball in use. 
Jessica's sun 
Ben created a snail on the beach. 