Exploring Triangles

In this activity students explore an incorrect statement about isosceles triangles that the scarecrow from The Wizard of Oz makes, seen here http://www.math.harvard.edu/~knill/mathmovies/swf/ozz.html. Then students explore right triangles with a related clip from The Simpsons, seen here https://www.youtube.com/watch?v=fO1Vhc88QkM. This leads to the Pythagorean Theorem. Students are shown an existing model and are asked to create their own. More detailed instructions are included in the Worksheet Solutions handout attached.