Students will learn three ways of solving the three squares geometry puzzle. That is, in the figure below, what is \(\alpha + \beta + \gamma?\)

Students should be given time to think about how to solve the problem, but most students won't be able to solve it, and after a while, you can give them the hint shown here. After students have received the hint, the puzzle is very doable. After students have found the solution which follows from the hint, show them these additional methods of solution.