We created some notes over right triangle parts (legs, hypotenuse) and investigated a proof of the Pythagorean Theorem based on area. We then used what we know about the Pythagorean Theorem to improve our algebraic problem solving skills. We practiced finding a hypotenuse, finding a missing leg, and deciding if three distances will make a right triangle. Students should have some notes over each type of problem. We then practiced 6 problems in class to make sure we "had it".
Homework #16 was a handout (half-sheet), attached below, that has several problems to be solved with Pythagorean Theorem, showing work with algebra. The last part (1-7, omit 6) is to plug in the three numbers in the PT to see if the triangle is a right triangle. If not, decide if it is obtuse or acute. Students also got to see their test scores and plan make-ups.