Today we started a right triangle unit in Geometry. This is probably the most useful unit of study in our curriculum. Right triangles make the world go round, so to speak.
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.
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.
geometry_2017_hw_16_-_pythagoras.pdf |