Student will learn what the Pythagorean theorem is and see several proofs of it. Students will also learn how to use the theorem to solve word problems and mathematical ones. Sometimes they will be asked to find exact answers, and other times they will be asked to use a calculator and round. Here's an example of the latter:
A right triangle has two side lengths of 7cm. Use a calculator to find the hypotenuse, rounded to 1 decimal place.
Next, students will learn how to classify a triangle as scalene, isosceles, or equilateral given the coordinates of the triangle's vertices. They will find the distance between each pair of points by using the Pythagorean theorem or the absolute difference. Here's one problem being solved. After that, give your students this challenge, then this one, then this one, then this one, then this one, then this one. Finally, lead this investigation.
TODO: Which proofs will they see, exactly?