This YouTube video will help explain how to teach the Pythagorean Theorem and Its Converse using a worksheet from Kuta Software. Kuta Software is free software for math teachers that creates worksheets in a matter of minutes. There are two videos available to fully teach this concept. The videos are labeled The Pythagorean Theorem And Its Converse Part 1 and The Pythagorean Theorem And Its Converse Part 2. This video is 12 minutes and 17 seconds in length.
This YouTube video will help explain how to teach the Pythagorean Theorem and Its Converse using a worksheet from Kuta Software. Kuta Software is free software for math teachers that creates worksheets in a matter of minutes. There are two videos available to fully teach this concept. The videos are labeled The Pythagorean Theorem And Its Converse Part 1 and The Pythagorean Theorem And Its Converse Part 2. This video can be played as a continuation of a lesson on the Pythagorean theorem and Its Converse. This video is 11 minutes and 50 seconds in length.
Learn why the Pythagorean theorem works for finding side lengths of right triangles. This video focuses on modeling what the Pythagorean theorem actually means and why it will find the missing side of a right triangle. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.
Module 7, Topic C revisits the Pythagorean Theorem and its applications, now in a context that includes the use of square roots and irrational numbers. Students learn another proof of the Pythagorean Theorem involving areas of squares off of each side of a right triangle (8.G.B.6). Another proof of the converse of the Pythagorean Theorem is presented to students, which requires an understanding of congruent triangles (8.G.B.6). With the concept of square roots firmly in place, students apply the Pythagorean Theorem to solve real-world and mathematical problems to determine an unknown side length of a right triangle and the distance between two points on the coordinate plane (8.G.B.7, 8.G.B.8).
Optional Module 2, Topic D begins the learning of the Pythagorean Theorem. Students are shown the “square within a square” proof of the Pythagorean Theorem. The proof uses concepts learned in previous topics of the module, i.e., the concept of congruence and concepts related to degrees of angles. Students begin the work of finding the length of a leg or hypotenuse of a right triangle using a2 + b2 = c2. Note that this topic will not be assessed until Module 7.
It is recommended that students have some experience with the lessons in Topic D from Module 2 before beginning these lessons. In Lesson 13 of Module 3, Topic C, students are presented with a general proof that uses the Angle-Angle criterion. In Lesson 14, students are presented with a proof of the converse of the Pythagorean Theorem. Also in Lesson 14, students apply their knowledge of the Pythagorean Theorem (i.e., given a right triangle with sides a, b, c, where c is the hypotenuse, then a2 + b2 = c2) to determine unknown side lengths in right triangles. Students also use the converse of the theorem (i.e., given a triangle with lengths a, b, c, so that a2 + b2 = c2 then the triangle is a right triangle with hypotenuse c) to determine if a given triangle is in fact a right triangle.
