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Ch 46: 6th-8th Grade Geometry: The Pythagorean Theorem

About This Chapter

Help your 6th, 7th or 8th graders improve their understanding of the Pythagorean Theorem through this chapter's lessons. You can view videos that demonstrate uses of the Pythagorean Theorem and then use the multiple-choice quizzes to measure students' grasp of this mathematical formula.

The Pythagorean Theorem - Chapter Summary

The lessons in this chapter review the Pythagorean Theorem and how it can be used to find various properties of a triangle, such as the length of the hypotenuse. Each lesson includes a short video where instructors present key theories using fun graphics and real-life examples. The lessons also include practice quizzes, video transcripts that highlight important terms and equations, and an end-of-chapter test that can be used to reinforce key concepts of Pythagoras' Theorem.

Chapter Lessons and Objectives

Lesson Objective
The Pythagorean Theorem: Practice and Application Instructors explain the Pythagorean Theorem and demonstrate real-life applications.
The Pythagorean Theorem: Converse and Special Cases Students learn to prove the converse and identify special cases of the Pythagorean Theorem.
How to Find the Hypotenuse of a Right Triangle Using the Pythagorean Theorem Instructors teach the procedures for finding the hypotenuse of a right angled triangle.
How to Find Shorter Sides on a Right Triangle Using the Pythagorean Theorem This lesson shows students how to determine the length of one of the shorter sides of a right triangle using the Pythagorean Theorem.
How to Solve Functional Problems Involving the Pythagorean Theorem In this lesson, instructors demonstrate ways to solve function problems using the Pythagorean Theorem.

5 Lessons in Chapter 46: 6th-8th Grade Geometry: The Pythagorean Theorem
The Pythagorean Theorem: Practice and Application

1. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

The Pythagorean Theorem: Converse and Special Cases

2. The Pythagorean Theorem: Converse and Special Cases

The Pythagorean Theorem is a famous theorem for right triangles. Watch this video to learn how the Pythagorean Theorem relates to the law of cosines and how the converse of the Pythagorean Theorem can help you identify right triangles.

How to Find the Hypotenuse of a Right Triangle Using the Pythagorean Theorem

3. How to Find the Hypotenuse of a Right Triangle Using the Pythagorean Theorem

After watching this video lesson, you will be able to use the Pythagorean Theorem and its resultant formula to help you find the length of the hypotenuse of a right triangle when you know the measurements of the triangle's two other sides.

How to Find Shorter Sides on a Right Triangle Using the Pythagorean Theorem

4. How to Find Shorter Sides on a Right Triangle Using the Pythagorean Theorem

Sure, the Pythagorean Theorem is useful for finding the hypotenuse of a right triangle, but what about the other sides? As this lesson shows, it's just a matter of flipping the formula.

How to Solve Functional Problems Involving the Pythagorean Theorem

5. How to Solve Functional Problems Involving the Pythagorean Theorem

One of the most useful aspects of studying triangles is the Pythagorean Theorem. In this lesson, we use it to find the unknown length of a side of a triangle, whether it is a shorter side or the hypotenuse.

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Other Chapters

Other chapters within the 6th-8th Grade Math: Practice & Review course

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