Ch 45: ORELA Middle Grades Math: The Pythagorean Theorem

About This Chapter

Use this chapter to get a quick refresher on the Pythagorean Theorem. The videos in these lessons provide an overview of the applications and special cases for using this mathematical theorem in preparation for the ORELA Middle Grades Mathematics exam.

ORELA Middle Grades Math: The Pythagorean Theorem - Chapter Summary

This chapter includes a review of the uses for the Pythagorean Theorem. Our experienced instructors can help you prepare for the ORELA Middle Grades Mathematics exam through lessons on the following topics:

  • General applications of the Pythagorean Theorem
  • Special cases for using the Pythagorean Theorem
  • Finding the hypotenuse
  • Determining the length of the shorter sides of a triangle
  • Solving other functional problems using Pythagoras' Theorem

Each of the lessons not only includes a short 5-10 minute video but also has lesson transcripts that highlight key terms and formulas for easy reference. After watching the videos, you can take the chapter quiz to test your understanding and get practice in answering the types of questions you may encounter on exam day.

ORELA Middle Grades Math: The Pythagorean Theorem Chapter Objectives

The Middle Grades Mathematics exam is a computer-based test that includes 150 multiple-choice questions that cover four main content areas within math. Of these 150 questions, approximately 25% are from the measurement and geometry content area - which is where questions on the Pythagorean Theorem would be found. You'll have 255 minutes to complete the test, and you must earn a score of 225 or higher to pass.

You can prepare for this state teaching credential exam through the videos and quizzes in this chapter. These lessons are specifically designed to help you prepare for questions related to applying the Pythagorean Theorem and its converse to solve problems.

5 Lessons in Chapter 45: ORELA Middle Grades Math: The Pythagorean Theorem
Test your knowledge with a 30-question chapter practice test
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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the ORELA Middle Grades Mathematics: Practice & Study Guide course

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