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Ch 44: OAE Middle Grades Math: The Pythagorean Theorem

About This Chapter

Watch these video lessons on the uses of the Pythagorean theorem to find missing triangle sides and solve functional problems. Complete practice problems included in the multiple-choice quizzes to prepare for these types of questions on the OAE Middle Grades Math exam.

OAE Middle Grades Math: The Pythagorean Theorem - Chapter Summary

Get a quick review of geometry basics when you watch this chapter's self-paced video lessons. Instructors go over the applications of the Pythagorean theorem to prepare you for OAE Middle Grades Math questions that ask you to do the following:

  • Recognize special cases and converses
  • Identify right triangles
  • Find a right triangle's missing sides
  • Find a right triangle's hypotenuse
  • Solve functional problems

This chapter's concise video lessons offer expert instruction designed to help you hone the problem-solving skills tested on your teacher licensing exam. Watch the videos or take the multiple-choice quizzes as many times as you need to affirm your understanding of these geometry concepts.

OAE Middle Grades Math: The Pythagorean Theorem Chapter Objectives

Passing scores on the OAE Middle Grades Math exam are among the requirements for Ohio teacher licensing in this subject area. The exam includes 150 multiple-choice questions. Around 25% of them will assess your knowledge of measurement and geometry topics, such as scale factors, polygon and circle properties, shape similarity and three-dimensional figures. Lessons in this chapter can prepare you for measurement and geometry questions focusing on your familiarity with the Pythagorean theorem and its applications.

5 Lessons in Chapter 44: OAE Middle Grades Math: 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 Ohio Assessments for Educators - Middle Grades Mathematics: Practice & Study Guide course

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