Ch 42: MTEL Math: The Pythagorean Theorem

About This Chapter

Use the lessons of this chapter to prepare for questions on the MTEL Mathematics exam. Learn about the Pythagorean theorem and how it can help you find the properties of right triangles.

MTEL Math: The Pythagorean Theorem - Chapter Summary

As you get ready for the MTEL Mathematics exam, look to this chapter. In this series of short lesson videos, our professional instructors will demonstrate how to find the properties of right triangles using the Pythagorean theorem. Follow along with our instructors to improve your skills:

  • Using the Pythagorean theorem in converse and special cases
  • Finding the hypotenuse and legs of right triangles
  • Completing functional problems that involve the Pythagorean theorem

If you feel you don't have much time to spend in front of your computer, watch these lessons at your own convenience on your Internet-ready mobile devices. To reinforce your retention of the information presented in these lessons, read the transcripts. These written overviews of the lessons will not only help review the material but will also help you study the key terms and figures of the chapter. If at any time during this course you develop a question regarding one of the topics in this chapter, be sure to ask our instructors for assistance via the teacher tabs of the lessons.

MTEL Math: The Pythagorean Theorem Chapter Objectives

The state of Massachusetts uses the Massachusetts Test for Educator Licensure (MTEL) Mathematics exam to measure the mathematical skills and knowledge of math teacher candidates. This exam is a computer-based test composed of 100 multiple-choice questions and two open-response assignments. On test day, you will be asked to respond to these questions in a four-hour testing session. Of the material covered in this exam, 19% will be multiple-choice questions about geometry and measurements. Prepare for some of the questions in this domain that require you to use the Pythagorean theorem by completing the lessons and assessments of this chapter.

5 Lessons in Chapter 42: MTEL 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 MTEL Mathematics (09): Practice & Study Guide course

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