Ch 44: AEPA Middle Grades Math: The Pythagorean Theorem

About This Chapter

Arizona has replaced the AEPA Middle Grades Math exam with the National Evaluation Series (NES) Middle Grades Mathematics test. This chapter offers engaging video lessons and lesson quizzes to help you prepare for questions related to the Pythagorean theorem on this teacher certification exam.

AEPA Middle Grades Math: The Pythagorean Theorem - Chapter Summary

This chapter's lessons will help you prepare for the AEPA Middle Grades Math questions related to using the Pythagorean theorem to find measurements of right triangles and solve functional problems. You'll learn about:

  • Applying the Pythagorean theorem
  • Using the Pythagorean theorem in converse and special cases
  • Finding the hypotenuse and the short sides of a right-angled triangle
  • Solving functional problems with the Pythagorean theorem

Our professional instructors will show you how to use the Pythagorean theorem as you prepare for the test. You'll get a chance to practice your skills with these engaging lessons.

Objectives of the AEPA Middle Grades Math: Pythagorean Theorem Chapter

Everyone desiring an Arizona teaching certification in middle grades math must pass this exam. The test covers a broad range of mathematics topics, including algebra, number sense and probability. Questions on the Pythagorean theorem are in the Measurement and Geometry section, which makes up 25% of the 150-question exam.

All questions and problems are multiple choice, with four options for answers. You can practice answering these kinds of questions in our self-assessment quizzes that accompany each lesson.

5 Lessons in Chapter 44: AEPA 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 AEPA Middle Grades Mathematics (NT203): Practice & Study Guide course

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