Ch 43: GACE Middle Grades Math: The Pythagorean Theorem

About This Chapter

As you study for the GACE Middle Grades Math assessment, you will need to know about some of the major mathematical formulas, including the Pythagorean theorem. Learn more about this topic by watching our video lessons and reviewing our transcripts.

GACE Middle Grades Math: The Pythagorean Theorem - Chapter Summary

View the video lessons in this chapter to find out all the details about Pythagoras and his mathematical theorem. Discover how to apply his theorem to geometry-based questions that may be on the GACE Middle Grades Math assessment. Upon completing this chapter, you should have a deeper understanding of the following:

  • The application of the Pythagorean Theorem
  • Identifying the shorter sides on a right-angled triangle
  • Special cases and converse cases
  • Determining the hypotenuse of a right-angled triangle
  • Answering functional problems with the theorem

Our brief and engaging videos make learning more enjoyable. As you watch each video lesson, the instructor will walk you through the topics and present plenty of examples and real-world applications. All of our video lessons have transcripts, so you can read through the materials as well, and memorize key terms. There is no limit to how many times you can watch the videos or read the transcripts, which is nice not only for regular study sessions, but also for those last-minute cram sessions. If you want to evaluate how much you have learned, or how well you might do on the GACE Middle Grades Math assessment, try taking the lesson quizzes and the chapter exam.

GACE Middle Grades Math: The Pythagorean Theorem Objectives

Educators in Georgia take the GACE Middle Grades Math assessment as a way to evaluate their teaching skills and knowledge of mathematics. This 2-hour computer-based assessment contains 45 questions, and individuals must select the best answer for each question. The questions are divided into two main categories. About two-thirds of the questions focus on algebra and arithmetic, and the remaining one-third includes questions about data and geometry. By going through the materials in this chapter, you should be better equipped to use the Pythagorean theorem to answer geometry-related questions, which should help you feel more confident during the assessment.

5 Lessons in Chapter 43: GACE 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 GACE Middle Grades Mathematics (013): Practice & Study Guide course

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