Ch 16: GACE Middle Grades Math: Number Theory

About This Chapter

Get ready for questions on the GACE Middle Grades Math assessment on number theory with this chapter. Engaging video lessons and self-assessment quizzes are included for your preparation.

GACE Middle Grades Math: Number Theory - Chapter Summary

Consult this chapter's online video lessons as you prepare to answer number theory questions on the GACE Middle Grades Math examination. The lessons will serve as tutorials that bring to mind concepts you've already learned. Reinforce your ability to identify prime numbers as well as your capacity to work with integers and to understand prime factorization. The videos in this chapter could assist you with:

  • Recognizing odd, even, prime and composite numbers
  • Finding prime factorization and using exponents
  • Calculating the greatest common factor and the least common multiple
  • Solving word problems that involve the least common multiple or the greatest common factor

You'll re-examine these topics with the help of the accomplished video instructors who aim to prepare you for the GACE Middle Grades Math examination. The videos themselves are brief and easy to follow. They consist of text transcripts as well as video tags that help you find the facts you need quickly. Study at your convenience and submit your questions as they arise. The lesson quizzes and the chapter examination will test your renewed understanding of number theory.

9 Lessons in Chapter 16: GACE Middle Grades Math: Number Theory
Test your knowledge with a 30-question chapter practice test
What Are Prime Numbers? - Definition & Examples

1. What Are Prime Numbers? - Definition & Examples

In this lesson, we'll do a brief review of factors, and then learn how factors make prime numbers unique. You can also test your knowledge with a brief quiz.

What Are Composite Numbers? - Definition & Examples

2. What Are Composite Numbers? - Definition & Examples

In this lesson, you'll learn what composite numbers are and briefly touch on prime numbers. You'll also learn a couple of rules about composite numbers. Then, you can test your new knowledge with a brief quiz.

What Are Odd & Even Numbers? - Definition & Examples

3. What Are Odd & Even Numbers? - Definition & Examples

In this lesson, you'll learn what odd and even numbers are with the help of some visual aids. You'll also learn some interesting properties of odd and even numbers. Then, you can test your new knowledge with a brief quiz.

How to Find the Prime Factorization of a Number

4. How to Find the Prime Factorization of a Number

The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.

Finding the Prime Factorization with Exponents

5. Finding the Prime Factorization with Exponents

After watching this video lesson, you will be able to factor any number using just prime numbers and exponents. Learn how to break apart any number you are given. Then, test your new knowledge with some examples.

How to Find the Greatest Common Factor

6. How to Find the Greatest Common Factor

If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!

How to Find the Least Common Multiple

7. How to Find the Least Common Multiple

The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!

Using Prime Factorizations to Find the Least Common Multiples

8. Using Prime Factorizations to Find the Least Common Multiples

Finding the least common multiple can seem like a lot of work. But we can use prime factorization as a shortcut. Find out how and practice finding least common multiples in this lesson.

Word Problems: Greatest Common Factor & Least Common Multiple

9. Word Problems: Greatest Common Factor & Least Common Multiple

In this video lesson, you will learn what kinds of word problems you can expect to see that involve the greatest common factor or the least common multiple. Learn what you need to do to understand these problems and then to solve them.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the GACE Middle Grades Mathematics (013): Practice & Study Guide course

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