Ch 5: NES Middle Grades Math: Number Theory

About This Chapter

This chapter emphasizes number theory, and it includes relevant definitions and examples of word problems to strengthen your solving capabilities. Review the chapter's video lessons in anticipation of performing well on the NES Middle Grades Math test.

NES Middle Grades Math - Number Theory - Chapter Summary

This chapter on number theory is designed to contribute to your existing comprehension of multiples, factors, prime and composite numbers as well as the processes involved in prime factorization. Review the chapter's video lessons before you go on to take the NES Middle Grades Math examination. When you explore this chapter, you could increase your ability to:

  • Define and differentiate between prime, composite, odd and even numbers
  • Calculate a number's prime factorization
  • Factor numbers with prime numbers and exponents
  • Solve word problems with the greatest common factor and the least common multiple
  • Find the least common multiple with prime factorization

Each of these short video lessons is narrated by a knowledgeable instructor. Prepare for the NES Middle Grades Math examination by watching or listening to the videos, referring to the accompanying transcripts and worksheets, and asking questions of the experts as necessary. When you feel you've got a firmer understanding of number theory, take the lesson quizzes. You can take them again if needed, then print out the results for future reference.

NES Middle Grades Math - Number Theory Objectives

Number theory questions are represented on the Number Sense and Operations content domain of the NES Middle Grades Math examination. Demonstrate your proficiency at applying these concepts as they relate to prime factorization, the greatest common factor and the least common multiple. The Number Sense and Operations domain is the first of four examination domains, and it accounts for 17% of the test score. Provide accurate answers to the examination's 150 multiple-choice questions in order to qualify for a middle grades mathematics teaching certification. This computer-based assessment should take no longer than four hours and 15 minutes to finish.

9 Lessons in Chapter 5: NES 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 NES Middle Grades Mathematics (203): Practice & Study Guide course

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