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Ch 5: NMTA Middle Grades Math: Number Theory

About This Chapter

New Mexico has replaced the NMTA Middle Grades Mathematics test with the National Evaluation Series Middle Grades Mathematics test. Watch engaging video lessons to refresh your knowledge of number theory then take lesson quizzes to gauge your readiness to take the NES Middle Grades Mathematics test.

NMTA Middle Grades Math: Number Theory - Chapter Summary

In this chapter, you'll find video lessons designed to help you brush up on number theory as you get ready to take your NES Middle Grades Mathematics test. The lessons provide you with the basics of this topic so you'll feel prepared to answer questions related to the following:

  • Finding the greatest common factor and least common multiple
  • Using prime factorization to find the least common multiples
  • Understanding the least common multiple in word problems
  • Defining prime numbers, composite numbers and odd and even numbers
  • Finding the prime factorization of a number
  • Understanding the greatest common factor in word problems
  • Getting the gist of finding the prime factorization with exponents

The skilled instructors in the video lessons offer high-quality content designed to help you fully understand number theory as you prepare to take your assessment. Their engaging approach to instruction makes learning fun, while ensuring you have the knowledge necessary to answer exam questions with confidence.

NMTA Middle Grades Math: Number Theory Chapter Objectives

The NES Middle Grades Mathematics test is designed to ensure you have the skills necessary to offer quality instruction in the classroom and are qualified to secure teaching licensure in New Mexico. The topics covered in the NMTA Middle Grades Math: Number Theory chapter are found in the number sense and operations section of the test, which constitutes about 17% of the total exam. Watch the video lessons in this chapter to refresh your knowledge of number theory and take the self-assessment quizzes to answer practice questions very similar to those you'll find on the exam.

The NES Middle Grades Mathematics test is comprised of all multiple-choice questions that typically take the form of sentences, short paragraphs and questions. Each question is followed by four answers, one of which you will be asked to choose as the best option.

6 Lessons in Chapter 5: NMTA Middle Grades Math: Number Theory
Test your knowledge with a 30-question chapter practice test
How to Find the Prime Factorization of a Number

1. 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

2. 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

3. 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

4. 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

5. 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

6. 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 NMTA Middle Grades Mathematics (203): Practice & Study Guide course

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