Ch 24: AEPA Middle Grades Math: Factoring

About This Chapter

The AEPA exam for teacher certification in Arizona has been replaced with the National Evaluation Series (NES) Middle Grades Mathematics exam. Use the lessons in this chapter to review the principles of factoring in algebra. The self-assessment quizzes are a great way to gauge your progress.

AEPA Middle Grades Math: Factoring - Chapter Summary

The NES Middle Grades Mathematics exam tests heavily on algebraic concepts, and this chapter on factoring can help you review. After completing the lessons, you should have a clear understanding of:

  • Algebraic factoring
  • Equivalent expressions and fractional notation
  • Factoring numbers and variables together
  • Factoring problems through division
  • Using grouping to factor
  • Multiples and factors of whole numbers

Our short lessons and engaging graphics make review a snap. Use the embedded video tags to look up topics or use the lesson transcript to verify information or terminology. If you have any questions, we have subject experts waiting to help. As you review, take the self-assessment quizzes located throughout the chapter to measure your progress.

9 Lessons in Chapter 24: AEPA Middle Grades Math: Factoring
What is Factoring in Algebra? - Definition & Example

1. What is Factoring in Algebra? - Definition & Example

Factoring with ordinary numbers involves knowing that 6 is the product of 2 and 3. But what about factoring in algebra? In this lesson, we'll learn the essential elements of algebra factoring.

Equivalent Expressions and Fraction Notation

2. Equivalent Expressions and Fraction Notation

Did you know that two fractions can look completely different, but actually be the same? In this lesson, we'll learn about equivalent fractions. We'll also learn to simplify fraction notation.

Factoring Out Variables: Instructions & Examples

3. Factoring Out Variables: Instructions & Examples

Let's find the factors. In this lesson, we'll learn how to factor out numbers or variables from an expression. We'll even learn how to factor variables with exponents.

Combining Numbers and Variables When Factoring

4. Combining Numbers and Variables When Factoring

With an expression, you know how to factor out a number, and you know how to factor out a variable. In this lesson, we'll learn how to factor out combined numbers and variables.

Transforming Factoring Into A Division Problem

5. Transforming Factoring Into A Division Problem

Watch this video lesson to learn how you can factor a problem by turning it into a division problem. Learn how this actually helps you to factor and keep your numbers straight.

Factoring By Grouping: Steps, Verification & Examples

6. Factoring By Grouping: Steps, Verification & Examples

How do you factor an expression if all the terms don't share a common factor? Grouping! In this lesson, we'll learn how to use grouping to help factor expressions.

Arithmetic with Whole Numbers

7. Arithmetic with Whole Numbers

There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.

Finding Factors of Whole Numbers

8. Finding Factors of Whole Numbers

After watching this video lesson, you will be able to factor any whole number that you are given. You will learn what factors are and how a whole number can have several different factors.

Finding Multiples of Whole Numbers

9. Finding Multiples of Whole Numbers

After watching this video lesson, you will become a pro at finding multiples of whole numbers. Learn what they are and how you can visualize the process to make it easier for you.

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Other Chapters

Other chapters within the AEPA Middle Grades Mathematics: Practice & Study Guide course

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