# Ch 5: 8th Grade Math: Factoring

### About This Chapter

## Factoring - Chapter Summary

Through the video lessons in this factoring chapter, you can teach your 8th grade students about the process of finding equivalent expressions and simplifying fraction notation. Middle schoolers also see how to use division to reduce fractions as well as how to combine numbers and variables. Use the chapter examination, along with the multiple-choice lesson quizzes, to make sure your students understand factoring.

## Chapter Lessons and Objectives

Lesson | Objective |
---|---|

What is Factoring in Algebra? - Definition & Example | Students discover the steps for algebra factoring. |

Equivalent Expressions and Fraction Notation | Instructors teach students about equivalent fractions. |

Factoring Out Variables: Instructions and Examples | This lesson outlines the steps for factoring variables with exponents. |

Combining Numbers and Variables When Factoring | Students discover how to combine variables and numbers. |

Transforming Factoring Into a Division Problem | This lesson teaches students to find and divide by the greatest common factor. |

Factoring by Grouping: Steps, Verification and Examples | In this lesson, students learn about grouping and factoring, and they complete practice problems. |

Finding Factors of Whole Numbers | Students are taught how to find factors of any whole numbers. |

Finding Multiples of Whole Numbers | This lesson gives techniques for finding multiples of whole numbers, including visualization. |

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 7. 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.

### 8. 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 8th Grade Math: Practice & Review course

- 8th Grade Math: Basic Arithmetic Operations
- 8th Grade Math: Divisibility
- 8th Grade Math: Number Properties
- 8th Grade Math: Number Theory
- 8th Grade Math: Estimation and Rounding
- 8th Grade Math: Whole Numbers
- 8th Grade Math: Simplifying Whole Number Expressions
- 8th Grade Math: Negative Numbers
- 8th Grade Math: Absolute Value
- 8th Grade Math: Integers
- 8th Grade Math: Rational Numbers
- 8th Grade Math: Inequalities
- 8th Grade Math: Introduction to Decimals
- 8th Grade Math: Operations with Decimals
- 8th Grade Math: Introduction to Fractions
- 8th Grade Math: Operations with Fractions
- 8th Grade Math: Percents
- 8th Grade Math: Exponents & Exponential Expressions
- 8th Grade Math: Roots & Radical Expressions
- 8th Grade Math: Basic Algebraic Expressions
- 8th Grade Math: Algebraic Distribution
- 8th Grade Math: Simplifying & Solving Rational Expressions
- 8th Grade Math: The Coordinate Graph
- 8th Grade Math: Linear Equations
- 8th Grade Math: Systems of Linear Equations
- 8th Grade Math: Properties of Functions
- 8th Grade Math: Graphing Functions
- 8th Grade Math: Solving Math Word Problems
- 8th Grade Math: Introduction to Geometric Figures
- 8th Grade Math: Triangles in Geometry
- 8th Grade Math: Quadrilaterals in Geometry
- 8th Grade Math: Circles in Geometry
- 8th Grade Math: Circular Arcs & Measurement in Geometry
- 8th Grade Math: Polyhedrons and Geometric Solids
- 8th Grade Math: Symmetry, Similarity & Congruence in Geometry
- 8th Grade Math: Triangle Theorems and Proofs in Geometry
- 8th Grade Math: Similar Polygons in Geometry
- 8th Grade Math: The Pythagorean Theorem in Geometry
- 8th Grade Math: Units of Measurement
- 8th Grade Math: Measuring Perimeter & Area
- 8th Grade Math: Data & Graphs
- 8th Grade Math: Probability
- 8th Grade Math: Statistics
- 8th Grade Math: Rates, Ratios & Proportions
- 8th Grade Math: Consumer Math
- 8th Grade Math: Number Sequences
- 8th Grade Math: Sets & Subsets
- 8th Grade Math: Algebraic Monomials & Polynomials