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Ch 25: WEST Middle Grades Math: Monomials & Polynomials

About This Chapter

The WEST Middle Grades Mathematics certification exam has been replaced with the NES Middle Grades Mathematics. In preparation for this certification exam complete the activities of this chapter to improve your understanding of mathematical operations with monomials and polynomials, as well as basic graphs of polynomials.

NES Middle Grades Mathematics: Monomials & Polynomials - Chapter Summary

Watch these lesson videos on mathematical operations with monomials and polynomials as part of your preparation for the National Evaluation Series (NES) Middle Grades Mathematics. Follow our instructors as they walk through the steps used to add, subtract, multiply, divide, simplify and graph monomials and polynomials so that you will be prepared for questions related to:

  • Adding, subtracting, multiplying and dividing polynomials
  • Evaluating polynomials in function notation
  • Polynomial graphs and basic transformations of polynomial graphs
  • Uses for Pascal's Triangle
  • The Binomial Theorem
  • Operations with polynomials in multiple variables

While following the lesson videos, be sure to complete the lesson worksheets and quizzes to reinforce your abilities working with monomials and polynomials. Using the results from your lesson quizzes you can find areas of weakness then return to the lesson videos to fortify your mastery of the material. Organize this second review with video tags that allow you to go straight to the key points of the lesson videos. If you feel you would benefit more from an alternative way of reviewing the topics, try reading over the lesson transcripts that present the same material but in an written format.

NES Middle Grades Mathematics: Monomials & Polynomials Objectives

The state of Washington uses the NES Middle Grades Mathematics to measure math educators' mastery over Middle Grades Mathematics. This computer based certification exam is composed of 150 multiple-choice questions and takes four hours and 15 minutes to complete. Of the material covered by the exam 33% covers the domain of Algebra and Functions, including the competency of understanding algebraic techniques and applications. Use the lesson videos, worksheets and quizzes of this chapter to improve your abilities working with monomials and polynomials to be prepared for possible related questions.

11 Lessons in Chapter 25: WEST Middle Grades Math: Monomials & Polynomials
Test your knowledge with a 30-question chapter practice test
What Are Monomials & Polynomials?

1. What Are Monomials & Polynomials?

Watch this video lesson to learn how coefficients and variables combine to form monomials and polynomials. You'll also find out how the exponent determines the degree of polynomials.

How to Add, Subtract and Multiply Polynomials

2. How to Add, Subtract and Multiply Polynomials

Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!

How to Evaluate a Polynomial in Function Notation

3. How to Evaluate a Polynomial in Function Notation

This lesson will review how to evaluate polynomials in function notation. Along with an analogy to explain the process, examples will be given and worked during the lesson.

Understanding Basic Polynomial Graphs

4. Understanding Basic Polynomial Graphs

This lesson will cover understanding basic polynomial graphs. The lesson focuses on how exponents and leading coefficients alter the behavior of the graphs.

Basic Transformations of Polynomial Graphs

5. Basic Transformations of Polynomial Graphs

The basic transformations for a graph are movement up and down, left and right, pinched or stretched graphs, and flipped graphs. This lesson will review how to accomplish each of these transformations.

Pascal's Triangle: Definition and Use with Polynomials

6. Pascal's Triangle: Definition and Use with Polynomials

Pascal's Triangle is defined and discussed briefly. Following the introduction to the triangle, its use in expanding polynomial powers is elaborated with examples.

The Binomial Theorem: Defining Expressions

7. The Binomial Theorem: Defining Expressions

In this lesson, students will learn the binomial theorem and get practice using the theorem to expand binomial expressions. The theorem is broken down into its parts and then reconstructed.

How to Divide Polynomials with Long Division

8. How to Divide Polynomials with Long Division

Arithmetic long division and polynomial long division are very similar. Yes, it's a long process, but once you have the rhythm you will get every problem correct!

How to Use Synthetic Division to Divide Polynomials

9. How to Use Synthetic Division to Divide Polynomials

Synthetic division is a 'short-cut' way of dividing a polynomial by a monomial. You still need to know long division, sorry, but this method is way fun when you're dividing by a monomial!

Dividing Polynomials with Long and Synthetic Division: Practice Problems

10. Dividing Polynomials with Long and Synthetic Division: Practice Problems

Let's look at some more polynomial division problems. We will use long division and synthetic division, but this time we will have a couple of more involved problems. So, get out some paper and a pencil and let's begin!

Operations with Polynomials in Several Variables

11. Operations with Polynomials in Several Variables

In this video lesson, you will learn how to handle and work with polynomials that have more than one variable. This is important because in math you sometimes have to work with several variables at the same time.

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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