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Ch 7: Properties of Polynomials: College Math Lesson Plans

About This Chapter

The Properties of Polynomials chapter of this course is designed to help you plan and teach the students in your classroom how to graph, add, subtract, multiply and divide polynomials. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the Properties of Polynomials chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday How to Graph Cubics, Quartics, Quintics and Beyond The process of graphing an equation that has local minimums and maximums
Tuesday How to Add, Subtract and Multiply Binomials Identifying similar terms in polynomials with various shapes
Wednesday How to Divide Polynomials with Long Division The steps for completing long division problems with polynomials
Thursday How to Use Synthetic Division to Divide Polynomials The process of writing and solving synthetic division problems
Friday Dividing Polynomials with Long and Synthetic Division: Practice Problems Rules for dividing polynomials and completing practice problems

5 Lessons in Chapter 7: Properties of Polynomials: College Math Lesson Plans
Test your knowledge with a 30-question chapter practice test
How to Graph Cubics, Quartics, Quintics and Beyond

1. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

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 Divide Polynomials with Long Division

3. 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

4. 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

5. 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!

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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