About This Chapter
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|
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!
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!
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!
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!
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!
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Other chapters within the College Mathematics Syllabus Resource & Lesson Plans course
- Math Foundations: College Math Lesson Plans
- Linear Equations: College Math Lesson Plans
- Inequalities: College Math Lesson Plans
- Quadratic Equations: College Math Lesson Plans
- Complex & Imaginary Numbers: College Math Lesson Plans
- Properties of Exponents: College Math Lesson Plans
- Rational Expressions: College Math Lesson Plans
- Properties of Functions: College Math Lesson Plans
- Logarithms & Exponential Equations: College Math Lesson Plans
- Logic: College Math Lesson Plans
- Sets: College Math Lesson Plans
- Probability & Statistics: College Math Lesson Plans
- Geometry: College Math Lesson Plans