About This Chapter
Below is a sample breakdown of the Rational Expressions 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 Multiply and Divide Rational Expressions; |
Multiplying and Dividing Rational Expressions: Practice Problems
| Factoring and reducing rational polynomial expressions; |
Finding solutions to division and multiplication problems involving rational expressions
|Tuesday||How to Add and Subtract Rational Expressions||Factoring and rewriting fractions|
|Wednesday||Practice Adding and Subtracting Rational Expressions||Simplifying numerators and writing solutions in simplified form|
|Thursday||How to Solve a Rational Equation||The process of finding a common denominator, simplifying and solving rational equations|
|Friday||Rational Equations: Practice Problems||The process of clearing a fraction from an equation|
1. How to Multiply and Divide Rational Expressions
Multiplying and dividing rational polynomial expressions is exactly like multiplying and dividing fractions. Like fractions, we will reduce. With polynomial expressions we use factoring and canceling. I also give you a little mnemonic to help you remember when you need a common denominator and when you don't.
2. Multiplying and Dividing Rational Expressions: Practice Problems
Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.
3. How to Add and Subtract Rational Expressions
Adding and subtracting rational expressions brings everything you learned about fractions into the world of algebra. We will mix common denominators with factoring and FOILing.
4. Practice Adding and Subtracting Rational Expressions
Adding and subtracting rational expressions can feel daunting, especially when trying to find a common denominator. Let me show you the process I like to use. I think it will make adding and subtracting rational expressions more enjoyable!
5. How to Solve a Rational Equation
A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!
6. Rational Equations: Practice Problems
Mario and Bill own a local carwash and have several complex tasks that they must use rational equations to solve for an answer. Enjoy learning how they solve these equations to help them with some of their day-to-day tasks.
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Other chapters within the College Algebra Syllabus Resource & Lesson Plans course
- Foundations & Linear Equations: College Algebra Lesson Plans
- Matrices & Absolute Value: College Algebra Lesson Plans
- Inequalities: College Algebra Lesson Plans
- FOIL, Parabolas & Quadratics: College Algebra Lesson Plans
- Complex Numbers: College Algebra Lesson Plans
- Exponents & Polynomials: College Algebra Lesson Plans
- Functions: College Algebra Lesson Plans
- Exponentials & Logarithms: College Algebra Lesson Plans
- Probability Mechanics: College Algebra Lesson Plans
- Sequences & Series: College Algebra Lesson Plans