# Ch 15: Rational Expressions in Algebra II Lesson Plans

### About This Chapter

## Weekly Syllabus

Below is a sample breakdown of the Rational Expressions in Algebra II 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 | Multiplication and division | Multiply rational expressions, divide rational expressions |

Tuesday | Addition and subtraction | Add rational expressions, subtract rational expressions |

Wednesday | Solving rational equations | Methods for solving rational equations |

Thursday | Reciprocals, simplification and direct variation | Determining the reciprocal of a rational expression, simplifying complex and other rational expressions, determining equations of direct variation when variables are known |

Friday | Graphs, least common denominator | Graphing reflections, determining rational expressions' least common denominator to solve equations |

### 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.

### 7. Division and Reciprocals of Radical Expressions

Watch this video lesson to learn what you need to do when dividing radical expressions. Learn what you need to look out for before you divide and why you can't leave your radical in your denominator.

### 8. Simplifying Complex Rational Expressions

When it comes to fractions, things may seem to get really complicated and scary when you have a fraction on top of a fraction. But never fear, after watching this video lesson, you will be able to simplify these expressions like a pro.

### 9. Solving Equations of Direct Variation

In the real world, we come across a lot of problems that vary directly with each other. You will learn how to solve these types of direct variation problems in this video lesson.

### 10. How to Graph Reflections Across Axes, the Origin, and Line y=x

A graph can be reflected in three ways - across the axes, the origin and the line y = x. There are specific rules to perform each reflection. This lesson will describe those rules and show you how to perform these reflections.

### 11. Solving Rational Equations and Finding the Least Common Denominator

When solving rational equations, just like with any other fractions, you must first find the least common denominator. This lesson will show you how to find the least common denominator and also solve the rational equations.

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### Other Chapters

Other chapters within the Algebra II Curriculum Resource & Lesson Plans course

- Basic Arithmetic in Algebra II Lesson Plans
- Algebraic Expressions & Equations Lesson Plans
- Real Numbers in Algebra II Lesson Plans
- Complex & Imaginary Numbers in Algebra Lesson Plans
- Exponents & Exponential Expressions in Algebra Lesson Plans
- Properties of Functions in Algebra Lesson Plans
- Linear Equations in Algebra Lesson Plans
- Systems of Linear Equations in Algebra II Lesson Plans
- Working with Inequalities in Algebra Lesson Plans
- Matrices & Determinants in Algebra II Lesson Plans
- Absolute Value Review in Algebra II Lesson Plans
- Polynomials in Algebra II Lesson Plans
- Factoring in Algebra II Lesson Plans
- Quadratic Equations in Algebra II Lesson Plans
- Graphing & Functions in Algebra II Lesson Plans
- Roots & Radical Expressions in Algebra II Lesson Plans
- Exponential & Logarithmic Functions: Lesson Plans
- Conic Sections in Algebra II Lesson Plans
- Sequence & Series in Algebra II Lesson Plans
- Sets in Algebra II Lesson Plans
- Combinatorics in Algebra II Lesson Plans
- Lesson Plans for Calculations, Ratios, Percent & Proportions
- Statistics in Algebra II Lesson Plans
- Trigonometry in Algebra II Lesson Plans