#### Lesson Plan

## Operations with Rational Expressions

### Alignments:

### Grade Levels

### Related Academic Standards

### Assessment Anchors

### Eligible Content

### Big Ideas

### Concepts

### Competencies

### Objectives

In this lesson, students will perform operations with rational expressions. Students will:

· find the sum of rational expressions.

· find the difference of rational expressions.

· find the product of rational expressions.

· find the quotient of rational expressions.

· solve applied problems involving operations with rational expressions.

### Essential Questions

· How can we extend arithmetic properties and processes to algebraic expressions and processes and how can we use these properties and processes to solve problems?

### Vocabulary

· **Polynomial:** An algebraic expression that contains one or more polynomials. **[IS.1 - Struggling Learners]** **[IS.2 - Struggling Learners]**

· **Least common denominator (LCD): **The least common multiple of the denominators in two or more fractions.

· **Expression:** A variable, or any combination of numbers, variables, and symbols that represent a mathematical relationship (e.g., 24 × 2 + 5 or 4*a* – 9).

· **Rational expression: **An expression that is the ratio, or quotient, of two polynomials.

· **Rational function:** A rational expression that is written in function form, or expressed as a function, i.e., *f*(*x*) = 2 / ( x – 3).

· **Rational number:** A number that can be expressed as a ratio of two integers. A rational number can be expressed in the form *a*/*b*, where *a* and *b* are integers and *b* is not equal to zero.

### Duration

200–270 minutes/3–4 class periods **[IS.3 - All Students]**

### Prerequisite Skills

### Materials

· copies of Multiplying Rationals Stations Problem Set (M-A2-5-1_Multiplying Rationals Stations Problem Set.doc)

· copies of Stations Activity Records Sheet (M-A2-5-1_Stations Activity Records Sheet.doc)

· copies of Level Up Problem Set (M-A2-5-1_Level Up Problem Set and KEY.doc)

· copies of Multiplying Rationals IP (M-A2-5-1_Multiplying Rationals IP and KEY.doc)

· copies of Operations Guided Notes (M-A2-5-1_Operations Guided Notes.doc)

· copies of Common Denominators (M-A2-5-1_Common Denominators and KEY.doc)

· copies of Adding Subtracting IP (M-A2-5-1_Adding Subtracting IP and KEY.doc)

### Related Unit and Lesson Plans

### Related Materials & Resources

The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.

· Video–Simplifying Rational Expressions http://www.youtube.com/watch?v=B4bVlDgHF5I

· Video Multiplying Rational Expressions http://www.youtube.com/watch?v=-aZ0a7aMiPE&feature=channel

· Video–Dividing Rational Expressions http://www.youtube.com/watch?v=Fdie6CqInyg&NR=1

· Video–Adding Rational Expressions http://www.youtube.com/watch?v=omv7Di2o8-Y&feature=channel

· Video–Subtracting Rational Expressions http://www.youtube.com/watch?v=gv8h9Ivs__Y&feature=channel

### Formative Assessment

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