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.

· 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?

· **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.

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

Prerequisite Skills haven't been entered into the lesson plan.

· 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)

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.

· 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)

Instructional videos haven't been assigned to the lesson plan.

DRAFT 11/05/2010

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