# Module 4: Rational Equations and Rational Functions  Section 4.1 Textbook: Inverse Variation Models

Section 4.1 Textbook:  Inverse Variation Models

Learning Objectives

• Distinguish direct and inverse variation.
• Graph inverse variation equations.
• Write inverse variation equations.
• Solve real-world problems using inverse variation equations. Section 4.1 Videos  Section 4.2 Textbook: Graphs of Rational Functions

Section 4.2 Textbook:  Graphs of Rational Functions

Learning Objectives

• Compare graphs of inverse variation equations.
• Graph rational functions.
• Solve real-world problems using rational functions. Section 4.2 Videos  Section 4.3 Textbook: Division of Polynomials

Section 4.3 Textbook:  Division of Polynomials

Learning Objectives

• Divide a polynomials by a monomial.
• Divide a polynomial by a binomial.
• Rewrite and graph rational functions.  Section 4.4 Textbook: Rational Expressions

Section 4.4 Textbook:  Rational Expressions

Learning Objectives

• Simplify rational expressions.
• Find excluded values of rational expressions.
• Simplify rational models of real-world situations. Section 4.4 Videos  Section 4.5 Textbook: Multiplication and Division of Rational Expressions

Section 4.5 Textbook:  Multiplication and Division of Rational Expressions

Learning Objectives

• Multiply rational expressions involving monomials.
• Multiply rational expressions involving polynomials.
• Multiply a rational expression by a polynomial.
• Divide rational expressions involving polynomials.
• Divide a rational expression by a polynomial.
• Solve real-world problems involving multiplication and division of rational. expressions. Section 4.5 Videos  Section 4.6 Textbook: Addition and Subtraction of Rational Expressions

Section 4.6 Textbook:  Addition and Subtraction of Rational Expressions

Learning Objectives

• Add and subtract rational expressions with the same denominator.
• Find the least common denominator of rational expressions.
• Add and subtract rational expressions with different denominators.
• Solve real-world problems involving addition and subtraction of rational expressions.  Section 4.7 Textbook: Solutions of Rational Equations

Section 4.7 Textbook:  Solutions of Rational Equations

Learning Objectives

• Solve rational equations using cross products.
• Solve rational equations using lowest common denominators.
• Solve real-world problems with rational equations.

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