Chapters 2–6 are followed by Cumulative Review Exercises | |
Review of Real Numbers | |
Introduction to Real Numbers | |
Operations on Rational Numbers | |
Variable Expressions | |
Verbal Expressions and Variable Expressions | |
Focus on Problem Solving: Polya's Four-Step Process Projects and Group Activities: Water Displacement | |
First-Degree Equations and Inequalities | |
Solving First-Degree Equations | |
Applications: Puzzle Problems | |
Applications: Mixture and Uniform Motion Problems | |
First-Degree Inequalities | |
Absolute Value Equations and Inequalities | |
Focus on Problem Solving: Understand the Problem Projects and Group Activities: Electricity | |
Linear Functions and Inequalities in Two Variables | |
The Rectangular Coordinate System | |
Introduction to Functions | |
Linear Functions | |
Slope of a Straight Line | |
Finding Equations of Lines | |
Parallel and Perpendicular Lines | |
Inequalities in Two Variables | |
Focus on Problem Solving: Find a Pattern Projects and Group Activities: Evaluating a Function with a Graphing Calculator, Introduction to Graphing Calculators, Wind-Chill Index | |
Systems of Equations and Inequalities | |
Solving Systems of Linear Equations by Graphing and by the Substitution Method | |
Solving Systems of Linear Equations by the Addition Method | |
Solving Systems of Equations by Using Determinants | |
Application Problems | |
Solving Systems of Linear Inequalities | |
Focus on Problem Solving: Solve an Easier Problem Projects and Group Activities: Using a Graphing Calculator to Solve a System of Equations | |
Polynomials | |
Exponential Expressions | |
Introduction to Polynomial Functions | |
Multiplication of Polynomials | |
Division of Polynomials | |
Factoring Polynomials | |
Special Factoring | |
Solving Equations by Factoring | |
Focus on Problem Solving: Find a Counterexample Projects and Group Activities: Astronomical Distances and Scientific Notation | |
Rational Expressions | |
Multiplication and Division of Rational Expressions | |
Addition and Subtraction of Rational Expressions | |
Complex Fractions | |
Ratio and Proportion | |
Rational Equations | |
Variation | |
Focus on Problem Solving: Implication Projects and Group Activities: Graphing Variation Equations, Transformers | |
Exponents and Radicals | |
Rational Exponents and Radical Expressions | |
Operations on Radical Expressions | |
Solving Equations Containing Radical Expressions | |
Complex Numbers | |
Focus on Problem Solving: Another Look at Polya's Four-Step Process Projects and Group Activities: Solving Radical Equations with a Graphing Calculator, The Golden Rectangle | |
Quadratic Equations | |
Solving Quadratic Equations by Factoring or by Taking Square Roots | |
Solving Quadratic Equations by Completing the Square | |
Solving Quadratic Equations by Using the Quadratic Formula | |
Solving Equations that are Reducible to Quadratic Equations | |
Quadratic Inequalities and Rational Inequalities | |
Applications of Quadratic Equations | |
Focus on Problem Solving: Inductive and Deductive Reasoning Projects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation | |
Functions and Relations | |
Properties of Quadratic Functions | |
Graphs of Functions | |
Algebra of Functions | |
One-to-One and Inverse Functions | |
Focus on Problem Solving: Proof in Mathematics Projects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator, Business Applications of Maximum and Minimum Values of Quadratic Functions | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Introduction to Logarithms | |
Graphs of Logarithmic Functions | |
Solving Exponential and Logarithmic Equations | |
Applications of Exponential and Logarithmic Functions | |
Focus on Problem Solving: Proof by Contradiction Projects and Group Activities: Solving Exponential and Logarithmic Equations Using a Graphing Calculator, Credit Reports and FICOreg; Scores | |
Conic Sections | |
The Parabola | |
The Circle | |
The Ellipse and the Hyperbola | |
Solving Nonlinear Systems of Equations | |
Quadratic Inequalities and Systems of Inequalities | |
Focus on Problem Solving: Using a Variety of Problem-Solving Techniques Projects and Group Activities: The Eccentricity and Foci of an Ellipse, Graphing Conic Sections Using a Graphing Calculator | |
Sequences and Series | |
Introduction to Sequences and Series | |
Arithmetic Sequences and Series | |
Geometric Sequences and Series | |
Binomial Expansions | |
Focus on Problem Solving: Forming Negations Projects and Group Activities: ISBN and UPC Numbers | |
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