Basic Properties and Definitions | |
Fundamental Definitions and Notation | |
The Real Numbers | |
Properties of Real Numbers | |
Arithmetic with Real Numbers | |
Recognizing Patterns | |
Summary | |
Review/Test | |
Projects | |
Equations and Inequalities in one Variable | |
Linear Equations in One Variable | |
Formulas | |
Applications | |
Linear Inequalities in One Variable | |
Equations with Absolute Value | |
Inequalities Involving Absolute Value | |
Summary | |
Review/Test | |
Projects | |
Equations and Inequalities in two Variables | |
Paired Data and the Rectangular Coordinate System | |
The Slope of a Line | |
The Equation of a Line | |
Linear Inequalities in Two Variables | |
Introduction to Functions | |
Function Notation | |
Algebra and Composition with Functions | |
Variation | |
Summary | |
Review/Test | |
Projects | |
Systems of Linear Equations and Inequalities | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in Three Variables | |
Introduction to Determinants | |
Cramer's Rule | |
Applications | |
Systems of Linear Inequalities | |
Summary | |
Review/Test | |
Projects | |
Exponents and Polynomials | |
Properties of Exponents | |
Polynomials, Sums, and Differences | |
Multiplication of Polynomials | |
The Greatest Common Factor and Factoring by Grouping | |
Factoring Trinomials | |
Special Factoring | |
Factoring: A General Review | |
Solving Equations by Factoring | |
Summary | |
Review/Test | |
Projects | |
Rational Expressions and Rational Functions | |
Basic Properties and Reducing to Lower Terms | |
Division of Polynomials and Difference Quotients | |
Multiplication and Division of Rational Expressions | |
Addition and Subtraction of Rational Expressions | |
Complex Fractions | |
Equations Involving Rational Expressions | |
Applications | |
Summary | |
Review/Test | |
Projects | |
Rational Exponents and Roots | |
Rational Exponents | |
More Expressions Involving Rational Exponents | |
Simplified Form for Radicals | |
Addition and Subtraction of Radical Expressions | |
Multiplication and Division of Radical Expressions | |
Equations with Radicals | |
Complex Numbers | |
Summary | |
Review/Test | |
Projects | |
Quadratic Functions | |
Completing the Square | |
The Quadratic Formula | |
Additional Items Involving Solutions to Equations | |
Equations Quadratic in Form | |
Graphing Parabolas | |
Quadratic Inequalities | |
Summary | |
Review/Test | |
Projects | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
The Inverse of a Function | |
Logarithms Are Exponents | |
Properties of Logarithms | |
Common Logarithms and Natural Logarithms | |
Exponential Equations and Change of Base | |
Summary | |
Review/Test | |
Projects | |
Conic Sections | |
The Circle | |
Ellipses and Hyperbolas | |
Second-Degree Inequalities and Nonlinear Systems | |
Summary | |
Review/Test | |
Projects | |
Sequence and Series | |
Sequences | |
Series | |
Arithmetic Sequences | |
Geometric Sequences | |
The Binomial Expansion | |
Summary | |
Review/Test | |
Projects | |
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