Prerequisites | |
Modeling the Real World | |
Real Numbers | |
Integer Exponents | |
Rational Exponents and Radicals | |
Algebraic Expressions | |
Discovery Project: Visualizing a Formula | |
Factoring Algebraic Expressions | |
Rational Expressions | |
Chapter P Review | |
Chapter P Test | |
Focus on Problem Solving: General Principles | |
Equations and Inequalities | |
Basic Equations | |
Modeling with Linear Equations | |
Discovery Project: Equations Through the Ages | |
Quadratic Equations | |
Complex Numbers | |
Other Types of Equations | |
Inequalities | |
Absolute Value Equations and Inequalities | |
Chapter 1 Review | |
Chapter 1 Test | |
Focus on Modeling: Making the Best Decisions | |
Coordinates and Graphs | |
The Coordinate Plane | |
Discovery Project: Visualizing Data | |
Graphs of Equations in Two Variables | |
Graphing Calculators: Solving Equations and Inequalities Graphically | |
Lines | |
Modeling: Variation | |
Chapter 2 Review | |
Chapter 2 Test | |
Focus on Modeling: Fitting Lines to Data | |
Functions | |
What is a Function? Graphs of Functions | |
Discovery Project: Relations and Functions | |
Increasing and Decreasing Functions: Average Rate of Change | |
Transformations of Functions | |
Quadratic Functions: Maxima and Minima | |
Combining Functions | |
Discovery Project: Iteration and Chaos | |
One-to-One Functions and Their Inverses | |
Chapter 3 Review | |
Chapter 3 Test | |
Focus on Modeling: Modeling With Functions | |
Polynomial And Rational Functions | |
Polynomial Functions and Their Graphs | |
Dividing Polynomials | |
Real Zeros of Polynomials | |
Discovery Project: Zeroing in on a Zero | |
Complex Zeros and the Fundamental Theorem of Algebra | |
Rational Functions | |
Chapter 4 Review | |
Chapter 4 Test | |
Focus on Modeling: Fitting Polynomial Curves to Data | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Discovery Project: Exponential Explosion | |
Logarithmic Functions | |
Laws of Logarithms | |
Exponential and Logarithmic Equations | |
Modeling with Exponential and Logarithmic Functions | |
Chapter 5 Review | |
Chapter 5 Test | |
Focus on Modeling: Fitting Exponential and Power Curves to Data | |
Trigonometric Functions of Angles | |
Angle Measure | |
Trigonometry of Right Triangles | |
Trigonometric Functions of Angles | |
Discovery Project: Similarity | |
The Law of Sines | |
The Law of Cosines | |
Chapter 6 Review | |
Chapter 6 Test | |
Focus on Modeling: Surveying | |
Trigonometric Functions of Real Numbers | |
The Unit Circle | |
Trigonometric Functions of Real Numbers | |
Trigonometric Graphs | |
Discovery Project: Predator-Prey Models | |
More Trigonometric Graphs | |
Modeling Harmonic Motion | |
Chapter 7 Review | |
Chapter 7 Test | |
Focus on Modeling: Fitting Sinusoidal Curves to Data | |
Analytic Trigonometry | |
Trigonometric Identities | |
Addition and Subtraction Formulas | |
Double-Angle, Half-Angle, and Sum-Product Identities | |
Inverse Trigonometric Functions | |
Discovery Project:Where to Sit at the Movies | |
Trigonometric Equations | |
Chapter 8 Review | |
Chapter 8 Test | |
Focus on Modeling: Traveling and Standing Waves | |
Polar Coordinates and Vectors | |
Polar Coordinates | |
Graphs of Polar Equations | |
Polar Form of Complex Numbers | |
DeMoivre's Theorem | |
Discovery Project: Fractals | |
Vectors | |
The Dot Product | |
Discovery Project: Sailing Against the Wind | |
Chapter 9 Review | |
Chapter 9 Test | |
Focus on Modeling: Mapping the World | |
Systems Of Equations and Inequalities | |
Systems of Equations | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in Several Variables | |
Discovery Project: Best Fit versus Exact Fit | |
Systems of Linear Equations: Matrices | |
The Algebra of Matrices | |
Discovery Project: Will the Species Survive? Inverses of Matrices and Matrix Equations | |
Discovery Project: Computer Graphics I | |
Determinants and Cramer's Rule | |
Partial Fractions | |
Systems of Inequalities | |
Chapter 10 Review | |
Chapter 10 Test | |
Focus on Modeling: Linear Programming | |
Analytic Geometry | |
Parabolas | |
Ellipses | |
Hyperbolas | |
Discovery Project: Conics in Architecture | |
Shifted Conics | |
Rotation of Axes | |
Discovery Project: Computer Graphics II | |
Polar Equations of Conics | |
Plane Curves and Parametric Equations | |
Chapt | |
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