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McGraw Hill Glencoe Precalculus, 2010
Chapter 0
Preparing for Precalculus
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Pretest
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Sets
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Operations with Complex Numbers
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Quadratic Functions and Equations
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nth Roots and Real Exponents
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Systems of Linear Equations and Inequalities
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Matrix Operations
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Probability with Permutations and Combinations
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Statistics
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Posttest
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Chapter 1
Functions from a Calculus Perspective
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Get Ready for the Chapter
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Functions
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Analyzing Graphs of Functions and Relations
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Continuity, End Behavior, and Limits
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Extrema and Average Rates of Change
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Mid-Chapter Quiz
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Parent Functions and Transformations
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Extend: Graphing Technology Lab, Nonlinear Inequalities
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Function Operations and Composition of Functions
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Inverse Relations and Functions
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Extend: Graphing Technology Lab Graphing Inverses using Parametric Equations
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Rate of Change at a Point
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Chapter 2
Power, Polynomial and Rational Functions
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Get Ready for the Chapter
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Power and Radical Functions
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Explore: Graphing Technology Lab Behavior of Graphs
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Polynomial Functions
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Extend: Graphing Technology Lab, Hidden Behavior of Graphs
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The Remainder and Factor Theorems
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Mid-Chapter Quiz
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Zeros of Polynomial Functions
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Rational Functions
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Nonlinear Inequalities
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Area Under a Curve
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Chapter 3
Exponential and Logarithmic Functions
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Get Ready for the Chapter
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Exponential Functions
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Extend: Graphing Technology Lab, Financial Literacy: Exponential Functions
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Logarithmic Functions
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Properties of Logarithms
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Mid-Chapter Quiz
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Exponential and Logarithmic Equations
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Extend: Graphing Technology Lab, Solving Exponential and Logarithmic Inequalities
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Modeling with Nonlinear Regression
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Approximating Rates of Change
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Chapter 4
Trigonometric Functions
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Get Ready for the Chapter
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Right Triangle Trigonometry
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Degrees and Radians
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Trigonometric Functions on the Unit Circle
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Explore: Graphing Technology Lab, Graphing the Sine Function Parametrically
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Graphing Sine and Cosine Functions
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Extend: Graphing Technology Lab, Sums and Differences of Sinusoids
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Mid-Chapter Quiz
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Graphing Other Trigonometric Functions
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Inverse Trigonometric Functions
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The Law of Sines and the Law of Cosines
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Related Rates
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Chapter 5
Trigonometric Identities and Equations
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Trigonometric Identities
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Verifying Trigonometric Identities
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Solving Trigonometric Equations
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Extend: Graphing Technology Lab, Solving Trigonometric Inequalities
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Mid-Chapter Quiz
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Sum and Difference Identities
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Extend: Graphing Technology Lab, Reduction Identities
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Multiple-Angle and Product-to-Sum Identities
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Rates of Change for Sine and Cosine
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Chapter 6
Systems of Equations and Matrices
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Get Ready for the Chapter
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Multivariable Linear Systems and Row Operations
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Matrix Multiplication, Inverses, and Determinants
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Extend: Graphing Technology Lab, Determinants and Areas of Polygons
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Solving Linear Systems using Inverses and Cramer's Rule
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Extend: Graphing Technology Lab, Matrices and Cryptography
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Mid-Chapter Quiz
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Partial Fractions
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Linear Optimization
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Nonlinear Optimization
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Chapter 7
Conic Sections and Parametric Equations
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Get Ready for the Chapter
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Parabolas
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Ellipses and Circles
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Hyperbolas
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Mid-Chapter Quiz
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Rotations of Conic Sections
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Extend: Graphing Technology Lab, Systems of Nonlinear Equations and Inequalities
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Parametric Equations
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Extend: Graphing Technology Lab, Modeling with Parametric Equations
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Solids of Revolution
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Chapter 8
Vectors
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Get Ready for the Chapter
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Introduction to Vectors
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Vectors in the Coordinate Plane
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Dot Products and Vector Projections
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Mid-Chapter Quiz
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Vectors in Three-Dimensional Space
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Extend: Graphing Technology Lab, Vector Transformations with Matrices
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Dot and Cross Products of Vectors in Space
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Vector Fields
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Chapter 9
Polar Coordinates and Complex Numbers
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Polar Coordinates
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Explore: Graphing Technology Lab, Investigate Graphs of Polar Equations
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Graphs of Polar Equations
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Polar and Rectangular Forms of Equations
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Mid-Chapter Quiz
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Polar Forms of Conic Sections
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Complex Numbers and DeMoivre's Theorem
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Arc Length
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Chapter 10
Sequences and Series
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Get Ready for the Chapter
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Sequences, Series, and Sigma Notation
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Arithmetic Sequences and Series
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Geometric Sequences and Series
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Extend: Graphing Technology Lab, Continued Fractions
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Mid-Chapter Quiz
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Mathematical Induction
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The Binomial Theorem
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Functions as Infinite Series
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Extend: Spreadsheet Lab, Detecting Patterns in Data
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Riemann Sum
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Chapter 11
Inferential Statistics
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Get Ready for the Chapter
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Descriptive Statistics
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Probability Distributions
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The Normal Distribution
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Extend: Graphing Technology Lab, Transforming Skewed Data
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The Central Limit Theorem
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Mid-Chapter Quiz
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Confidence Intervals
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Hypothesis Testing
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Correlation and Linear Regression
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Extend: Graphing Technology Lab, Median-Fit Lines
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: Population Proportions
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Chapter 12
Limits and Derivatives
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Get Ready for the Chapter
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Estimating Limits Graphically
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Evaluating Limits Algebraically
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Explore: Graphing Technology Lab, The Slope of a Curve
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Tangent Lines and Velocity
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Mid-Chapter Quiz
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Derivatives
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Area Under a Curve and Integration
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The Fundamental Theorem of Calculus
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Study Guide and Review
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Practice Test
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Connect to AP Calculus: The Chain Rule
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