Pre-Calculus
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AP PreCalc
Unit 1A Polynomial and Rational Functions
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1.1 Change in Tandem
1.2 Rates of Change
1.3 Rates of Change in Linear and Quadratic Functions
1.4 Polynomial Functions and Rates of Change
1.5A Polynomial Functions and Complex Zeros
1.5B Even and Odd Polynomials
1.6 Polynomial Functions and End Behavior
Unit 1A Review
Unit 1B Polynomial and Rational Functions
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1.7A Rational Functions and End Behavior
1.7B Rational Functions and End Behavior
1.8 Rational Functions and Zeros
1.9 Rational Functions and Vertical Asymptotes
1.10 Rational Functions and Holes
1.11A Equivalent Expressions and Binomial Thm
1.11B Polynomial Long Division and Slant Asymptotes
1.12A Translations of Functions
1.12B Dilations of Functions
1.13 Function Model Selection
1.14 Function Model Construction
Unit 1B Review
Unit 2A Exponential and Logarithmic Functions
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2.1 Change in Arithmetic and Geometric Sequences
2.2 Change in Linear and Exponential Functions
2.3 Exponential Functions
2.4 Exponential Function Manipulation
2.5.A Exponential Function Context and Data Modeling
2.5.B Exponential Function Context and Data Modeling
2.6 Competing Function Model Validation
2.7A Composition of Functions
2.7B Composition of Functions
2.8 Inverse Functions
Unit 2A Review
Unit 2B Exponential and Logarithmic Functions
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2.9 Logarithmic Expressions
2.10 Inverses of Exponential Functions
2.11 Logarithmic Functions
2.12 Logarithmic Function Manipulation
2.13A Exponential and Logarithmic Equations and Inequalities
2.13B Exponential and Logarithmic Equations and Inequalities
2.14 Logarithmic Function Context and Data Modeling
2.15 Semi-Log Plots
Unit 2B Review
Unit 3A Trigonometric and Polar Functions
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3.1 Periodic Phenomena
3.2A Radians
3.2B Sine, Cosine, and Tangent
3.3A Sine and Cosine Function Values
3.3B Sine and Cosine Function Values
3.4 Sine and Cosine Function Graphs
3.5 Sinusoidal Functions
3.6A Sinusoidal Function Transformations
3.6B Sinusoidal Function Transformations
3.7 Sinusoidal Function Context and Data Modeling
Unit 3A Review
Unit 3B Trigonometric and Polar Functions
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3.8 The Tangent Function
3.9 Inverse Trig Functions
3.10 Trig Equations and Inequalities
3.11 Cosecant, Secant, Cotangent
3.12A Equivalent Representations of Trig Functions
3.12B Equivalent Representations of Trig Functions
3.13 Trig and Polar Coordinates
3.14A Polar Function Graphs
3.14B Polar Function Graphs
3.15 Rates of Change in Polar Functions
Unit 3B Review
Unit 4A Parametrics, Vectors, and Matrices
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4.1 Parametric Functions
4.2 Parametric Functions Modeling Planar Motion
4.3 Parametric Functions and Rates of Change
4.4 Parametrically Defined Circles and Lines
4.5 Implicitly Defined Functions
4.6A Conic Sections - Parabolas
4.6B Conic Sections - Ellipses
4.6C Conic Sections - Hyperbolas
4.7 Parametrization of Implicitly Defined Functions
Unit 4A Review
Unit 4B Parametrics, Vectors, and Matrices
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4.8A Vectors
4.8B Vectors
4.9 Vector-Valued Functions
4.10 Matrices
4.11 The Inverse and Determinant of a Matrix
4.12 Linear Transformations and Matrices
4.13A Matrices as Functions
4.13B Matrices as Functions
4.14 Matrices Modeling Contexts
PreCalc (traditional)
Semester 1
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Unit 1 Intro Skills
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1.0 Marking the Text
1.1 Multiple Representations
1.2 Linear Functions
1.3 Basic Factoring
Unit 1 Review
Unit 1 Skillz Review
Unit 2 Functions and Limits
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Unit 2 Skillz Review
2.1 Function Introduction
2.2 Domain & Range Graphically
2.3 Limits Graphically
2.4 Limits to Infinity
Unit 2 Review
Unit 3 Function Analysis
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Unit 3 Skillz Review
3.1 Discontinuity and Domain Analytically
3.2 Extrema
3.3 Piecewise FunctIons
Unit 3 Review
Unit 4 Function Algebra
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4.1 Transformations
4.2 Even and Odd Functions
4.3 Operations with Functions
4.4 Inverse Functions
Unit 4 Review
Unit 4 Skillz Review
Unit 5 Polynomials
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Unit 5 Skillz Review
5.1 Operations on Polynomials
5.2 Polynomial Divison and Factor Theorem
5.3 Polynomial Graphs
Unit 5 Review
Unit 6 Rational Functions
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6.1 Solving Rational Functions
6.2 Complex Fractions and Rationalizing
6.3 Graphing Rational Functions
6.4 Variation and Modeling
Unit 6 Review
Unit 6 Skillz Review
Unit 7 Exponential and Logarithmic Functions
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7.1 Exponential Functions
7.2 Logarithmic Functions
7.3 Exp and Log Problem Solving
Unit 7 Review
Unit 7 Skillz Review
SEMESTER EXAM
Semester 2
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Unit 8 Intro to Trigonometry
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8.1 Angles and Degrees
8.2 Radians
8.3 Velocity
8.4 Basic Trig Functions
Unit 8 Review
Unit 8 Skillz Review
Unit 9 Unit Circle
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9.1 Reference Triangles and Reciprocal Trig Functions
9.2 Reference and Special Triangles
9.3 Evaluating Trig Functions
Unit 9 Review
Unit 9 Skillz Review
Unit 10 Graphing Trig Functions
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Unit 10 Skillz Review
10.1 Graphing Sine and Cosine
10.2 Phase Shift and Tangent
10.3 Reciprocal Trig Graphs
10.4 Inverse Trig Functions
Unit 10 Review
Unit 11 Trig Identities
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11.1 Basic Identities and Trig Algebra
11.2 Negative and Pythagorean Identities
11.3 Sum and Difference Identities
11.4 Double and Half Angle Identities
11.5 Trigonometric Equations
Unit 11 Review
Unit 12 Solve Triangles
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12.1 Law of Sines
12.2 Law of Cosines
12.3 Area of Triangles
Unit 12 Review
Unit 12 Skillz Review
Unit 13 Coordinate Systems
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13.1 Three Dimensional Graphs
13.2 Polar Coordinates
Unit 13 Review
Unit 14 Series and Sequences
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14.1 Sequences, Series and Summation
14.2 Arithmetic and Geometric Sequences
14.3 The Binomial Theorem
Unit 14 Skillz Review
Review Unit 14
Unit 15 Calculus Intro
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Unit 15 Skillz Review
15.1 Limits Analytically
15.2 Definition of the Derivative
15.3 Power Rule
15 Review
Teacher Resources
FlippedMath.com
UNIT 4 Function Algebra
4.1 Transformations
4.2 Even and Odd Functions
4.3 Operations with Functions
4.4 Inverse Functions
Unit 4 Review