Pre-Calculus

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AP PreCalc (coming SY23-24)

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

Unit 2A Exponential and Logarithmic Functions

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2.1 Change in Arithmetic and Geometric Sequences

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 3A Trigonometric and Polar Functions

Unit 3B Trigonometric and Polar Functions

Unit 4A Parametrics, Vectors, and Matrices

Unit 4B Parametrics, Vectors, and Matrices

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 9

The Unit Circle

9.1 Reference Triangles and

Reciprocal Trig Functions

9.2 Reference and Special Angles

9.3 Evaluating Trig Functions

Unit 9 Review

# Unit 9 Unit Circle

All 6 Trig Functions on the Unit Circle

All 6 Trig Functions on the Unit Circle