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1. Foundations & Prerequisites
1.1 PreCalculus
1.2 Precalculus Honors
1.3 Review Concepts for Units
1.4 Concepts
1.5 Parent Function and Piecewise Review
1.6 Parent Functions and Solving
1.7 Practice for Transformations Assessment
1.8 Transformations
1.9 Graph by Hand
1.10 SKILL 9
1.11 Average Rate of Change
1.12 Equivalent Representations and Binomial Theorem
1.13 The Binomial Theorem
1.14 Factorial, Combinations, and Binomial Expansion
1.15 Dimensional Analysis
2. Functions & Graphs
2.1 Polynomial and Rational Functions
2.2 Polynomial Functions & Complex Zeros
2.3 Polynomial Functions Complex Zeros
2.4 Polynomial Functions and Rates of Change
2.5 Polynomial ROC
2.6 End Behavior
2.7 Graphing Rational Functions Summary
2.8 Rational Functions Zeros, Holes & Asymptotes
2.9 Composite Functions
2.10 Composites & Inverses
2.11 Inverse Functions
2.12 Equivalent Representations
2.13 Rates of Change
2.14 Rates of Change in Linear & Quadratic Functions
2.15 Rates of Change in Linear and Quadratic Functions
2.16 Change in Tandem
2.17 Change in Linear Exponential Functions
2.18 Change in Tandem 2
2.19 Other Rates of Change
3. Exponential & Logarithmic Functions
3.1 Exponential Functions
3.2 Exponential Function
3.3 Exponential Function Practice
3.4 Exponential Function Manipulations
3.5 Exp and Log Alg and Graph Warm-up
3.6 Applications of Log and Exponent Relations
3.7 Solve Log and Exponent Equations
3.8 Logarithm Functions
3.9 Logarithm Functions Practice
3.10 Logarithm Set (TA Logarithm Set)
3.11 Logarithm A to D
3.12 Logarithms Ques with Sol
3.13 Log Expressions
3.14 Logarithms as Exponential Functions
3.15 Log Properties
3.16 Log Properties Practice
4. Trigonometry
4.1 Right Triangle Trigonometry
4.2 Right Triangle Trig and Unit Circle
4.3 Unit Circle Trigonometry
4.4 Unit Circle Trigonometry (cont.)
4.5 Unit Circle Trigonometry 2
4.6 Unit Circle Coordinates
4.7 Fundamental Trig Identities
4.8 Fundamental Trig Identities (cont)
4.9 Fundamental Trig Identities 2
4.10 Fundamental Trig Identities and Mechanics
4.11 Periodicity of Trigonometric Functions
4.12 Trig and Logs
4.13 Trig Cumulative
4.14 Graphing Trigonometric Functions
4.15 Graphing Sine and Cosine Functions
4.16 Graphing Tangent and Cotangent Functions
4.17 Graphing Cosecant and Secant Functions
4.18 Graphing Inverse Sine, Cosine, and Tangent Functions
4.19 Inverse Reciprocal Trig Functions
4.20 Composition of Inverses
4.21 Composition of Trig Inverses
4.22 Compositions of Trig Function
4.23 Solve Trig Equations (Interval, General, Undefined/Extraneous)
4.24 Solving Trigonometric Equations
4.25 Angles, Arc Length, and Area of a Sector
4.26 Linear & Angular Speeds
4.27 Applications of Law of Sines, Cosines, Area
4.28 Law of Sines Ambiguous Case and Triangle Area
4.29 Law of Sines and Law of Cosines
4.30 The Law of Cosines
4.31 The Law of Sines
4.32 Double and Half Angle Formulas
4.33 Sum and Difference Formulas
4.34 Sum, Difference, Half, Double Angle Identities Practice
5. Conic Sections
5.1 Conic Sections – Circles and Parabolas
5.2 Circles and Parabolas
5.3 Circles Practice
5.4 Conic Sections – Ellipses
5.5 Ellipses
5.6 Ellipse 2
5.7 Conic Sections – Hyperbolas
5.8 Hyperbolas
5.9 Hyperbolas Practice
6. Sequences & Series
6.1 Sequences
6.2 Arithmetic and Geometric Sequence
7. Vectors
7.1 Intro to Vectors
7.2 Intro to Vectors 2
7.3 Vectors in the Plane
7.4 Vectors Cont. d
7.5 Vectors Cont. 2
7.6 Vectors More
7.7 Vector Quest
8. Matrices
8.1 Basic Matrix Operations
8.2 Warm-up – Matrix Basics
8.3 Matrix Inverse and Applications
8.4 Matrics Practice
8.5 Matrics
9. Limits & Continuity (Pre-Calculus → Calculus bridge)
9.1 Algebraic Limits and Continuity
9.2 Evaluating Limits Algebraically
9.3 Limits Graphically
9.4 Limits Involving Infinite
9.5 Limits Determined by Graphs
9.6 Intermediate Value Theorem
9.7 Tricky Limits
9.8 Take It to the Limit
10. Introduction to Calculus (Preview Topics)
10.1 Prerequisite Calculus
10.2 Calculus AB Unit 1
10.3 Definition of Derivative
10.4 The Derivative by Definition
10.5 Derivative Rules
10.6 Product and Quotient Rule
10.7 Chain Rule (with Polynomials, Chain, Chain Rule w/ Polynomials)
10.8 Derivatives – Critical Numbers
10.9 Implicit Differentiation
10.10 Differentiability
10.11 Extrema and Other Rates of Change
10.12First and Second Derivative Tests
10.13Particle Motion
10.14Advanced Derivatives
11. Practice, Reviews & Miscellaneous
11.1Circuit Training
11.2Circuit Training 2
11.3Twinning
11.4Fake Assessment
11.5Review Concepts for Units
11.6Cumulative Review
11.7Fitz Precal
11.8AK PreCal Wksht
1. Logarithms
Logarithm and Exponential Equations Review
Logarithm Functions
Logarithm Functions Practice
Logarithms as Exponential Functions
Log Expressions
Log Properties
Solving Logarithmic Equations
Applications of Log and Exponent Relations
2. Functions & Transformations
Composite Functions
Composites & Inverses
Inverse Functions
Parent Functions and Solving
Transformations
Relations, Functions, and Domain Restrictions
Even and Odd Functions
Piecewise Functions
Operations and Composition
3. Polynomial & Rational Functions
AP PreCalculus Rational Functions
Polynomial and Rational Functions
Polynomial Functions & Complex Zeros
Polynomial Functions and Rates of Change
Graphing Rational Functions Summary
Rational Functions Zeros, Holes & Asymptotes
Real Zeros of a Polynomial
Polynomials Extension
Rationals Extension
End Behavior and Graph Characteristics
Descartes’ Rule of Signs
Polynomial and Rational Inequalities
4. Trigonometry
Right Triangle Trigonometry and Unit Circle
Graphing Sine and Cosine Functions
Graphing Tangent and Cotangent Functions
Graphing Cosecant and Secant Functions
Inverse Trigonometric Functions
Sum and Difference Formulas
Double and Half Angle Identities
Solve Trig Equations
Angles, Arc Length and Sector Area
Trigonometry and Polar Coordinates
Fundamental Trig Identities
Law of Sines and Law of Cosines
5. Exponential Functions
Exponential Functions
Exponential Function Practice
Exponential Growth Functions
Functions Involving e
Change in Linear and Exponential Functions
6. Calculus Basics
Limits Determined by Graphs
Evaluating Limits Algebraically
Algebraic Limits and Continuity
The Derivative By Definition
Advanced Derivatives
Chain Rule
Implicit Differentiation
First and Second Derivative Tests
Intermediate Value Theorem
Particle Motion
7. Vectors & Matrices
Intro to Vectors
Vectors in the Plane
Matrix Basics
Basic Matrix Operations
Matrix Inverse and Applications
8. Miscellaneous & Practice
Always True or Not
Circuit Training
Circuit Training 2
Circles, Ellipses, and Parabolas
Hyperbolas
Arithmetic and Geometric Sequences
The Binomial Theorem
Normal Distributions and Empirical Rule
Review Concepts for Units
Cumulative Review
FAKE Assessment