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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