Get 1-on-1 Help from an Expert Tutor
Embark on a transformative learning journey with my affordable online AP Precalculus tutoring. AP Precalculus fosters the development of a deep conceptual understanding of functions. Students learn that a function is a mathematical relation that maps a set of input values— the domain—to a set of output values—the range—such that each input value is uniquely mapped to an output value. Students understand functions and their graphs as embodying dynamic covariation of quantities, a key idea in preparing for calculus. You'll develop skills in problem-solving and mathematical reasoning, preparing you thoroughly for the AP exam.
How It Works
Initial Consultation
We’ll start with a consultation to understand your current level, goals, and specific areas of difficulty.
Customized Learning Plan
I’ll create a personalized plan tailored to your needs, ensuring focused and effective learning.
Regular Sessions
We’ll have regular online sessions where I’ll guide you through the AP Calculus AB curriculum, ensuring you understand each concept thoroughly.
Continuous Feedback
I provide ongoing feedback and progress assessments to keep you on track and motivated.
Course Content
Topics include:
- Change in Tandem
- Rates of Change
- Rates of Change in
- Linear and Quadratic Functions
- Polynomial Functions and Rates of Change
- Polynomial Functions and Complex Zeros
- Polynomial Functions and End Behavior
- Rational Functions and End Behavior
- Rational Functions and Zeros
- Rational Functions and Vertical Asymptotes
- Rational Functions and Holes
- Equivalent Representations of Polynomial and Rational Expressions
- Transformations of Functions
- Function Model Selection and Assumption Articulation
- Function Model Construction and Application
On The Exam 30%–40% of exam score
Topics include:
- Periodic Phenomena
- Sine, Cosine, and Tangent
- Sine and Cosine Function Values
- Sine and Cosine Function Graphs
- Sinusoidal Functions
- Sinusoidal Function Transformations
- Sinusoidal Function Context and Data Modeling
- The Tangent Function
- Inverse Trigonometric Functions
- Trigonometric Equations and Inequalities
- The Secant, Cosecant, and Cotangent Functions
- Equivalent Representations of Trigonometric Functions
- Trigonometry and Polar Coordinates
- Polar Function Graphs
- Rates of Change in Polar Functions
On The Exam 30%–35% of exam score
Topics include:
- Change in Arithmetic and Geometric Sequences
- Change in Linear and Exponential Functions
- Exponential Functions
- Exponential Function Manipulation
- Exponential Function Context and Data Modeling
- Competing Function Model Validation
- Composition of Functions
- Inverse Functions
- Logarithmic Expressions
- Inverses of Exponential Functions
- Logarithmic Functions
- Logarithmic Function Manipulation
- Exponential and Logarithmic Equations and Inequalities
- Logarithmic Function Context and Data Modeling
- Semi-log Plots
On The Exam 27%–40% of exam score
Topics include:
- Parametric Functions
- Parametric Functions Modeling Planar Motion
- Parametric Functions and Rates of Change
- Parametrically Defined Circles and Lines
- Implicitly Defined Functions
- Conic Sections
- Parametrization of Implicitly Defined Functions
- Vectors
- Vector-Valued Functions
- Matrices
- The Inverse and Determinant of a Matrix
- Linear Transformations and Matrices
- Matrices as Functions
- Matrices Modelling Contexts
On The Exam Not Assessed on the AP Exam
Benefit of AP Precalculus
AP Precalculus is designed to be the equivalent of a first semester college precalculus course. AP Precalculus provides students with an understanding of the concepts of college algebra, trigonometry, and additional topics that prepare students for further college level mathematics courses.
- Algebraically manipulating functions, equations, and expressions
- Translating mathematical information between representations
- Justifying reasoning and solutions
- Communicating with precise language, and providing rationales for conclusions
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