• Course Overview:

AP Precalculus is a rigorous, college-level course designed to prepare students for success in calculus and STEM-related fields. The curriculum emphasizes functions, modeling, and real-world applications, helping students build a deep understanding of algebraic, trigonometric, and transcendental functions through multiple representations. This course follows the official College Board AP Precalculus framework and culminates in the AP Exam in May.

🟦 Unit 1: Polynomial and Rational Functions

        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

        1.7 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 Theorem

       1.11B Polynomial Long Division and Slant Asymptotes 

       1.12A Translations of Functions

       1.12B Dilations of Functions

       1.13 Function Model Selection and Assumption Articulation

       1.14 Function Model Construction and Application

🟦 Unit 2: Exponential and Logarithmic Functions 

        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

        2.5A Exponential Function Context and Data Modeling

        2.5B Exponential Function Context and Data Modeling

        2.6 Competing Function Model Validation

        2.7 Composition of Functions

        2.8 Inverse Functions

        2.9 Logarithmic Expressions

        2.10 Inverses of Exponential Functions

        2.11 Logarithmic Functions

        2.12 Logarithmic Function Manipulation

        2.13 Exponential and Logarithmic Equations and Inequalities

        2.14 Logarithmic Function Context and Data Modeling

​        2.15 Semi-log Plots

🟦 Unit 3: Trigonometric and Polar Functions

        3.1 Periodic Phenomena

        3.2A Radians

        3.2B Sine, Cosine, and Tangent

        3.3 Sine and Cosine Function Values

        3.4 Sine and Cosine Function Graphs

        3.5 Sinusoidal Functions

        3.6 Sinusoidal Function Transformations

        3.7 Sinusoidal Function Context and Data Modeling

        3.8 The Tangent Function

        3.9 Inverse Trigonometric Functions

        3.10 Trigonometric Equations and Inequalities

        3.11 The Secant, Cosecant, and Cotangent Functions

        3.12 Equivalent Representations of Trigonometric Functions

        3.13 Trigonometry and Polar Coordinates

        3.14 Polar Function Graphs

        3.15 Rates of Change in Polar Functions

  🟦 Unit 4: Functions Involving Parameters, Vectors, and Matrices (This unit will not be assessed on the AP Exam, but it is included to support conceptual understanding and readiness for future coursework.) 

        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

        4.8 Vectors

        4.9 Vector-Valued Functions

        4.10 Matrices

        4.11 The Inverse and Determinant of a Matrix

        4.12 Linear Transformations and Matrices

        4.13 Matrices as Functions

        4.14 Matrices Modeling Contexts

Dear DeBakey Parents,

AP Precalculus is an advanced math course that plays a crucial role in your child’s future success in high school and beyond. While it can be challenging at times, your support at home makes a big difference!

Here are a few simple ways you can help your child succeed in AP Precalculus:

✅ Review their notes daily

✅ Complete all assignments with care and effort

✅ Come to class prepared and ready to learn

✅ Encourage a Positive Attitude: Let your child know it’s okay to struggle—and that learning from mistakes is part of the process. A growth mindset leads to stronger problem-solving skills.

✅ Create a Consistent Study Routine: Set aside a regular time and quiet space for homework and review. Even 15–20 minutes a day can reinforce learning and reduce stress.

✅ Ask Questions and Stay Involved: You don’t have to be a math expert! Ask your child to explain what they learned in class—it helps them process concepts and builds confidence.

✅ Use the Resources Available: Encourage your child to use the tutorial sessions, online videos, and teacher office hours when they need help. We’re here to support them every step of the way.

With consistent study habits and strong home support, students are more likely to stay confident, engaged, and on track for success. Thank you for being an essential part of their learning journey!