AP PreCalculus is a rigorous course designed by the College Board to prepare students for college-level calculus and STEM majors. The course emphasizes mathematical reasoning, modeling, functions, and analytical thinking, laying a strong foundation for success in higher mathematics, science, engineering, and related fields. FenDoDo’s expert-led online course provides one-on-one instruction, tailored learning plans, and real AP exam practice to maximize your score and confidence.
Course Content
- Functions: Deep dive into linear, quadratic, exponential, logarithmic, rational, and trigonometric functions. Learn their properties, transformations, and applications.
- Modeling and Analysis: Apply mathematical models to real-world and theoretical scenarios. Interpret, construct, and validate models using functions.
- Trigonometry: Master the unit circle, trigonometric identities, equations, and graphs. Apply trigonometry to solve problems involving angles, periodicity, and real-world situations.
- Complex Numbers: Operations with complex numbers, polar form, and their role in function analysis.
- Vectors and Matrices: Introduction to vector operations, applications, and matrices in modeling systems.
- Limits and Continuity (Preview): Early introduction to limits and the concept of continuity, preparing you for AP Calculus.
- Problem Solving & Mathematical Reasoning: Strategies for tackling multi-step and non-routine problems, logical argumentation, and justifying solutions.
Exam Structure
| Section | Questions | Time | Weight |
|---|---|---|---|
| Multiple Choice (Part A, no calculator) | 28 | 60 min | 37.5% |
| Multiple Choice (Part B, calculator allowed) | 17 | 40 min | 22.5% |
| Free Response (calculator allowed) | 4 | 60 min | 40% |
Skills Developed
- Modeling real-world phenomena using advanced functions
- Interpreting and analyzing mathematical data
- Logical reasoning and proof-writing
- Proficiency in mathematical notation and vocabulary
- Effective use of graphing calculators and technology
- Time management and strategic exam skills
Who Should Take AP PreCalculus?
- Students seeking a strong foundation before AP Calculus AB/BC
- Learners aiming for STEM majors: math, physics, engineering, computer science, and life sciences
- Anyone wanting to strengthen their problem-solving, modeling, and mathematical reasoning skills
- High schoolers aiming to improve college applications and earn advanced placement credit
College Credit
Some U.S. colleges grant credit or advanced placement for students who perform well on Precalculus or equivalent placement exams, allowing them to satisfy preparatory mathematics requirements. This can enable students to advance directly to AP Calculus, college-level calculus, or higher-level mathematics courses earlier in their college curriculum.
Tips for Success
- Practice with a variety of function types and transformations
- Regularly solve real-world modeling problems
- Master calculator skills and AP exam techniques
- Review class notes and complete all assignments promptly
- Seek feedback from your instructor and revise based on errors
- Take full-length mock exams under timed conditions
