Course Description
This college-level course is meticulously aligned with the official Advanced Placement (AP) framework to prepare students for the structural rigors of AP Calculus. The curriculum provides a deep, formal exploration of function behavior, dynamic rates of change, trigonometric structures, and foundational analytic geometry.
Throughout the course, students will move beyond rote calculation to develop advanced mathematical modeling skills. By analyzing functions through graphic, numerical, analytical, and verbal representations, learners cultivate the conceptual agility required to excel on the AP exam and in higher-tier university STEM courses.
Course Designed For
The “AP Pre-calculus” course is designed for highly motivated high school students who intend to take AP Calculus AB/BC or pursue advanced studies in engineering, data science, and physics. It targets learners who want to build a deeply structured, conceptual understanding of mathematical patterns.
Requirements
Successful completion of Algebra 1, Geometry, and Algebra 2. Students must possess strong algebraic manipulation skills, a firm grasp of function transformations, and a solid analytical intuition.
What You Will Learn
Course Details
Dynamic Rates
Analyze a tabular dataset representing a physical scenario to determine if the average rate of change is increasing or decreasing over specific intervals.
Discontinuity Mapping
Classify discontinuities in a rational function as removable, vertical asymptotes, or horizontal asymptotes using strict limit notation foundations.