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AP Pre-calculus

난이도 ( AP )7개 모듈7-9 MonthsGrades 9-12

코스 소개

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.

이런 학생에게 맞습니다

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.

수강 요건

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.

배우게 되는 것

Evaluate Dynamic Rates of Change
Model Polynomial and Rational Contexts
Master Logarithmic and Exponential Behaviors
Graph Complex Trigonometric Functions
Analyze Polar Coordinates and Curves
Utilize Parametric Equations
Apply Vectors and Matrices to Modeling
Interpret Limits Conceptually
Construct Rigorous Mathematical Models
Comprehensive AP Review

코스 상세

학습 목표 / 다루는 내용
Change in TandemRates of ChangePolynomial Behavior and ModelingRational Function DiscontinuitiesInverses and Conic Properties
연습문제 예시

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.

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