AP Precalculus
Course Description
College-level preparation in functions and modeling for students advancing beyond Algebra II and Geometry/Trigonometry.
Students build fluency with function families (polynomial, rational, exponential, logarithmic, trigonometric, polar, parametric),
analyze behavior and transformations, and practice multi-representation reasoning (algebraic, graphical, numerical, verbal).
The course also introduces sequences, vectors, matrices, and a preview of limits/derivatives/integrals to support success in
AP Calculus and other advanced math pathways.
| Credits | 10 (year-long) |
| UC A–G Area | C — Mathematics (confirm on UCOP A–G list) |
| Level & GPA Weight | AP (weighted; confirm UCOP/district policy) |
| Recommended Grades | G9–10 |
| Prerequisites | Algebra II (grade B or above) or equivalent; a course involving Trigonometry (e.g., Geometry & Trigonometry) is highly recommended but not required |
| Textbook / Readings | Sullivan & Sullivan, Precalculus: Enhanced with Graphing Utilities, 7th Ed. (HS Users), ISBN-13: 9780134308371. E-text available via our school at a discounted price of $65. |
| Required Materials | Graphing calculator (bring to each class); math notebook/binder; pencils/eraser/ruler. |
Major Units & Topics
- Graphs; Functions & Transformations
- Linear & Quadratic Equations
- Polynomial & Rational Functions
- Exponential & Logarithmic Functions
- Trigonometric Functions, Identities & Applications
- Polar Equations, Vectors & Analytic Geometry
- Systems, Matrices & Inequalities
- Sequences, Induction, Binomial Theorem; Counting & Probability
- Preview of Calculus: Limits, Derivatives & Integrals
Delivery Options & Tuition
| Model | What’s Included | Live Hours | Tuition |
|---|---|---|---|
| Independent Asynchronous | Self-paced modules, graded work, email Q&A | — | $1,098 |
| Teacher-Guided Asynchronous | Instructor pacing, periodic check-ins, grading & feedback | Typically ~8 hrs | $1,988.5 |
| Mini-One-on-One | Targeted coaching, test prep & concept clinics | 22 hrs | $2,618 |
| One-on-One | Fully personalized instruction & pacing | ~36–42 hrs | Varies ($119/hr) |
Time & Workload Expectations
- Total live session hours: ~36–42 hours for One-on-One; Mini-One-on-One typically ~8 hours of live support.
- Independent work: regular problem sets, review, and assessment prep between sessions.
- Communication: Email Q&A and periodic progress updates available for all models.
- Weekly load depends on the chosen course window. Example:
(live hours + independent hours) ÷ 12 weeks ≈ weekly time
Grading & Course Policies
| Category | Weight |
|---|---|
| Classwork | 10% |
| Tests/Quizzes | 20% |
| Homework | 30% |
| Midterm | 20% |
| Final Test | 20% |
- Assignments: due next session unless noted; may be turned in one session late for reduced credit.
- Quizzes & Tests: quizzes generally begin at the start of class; partial credit is awarded when work is shown.
- Synchronous conduct: active participation; focused device use; board photos with permission.
Additional Notes
- Readiness Assessment Options: Group session complimentary; one-on-one assessment $75.
- Pacing Guide: Personalized plan based on start/end dates and seasonal schedules.
- Accessibility: Reasonable accommodations available—please notify the counselor/instructor during onboarding.
- Parent Updates: Progress check-ins available upon request
Track Eligibility (Academic Track & AI Certification)
- Full-Time (≥5 courses/year): counts toward certifications.
- Dual Enrollment (LCP school of record) (≥3 courses/year): counts toward certifications.
- Dual Enrollment (other school of record) (≥6 LCP courses across high school with counselor-approved plan): counts toward certifications.
- Part-Time à-la-carte: does not count toward certifications.