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AP Precalculus curriculum & tutors

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An AP Precalculus path built around function modeling, multiple representations, symbolic fluency, and exam-style communication.

8 public curriculum units1 tutor availableAlways Free
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AP Precalculus / college algebra and trigonometry

AP Precalculus curriculum

An AP Precalculus path built around function modeling, multiple representations, symbolic fluency, and exam-style communication.

Pacing
8 units, 24-34 weeks self-paced
Units
8 unit sequence
Practice
640 checked answers
Support
Self-paced or tutor-guided
Outcomes
  • Model polynomial, rational, exponential, logarithmic, trigonometric, polar, parametric, vector, and matrix situations.
  • Translate between graphs, tables, formulas, verbal descriptions, and calculator evidence.
  • Write AP-ready explanations with assumptions, residual evidence, and precise mathematical language.

Video companion links

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Unit sequence

Built for independent progress first, then tutor support where the student gets stuck.

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  1. 01

    AP modeling toolkit and function behavior

    • Use average rate of change, concavity language, transformations, domain, range, and model limits.
    • Read function behavior across graphs, tables, formulas, and contexts.

    Practice: Choose a function representation for a contextual model and justify the assumptions and limitations.

  2. 02

    Polynomial and rational functions

    • Analyze zeros, multiplicity, end behavior, asymptotes, holes, and rates of change.
    • Build and validate polynomial and rational models from scenarios.

    Practice: Sketch and explain a rational model using intercepts, asymptotes, domain restrictions, and contextual limits.

  3. 03

    Exponential and logarithmic functions

    • Use geometric sequences, exponential models, logarithmic inverses, and transformed logs.
    • Validate exponential and logarithmic models using residual reasoning.

    Practice: Fit an exponential or logarithmic model to data and explain what the residuals say about model fit.

  4. 04

    Trigonometric function foundations

    • Connect right-triangle trig, unit-circle values, radians, inverses, and identities.
    • Solve trigonometric equations with domain and range restrictions.

    Practice: Solve a trig equation and write why the chosen interval changes the possible answers.

Need the complete source list and remaining units? Open the full AP Precalculus curriculum.

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