Precalculus curriculum & tutors

Math

A function-centered precalculus path covering polynomial, rational, exponential, logarithmic, trigonometric, analytic geometry, vectors, sequences, and series.

9 public curriculum units1 tutor availableAlways Free
High school precalculus / calculus readiness

Precalculus curriculum

A function-centered precalculus path covering polynomial, rational, exponential, logarithmic, trigonometric, analytic geometry, vectors, sequences, and series.

Pacing
9 units, 24-34 weeks self-paced
Units
9 unit sequence
Practice
720 checked answers
Support
Self-paced or tutor-guided
Outcomes
  • Use function families fluently across symbolic, graphical, numeric, and verbal forms.
  • Build trigonometry and analytic geometry skills needed for calculus.
  • Enter calculus with modeling habits instead of memorized fragments.

Video companion links

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Unit sequence

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

View full curriculum
  1. 01

    Function toolkit review

    • Use domain, range, composition, inverse functions, and transformations.
    • Compare functions from formulas, graphs, and tables.

    Practice: Analyze three representations of the same function and explain which features each makes visible.

  2. 02

    Polynomial and rational functions

    • Use zeros, multiplicity, end behavior, asymptotes, and factoring.
    • Solve polynomial and rational equations with domain checks.

    Practice: Sketch a rational function from intercepts, asymptotes, and sign intervals.

  3. 03

    Exponential and logarithmic functions

    • Model growth, decay, compound interest, and logarithmic scales.
    • Solve exponential and logarithmic equations.

    Practice: Fit an exponential model and interpret its initial value, rate, and limitations.

  4. 04

    Trigonometric foundations

    • Use radians, the unit circle, right-triangle trig, and identities.
    • Translate among angles, coordinates, and trig values.

    Practice: Build a unit-circle reference sheet from symmetry, not memorized tables.

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

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