AP PreCalculus Online Course

Students explore polynomial, rational, exponential, logarithmic, and trigonometric functions. The curriculum emphasizes modeling periodic phenomena and data sets to build algebraic fluency required for higher-level STEM math courses.

Study Tools

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Study guides

10

4: Exponential Functions

A progressive guide to simplifying exponents, recognizing exponential behavior, building growth and decay models, calculating compound interest, fitting data, and interpreting transformed exponential graphs.
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5 — Logarithmic Functions

A structured guide to defining, transforming, graphing, evaluating, and applying logarithmic functions, with careful attention to domains and solution checks.
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3: Rational Functions

A progression-based guide to simplifying, analyzing, graphing, and solving problems involving rational functions, equations, and inequalities.
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7: Trigonometric Foundations

Build fluency with angle measures, the unit circle, special-angle values, trigonometric functions, and the identities used to evaluate and simplify expressions.
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9 - Trigonometric Equations and Applications

A progressive guide to trigonometric identities, equation-solving strategies, inverse functions, oblique triangles, and sinusoidal applications.
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8 — Trigonometric Functions and Graphs

A structured guide to identifying, transforming, graphing, and using trigonometric functions to model repeating and periodic behavior.
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6 — Systems and Algebraic Equations

A progressive guide to solving polynomial, rational, exponential, and logarithmic equations and systems by preserving domains, selecting effective methods, verifying solutions, and interpreting graphical or numerical results.
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2 - Polynomial Functions

A structured guide to polynomial functions, their algebraic operations, zeros, division methods, graph behavior, and complex roots.
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10. Modeling Functions and Data

A progressive guide to selecting, constructing, interpreting, and evaluating function models for real-world data.
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1 - Functions and Modeling

A progressive guide to evaluating, representing, transforming, composing, and inverting functions while interpreting their domains, ranges, and behavior in mathematical models.
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Quizzes

10

03/10 Rational Functions

Quiz on rational functions covering simplification, domains, discontinuities, asymptotes, graph features, rational equations, and rational inequalities. Questions progress from foundational recognition to multi-step application.
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Trigonometric Equations and Applications

A medium-difficulty assessment on trigonometric identities, inverse functions, equations, triangle-solving laws, and sinusoidal modeling. Questions progress from conceptual recognition to multistep application and justification.
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Exponential Functions

A medium-difficulty quiz on exponential functions, including exponent properties, growth and decay models, compound interest, data modeling, and graph transformations.
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Logarithmic Functions

A medium-difficulty quiz on logarithmic functions, including inverse relationships, logarithmic properties, graph features, transformations, equations, inequalities, and exponential models.
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Modeling Functions and Data

A medium-difficulty assessment on selecting, interpreting, constructing, and evaluating function models for data. The questions cover polynomial, exponential, trigonometric, rational, piecewise, and regression models, with emphasis on context, parameters, domains, residuals, and prediction limits.
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Trigonometric Functions and Graphs

A medium-difficulty quiz on parent trigonometric functions, transformations, asymptotes, reciprocal functions, graphing procedures, and sinusoidal modeling.
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06/10 Systems and Algebraic Equations

A medium-difficulty quiz on solving polynomial, rational, exponential, logarithmic, and systems of equations, including domain restrictions, graphical interpretation, and numerical methods.
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Trigonometric Foundations

A medium-difficulty quiz on angle measures, the unit circle, special angles, trigonometric functions, and fundamental identities. Questions progress from foundational applications to multi-step reasoning.
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02/10 — Polynomial Functions

A medium-difficulty quiz on polynomial functions, including polynomial operations, division, zeros, multiplicity, end behavior, graphing, rational zeros, and complex zeros. Questions progress from foundational applications to more involved analysis.
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Functions and Modeling

A medium-difficulty quiz on functions and modeling. Apply function notation, domain and range rules, representations, transformations, composition, inverse functions, and model interpretation. For multiple-select questions, choose all correct answers.
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Flashcards

10

10/10 Modeling Functions and Data

Learn how to choose, construct, interpret, fit, and evaluate mathematical function models for real-world data and predictions.
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06/10: Systems and Algebraic Equations

A focused review of domains, solution methods, verification, systems, graphing, numerical techniques, and modeling for polynomial, rational, exponential, and logarithmic equations.
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03/10 Rational Functions

This activity reviews rational functions, including simplification, domains, discontinuities, asymptotes, graph features, equations, and inequalities.
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08/10 Trigonometric Functions and Graphs

Review parent trigonometric graphs, transformations, asymptotes, reciprocal functions, graphing procedures, and sinusoidal modeling.
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05/10 Logarithmic Functions

Study Tool covering logarithm definitions, properties, graphs, transformations, equations, inequalities, and exponential modeling.
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02/10 Polynomial Functions

This activity reviews polynomial structure, operations, zeros, division, graph behavior, end behavior, and complex roots.
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07/10 Trigonometric Foundations

A focused review of angle measurement, the unit circle, trigonometric functions, special angles, quadrant signs, and fundamental identities.
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Exponential Functions

A focused review of exponent properties, exponential functions, growth and decay models, compound interest, data fitting, transformations, and model interpretation.
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09/10 Trigonometric Equations and Applications

Review core trigonometric identities, equation-solving methods, inverse functions, triangle laws, and sinusoidal modeling applications.
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01/10 Functions and Modeling

Review core ideas in functions and modeling, including notation, domains and ranges, representations, transformations, composition, inverses, and model interpretation.
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