AP Precalculus curriculum

Start with AP Precalculus and Precalculus. Take notes until you can explain: Use average rate of change, concavity language, transformations, domain, range, and model limits.

Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

Produce the assignment artifact, then pass the application and analysis checks tied to: Choose a function representation for a contextual model and justify the assumptions and limitations.

Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

Bring your attempted work, the exact missed check, and one question about: Read function behavior across graphs, tables, formulas, and contexts.

Start with AP Precalculus and Precalculus. Take notes until you can explain: Analyze zeros, multiplicity, end behavior, asymptotes, holes, and rates of change.

Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

Produce the assignment artifact, then pass the application and analysis checks tied to: Sketch and explain a rational model using intercepts, asymptotes, domain restrictions, and contextual limits.

Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

Bring your attempted work, the exact missed check, and one question about: Build and validate polynomial and rational models from scenarios.

Start with AP Precalculus and Precalculus. Take notes until you can explain: Use geometric sequences, exponential models, logarithmic inverses, and transformed logs.

Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

Produce the assignment artifact, then pass the application and analysis checks tied to: Fit an exponential or logarithmic model to data and explain what the residuals say about model fit.

Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

Bring your attempted work, the exact missed check, and one question about: Validate exponential and logarithmic models using residual reasoning.

Start with AP Precalculus and Precalculus. Take notes until you can explain: Connect right-triangle trig, unit-circle values, radians, inverses, and identities.

Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

Produce the assignment artifact, then pass the application and analysis checks tied to: Solve a trig equation and write why the chosen interval changes the possible answers.

Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

Bring your attempted work, the exact missed check, and one question about: Solve trigonometric equations with domain and range restrictions.

Start with AP Precalculus and Precalculus. Take notes until you can explain: Model periodic phenomena with amplitude, period, phase shift, and midline.

Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

Produce the assignment artifact, then pass the application and analysis checks tied to: Create a sinusoidal model from context and compare it to a polar representation of changing radius and angle.

Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

Bring your attempted work, the exact missed check, and one question about: Interpret polar coordinates, polar rates, and polar graphs.

Start with AP Precalculus and Precalculus. Take notes until you can explain: Use parametric functions, vectors, transformation matrices, and matrix models.

Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

Produce the assignment artifact, then pass the application and analysis checks tied to: Represent a motion path parametrically and explain the role of the parameter, vector direction, and matrix transformation.

Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

Bring your attempted work, the exact missed check, and one question about: Interpret parameter-driven change and vector motion.

Start with AP Precalculus and Precalculus. Take notes until you can explain: Use graphing technology to inspect fits, intersections, residuals, and limits.

Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

Produce the assignment artifact, then pass the application and analysis checks tied to: Solve a calculator-active model task and write a conclusion that cites the graph, table, and algebraic checks.

Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

Bring your attempted work, the exact missed check, and one question about: Communicate conclusions without hiding behind calculator output.

Start with AP Precalculus and Precalculus. Take notes until you can explain: Practice mixed AP-style function modeling and communication tasks.

Do the first sequenced checks until the definitions, vocabulary, and setup are correct without hints.

Produce the assignment artifact, then pass the application and analysis checks tied to: Complete a free-response portfolio with one revised solution per function family and a final error audit.

Any miss becomes an error-log entry, a clean redo, and one nearby transfer problem before advancing.

Bring your attempted work, the exact missed check, and one question about: Use an error log to repair weak representations and reasoning gaps.