AP Calculus AB curriculum

Start with AP Calculus AB and AP/College Calculus AB. Take notes until you can explain: Estimate and compute limits from graphs, tables, and formulas.

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 mixed limit set and justify one continuity or existence claim in words.

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 continuity, asymptotes, the Squeeze Theorem, and the Intermediate Value Theorem.

Start with AP Calculus AB and AP/College Calculus AB. Take notes until you can explain: Use the derivative definition as an instantaneous rate and local linear model.

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: Derive one derivative from the limit definition, then connect it to a graph and contextual rate.

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: Differentiate elementary functions with product and quotient rules.

Start with AP Calculus AB and AP/College Calculus AB. Take notes until you can explain: Apply chain, implicit, and inverse-function differentiation.

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 mixed differentiation set and annotate which rule controls every nontrivial step.

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 higher derivatives and select efficient rule combinations.

Start with AP Calculus AB and AP/College Calculus AB. Take notes until you can explain: Model motion, related rates, and local linearity.

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: Write a complete related-rates solution with diagram, variables, equation, derivative, substitution, and conclusion.

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 derivative values and units in context.

Start with AP Calculus AB and AP/College Calculus AB. Take notes until you can explain: Use extrema, Mean Value Theorem, derivative tests, concavity, and optimization.

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: Analyze an unfamiliar function from derivative evidence and solve one constrained optimization problem.

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: Connect graphs of a function and its derivatives.

Start with AP Calculus AB and AP/College Calculus AB. Take notes until you can explain: Use Riemann sums, definite integrals, accumulation functions, antiderivatives, and the Fundamental Theorem.

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: Approximate an accumulation numerically, compute it exactly, and explain what the signed result means.

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 integral values and units.

Start with AP Calculus AB and AP/College Calculus AB. Take notes until you can explain: Use slope fields, separable equations, and initial conditions.

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 an initial-value problem and verify the solution in the original differential equation.

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 interpret exponential growth and decay models.

Start with AP Calculus AB and AP/College Calculus AB. Take notes until you can explain: Use integrals for average value, net change, particle motion, area, and volume.

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 mixed free-response set, score it with an error log, and submit one corrected solution per error category.

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: Combine calculator-active and calculator-free reasoning under AP timing.