AP Calculus BC curriculum

Start with AP Calculus BC and AP/College Calculus BC. Take notes until you can explain: Compute and justify limits in multiple representations.

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: Build a one-page limit decision map and defend two theorem-based conclusions.

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, asymptotic behavior, and major limit theorems.

Start with AP Calculus BC and AP/College Calculus BC. Take notes until you can explain: Use the derivative definition and connect differentiability to continuity.

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, calculate, graph, and interpret the derivative of one function.

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: Apply elementary derivative rules accurately at BC pace.

Start with AP Calculus BC and AP/College Calculus BC. Take notes until you can explain: Use chain, implicit, inverse, and higher-order 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: Complete mixed derivative problems and verify two answers numerically or graphically.

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 rules in algebraically demanding settings.

Start with AP Calculus BC and AP/College Calculus BC. Take notes until you can explain: Solve motion, related-rates, and local-linearization problems.

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 one motion analysis and one related-rates response with units and contextual conclusions.

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 L'Hospital's rule only after verifying its conditions.

Start with AP Calculus BC and AP/College Calculus BC. Take notes until you can explain: Use extrema, theorem conditions, derivative tests, graph analysis, 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: Produce a complete function analysis from derivative sign and concavity evidence.

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: Analyze implicit relations and model limitations.

Start with AP Calculus BC and AP/College Calculus BC. Take notes until you can explain: Use the Fundamental Theorem, substitution, integration by parts, partial fractions, and improper integrals.

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 integration set and label the structural clue that selects each method.

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: Choose an integration method from structure rather than guesswork.

Start with AP Calculus BC and AP/College Calculus BC. Take notes until you can explain: Use slope fields, Euler's method, separable equations, and logistic 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: Approximate an initial-value problem with Euler's method, solve it analytically when possible, and compare errors.

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: Compare numerical and analytic solutions with error awareness.

Start with AP Calculus BC and AP/College Calculus BC. Take notes until you can explain: Use integrals for motion, average value, area, volume, and arc length.

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 and solve an area-or-volume model with a diagram, bounds, units, and reasonableness check.

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: Set up geometry from descriptions and diagrams.

Start with AP Calculus BC and AP/College Calculus BC. Take notes until you can explain: Differentiate and integrate parametric and vector-valued motion.

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 one plane-motion path and one polar region using both geometric and calculus evidence.

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: Find polar slopes, areas, arc lengths, and rates.

Start with AP Calculus BC and AP/College Calculus BC. Take notes until you can explain: Use convergence tests and estimate remainder error.

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 convergence decision set and construct a Taylor approximation with an explicit error bound.

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: Find power-series intervals and build Taylor and Maclaurin representations.