AP Precalculus · AP Calculus AB · AP Calculus BC · AP Statistics
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Build mathematical reasoning across functions, modelling, limits, derivatives, integrals, series, probability, and statistical inference.
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AP Calculus · Functions
🔥 12
Question 4 of 6
Which graph represents
y = x² − 4?
Exactly!
Subtracting 4 shifts the parabola down.
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Algebra
Mastery
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AP Physics 1 · AP Physics 2 · AP Physics C: Mechanics · AP Physics C: E&M
AP Physics
Connect representations, experiments, data, and quantitative reasoning across mechanics, fluids, thermodynamics, electricity, magnetism, optics, and modern physics.
AP course directory
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course pathway.
Choose the AP course offered by your school. Each pathway links directly to its official College Board course page.
AP MathsPrecalculus
AP Precalculus
Functions, modelling, representations, and preparation for calculus-level reasoning.
Official College Board page ↗AP MathsAB
AP Calculus AB
Limits, derivatives, integrals, differential equations, and applications of calculus.
Official College Board page ↗AP MathsBC
AP Calculus BC
All AB content plus parametric, polar, vector-valued functions, and infinite series.
Official College Board page ↗AP MathsStatistics
AP Statistics
Data analysis, probability, sampling, experimentation, and statistical inference.
Official College Board page ↗AP Physics1
AP Physics 1
Algebra-based mechanics, energy, momentum, rotation, oscillations, and fluids.
Official College Board page ↗AP Physics2
AP Physics 2
Algebra-based thermodynamics, electricity, magnetism, optics, and modern physics.
Official College Board page ↗AP Physics CMechanics
Physics C: Mechanics
Calculus-based mechanics with derivations, modelling, and experimental reasoning.
Official College Board page ↗AP Physics CE&M
Physics C: Electricity & Magnetism
Calculus-based electrostatics, circuits, magnetic fields, and electromagnetic induction.
Official College Board page ↗AP course availability depends on the courses offered by your school. Confirm prerequisites and enrolment requirements before planning your pathway.
AP course navigator
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you need to master.
Use these College Board-aligned maps to organise course learning, science practices, mathematical reasoning, and AP exam preparation.
APPrecalculus
AP Precalculus
Polynomial & rational functionsExponential & logarithmic functionsTrigonometric & polar functionsFunctions involving parametersModellingMultiple representations
ABCalculus
AP Calculus AB
Limits & continuityDifferentiationApplications of derivativesIntegrationDifferential equationsApplications of integrationJustification
BCCalculus
AP Calculus BC
All Calculus AB contentParametric equationsPolar coordinatesVector-valued functionsInfinite sequences & seriesTaylor series
APStatistics
AP Statistics
Exploring one-variable dataExploring two-variable dataCollecting dataProbabilityRandom variablesSampling distributionsStatistical inference
P1Algebra-based
AP Physics 1
KinematicsForce & translational dynamicsWork, energy & powerLinear momentumRotational dynamicsOscillationsFluidsScience practices
P2 / CAdvanced physics routes
AP Physics 2 and Physics C
ThermodynamicsElectric force & fieldsCircuitsMagnetismOpticsModern physicsCalculus-based mechanicsElectricity & magnetismLab reasoning
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Official College Board course pages and free-response questions come first. Independent practice resources are clearly labelled for extra preparation.
Official College Board
AP courses and exams
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Open AP Students ↗ Official College BoardCourse & Exam Descriptions
Access the core course framework documents and exam resources for every AP subject.
Open AP Central ↗ Official College BoardAP Calculus free-response questions
Practise released free-response questions, scoring guidelines, and sample responses.
Open official FRQs ↗ Official College BoardAP Physics free-response questions
Use released Physics questions and scoring materials for exam-focused practice.
Open official FRQs ↗ Independent free resourceKhan Academy AP Mathematics
Free lessons and practice for AP Calculus and supporting mathematics skills.
Browse Khan Academy ↗ Independent free resourceFlipping Physics
Free AP Physics explanations, demonstrations, and problem-solving support.
Visit Flipping Physics ↗Always check your AP course and exam year before using third-party material. AP Path is not affiliated with College Board or the independent websites listed above.
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Visit official @phyfix channelFeatured foundation lesson
Distance vs. Displacement
Start with the language of motion, then connect it to graphs, speed, velocity, and the mechanics questions that follow.
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Representation
Mathematics · 12 min
x²+4=
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