IB Math RevisionIB Maths AA HL syllabus checklist
Every part of the IB Maths AA HL course in plain English, grouped by the five syllabus topics (HL-only content marked). Tick each point when you can do it; every point links to free practice questions on that topic.
- 5 topics
- 70 points to tick
- Free and printable
The exam at a glance
| AA HL | Time | Weighting | Technology (GDC) |
|---|---|---|---|
| Paper 1 | 2 hours | 30% | No technology allowed |
| Paper 2 | 2 hours | 30% | Technology allowed |
| Paper 3 | 1 hour 15 minutes | 20% | Technology allowed |
| Internal assessment (exploration) | Through the course | 20% | Not an exam |
Paper 3 is two compulsory extended-response problem-solving questions.
Technology means a graphic display calculator (GDC).
A copy of the formula booklet is provided in every exam paper.
Sources: the IB subject brief for Mathematics: analysis and approaches (weightings and technology) and the IB's November 2026 exam schedule (times). We link to them and never copy them.
The syllabus, topic by topic
IB Maths AA HL: syllabus checklist · ibmathrevision.com/syllabus/ib-maths-aa-hl
Topic 1 Number and algebra
- Arithmetic sequences and seriesSL
- Geometric sequences and series (finite + infinite)SL
- Sigma notationSL
- Exponentials and logarithms — laws of logsSL
- Change of base formulaSL
- Binomial theorem (positive integer n)SL
- Financial math (compound interest, annuities)SL
- Proof (deductive, direct)SL
- Proof: direct, contrapositive, contradiction, inductionHL only
- Counting principles and binomial theorem (rational n)HL only
- Systems of linear equations (3×3)HL only
- Partial fractionsHL only
- Complex numbers: Cartesian, polar, EulerHL only
- De Moivre's theoremHL only
- Roots of unityHL only
Topic 2 Functions
- Function notation, domain, range, inverseSL
- Composite functionsSL
- Transformations of graphsSL
- Quadratic functions: forms, discriminantSL
- Rational and reciprocal functionsSL
- Exponential and logarithmic functionsSL
- Equations of straight linesSL
- Solving equations analytically and graphicallySL
- Odd, even functions; modulus and inequalitiesHL only
- Polynomials: factor + remainder theoremsHL only
- Rational functions and asymptotesHL only
- Transformations and modulus graphsHL only
- Solving |f(x)| = g(x) type equationsHL only
Topic 3 Geometry and trigonometry
- Right-angled trigonometrySL
- Non-right triangles (sine + cosine rule)SL
- Radians and arc length / sector areaSL
- Unit circle and exact valuesSL
- Trig identities (Pythagorean, double-angle)SL
- Solving trigonometric equationsSL
- Graphs of sin, cos, tan (transformations)SL
- Reciprocal trig ratios (sec, csc, cot)HL only
- Inverse trig functionsHL only
- Compound and double-angle identitiesHL only
- 3D vectors: dot + cross productHL only
- Vector equations of lines and planesHL only
- Intersections of lines/planesHL only
- Angle between two lines / two planesHL only
Topic 4 Statistics and probability
- Presentation of dataSL
- Measures of central tendency + spreadSL
- Bivariate data and correlationSL
- Sample space, complementary eventsSL
- Independent + mutually exclusive eventsSL
- Conditional probability (incl. tree diagrams)SL
- Discrete random variables and E(X)SL
- Binomial and normal distributionsSL
- Conditional probability + Bayes' theoremHL only
- Discrete + continuous random variablesHL only
- Advanced binomial and normal distributionsHL only
- Linear transformations: E(aX + b) and Var(aX + b)HL only
Topic 5 Calculus
- Limits and rates of changeSL
- Differentiation: chain, product, quotient rulesSL
- Second derivative, concavity, inflectionSL
- Optimisation and related ratesSL
- Integration by inspection and substitutionSL
- Definite integrals and area between curvesSL
- Kinematics: displacement, velocity, accelerationSL
- First principles: derivative definitionHL only
- Implicit differentiationHL only
- Related rates + optimisationHL only
- Integration by parts and substitutionHL only
- Integration using partial fractionsHL only
- Volumes of revolutionHL only
- Differential equations (separable, integrating factor)HL only
- Maclaurin series and error termsHL only
- L'Hôpital's ruleHL only
Questions
Is this the official IB syllabus?
No. It is our own plain-English checklist of what the course covers. undefined is independent and is not affiliated with or endorsed by any exam board. For the exact wording, use the official link above.
Where are my ticks saved?
In this browser straight away. Sign in with a free account and they are saved to your account too, so they follow you to any device. They are the same ticks as on our interactive syllabus checklist.
How do I print it?
Use the Print button (or your browser's print). The printout is a clean one- or two-page list with a box next to every point, ready to tick by hand.