IB Math RevisionIB Maths AI HL syllabus checklist
Every part of the IB Maths AI 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
- 77 points to tick
- Free and printable
The exam at a glance
| AI HL | Time | Weighting | Technology (GDC) |
|---|---|---|---|
| Paper 1 | 2 hours | 30% | 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: applications and interpretation (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 AI HL: syllabus checklist · ibmathrevision.com/syllabus/ib-maths-ai-hl
Topic 1 Number and algebra
- Simple interest and compound interestSL
- Geometric sequences and seriesSL
- Financial mathematics (loans, annuities, depreciation)SL
- Scientific notation, approximations and boundsSL
- Percentage error and estimationSL
- Solving systems of linear equations (up to 3×3)SL
- Exponentials and logarithms (base 10 and base e)SL
- Number patterns and predictionsSL
- Infinite geometric seriesHL only
- Logarithms — natural and change of baseHL only
- Complex numbers: Cartesian, polar, Argand diagramsHL only
- Matrices: operations, determinant, inverseHL only
- Eigenvalues and eigenvectors (2×2)HL only
- Markov chains and transition matricesHL only
Topic 2 Functions
- Function fundamentals (domain, range, notation)SL
- Graphing linear and quadratic functionsSL
- Graphing exponential and logarithmic functionsSL
- Piecewise, cubic and other polynomial modelsSL
- Trigonometric (sinusoidal) modellingSL
- Real-world applications of functionsSL
- Solving equations graphicallySL
- Composite and inverse functionsHL only
- Transformations of graphsHL only
- Advanced modelling (logistic, piecewise)HL only
- Scaling and linearising data (log-log, semi-log)HL only
- Non-linear regression modelsHL only
Topic 3 Geometry and trigonometry
- Coordinate geometry: distance, midpointSL
- Equations of straight linesSL
- Voronoi diagrams and toxic-waste problemsSL
- Right-angled trigonometry (SOHCAHTOA)SL
- Non-right triangles: sine rule + cosine ruleSL
- 3D geometry: surface area and volume of solidsSL
- Angles of elevation and depressionSL
- Vectors and vector notation (2D + 3D)HL only
- Scalar productHL only
- Vector equations of linesHL only
- Kinematics with vectorsHL only
- Voronoi diagrams (extended)HL only
- Graph theory: adjacency matrices, walksHL only
- Minimum spanning trees (Kruskal + Prim)HL only
- Chinese postman & travelling salesmanHL only
Topic 4 Statistics and probability
- Sampling techniques and biasSL
- Descriptive statistics (mean, median, mode, spread)SL
- Cumulative frequency, quartiles, IQRSL
- Bivariate data: scatter, correlation rSL
- Linear regression and predictionsSL
- Probability rules and Venn diagramsSL
- Independent and conditional probabilitySL
- Discrete and normal distributionsSL
- χ² tests for independence and goodness of fitSL
- Data collection and non-linear regressionHL only
- Poisson distributionHL only
- Linear combinations of random variablesHL only
- Sampling distribution of the mean + CLTHL only
- Confidence intervals for a meanHL only
- Hypothesis testing (z-tests, t-tests)HL only
- χ² tests for independence + goodness of fitHL only
- Type I and Type II errorsHL only
- Markov chains (steady state)HL only
Topic 5 Calculus
- Introduction to limits and rates of changeSL
- Differentiation from first principles (informal)SL
- Power rule (positive integer powers)SL
- Tangents and normalsSL
- Local max/min and optimisationSL
- Integration as reverse of differentiationSL
- Definite integrals and area under curvesSL
- Trapezoidal rule for approximationsSL
- Advanced differentiation and chain ruleHL only
- Related ratesHL only
- Second derivative, concavity, points of inflectionHL only
- Optimisation with constraintsHL only
- Advanced integration (substitution)HL only
- Kinematics and area under curvesHL only
- Volumes of revolutionHL only
- Differential equations & Euler's methodHL only
- Coupled DEs, phase portraitsHL only
- Maclaurin series (first few terms)HL 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.