Free topical revision checklist for IB DP Mathematics: Applications and Interpretation (AI) SL & HL. Track confidence (1–5), last reviewed and next review. Aligned to 2026 IB DP expectations. Rate your confidence (1–5), track review dates, then export as CSV or print.
| Topic | Sub-topic | Resources | Confidence (1–5) | Last reviewed | Next review |
|---|---|---|---|---|---|
| 1. Number & algebra (core) | Indices and scientific notation in context | Topic resources | |||
| 1. Number & algebra (core) | Logarithms and exponentials; interpreting growth rates | Topic resources | |||
| 1. Number & algebra (core) | Financial mathematics: simple/compound interest, depreciation, annuities (as taught) | Topic resources | |||
| 1. Number & algebra (core) | Arithmetic sequences and series in context | Topic resources | |||
| 1. Number & algebra (core) | Geometric sequences and series in context | Topic resources | |||
| 1. Number & algebra (core) | Solving equations using technology (solver output, checking solutions) | Topic resources | |||
| 1. Number & algebra (core) | Systems of equations (algebraic/graphical/technology) and interpretation | Topic resources | |||
| 1. Number & algebra (core) | Inequalities and feasible regions (when used in modelling) | Topic resources | |||
| 2. Functions & modelling (core) | Function families: linear, quadratic, exponential, logarithmic, piecewise | Topic resources | |||
| 2. Functions & modelling (core) | Parameter meaning and units in models | Topic resources | |||
| 2. Functions & modelling (core) | Regression types (linear, exponential, power, logistic where applicable) | Topic resources | |||
| 2. Functions & modelling (core) | Goodness-of-fit: residuals, (r), (R^2) (interpretation, limitations) | Topic resources | |||
| 2. Functions & modelling (core) | Interpolation vs extrapolation; domain restrictions | Topic resources | |||
| 2. Functions & modelling (core) | Transformations, inverses and composites (as required) | Topic resources | |||
| 2. Functions & modelling (core) | Model assumptions; sensitivity and limitations | Topic resources | |||
| 2. Functions & modelling (core) | Technology workflows: regression, graphing windows, table features | Topic resources | |||
| 3. Geometry & trigonometry (core) | Right-triangle trigonometry in context | Topic resources | |||
| 3. Geometry & trigonometry (core) | Radian measure; arc length and sector area | Topic resources | |||
| 3. Geometry & trigonometry (core) | Sine/cosine rules and triangle area formula | Topic resources | |||
| 3. Geometry & trigonometry (core) | Bearings, navigation and elevation/depression problems | Topic resources | |||
| 3. Geometry & trigonometry (core) | Vectors: components and simple vector geometry (as required) | Topic resources | |||
| 3. Geometry & trigonometry (core) | 2D/3D measurement: surface area/volume (as required for modelling) | Topic resources | |||
| 4. Statistics & probability (core + HL depth) | Data types; sampling methods; bias and reliability | Topic resources | |||
| 4. Statistics & probability (core + HL depth) | Descriptive statistics: mean/median/mode; SD/variance; IQR/outliers | Topic resources | |||
| 4. Statistics & probability (core + HL depth) | Data displays: histograms, box plots, scatterplots (interpretation) | Topic resources | |||
| 4. Statistics & probability (core + HL depth) | Correlation vs causation; confounding variables | Topic resources | |||
| 4. Statistics & probability (core + HL depth) | Probability rules; combined events; tree diagrams | Topic resources | |||
| 4. Statistics & probability (core + HL depth) | Conditional probability; Bayes’ theorem — (HL emphasis) | Topic resources | |||
| 4. Statistics & probability (core + HL depth) | Random variables; binomial and normal distributions (as required) | Topic resources | |||
| 4. Statistics & probability (core + HL depth) | Technology: distribution functions, simulation and sampling | Topic resources | |||
| 4. Statistics & probability (core + HL depth) | Inference: confidence intervals (interpretation) — (HL emphasis) | Topic resources | |||
| 4. Statistics & probability (core + HL depth) | Inference: hypothesis testing (p-values, errors) — (HL emphasis) | Topic resources | |||
| 5. Calculus (core + HL extensions) | Derivative as rate of change in modelling contexts | Topic resources | |||
| 5. Calculus (core + HL extensions) | Optimisation with constraints (interpret results and reasonableness) | Topic resources | |||
| 5. Calculus (core + HL extensions) | Definite integrals as accumulation; area under curves | Topic resources | |||
| 5. Calculus (core + HL extensions) | Numerical methods / technology integration (trapezoidal rule, solver outputs) — (as taught) | Topic resources | |||
| 5. Calculus (core + HL extensions) | Further calculus applications and modelling — (HL depth) | Topic resources | |||
| 6. Internal Assessment (IA) readiness | Pick a real-world context where maths + technology add value (not just plotting) | Topic resources | |||
| 6. Internal Assessment (IA) readiness | Explain model choice, parameter estimation and validation | Topic resources | |||
| 6. Internal Assessment (IA) readiness | Analyse uncertainty/limitations; propose refinements | Topic resources | |||
| 6. Internal Assessment (IA) readiness | Present mathematics clearly with correct notation and interpretation | Topic resources |
Tip: Pair this checklist with past paper practice and spaced repetition. Always confirm exact assessment components (SL/HL, options) with your school’s IB DP route for the 2026 exam session.
Quick answers about this free revision checklist, how to use it for exam prep, and how it relates to the official syllabus.
This revision checklist mirrors the official IB DP Mathematics: Applications and Interpretation (AI) syllabus for the 2026 examination series. Every topic and sub-topic on the page is taken from the published syllabus document, so working through the list in order gives you full coverage of what your exam can assess. It covers both Standard Level (SL) and Higher Level (HL) topic expectations. For the authoritative version, always cross-check with the latest syllabus PDF on your exam board's website before your final revision push.
The number of top-level topic groups varies by subject, but you can see the exact count on this page — each major heading in the checklist corresponds to one syllabus topic group, and each row below it is a syllabus-level sub-topic. Use the confidence column (1–5) to flag which sub-topics need more work, and re-score yourself weekly to track real progress instead of guessing.
16–20 weeks of consistent revision is realistic for IB DP — work through one topic per week alongside ongoing past-paper practice and Internal Assessment polish. Use this checklist to plan your weeks: filter by topics you have rated 1–3 and spend your first revision block there. Subjects with heavy practical or extended-writing components (e.g. sciences, English) need more past-paper time in the final block than the topic-by-topic phase.
Revise in roughly the order the syllabus lists the topics — exam boards build later topics on earlier ones, so taking them in syllabus order avoids gaps. Once you have rated every topic, switch to weakest-first: filter the checklist by confidence ≤ 2 and prioritise those topics in your next study block. This is more effective than re-revising topics you already score 4–5 on.
You can find past papers and mark schemes via Tutopiya's Past Paper Finder and on your exam board's official site. Once you have rated each sub-topic on this checklist, attempt past-paper questions on your weakest topics first — practising under timed conditions is the single best predictor of exam performance, more so than re-reading notes.
Use the Download CSV or Print PDF button at the bottom of the checklist. CSV opens in Excel, Numbers or Google Sheets so you can sort by confidence and re-arrange revision order. The PDF is print-ready for offline use. A free Tutopiya account is required for download — this also unlocks the matching topic resources, notes and worked examples on the Learning Portal.
Yes, the checklist itself is free — you can view, score and re-score every topic on this page without an account. The CSV / PDF downloads and access to matching Tutopiya Learning Portal resources require a free account. There is no payment required at any point; teachers and parents can also use this checklist freely with their students.
Yes. The topics and sub-topics on this page are drawn from the current 2026 IB DP Mathematics: Applications and Interpretation (AI) specification published by your exam board. Exam boards occasionally tweak weighting or assessment structure mid-cycle, so do a quick sanity-check against the official syllabus PDF when you start your revision and again 4 weeks before the exam.