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.