IB Mathematics Blog

Sequences, series, binomial theorem, complex numbers, and proof by induction — complete topic 1 guide.

Domain and range, inverse functions, transformations, exponential, logarithmic, and rational functions.

Trig functions, identities, sine and cosine rules, vectors, and 3D geometry applications.

Distributions, hypothesis testing, normal distribution, Bayes' theorem, and regression analysis.

Differentiation, integration, kinematics, related rates, and differential equations — the HL favourite.

Financial mathematics, compound interest, amortisation, currency conversions, and logarithms applied.

Linear, quadratic, exponential, sinusoidal models — fitting real-world data with mathematical functions.

Bivariate analysis, chi-squared tests, Spearman's rank, regression — the heart of IB AI mathematics.

Topic weights, HL-only content, Paper 3 strategy, and how to score Grade 7 on IB Math Analysis & Approaches HL.

Full comparison of Analysis & Approaches vs Applications & Interpretation — content, difficulty, and university requirements by field.

How Paper 3 works, common themes (proof, sequences, calculus extensions), partial credit strategy, and how to maximise marks on unfamiliar problems.

All five criteria (A–E), topic ideas for AA HL and AI HL, structure walkthrough, and examiner tips for scoring 18–20/20.