Number and Algebra

Financial mathematics, sequences and series, logarithms, and exponential equations in applied real-world contexts. AI SL Number and Algebra covers arithmetic and geometric progressions, compound interest, depreciation, loan repayments, and annuities — the foundational quantitative skills underpinning all five AI SL topics and assessed across both IB Paper 1 and Paper 2.

Functions

Mathematical modelling using linear, quadratic, exponential, logarithmic, and sinusoidal functions. AI SL Functions develops the ability to identify, interpret, and apply function models to real-world data — a core skill in the IB Internal Assessment and examined in both AI SL Paper 1 and Paper 2. Includes graph transformations, key features, and technology-supported regression.

Geometry and Trigonometry

Right-angle and non-right-angle trigonometry, 3D geometry, and spatial applications in practical survey and design contexts. AI SL Geometry and Trigonometry covers the sine rule, cosine rule, area formula, surface areas and volumes of prisms, pyramids, spheres, and cones — all examined in structured multi-part questions across IB AI SL Paper 1 and Paper 2.

Statistics and Probability

The most heavily weighted AI SL topic — covering descriptive statistics, bivariate analysis, linear regression, the correlation coefficient, probability rules, conditional probability, the binomial and normal distributions, and formal hypothesis testing using the chi-squared test and t-test. Statistics and Probability skills are directly applicable to the IA and appear across all AI SL examination papers.

Calculus

Differentiation and integration in applied, technology-supported contexts — covering rates of change, optimisation, kinematics, and areas under curves. AI SL Calculus is assessed in Paper 2 with technology and in structured applied problem-solving questions. Strong calculus skills directly support the Internal Assessment investigation and preparation for AI HL.

Get Number and Algebra, Functions, Geometry and Trigonometry, Statistics and Probability, and Calculus in a single enrolment — and build complete coverage of the Applications & Interpretation SL syllabus without paying for each topic separately.

Enrol — All 5 Topics →