Mathematics

Definitions, transformations, inverses, composition.

Quadratics, polynomials, the system grows to complex.

Quantifying randomness, bivariate data, regression.

The rate of change of everything.

Sine/cosine rules, identities, trigonometric graphs.

Antiderivatives, exponentials, logs, techniques.

Volumes, kinematics, ODEs, Maclaurin series.

Lines, planes, geometric reasoning in space.

Counting, binomial, normal, expected values.

Euler's formula, geometric loci, multi-angle identities, rational powers, phasors — the HL deep-dive that extends Topic 3.

From Year-8 algebra to a real IB Paper 1 — mark-earning drills, paper strategy, and self-study bridges built from real 2023 May TZ1 questions.