The full course, start to finish, in the order we teach it. Work down the map one stop at a time — each builds on the one before.
Higher Level assumes a lot of Junior Cert groundwork without ever re-teaching it — and it's usually the gaps here, not the hard topics, that cost marks. Have a quick look down this list before Algebra 1.
Indices, surds and logs, algebraic fractions, and inequalities — where most marks quietly get lost.
Coming soonCubics and the factor theorem, the discriminant, completing the square, and the harder abstract algebra questions.
Coming soonRight-angled triangles, the sine and cosine rules, area of a triangle, radians and the unit circle.
Coming soonIdentities, trig equations, graphs and transformations, double-angle formulae and 3D problems.
Coming soonThe line and the circle — slopes, distances, equations, intersections, tangents and angle problems.
Coming soonDomain and range, graph shapes and transformations, injective and surjective, limits and continuity.
Coming soonFirst principles, the product, quotient and chain rules, tangents, max/min problems and rates of change.
Coming soonAnti-derivatives, definite integrals, area under curves, average value and the trapezoidal rule.
Coming soonThe examinable theorems and proofs, constructions, enlargements, and area and volume of solids.
Coming soonSequences and series, arithmetic and geometric progressions, sums to infinity and proof by induction.
Coming soonThe Argand diagram, modulus and conjugates, polar form, de Moivre's theorem and roots of equations.
Coming soonData types and spread, the normal distribution, confidence intervals, hypothesis tests and p-values.
Coming soonCounting and arrangements, the probability rules, conditional probability, Bernoulli trials and distributions.
Coming soon