Grade 12

Master the two-branched curve, its asymptotes, and how every parameter shifts and stretches the graph.

Understand what an inverse function really is — the swap rule, one-to-one vs many-to-one, domain restriction, reflection across y = x, and how to find and verify inverses with worked examples.

Master every parameter of the parabola, the turning point, axis of symmetry, and the domain restriction needed for its inverse.

Master the straight line, every parameter that controls it, and its perfectly reversible inverse.

Master sigma notation from the ground up — decoding the symbol, expanding, counting terms, connecting to sum formulas, and splitting sums with fully worked examples.

Master the logic of scaling — common ratio, general term, sum formulas with proofs, sum to infinity, and convergence with deep explanations and fully worked examples.

Master the logic of changing speed — first and second differences, the general term derivation, and solving for n with fully worked examples.

Master the logic of constant growth — from general term to sum formulas with deep explanations and fully worked examples.

Master Arithmetic, Quadratic, and Geometric sequences and series — worth ~25 marks in Paper 1.

Negative signs, substitution, solving equations, calculator use, and reading exam questions — the silent mark killers.