Master the shifted hyperbola — understand WHY asymptotes exist, how every parameter affects the graph, how to sketch from the equation, find the equation from a graph, determine lines of symmetry, and solve intersection problems — with full worked examples.
Master the turning point form, sketching from equation, finding the equation from a graph, domain and range, and x-intercepts — with full worked examples.
Compound interest, different compounding periods, depreciation, and timelines — the maths of money.
Master the logic of shifts, transformations, and asymptotes for parabolas, hyperbolas, and more.
Master inclination, the equation of a circle, and tangent lines.
Master cyclic quadrilateral properties (and how to PROVE a quad is cyclic), tangent theorems, the tan-chord angle, and multi-step geometry proofs — with full worked examples and exam strategies.
Every circle theorem explained with WHY it works, how to spot it in a diagram, and full worked proof examples — the foundation for 40+ marks in Paper 2.
Master the logic of Euclidean geometry in circles, chords, and tangents.
Master quadratic number patterns — understand WHY second differences are constant, how to derive the general term, how to find specific terms from given conditions, and how to solve exam-style problems — with full worked examples.
Master the logic of quadratic patterns and second differences.
