All six components of Cambridge AS & A Level Mathematics 9709, section by section. AS takes Pure 1 with Pure 2, Mechanics or Statistics 1; A Level adds Pure 3 and a second applied paper. Lessons built around worked examples are arriving component by component.
The AS pure core that every route takes: quadratics, functions, coordinate geometry, radians, trigonometry, series, and first calculus.
The AS pure-only route (Papers 1 and 2, cannot carry forward to A Level). Every Paper 2 section is part of Pure Mathematics 3, so these lessons are shared with Paper 3.
Particles under forces: equilibrium and friction, kinematics in a straight line, momentum, Newton's laws, and work, energy and power.
Representing data, permutations and combinations, probability, discrete random variables including binomial and geometric, and the normal distribution.
The A Level pure paper: algebra and partial fractions, logarithms, further trigonometry and calculus, numerical methods, 3D vectors, differential equations and complex numbers.
The Poisson distribution, linear combinations of random variables, continuous random variables, sampling and confidence intervals, and hypothesis tests.
IGCSE Mathematics 0580 Extended covers the algebra, graphs and trigonometry every AS section builds on.