Year 12 Maths.
Index laws, surds, proof by deduction
Solving, factorising, discriminant, polynomial division
Mutually exclusive, independent, tree diagrams, Venn
Domain/range, composite, inverse, transformations y=f(ax+b)
Sin/cos/tan exact, graphs, small angle approx
Constant acceleration equations, suvat problems
e, ln, solving equations, modelling
Rules (power, exp, trig, chain), first principles intro
Tangents/normals, stationary points, rates of change
Mean/variance, cumulative, solving
Indefinite, definite, reverse chain
Pythagorean, double angle, solving equations
(1+x)^n, (a+bx)^n, approximations
Equation of circle, tangent, intersection
Standardising, tables, approximation
Areas between curves, volumes of revolution
v=∫a dt, s=∫v dt, max height
Arithmetic/geometric, sigma notation, convergence
Optimisation, implicit, connected rates
Null/alternative, critical region, p-value
Addition, scalar product, lines in 2D/3D
Trapezium rule, differential equations intro
Resolving, F=ma, inclined planes
Combined problems
Growth/decay, ln graphs, rates
Mixed calculus problems
Trig equations in context, Rcos(θ-α)
Equilibrium, resultants
Combined series/approx
One/two-tailed, large sample
Line & plane problems
Modelling with DE, numerical
Projectiles with variable a
Combined modelling
Probability + distributions + testing
Hard synoptic calculus
All algebraic techniques
Mixed Year 12 synoptic + Year 13 preview (partial fractions, parametric intro)
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