Year 12 Pure
Core AS content: algebra, graphs, trig, calculus and exponentials.
Algebraic Expressions
Ch1 — algebraic expressions, fractions, indices and surds.
Quadratics
Ch2 — solving quadratics, roots, completing the square and discriminant.
Equations & Inequalities
Ch3 — solving equations and inequalities, including modelling.
Graphs & Transformations
Ch4 — graph shapes and transformations: shifts, reflections and stretches.
Straight Line Graphs
Ch5 — y = mx + c, gradients, intercepts and parallel/perpendicular lines.
Circles
Ch6 — equations of circles, radius, centre and tangents.
Algebraic Methods
Ch7 — proof ideas and algebraic methods including partial fractions.
Binomial Expansion
Ch8 — binomial expansion and using it for approximations.
Trigonometric Ratios
Ch9 — SOHCAHTOA, sine and cosine rule and basic trig applications.
Trig Identities & Equations
Ch10 — trig identities, equations and more advanced trig techniques.
Vectors
Ch11 — vectors, magnitude, direction and geometric applications.
Differentiation
Ch12 — gradients, stationary points, chain/product/quotient rules.
Integration
Ch13 — integration, areas under curves and basic substitution.
Exponentials & Logarithms
Ch14 — exponential functions, logarithms and their rules.