A-level maths / Pure 1
Pure 1 maths resources
Build the algebra, graphs and calculus you need for Year 1 A-level maths.
- Algebraic expressionsIndices, expanding and factorising, surds
- QuadraticsSolving equations, completing the square, graphs, discriminant and modelling
- Equations and inequalitiesSimultaneous equations, linear and quadratic inequalities, graph regions
- Graphs and transformationsCubic and quartic graphs, reciprocal graphs, intersections and transformations
- Straight-line graphsEquations of lines, parallel and perpendicular lines, distances, areas and linear models
- CirclesMidpoints, circle equations, intersections, tangents and triangles
- Algebraic methodsAlgebraic fractions, polynomial division, factor theorem and proof
- Binomial expansionPascal’s triangle, factorials, coefficients and approximations
- Trigonometric ratiosCosine and sine rules, triangle areas, bearings and trigonometric graphs
- Trigonometric identities and equationsUnit circle, exact values, identities, solution intervals and quadratic trig equations
- VectorsArithmetic, magnitude, direction, position vectors, geometry, velocity and forces
- DifferentiationFirst principles, power rule, tangents, derivative graphs, stationary points, rates and optimisation
- IntegrationPower rule, constants, definite integrals, area under and between curves
- Exponentials and logarithmsExponential graphs, growth and decay, log laws, natural logarithms, equations and logarithmic models