Maths A-level
edexcel curriculum
topic by Topic explainers + question sets
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maths a-level > topic by topic explainers + question sets >
Pure year 1 (releasing now - completing this month) >
1. Algebraic expressions
index laws, expanding brackets, factorising, negative and fractional indices, surds, rationalising denominators
2. quadratics
solving quadratic equations, completing the square, functions, quadratic graphs, the discriminant, modelling with quadratics
3. equations and inequalities
linear simultaneous equations, quadratic simultaneous equations, simultaneous equations on graphs, linear inequalities, quadratic inequalities, inequalities on graphs, regions
4. graphs and transformations
cubic graphs, quartic graphs, reciprocal graphs, points of intersection, translating graphs, stretching graphs, transforming functions
5. Straight line graphs
y = mx + C, equations of straight lines, parallel and perpendicular lines, length and area, modelling with straight lines
6. circles
midpoints and perpendicular bisectors, equation of a circle, intersections of straight lines and circles, use tangent and chord properties, circles and triangles
7. algebraic methods
algebraic fractions, dividing polynomials, the factor theorem, mathematical proof, methods of proof
8. the binomial expansion
pascal’s triangle, factorial notation, the binomial expansion, solving binomial problems, binomial estimation
9. trigonometric ratios
the cosine rule, the sine rule, areas of triangles, solving triangle problems, graphs of sine / cosine / tangent, transforming trigonometric graphs
10. trigonometric identities and equations
angles in all four quadrants, exact values of trigonometric ratios, trigonometric identities, simple trigonometric identities, harder trigonometric equations, equations and identities
11. vectors
Vectors, representing vectors, magnitude and direction, position vectors, solving geometric problems, modelling with vectors
12. differentiation
gradients of curves, finding the derivative, differentiating x to the n, differentiating quadratics, differentiating functions with two or more terms, gradients / tangents / normal, increasing and decreasing functions, second order derivatives, stationary points, sketching gradient functions, modelling with differentiation
13. Integration
integrating x to the n, indefinite integrals, finding functions, definite integrals, areas under curves, areas under the x-axis, areas between curves and lines
14. exponentials and logarithms
exponential functions, y = e to the x, exponential modelling, logarithms, laws of logarithms, solving equations using logarithms, working with natural logarithms, logarithms and non-linear data
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applied year 2
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question bank by topic
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