AS Mathematics pure content Pure Mathematics Unit Title Estimated hours Algebra and functions a Algebraic expressions basic algebraic manipulation, indices and surds 4 – b Quadratic functions factorising, solving, graphs and the discriminants 4 – c Equations quadratic/linear simultaneous 4 – d Inequalities linear and quadratic (including graphical solutions) 5 – e Graphs cubic, quartic and reciprocal 5 – f Transformations transforming graphs f(x) notation 5 – – 2 Coordinate geometry in the (x, plane y) a Straight-line graphs, parallel/perpendicular, length and area problems 6 b Circles equation of a circle, geometric problems on a grid 7 – 3 Further algebra a Algebraic division, factor theorem and proof 8 b The binomial expansion 7 4 Trigonometry a Trigonometric ratios and graphs 6 b Trigonometric identities and equations 10 5 Vectors (2D) a Definitions, magnitude/direction, addition and scalar multiplication 7 b Position vectors, distance between two points, geometric problems 7 6 Differentiation a Definition, differentiating polynomials, second derivatives 6 b Gradients, tangents, normals, maxima and minima 6 7 Integration a Definition as opposite of differentiation, indefinite integrals of 6 xn b Definite integrals and under curves 5 8 Exponential functions and natural Exponentials and logarithms: 12 logarithms 120 hours AS Mathematics applied content
AS Mathematics pure content Pure Mathematics Unit Title Estimated hours Algebra and functions a Algebraic expressions – basic algebraic manipulation, indices and surds 4 b Quadratic functions – factorising, solving, graphs and the discriminants 4 c Equations – quadratic/linear simultaneous 4 d Inequalities – linear and quadratic (including graphical solutions) 5 e Graphs – cubic, quartic and reciprocal 5 f Transformations – transforming graphs – f(x) notation 5 2 Coordinate geometry in the (x, y) plane a Straight-line graphs, parallel/perpendicular, length and area problems 6 b Circles – equation of a circle, geometric problems on a grid 7 3 Further algebra a Algebraic division, factor theorem and proof 8 b The binomial expansion 7 4 Trigonometry a Trigonometric ratios and graphs 6 b Trigonometric identities and equations 10 5 Vectors (2D) a Definitions, magnitude/direction, addition and scalar multiplication 7 b Position vectors, distance between two points, geometric problems 7 6 Differentiation a Definition, differentiating polynomials, second derivatives 6 b Gradients, tangents, normals, maxima and minima 6 7 Integration a Definition as opposite of differentiation, indefinite integrals of xn 6 b Definite integrals and under curves 5 8 Exponentials and logarithms: Exponential functions and natural logarithms 12 120 hours AS Mathematics applied content
A_level_Maths_2_years_SoW.docx