The Maths department follows the Edexcel A2 Level curriculum at Key Stage 5. Students can be entered for AS Level exams in the summer of the year 12 and we hope all students continue to complere the A2 Level exams in the summer of year 13. The course is split between Pure and Applied Mathematics Year 12 Pure Mathematics ● Algebraic Expressions – expanding brackets, factorising expressions, laws of indices and surds ● Quadratic functions – solve quadratic functions, sketch graphs, use the discriminant ● Equations and Inequalities – solve linear and simultaneous equations, solve linear and quadratic inequalities ● Graphs and Transformations – sketch curves, understand and recognise functions, understand the effect of different transformations on graphs ● Straight Line Graphs – equation of straight lines, parallel and perpendicular lines, coordinate geometry in the 2D plane ● Circles – midpoint of line segment, equation of circles, chords and tangets ● Algebraic methods – algebraic long division, use the factor theorem, factorise cubic expressions, use proof ● The Binomial Expansion – use and understand the binomial expansion ● Trigonometric Ratios – use sine and cosine rules, find the area of a triangle, solve problems in 2D and 3D ● Trigonometric Identities – use identities to solve trigonometric equations ● Vectors – use vectors in 2 dimensions, calculate the magnitude of a vector, understand and visualise position vectors, calculate the distance between two points using position vectors ● Differentiation – understand derivatives as the gradient of the tangent of a curve, differentiation from first principles, find the equation of tangents and normals, understandthe second derivative. ● Integration – evaluate definite integrals and understand the integral to be the area under a curve ● Exponentials and Logs – graphs and functions, laws of logs, solve equations using logs and exponentials, ● Algebraic Methods – simplify rational expressions, decompress into partial fractions, Year 12 Applied Mathematics ● Data Collection – populations and samples, sampling techniques, critique different sampling methods ● Measures of Spread – mean median and mode, calculate standard deviation, variance and interpercentile range, understand and use coding ● Representation of data – recognise outliers, draw and interpret cumulative frequency diagrams, box plots and histograms ● Correlation – interpret scatter diagrams, regression lines for bivariate data,make predictions using regression lines, ● Probability – understand and use language and symbols associated with set theory, draw and interpret Venn diagrams, mutually exclusive and independent events, draw and calculate using Tree diagrams ● Distributions – discrete and uniform distributions, calculate probabilities using binomial distribution ● Hypothesis Testing – 1 tail test, 2 tail test, critical value, critical region, p value and acceptance of regions ● Modelling Mechanics – understand common assumptions used to model mechanics, vector and scalar quantities ● Constant Acceleration – understand graphs of kinematics (displacement against time, velocity against time and interpret gradients and area under the graph ● Forces and Motion – draw force diagrams, resultant forces using vectors, Newton’s Laws ● Understand weight and motion in a straight line under gravity, equilibrium of forces, application for problems involving pulleys and connected particles ● Variable Acceleration – understand displacement, velocity and acceleration as a function of time. ● Use calculus to determine the rates of change for kinematic problems ● Use calculus to solve problems involving maxima and minima ● Use integration for kinematic problems ● Radians – convert between degrees and radians, know exact values of angles measured in radians, work with radian measure for arc length and sectors of circles,