Mathematics
Mathematics
Year 7
Year 7 covers the following topics:
Number: 4 main operations, negative numbers, types of numbers (e.g. factors and multiples), order of operations, adding, subtracting and multiplying fractions, equivalence of percentages, fractions and decimals and recurring decimals
Algebra: coordinates in all four quadrants, collecting like terms; multiply a single term over a bracket, substitute positive integers into linear expressions and formulae, construct and solve simple linear equations (unknown on only one side)
Ratio, proportion and rates of change: scale drawing
Geometry and measures: construction (straight lines and simple triangles), area of triangle, rectangle, parallelogram and compound shapes, angles (at a point, on a straight line in a triangle, vertically opposite), classify triangles and quadrilaterals by their geometrical properties and 2D representations of 3D objects
Probability: experimental and theoretical probabilities in simple contexts and if the probability of an event occurring is p then the probability of it not occurring is 1 – p
Statistics: frequency tables for discrete data, piecharts, stem and leaf diagrams and averages from rawraw data
Year 8
Year 8 covers the following topics:
Number: use index laws for multiplication and division of integer powers, significant figures, trial and improvement method and dividing fractions
Algebra: construct and solve linear equations (unknown on either or both sides), change the subject of a formula (in simple cases), substitute positive and negative integers into formulae, nth term of an arithmetic sequence, termtoterm and positiontoterm rules, midpoint of a line segment, straightline graphs parallel to the x or yaxis, conversion graphs, distance–time graph
Ratio, proportion and rates of change: percentage increase or decrease, decimal multipliers, divide a quantity in a given ratio, unitary method for direct proportion, rates of change in everyday contexts (e.g. km per hour, pence per metre), compound measures in reallife contexts (value for money) and convert one metric unit to another
Geometry and measures: angles in parallel lines, interior and exterior angles of regular polygons, area of a trapezium and a circle, 4 main transformations ( including enlargements with a positive scale factor), congruent shapes, nets of 3D shapes, plans and elevations, volumes and surface areas of cuboids and of right prisms
Statistics: frequency tables for continuous data and twoway tables, mean from frequency tables and scatter graphs
Year 9
Year 9 covers the following topics:
Number: negative and fractional powers, upper and lower bounds, compound interest, reverse percentages and standard form
Algebra: straight line graphs, double brackets, factorising, simultaneous equations, inequalities and function notation
Geometry and measures: Pythagoras' theorem, construct triangles given RHS, SAS, ASA & SSS (S = side, A = angle, R = right angle, H = hypotenuse), loci, trigonometry, enlargement with fractional and negative scale factors and higher order graphs (quadratic, cubic, reciprocal and square root)
Statistics: cumulative frequency and boxplot
Year 10
Fractions 
Mensuration  Area of Composite shapes, Arc length, Sector Area, Volume and Surface area of prisms. 
Rational and Irrational Numbers 
Indices 
Expressions  Expanding Brackets (linear quadratic and Cubic), Factorising (linear and quadratic including nonmonic quadratics) 
Probability  Tree diagrams (revision),Mutually exclusive events, Independent events, Conditional probability, Venn Diagrams 
Equations  Linear equations (revision), Using linear equations to model and solve real life situations 
Changing the subject  powers, roots and problems involving factorisation 
Sampling  Random, stratified and systematic 
Percentages  Percentage change using decimal multiplier, Compound interest, Reverse percentages 
Averages Mean mode and median from frequency table, Mean and mode from grouped frequency table, Time series (New GCSE) 
Pythagoras  2D Pythagoras,3D Pythagoras, 3D coordinates

Sequences  Linear/Arithmetic sequences, Quadratic sequences, Geometric sequences 
Straight Line Graphs  y=mx+c , Gradients of perpendicular lines

Simultaneous Equations  Both algebraic and graphical method for linear simultaneous equations 
Similarity  Congruent shapes – four cases for triangles, Similar 2D shapes, emphasis on similar triangles, Relationship between sides, areas and volumes of similar 3D shapes 
Quadratic Equations  Solution by factorising, Graphical solution , ax2+bx+c=0 and intersection with straight lines, Model and solve real life problems 
Proportion  Direct proportion, Inverse proportion 
Statistical Graphs  Histograms – including finding median 
Trigonometry  Right angled trig (revision), Angles of depression & elevation (bearing), Sine and cosine rule, Area of triangle 
Year 11
Circle Theorems  Tangentradius. Tangents to circle equal length. Perp from centre to chord bisects, Centre angle double circumference, Angle in semicircle. Same segment, Cyclic quadrilateral, Alternate segment. 
Estimation and Accuracy  Estimating results to 1 significant figure, Upper and lower bounds. 
Vectors  Column vectors, Geometric vectors, Addition and subtraction, Equality of vectors, Proof 
Inequalities – linear and Quadratic 
Volume and Surface Area – Pyramids, cones and spheres. 
Algebraic Fractions  Simplifying – quadratic numerators and denominators. LCM of quadratic expressions and use in addition and subtraction of fractions. 
Exponential Functions – growth and decay 
Iteration 
Quadratic Equations – Completing the square, Factorising, Formulae 
Functions – Composite and Inverse 
Simultaneous Equations – Linear and Quadratic, Graph 
Equation of Circle 
Non Rightangled Trigonometry – exact values 
Graph Transformations 
3D shapes – Plans and Elevations 
Transformations 
Congruence and Proof 
Higher Order Graphs  Graphs of reciprocal, cubic, Estimate gradients of graphs, including rates of change. Area under the graph. 
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