DEPARTMENT - Mathematics. Coding: N Number. A Algebra. G&M Geometry and Measure. S Statistics. P - Probability. R&P Ratio and Proportion

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1 DEPARTMENT - Mathematics Coding: N Number A Algebra G&M Geometry and Measure S Statistics P - Probability R&P Ratio and Proportion YEAR 7 YEAR 8 N1 Integers A 1 Simplifying G&M1 2D Shapes N2 Decimals S1 Averages N3 Fractions A2 Substitute and Solve G&M2 Area and perimeter S2 Graphs A3 Coordinates and graphs N4 Percentages N5 Factors, multiples, primes and powers G&M3 Constructions and transformations A4 Sequences G&M4 Angle facts P1 Probability N6 Units of Measure G&M5 3D Shapes N1 Calculations and rounding R&P1 Ratio A1 Simplifying G&M1 Area, perimeter, volume R&P2 Scales G&M2 Angle facts N2 Improper fractions S1 Graphs and averages A2 Substitute and solve R&P3 Proportion G&M3 Shape N3 Percentages A3 Graphs G&M4 Constructions P1 Probability

2 N4 Highest Common Factors and Lowest Common Multiples R&P4 Compound units YEAR 9 N1 Basic Number N2 Factors and multiples G&M1 Angles G&M2 Scale diagrams and bearings A1 Basic algebra N3 Basic fractions N4 Basic decimals A2 Coordinates and linear graphs N5 Rounding S1 Collecting and representing data A3 Sequences N6 Basic percentages G&M3 Perimeter and area A4 Real life graphs G&M 4 Circumference and area R&P1 Ratio and proportion A5 Equations P1 Basic Probability S2 Scatter Graphs N7 Standard Form G&M5 Transformations Y9 Higher Y9 Foundation N1 Basic number N2 Factors and multiples G&M1 Angles G&M2 Scale diagrams and bearings A1 Basic algebra N3 Basic fractions N4 Basic decimals A2 Coordinates and linear graphs N5 Rounding S1 Collecting and representing data A3 Sequences N6 Basic percentages G&M3 Introduction to perimeter and area G&M4 Introductions to circumference and area R&P1 Ratio and proportion

3 P1 Basic probability A4 Equations S2 Scatter graphs G&M5 Transformations YEAR 10 Y10 Higher G&M6 Constructions and loci G&M7 2D representation of 3D shapes N8 Calculations with percentages G&M8 Measures N9 Surds S3 Statistical measures N10 Indices G&M9 Properties of polygons N11 Number recap and review G&M10 Congruency and similarity G&M11 Pythagoras theorem and basic trigonometry A6 Simultaneous equations P2 Probability S4 Statistics review and recap A7 Quadratics and rearranging formulae G&M12 Volume A8 Algebra recap and review A9 Sketching graphs A10 Linear and quadratic equations and their graphs G&M13 G&M recap and review A11 Further quadratics, rearranging formulae and identities G&M14 Trigonometry recap and extension Y10 Foundation Maths curriculum G&M6 Pythagoras theorem G&M7 2D representation of 3D shapes N7 Standard form N8 Calculating wth percentages G&M8 Measures S3 Statistical measures N9 Indices G&M9 Constructions and loci A5 Algebra recap and extension G&M10 Congruency and similarity G&M11 Introduction to trigonometry G&M12 Further perimeter and area A6 Graphs recap and extension G&M13 Further circumference and area

4 A7 Simultaneous equations G&M14 Properties of polygons A8 Real life graphs P1 Review of basic probability P2 Probability G&M15 Volume YEAR 11 Y11 Higher R&P2 Growth and decay A12 Equations of a circle A13 Further graphs and equations R&P3 Direct and inverse proportion A14 Inequalities G&M15 Vectors A15 Further sketching graphs G&M16 Sine and cosine rules A16 Transforming functions A17 Numerical methods G&M17 Circle theorems R&P4 Gradients and rates of change A18 Pre-calculus and area under the curve A19 Algebraic fractions Y11 Foundation A9 Quadratics, rearranging formulae and identities A10 Inequalities A11 Algebra and graphs A12 Sketching graphs R&P2 Direct and inverse proportion G&M16 Trigonometry A13 Solving quadratic equations A14 Quadratic graphs R&P3 Growth ad decay G&M17 Vectors

5 YEAR 12 Core 1 Surds Coordinate geometry of straight lines Quadratics and their graphs Polynomials Factors, remainders and cubic graphs Simultaneous equations and quadratic inequalities Coordinate geometry of circles Introduction to differentiation: gradients of curves Applications of differentiation: tangents, normal and rates of change Maximum and minimum points and optimisation problems Integration Core 2 Indices Further differentiation Further integration and the trapezium rule Basic trigonometry Simple transformation of graphs Solving trigonometrical equations Factorials and binomial expansions Sequences and series Radian measure Further trigonometry with radians Exponentials and logarithms Geometris series Mechanics 1 Mathematical modelling Kinematics in one and two dimensions Statics and forces Momentum Newton s laws of motion Connected particles Projectiles Further Pure 1 Algebra and graphs Complex numbers Roots and coefficients of a quadratic equation Series Calculus Numerical methods Trigonometry Matrices and transformations Decision 1 Minimum connectors Shortest path problem (Dijkstra s algorithm) Chinese postman problem Travelling salesman problem Graph theory Matchings Sorting algorithms Algorithms

6 Linear programming Critical path analysis Allocation Dynamic programming Network flows Linear programming Game theory for zero sum games Mathematical modelling Decision 2 YEAR 13 Core 3 Functions Transformations of graphs and the modulus function Inverse trigonometric functions and secant, cosecant and cotangent The number e and calculus Further differentiation and the chain rule Differentiation using the product rule and quotient rule Numerical solutions of equations and iterative methods Integration by inspection and substitution Integration by parts and standard integrals Volume of revolution and numerical integration Core 4 Binomial series expansion Rational functions and division of polynomials Partial fractions and applications Implicit differentiation and applications Parametric equations for curves and differentiation Further trigonometry with integration Exponential growth and decay Differential equations Vector equations of lines Numerical measures Probability Binomial distribution The normal distribution Confidence intervals Correlation Regression Statistics 1 Further Pure 2 Roots of polynomials Complex numbers DeMoivre s theorem Proof by induction Finite series The calculus of inverse trigonometric functions Hyperbolic functions

7 Arc length and area of surface of revolutions about the x-axis Further Pure 4 Vectors and 3D coordinate geometry Matrix algebra Solutions of linear equations Determinants Linear independence Mechanics 2 Mathematical modelling Moments and centres of mass Kinematics Newton s laws of motion Application of differential equations Uniform circular motion Work and energy Vertical circular motion