# Mathematics

## Key Stage 3

We believe everyone can succeed in Mathematics through perseverance, enjoyment and developing resilience in the face of challenge. Through our curriculum, we aim to nurture confident mathematical communicators. We teach the National Curriculum and provide challenge through developing problem- solving skills, supporting students independent thinking and promoting mathematical reasoning.

 Year 7 Year 8 Year 9 Autumn Analysing and Displaying Data - collecting and analysing their own data, averages, types of data, statistical diagrams & grouped data.  Directed Numbers - Calculation with directed numbers including reinforcement of BIDMAS.  Fractions -  conversions, calculations & simplifying.  Decimals – rounding, calculating & converting.  Number Skills – factors, primes, negatives & powers. Sequences – looking at a range of different sequences Linear Graphs- Equation of a straight line. Finding the equation of parallel and perpendicular lines.   Algebra with Indices – solving linear equations, factorising, simplifying & evaluating. Interpreting and representing data – Stem and Leaf, Time Series, Scatter graphs & lines of best fit.  Number –  fractional & negative indices. & using surds.   Algebra – algebraic indices, solving a range of linear equations & factorising quadratics.  Fractions, Ratios and Percentages -  repeated percentage change & compound interest. Spring Equations, functions, formulae developing the use of symbols in formulae & expressions.  Equations – solving linear equations. Angles and Shapes the properties of quadrilaterals & polygons.  Multiplicative Reasoning – using ratio & proportion. 2D shapes and 3D solids circumference & area of circles & surface area, volume of prisms & cylinders. & introducing pythagoras’.  Probability – independent & mutually exclusive events.   Real Life Graphs –proportion & distance-time graphs. Angles and Trigonometry -pythagoras’ & trigonometry.   Graphs – linear, quadratic, cubic & reciprocal graphs & the equation of a circle. Summer Sequences –arithmetic & geometric sequences.  Polygons – angles in polygons.  Perimeter, Area and Volume – areas of triangles, quadrilaterals & compound shapes, calculating perimeter, volume & capacity. Probability – concept of chance & calculating the probability of an event. Transformations –rotations, reflections, translation & enlargements. Constructions and Loci- bisectors & loci.  Collecting and displaying data – developing data collection skills. Area and Volume –prisms, cylinders, sectors, spheres, pyramids & cones.  Transformations and Constructions – Combinations of transformations. Applications of constructions & loci.  Sequences- quadratic sequences.

## Key Stage 4

We believe everyone can succeed in Mathematics through perseverance, enjoyment and developing resilience in the face of challenge. Through our curriculum, we aim to nurture confident mathematical communicators. We enter students for the Edexcel GCSE at Higher level and provide challenge through developing problem-solving skills, supporting students independent thinking and promoting mathematical reasoning.

 Year 10 Year 11 Autumn Probability – combined events, independent events and tree diagrams, venn diagrams & set notation. Multiplicative Reasoning – growth and decay, compound measures, ratio direct & inverse proportion. Equations and Inequalities – quadratic equations, completing the square & simultaneous equations. Circle Theorems – angles in circles, applying circle theorems & circle theorem proofs. Vectors and Geometric Proof – vector arithmetic, parallel vectors & solving geometric problems. More Algebra- rearranging formulae, algebraic fractions, surds & function. Spring Similarity and Congruence – congruence, geometric proof, similarity including in 3D solids. Further Trigonometry – Trigonometrical graphs, area of non-right- angled triangles, sine & cosine rule. Inequalities – representing inequalities graphically. Proportion and Graphs – Direct and Inverse proportion, exponential functions, non-linear graphs & transforming graphs of functions. Summer Further Statistics – sampling, histograms, box plots, cumulative frequency & comparing populations. Equations and Graphs – Solving quadratics and cubics graphically and solving simultaneous equations graphically.

## Key Stage 5

We believe everyone can succeed in Mathematics through perseverance, enjoyment and developing resilience in the face of challenge. Through our curriculum, we aim to nurture confident mathematical communicators. We teach the Edexcel A level and provide challenge through developing problem-solving skills, supporting students independent thinking and promoting mathematical reasoning.

 Year 12 Year 13 Autumn Algebraic Expressions- indices, surds & rationalising. Quadratics - solving, modelling & roots. Equations and Inequalities- simultaneous equations, quadratic & inequalities. Graphs and Transformations – cubics, quartics and reciprocal graphs. Revision of straight line graphs including tangents & normals. Algebraic Methods – factor theorem, proof & algebraic fractions. Binomial Expansion Solving problems in non-right-angled triangles. Solving Trigonometric Equations Data Collection - sampling, types of data & large data set. Measures of Location and Spread -median, IQR, mean & standard deviation. Correlation - correlation & regression. Probability - Venn diagrams & probability trees Modelling - Assumptions, units & vectors Constant acceleration - displacement time graphs, velocity time graphs, suvat, motion under gravity Forces and motion - Force diagrams, Forces as vectors, F=ma, Connected particles & pulleys. Functions and Graphs - modulus function, composite & inverse functions. Trigonometric Functions- secant, cosecant & cotangent. Trigonometry and Modelling- double angle formulae, solving trig equations & proving trig identities. Parametric Equations - curve sketching and modelling with parametric equations. Differentiation- differentiation of trig functions and exponentials, the chain, product and quotient rules, rates of change & implicit & parametric differentiation. Forces and Friction Continued -resolving forces & inclined planes, friction. Moments - resultant moments, equilibrium, ¢res of mass & tilting Normal Distribution - finding probabilities, inverse normal, standard normal, mean and variance, approximating a binomial & hypothesis testing. Spring Differentiation- differentiating polynomials, finding tangents and normals, stationary points & sketching gradient graphs. Integration – indefinite and definite integrals, area under curves and area between curves & lines. Vectors- solving geometric problems & modelling with vectors. Circles- equation of a circle, tangent and chord properties. Statistical Distributions- probability distributions &  binomial distribution Hypothesis Testing - binomial hypothesis testing. Variable acceleration - applying differentiation and integration, maxima and minima problems & constant acceleration formulae. Integration – integration methods, trapezium rule, solving differential equations & modelling with differential equations. Numerical Methods – iteration, Newton-Raphson, & applications to modelling. Projectiles – horizontal and vertical components, projection at any angle & projectile motion formulae. Applications of Forces – static particles, modelling with statics, friction and static particles, static rigid bodies, dynamics & inclined planes, connected particles. Regression/ Correlation/ Hypothesis -  testing-exponential models, measuring correlation & hypothesis testing. Conditional Probability - set notation, conditional probability, Venn diagrams, probability formula & tree diagrams. Summer Exponentials and logarithms – exponential modelling, laws of logs & solving equations using logarithms. Algebraic Methods – proof by contradiction & partial fractions. Binomial Expansion - expanding, approximating & using partial fractions. Vectors in 3D - solving 3D geometric problems& applying vectors to mechanics. Sequences and Series - Arithmetic and Geometric sequences, recurrence relations & sigma notation. Normal Distribution - finding probabilities, inverse normal & standard normal. Forces and Friction – Resolving forces, inclined planes & limiting friction. Further Kinematics – vectors in kinematics, vector methods with projectiles, variable acceleration, differentiating & integrating vectors