 # 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 Number Skills – factors, primes, negatives Equations, functions, formulae- developing the use of symbols in formulae and expressions Fractions – conversions, calculations, simplifying Algebra with Indices Constructions and Loci- bisectors and loci 2D shapes and 3D solids- circumference and area of circles and surface area and volume of prisms and cylinders. Introducing Pythagoras’ Probability –independent and mutually exclusive events Interpreting and representing data – Stem and Leaf, Time Series, Scatter graphs and lines of best fit. Number –fractional and negative indices. Using surds. Algebra – algebraic indices, solving a range of linear equations and factorising quadratics Fractions, Ratios and Percentages - repeated percentage change, compound interest Spring Decimals – rounding, calculating, converting Equations and straight line graphs – solving linear equations Angles and Shapes – the properties of quadrilaterals and polygons Multiplicative Reasoning – using ratio and proportion Linear Graphs- Equation of a straight line. Finding the equation of parallel and perpendicular lines. Transformations –rotations, reflections, translation and enlargements Sequences – linear and geometric sequences Angles and Trigonometry - Pythagoras’ and trigonometry Graphs – linear, quadratic, cubic and reciprocal graphs. The equation of a circle Sequences- quadratic sequences Summer Sequences –arithmetic and geometric sequences Perimeter, Area and Volume – areas of triangles, quadrilaterals and compound shapes, calculating perimeter, volume and capacity Probability –concept of chance and calculating the probability of an event Scale drawing – practical work on drawing to suitable scales Real Life Graphs –proportion, distance-time graphs Scale Drawings and Measures – Bearings, scales and ratio. Identifying congruent and similar shapes Collecting and displaying data – developing data collection Area and Volume – prisms, cylinders, sectors, spheres, pyramids and cones. Transformations and Constructions – Combinations of transformations. Applications of constructions and loci

## 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 and set notation Multiplicative Reasoning – Growth and decay, compound measures, ratio direct and 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 and function Spring Similarity and Congruence – congruence, geometric proof, similarity including in 3D solids Further Trigonometry – Trigonometrical graphs, area of non-right- angled triangles, sine and 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 and comparing populations Equations and Graphs – Solving quadratics and cubics graphically. 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 and roots. Equations and Inequalities- simultaneous equations, quadratic inequalities. Graphs and Transformations – cubics, quartics and reciprocal graphs. Revision of straight line graphs including tangents and 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 and inverse functions. Trigonometric Functions- secant, cosecant and cotangent Trigonometry and modelling- double angle formulae, solving trig equations and 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 and parametric differentiation Forces and Friction continued -resolving forces, inclined planes, friction Moments -resultant moments, equilibrium, centres 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 and lines. Vectors- solving geometric problems and 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 and 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 and solving equations using logarithms. Algebraic Methods – proof by contradiction, partial fractions. Binomial Expansion- expanding, approximating and using partial fractions Vectors in 3D- solving 3D geometric problems and applying vectors to mechanics Sequences and Series- Arithmetic and Geometric sequences, recurrence relations and 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 and integrating vectors