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    • Mathematics

    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.

    Key Stage 3

    You can find out more about our Key Stage 3 Mathematics curriculum via the following links:

    Key Stage 4

    You can find out more about our Key Stage 4 Mathematics curriculum via the following links:

    Key Stage 5

     

      Year 12 Year 13

    Autumn

    Algebraic Expressions

    • indices, surds and rationalising the denominator

    Quadratics

    • solving, modelling and the discriminant

    Equations and Inequalities

    • simultaneous equations, quadratic equations and inequalities

    Graphs and Transformations

    • cubics, quartics and reciprocal graphs

    Polynomials

    • algebraic fractions and factor theorem

    Coordinate Geometry

    • equations of straight-line graphs, equation of a circle, tangent and chord properties

    Trigonometry

    • trigonometric identities and solving trigonometric equations

    Vectors

    • solving geometric problems & modelling with vectors

    Data Collection

    • sampling techniques, types of data and the large data set

    Kinematics

    • SUVAT equations, displacement-time graphs and velocity-time graphs

    Functions

    • modulus function, composite and inverse functions

    Trigonometry

    • double-angle formulae, solving trigonometric equations and proving trigonometric identities

    Trigonometric Functions

    • reciprocal and inverse trigonometric functions

    Differentiation

    • differentiation of trigonometric functions and exponentials, the chain, product and quotient rules, and rates of change

    Vectors

    • solving geometric problems and modelling with vectors

    Further Kinematics

    • vectors in kinematics, vector methods with projectiles, variable acceleration, differentiating and integrating vectors

    Projectile Motion

    • horizontal and vertical components, projection at any angle and projectile motion formulae

    Probability

    • set notation, conditional probability, Venn diagrams, probability formulae and tree diagrams

    Spring

    Differentiation

    • differentiating polynomials, finding tangents and normals, stationary points and sketching gradient graphs.

    The Binomial Expansion

    • the Binomial expansion

    Data Processing, Presentation and Interpretation

    • median, IQR, mean and standard deviation

    Hypothesis Testing

    • Binomial hypothesis testing

    Forces and Newton’s Laws of Motion

    • force diagrams, forces as vectors, F=ma, connected particles and pulleys

    Further Differentiation

    • implicit and parametric differentiation

    Integration

    • integration methods and trapezium rule

    Normal Distribution

    • finding probabilities, inverse normal, standard normal, mean and variance, approximating a Binomial distribution, and hypothesis testing

    Force and Motion

    • static particles, modelling with statics, friction and static particles, static rigid bodies, dynamics and inclined planes, connected particles

    Friction

    • resolving forces and friction on inclined planes

    Summer

    Integration

    • indefinite and definite integrals, area under curves and area between curves and lines

    Exponentials and Logarithms

    • exponential modelling, laws of logs and solving equations using logarithms

    Variable Acceleration

    • applying differentiation and integration, maxima and minima problems and constant acceleration formulae

    Sequences and Series

    • Arithmetic and Geometric sequences, recurrence relations and sigma notation

    Radians

    • small angle approximations and radian measure

    Proof

    • proof by deduction, counter example, exhaustion and contradiction

    Numerical Methods

    • iteration, Newton-Raphson, and applications to modelling

    Differential Equations

    • solving differential equations and modelling with differential equations

    Hypothesis Testing

    • testing exponential models, measuring correlation and hypothesis testing using the Normal distribution

    Moments

    • resultant moments, equilibrium, and centres of mass and tilting

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