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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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