# Curriculum: A'Level

## A'Level Mathematics

Throughout Year 12, skills gained from the GCSE will be revisited and extended before applying them to the new content. When students move into Year 13 they will take their new knowledge, extending this further and applying it.

To see the specification in full and how this will be assessed please visit the AQA website here.

Year 12 Year 13
Pure
• Surds and Indices
• Equations and Inequalities
• Polynomials
• Graphs
• Coordinate Geometry
• Differentiation
• Integration
• Binomial Expansion
• Exponentials and Logarithms
• Vectors
• Proof
Pure
• Proof
• Further Algebra
• Sequences and Series
• Functions
• Trigonometry
• Trigonometric Identities
• Differentiation
• Integration
• Differential Equations
• Parametric Equations
• Numerical Methods
Statistics
• Data Collection
• Data Processing and Interpretation
• Probability
• Binomial Distribution
• Hypothesis Testing
Statistics
• Conditional Probability
• Discrete Random Variables
• Normal Distribution
• Hypothesis Testing
• Bivariate Data
Mechanics
• Kinematics
• Forces and Newton's Laws of Motion
• Variable Acceleration
Mechanics
• Kinematics in Two Dimensions
• Forces and Motion in Two Dimensions
• Moments of Forces
• Projectiles
• Friction

## A'Level Further maths

A'Level Further Maths will build on the skills, knowledge and understanding already gained through the GCSE and A'Level Mathematics.

Students must take A'Level Mathematics in order to take Further Maths.

To see the specification in full and how this will be assessed please visit the AQA website here.

Year 12 Year 13
Pure
• Matrices and Transformations
• Complex Numbers and Loci of Complex Numbers
• Roots of Polynomials
• Conics
• Hyperbolic Functions
• Sequences and Series
• Proof by Induction
• Volumes of Revolution
• Polar Coordinates
• Rational Functions and Further Algebra
• Vectors and 3D Space
Pure
• Vectors
• Matrices
• Conics
• Series and Induction
• Further Algebra and graphs
• Further Calculus
• Polar Coordinates
• Series and Limits
• Hyperbolic Functions
• Further Integration
• First Order Differential Equations
• Numerical Methods
• Complex Numbers
• Second Order Differential Equations
Mechanics
• Work, Energy and Power
• Impulse and Momentum
• Circular motion
• Hooke’s Law
• Dimensional Analysis
Mechanics
• Work Energy and Power
• Impulse and Momentum
• Circular Motion with Variable Speed
• Moments of Forces
• Centre of Mass
Discrete
• Graphs
• Networks
• Linear Programming
• Critical Path Analysis
• Network Flows
• Binary Operations
Discrete
• Graphs
• Networks
• Linear Programing
• Critical Path Analysis
• Network Flows
• Game Theory
• Group Theory

# Mathematics

## August 2022

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