A Level Course - Mathematics

Mathematics

Welcome to the Mathematics page.

Below you will find information on the course with a link to the Course Curriculum.

To view the Course Curriculum, please click here

 

Year 12

Our scheme of learning ensures that students cover both Pure and Applied Maths in parallel.  In Applied Maths, students cover statistics and mechanics in parallel too.  Year 12 structure of learning builds on GCSE and introduces some key new mathematical ideas.  In Pure, students start with some of the most important topics briefly looked at in GCSE course (quadratic equations and functions) which crop up throughout the course in Year 12 and Year 13.  Very early on, new concepts are introduced (use of the discriminant) to make the course both interesting and challenging.  We assume strong knowledge of the whole GCSE course and aim to finish the content of Year 12 mathematics several weeks before the end of the academic year.  This approach allows us to start Year 13 content in the last term of Year 12, allowing significant amount of time for revision and practice before the final A Level exams.  This also sends the message out to students that A Level Maths will push them and that they need to work hard. 

Autumn

Pure Maths:

Straight line graphs
Circles
Binomial expansion
Algebraic expressions
Trig ratios and graphs
Various graphs

Applied Maths:

Interpreting and representing data 
Measures of location and spread. 
Large data set 
Kinematics
Probability

Spring

Pure Maths:

Trig identities and equations
Vectors
Gradients, tangents, normals, max and min
Indefinite integration

Applied Maths:

Binomial distribution
Interpreting and representing data
Hypothesis testing
Newton’s laws of motion
Variable acceleration with calculus

Summer

Pure Maths:

Exponential and Logs
Applied: Use of integration for kinematics problems

Start Year 13:

Pure:

Trigonometric Functions
Differentiation
Integration
Functions

 

Year 13

Year 13 Pure Scheme of Learning deepens students’ understanding of calculus and its applications and allows them to apply it in different contexts throughout the year.  The way our scheme of work has been structured, to cover as much calculus as possible at the end of Year 12, allows Further Maths students to access all the further Maths topics right from September.  Similarly, to Year 12, we aim to finish the course several weeks before the end of the academic year to practise as many as possible hard exam type questions before the end of the year. 

Autumn

Pure Maths:

Differentiation and integration intertwined
Radians
Further trig
Sequences and series

Applied Maths:

Regression and correlation
Moments
Probability
Resolving forces
Friction
Projectiles

Spring

Pure Maths:

Implicit differentiation
Integration by parts and substitution
Vectors
Trapezium rule
Numerical methods
Binomial expansion
Parametric equations

Applied Maths:

Normal distribution
Equilibrium and static of a particle
Hypothesis testing for mean of normal distribution
Dynamics of a particle

Summer

Pure Maths:

Rates of change
Differential equations

Applied Maths:

Kinematics
Variable acceleration