A Level Mathematics
“For the things of this world cannot be made known without knowledge of mathematics.” – Roger Bacon
Alevel Mathematics is a prestigious subject that is highly regarded by the majority of Universities as it enables students to establish a wide range of skills. Students can use this ALevel to progress further into a range of professions including Teaching, Engineering, Accounting and Finance, Economics and Medicine.
Here at BTC, we encourage our AS and A2Level students to reinforce their mathematical skills by comprehending mathematical problems and processes and developing their understanding of these concepts in a confident way. We also enable them to recognise how different situations are represented mathematically.
We recognise that Mathematics is a challenging Alevel and in view of this we enable our students to appreciate a range of mathematical techniques that are used to solve difficult, unstructured problems.
The following modules are assessed at ASLevel:
Module  Exemplar Content  Exemplar Questions  Expectations: 
Core Maths 1 
Surds Coordinate geometry of straight lines and circles Quadratic functions Polynomials Simultaneous equations Differentiation and Integration 
· Find the coordinates of the points on the curve y= X^{3} 9x + 5 where the gradient is equal to 3 · Given that f’(x) = (x1)^{2 }and f(0) = 2. Find f(x) 
Students should be able to: ·Expand brackets ·Solve linear equations ·Understand and comprehend Pythagoras’ Theorem ·Appreciate and use Trigonometry as a tool in problem solving 
Core Maths 2 
Indices Further Differentiation Further integration and the Trapezium rule Exponentials and logarithms Geometric Series Factorials and binomial expansions Simple transformation of graphs

· Describe the geometrical transformation that maps the graph of y=1 – x^{5} onto the graph of y=1 + X^{5}  ·Students are expected to have a sound understanding of C1. 
Statistics 1 
Numerical Measures Probability Binomial Distribution Confidence Intervals Correlation Regression 
· Calculate the product moment correlation coefficient between x & y S_{xx}=2.41 S_{yy}=3.56 S_{xy}=1.87

· Students are expected to know a wide range of mathematical formulae. 
The following modules are assessed at A2Level:
Module  Content  Exemplar Questions  
Core Maths 3 
Functions – Transformations of graphs and the modulus function Inverse trigonometric functions and secant, cosecant and cotangent The number e and calculus Further differentiation Volume of revolution and numerical integration 
· Describe geometrically how the curve y=8^{x + 1 }can be transformed into the curve y = 2^{x} by a sequence of transformations  · Students are expected to have a sound understanding C1 and C2. 
Core Maths 4 
Binomial series expansion Rational functions and division of polynomials Partial fractions and applications Parametric equations Further trigonometry with integration Exponential growth and decay Differential Equations Vector equations of lines 
· Find the distance between the points (5, 3, 7) and (2,2,6)  · Students are expected to have a sound understanding C1, C2 and C3. 
Mechanics 1 
Mathematical models in mechanics Vectors and their application in mechanics Kinematics of a particle Statics of a particle Dynamics of a particle of moving in a straight line or plane Moments 
· A cable raising a load with an acceleration of 1.5 m s ^{2 }has a tension of 15kN. Find the mass of the load  · Students are expected to have a sound understanding of C1. 