# Mathematics and Further Mathematics A Level at Ermysted's Grammar School

## Course description

Mathematics is a very popular A-Level subject, with around two-thirds of students choosing Mathematics as one of their options in the Sixth Form at Ermysted’s.

The A-Level is a big step up from GCSE and will require commitment and dedication. With consistent effort and regular practice good grades are obtainable at A-Level by all students.

## Course content

The course is the new standard A-Level Mathematics course consisting of Pure Mathematics and Applied (both Mechanics and Statistics). A-Level Further Mathematics involves Further Pure Mathematics and two Further Mathematics Options. Students choosing Further Mathematics must do so in addition to Mathematics, and will sit two A-Levels (in Mathematics and Further Mathematics). Details of the course content can be found below in the summary of content assessed within each exam paper, or in detail within the specification online at the website above.

## Entry requirements

Applicants for Mathematics will require at least a Grade 7 in GCSE Mathematics.

Applicants for Further Mathematics will require at least a Grade 8 in GCSE Mathematics.

If you do not achieve this grade then you will need to convince the Faculty Leader or equivalent teacher of your suitability for the course.

The Pearson Edexcel Level 3 Advanced GCE in Mathematics consists of three externally examined papers, each 2 hours in length and equally weighted.

Students must complete all assessment in May/June at the end of Year 13.

## Assessment

**Paper 1:** Pure Mathematics 1 : Proof, Algebra and functions, Coordinate geometry in the (x,y) plane, Sequences and series, Trigonometry, Exponentials and logarithms, Differentiation, Integration, Vectors.

**Paper 2:** Pure Mathematics 2: Proof, Algebra and functions, Coordinate geometry in the (x,y) plane, Sequences and series, Trigonometry, Differentiation, Integration, Numerical methods

**Paper 3:** Statistics and Mechanics:

- Statistics Statistical sampling, Data presentation and interpretation, Probability, Statistical distributions, Statistical hypothesis testing
- Quantities and units in mechanics, Kinematics, Forces and Newton’s laws, Moments

The Pearson Edexcel Level 3 Advanced GCE in Further Mathematics consists of four externally examined papers, each 1.5 hours in length and equally weighted. Students must complete all assessment in May/June at the end of Year 13.

**Paper 1:** Further Pure Mathematics 1 Proof, Complex numbers, Matrices, Further algebra and functions, Further calculus, Further vectors

**Paper 2:** Further Pure Mathematics 2 Complex numbers, Further algebra and functions, Further calculus, Polar coordinates, Hyperbolic functions, Differential equations

**Paper 3 & 4:** Further Mathematics Options (2 of the 8 options below will be taught) Further Pure Mathematics 3 – Further calculus, Further differential equations, Coordinate systems, Further vectors, Further numerical methods, Inequalities;
Further Pure Mathematics 4 – Groups, Further calculus, Further matrix algebra, Further complex numbers, Number theory, Further sequences and series; Further Mechanics 1 – Momentum and impulse, Collisions, Centres of mass, Work and energy, Elastic strings and
springs; Further Mechanics 2 – Further kinematics, Further dynamics, Motion in a circle, Statics of rigid bodies, Elastic collisions in two dimensions; Further Statistics 1 – Linear regression, Statistical distributions (discrete), Statistical distributions
(continuous), Correlation, Hypothesis testing, Chi squared tests; Further Statistics 2 – Probability distributions, Combinations of random variables, Estimation,; Confidence intervals and tests using a normal distribution, Other hypothesis tests and confidence
intervals, Other hypothesis tests and confidence intervals, Probability generating functions, Quality of tests and estimators; Decision Mathematics 1 – Algorithms and graph theory, Algorithms on graphs, Algorithms on graphs II, Critical path analysis, Linear
programming; Decision Mathematics 2 – Transportation problems, Allocation (assignment) problems, Flows in networks, Dynamic

## Future opportunities

Mathematicians like to have definite answers. Sometimes that answer is unique (as in “What is x if 2x=6?”). Sometimes there are no answers (e.g. “What real number satisfies x2=-1?”). Other times there are more than one answer (as in “What is x if x2=4?”). The question “Why should you study mathematics at A-level?” certainly has more than one answer!

Indeed, one of the many reasons to study mathematics at A-level is that there is a multitude of options open to you afterwards. For example, careers in science, engineering, computing, medicine and finance all rely on mathematics. The main reason to study mathematics should be that you enjoy it. Some people enjoy the problem solving aspect, others like the fact that questions have definite and absolute answers, while for many others it’s their best/favourite subject.

## How to apply

If you want to apply for this course, you will need to contact Ermysted's Grammar School directly.