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Mathematics

Mathematics is the tool and language of commerce, engineering and other sciences – physics, computing, biology etc. It helps us recognise patterns and to understand the world around us. Mathematics plays a vital, often unseen, role in many aspects of modern life.

At Loxford, Mathematics is one of the most popular subjects chosen by students at A2 level. Mathematics at KS5 in Loxford is driven by dedication, passion and enthusiasm.
Our A-level Mathematics team boasts one of the highest numbers of A-A* grades at A-Level in the school. We also achieve excellent results in Further Mathematics.

A Brief Description of the Course:

This course aims to develop the ability to apply mathematical skills and techniques in other subjects and to lay foundations for the further study of mathematics and other disciplines. Pure Mathematics is learnt through Core Mathematics modules and Further Pure Mathematics modules at A-Level. This extends knowledge of algebra and trigonometry and introduces new ideas such as calculus. Students also study applications of mathematics and will choose between mechanics, statistics and decision. Mechanics is the study of the motion of objects and the forces acting upon them. In the Statistics, they learn how to analyse data and draw conclusions from it using probability and other concepts. Decision is the study of algorithms, critical path analysis and the introduction to optimisation.

What do students need to know before taking this course?

You need to have achieved grade 7 or above in your GCSE Mathematics exam to enrol into this course. You need to enjoy the rigorous and challenging nature of mathematics.
For Further Mathematics you need to have achieved grade 7 or above in GCSE Mathematics. You will need a real passion for mathematics together with a strong intuitive grasp of mathematical concepts.

What support is offered?

Distance learning materials are available to complement what has been learnt in lessons through our e-learning platform, including Google classroom and the Loxford student drive. There are past papers, exam style questions and other useful resources available for students to help them with their learning.

What you will learn

Year 12/13 Overview Calendar


Year 12 Mathematics and Further Mathematics:

Students sit for a Mock examination at the end of Year 12, they are not entered for AS examination. This is a linear course and students will take A-level Mathematics and A-level Further Mathematics examinations at the end of year 13.

  Papers for Mock Assessment Percentage Content Overview
Year 12 Mathematics Paper 1: Pure Mathematics 1 2 hours written examination (100 marks) 66.66% Topic 1 – Proof

Topic 2 – Algebra and functions

Topic 3 – Coordinate geometry in the (x, y) plane

Topic 4 – Sequences and series

Topic 5 – Trigonometry

Topic 6 – Exponentials and logarithms

Topic 7 – Differentiation

Topic 8 – Integration

Topic 9 – Vectors
Paper 2: Statistics and Mechanics 1 hour  written examination (50 marks) 33.33%
 

 

 Papers  

Assessment

 Percentage Content Overview
Year 12 Further Mathematics Paper 1: Further Pure Mathematics 1 1 hour 30 minutes written examination (75 marks) 50% Proof

Complex numbers

Matrices

Further algebra and functions

Further calculus

Further  vectors
Paper 2: Further Mathematics options 1hour 30 minutes  written examination (75 marks) 50% Students take one of the following options:

2B: Further Statistics – Linear regression, Statistical distributions (discrete), Statistical distributions (continuous), Correlation, Hypothesis testing, Chi squared tests
2C: Further Mechanics – Momentum and impulse, Collisions, Centres of mass, Work and energy, Elastic strings and springs
2D: Decision Mathematics 1 – Algorithms, graphs and networks, Algorithms on graphs, Route inspection, Travelling salesman problem, Linear programming, Simplex Algorithm and critical path analysis.

 

A-Level Mathematics:

  Papers Assessment

(2 year course)

 Percentage Content Overview
A-Level Mathematics Paper 1: Pure Mathematics 1 2 hours written examination (100 marks) 33.33% Topic 1 – Proof

Topic 2 – Algebra and functions

Topic 3 – Coordinate geometry in the (x, y) plane

Topic 4 – Sequences and series

Topic 5 – Trigonometry

Topic 6 – Exponentials and logarithms

Topic 7 – Differentiation

Topic 8 – Integration

Topic 9 – Numerical methods

Topic 10 – Vectors
Paper 2: Pure Mathematics 2 2 hours written examination (100 marks) 33.33%
Paper 3: Statistics and Mechanics 2 hours examination

(100 marks)

 33.33% Section A: Statistics

Topic 1 – Statistical sampling

Topic 2 – Data presentation and interpretation

Topic 3 – Probability

Topic 4 – Statistical distributions

Topic 5 – Statistical hypothesis testing
Section B: Mechanics

Topic 6 – Quantities and units in mechanics

Topic 7 – Kinematics

Topic 9 – Forces and Newton’s laws

Topic 9 – Moments

 

 A-Level Further Mathematics:

  Papers Assessment

(2 year course)

 Percentage Content Overview
A-Level Further Mathematics Compulsory  Pure 1 1 hour 30 minute written examination (75 marks) 25% Topic 1 – Proof

Topic 2 – Complex Numbers

Topic 3 – Matrices

Topic 4 – Further Algebra and Functions

Topic 5 – Further Calculus

Topic 6 – Further Vectors

Topic 7 – Polar Co-ordinates

Topic 8 – Hyperbolic Functions

Topic 9 – Differential Equations

 
Compulsory Pure 2 1 hour 30 minute written examination (75 marks) 25%
Paper 3 :

Optional unit 1

 1 hour 30 minute written examination (75 marks) 25% 2 optional units, each with a separate examination from :

Further Pure 3

Further Pure 4

Mechanics 1

Mechanics 2

Statistics 1

Statistics 2

Decision 1

Decision 2
Paper 4:

Optional unit 2

 1 hour 30 minute written examination (75 marks) 25%

 

How is the course examined?

Students follow a linear structure, in which students will take three papers at the end of their studies at the end of year 13. (Two core papers and an applied paper combining Statistics and Mechanics).

Why choose Further Maths?

If you are likely to achieve a high grade 7 or grade 8 in your GCSE Maths and you enjoy Maths you should seriously consider studying A-Level Further Mathematics.

The course attracts very able mathematicians who thoroughly enjoy the subject and are keen to extend their understanding of Maths. Many students taking this course go off to university to study Maths or a Mathematics related degree and have found the work covered on the course of great benefit

Why you should consider this course:

Why choose Mathematics at Loxford?

Having successfully completed your GCSE course in mathematics at grade 7 or above, you are now in a position to tackle Mathematics at a more advanced level. This is a highly regarded and enjoyable A-Level. Students find A-Level Maths a much more stimulating and rewarding course.

Here at Loxford we are very proud of our maths students’ outstanding record of achievement over many years. We can guarantee that every student will receive first class tuition using a variety of teaching strategies. This coupled with our excellent support program makes Loxford an excellent place to study Mathematics.

A Level Results 2023

Congratulations to the Year 13 students on achieving

 

80% grades A* - C Mathematics

100% grades A* - C Further Mathematics

 

Best of luck in your future pursuits and well done on all the hard work

A Level Results 2022

Congratulations to all A Level students

Mathematics 75% A* - C

Further Mathematics 100% A* - C

Best of luck in your future pursuits and well done on all the hard work

Future Career:

Where does this course lead?

Maths can lead to a myriad of courses in both further and higher education. Obvious careers may include accountancy, banking, engineering, medicine, computing and scientific statistical research. However, there are many other diverse areas where mathematical skills are recognised as invaluable and essential.

Useful Links:

Links to useful websites :

Revision guides - Links to sites or name of text books