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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 AS and A2 levels. Mathematics at KS5 in Loxford is driven by dedication, passion and enthusiasm.
Our Alevel Mathematics team boasts one of the highest numbers of AA* grades at ALevel 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 AS and ALevel. 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 elearning 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
Y12 Applied Overview Calendar 2021  2022  Y12 FM Core P Overview Calendar 2021  2022 
Y12 Pure Overview Calendar 2021  2022  Y12 FM Decision Overview Calendar 2021  2022 
Y13 Applied Overview Calendar 2021  2022  Y13 FM Core P Overview Calendar 2021  2022 
Y13 FM Statistics Calendar 2021  2022  Y13 Pure Overview Calendar 2021  2022 
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 Alevel Mathematics and Alevel 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. 
ALevel Mathematics:
Papers  Assessment
(2 year course) 
Percentage  Content Overview  

ALevel 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 
ALevel Further Mathematics:
Papers  Assessment
(2 year course) 
Percentage  Content Overview  

ALevel 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 Coordinates 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 ALevel 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 ALevel. Students find ALevel 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 2021
Congratulations to all A Level students
Mathematics 88% A*  C
Further Mathematics 88% A*  C
Best of luck in your future pursuits and well done on all the hard work
A Level Results 2020
Congratulations to all A Level students
Mathematics 96% A*  D
Further Mathematics 88% A*  D
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
 Pearsons textbooks for Year 1 and year 2 Mathematics https://activeteachonline.com