Subject Intent

Course Overview:

This course is available to students with exceptional mathematical ability who are considering taking Mathematics beyond A Level. Anyone willing to study Further Mathematics must also be studying A Level Mathematics. The Pure element will be taken further and you will delve deeper into the applied aspect of the subject. Students taking Chemistry, Biology or Psychology may have a greater desire to study Statistics further, whereas Physics students may prefer to take mechanics a step further as part of the optional modules.

Course Structure: 
The Further Maths course is made up of Further Pure content and then two applied modules (options include Statistics / Mechanics / Decision).  

  • Further Pure – students will study proof, complex numbers, matrices, further algebra and functions, further calculus, polar coordinates, hyperbolic functions & differential equations.
  • Statistics – builds on content taught in Maths A Level, but includes exploration of more distributions for different types of data (eg Chi-squared distribution)
  • Decision – looks at the mathematics behind decision making processes, with a strong link to historical content of Computer Science

Although we would normally select Decision Mathematics and Statistics, the Further Mathematics options can be considered and tailored to suit the cohort each year. Each applied module is of equal weighting and counts for 25% of the overall A Level, with Further Pure accounting for 50%.

Progression Opportunities:

Higher education courses or careers that either require A Level Mathematics or are strongly related include: Economics, Medicine, Architecture, Engineering, Environmental Studies, Information Science, Surveying, Teaching, Mathematics, Accountancy, Financial Services, Psychology, Computing, Information Communications Technology, Statistics, Systems Analysis, Systems Modelling.


 

Staffing

Mrs. S Heald  -  Head of Mathematics    

s.heald@derbycathedralschool.org.uk

Mrs. J Brown  -  Head Teacher of DCS and Teacher of Mathematics 

j.brown@derbycathedralschool.org.uk


 

Homework and Assessment

Students are expected to complete 1 hour of homework per teacher per week. We follow the Pearson Edexcel textbook. Homework assignments can range from an exercise from their textbook, an independent assignment via Integral or a reading task. At the end of each chapter students will be given a formative end of unit assessment.

Exam

Method

Time / Weighting

Further Pure 1

Written

1.5 hours / 25%

Further Pure 2

Written

1.5 hours / 25%

Decision and Statistics

Written

1.5 hours / 25% each


 

Independent Study and Revision

A Level Further Maths is an incredibly intense course, often with very little time to put into practise the new content that has been learnt. Therefore, the cast majority of your independent study will be to complete exercises set from the textbook, as an absolute minimum. Revision will often be past exam practise, with a mixture of legacy spec and new spec papers.


 

Subject Enrichment

Each year students are expected to take part in the Senior Mathematical Challenge, aimed at Y12 and Y13. Students are awarded gold / silver / bronze / participation based on national average scores. The award is highly regarded on students’ UCAS applications. Via the Endeavour Program, students are able to take a weekly slot in Y7-10 maths lessons supporting teachers with less able students to increase their confidence in numeracy. We also offer many opportunities aimed specifically for female maths students in order to help boost the national shortage of women in STEM.


 

Super-Curricular and Literacy

•    TED Talk: Math is the hidden secret to understanding the world by Roger Antonsen
•    Humble Pi: A comedy of maths errors by Matt Parker
•    Seventeen Equations that Changed the World by Professor Ian Stewart
•    Fermat’s Last Theorem – Simon Singh
•    The Music of Primes – Marcus Du Sautoy