Further Mathematics
Lead(s): Mr Golding & Mrs Dassanayake
Email: mgoulding4.310@parkhighstanmore.org.uk (Head of Department)
adassanayake.310@parkhighstanmore.org.uk
Subject overview
Students will study the Pearson Edexcel Level 3 Advanced GCE in Further Mathematics.
It is split into two components, 2 compulsory units and 2 optional units, further details of which are below.
Assessments are designed to reward students for demonstrating the ability to provide responses that draw together different areas of their knowledge, skills and understanding from across the full course.
Mathematical problem solving, argument, modelling language and proof are the overarching themes which should be applied along with associated mathematical thinking and understanding, across the whole of the detailed content. These overarching themes are inherent throughout the content and students are required to develop skills in working scientifically over the course of these qualifications.
“The mathematics department provide a wide range of difficult questions such as STEP which helps to understand the topics in more depth.” - Student
Exam Board: : Edexcel
Course Specification: 9FM0
Qualification obtained: Pearson Edexcel Level 3 Advanced GCE in Mathematics
Entry requirements:
Students must achieve at least six 9-4 grades including English Language and Mathematics at GCSE.
Grade 8 in Mathematics
What you will study
Year 12
Topics covered:
The normal A-Level Mathematics course is covered in its entirety in year 12 (see Mathematics page for further details)
Year 13
Topics covered:
Compulsory
Core Pure 1:
· Complex Numbers
· Argand Diagrams
· Series
· Roots of Polynomials
· Volumes of Revolution
· Matrices
· Linear Transformations
· Proof by Induction
Core Pure 2:
· Complex Numbers
· Series
· Methods in Calculus
· Volumes of Revolution
· Polar Coordinates
· Hyperbolic Functions
· Methods in Differential Equations
Optional Further
Pure 1:
· Vectors
· Conic Sections 1
· Conic Sections 2
· Inequalities
· The t-formulae
· Taylor Series
· Methods in Calculus
· Numerical Methods
· Reducible Differential Equations
Further Statistics 1:
· Discrete Random Variables
· Poisson Distributions
· Geometric and Negative Binomial Distributions
· Hypothesis Testing
· Central Limit Theorem
· Chi-squared Tests
· Probability Generating Functions
· Quality of Tests
Assessment
Assessment percentage:
100% Exam
| Unit Code | Unit Title | Assessment | Weight |
| 01 | Core Pure Mathematics 1 | Written Examination: 80 marks, 1.5hr | 25% |
| 02 | Core Pure Mathematics 2 | Written Examination: 80 marks, 1.5hr | 25% |
| 3A | Further Mathematics Option 1 | Written Examination: 80 marks, 1.5hr | 25% |
| 4A | Further Mathematics Option 1 | Written Examination: 80 marks, 1.5hr | 25% |
Progression routes
A-Level Mathematics allows students to develop various skills such as problem-solving, analysing data, the ability to think logically and using and interpreting graphs. Mathematics can open many doors in terms of future opportunities and is a sought-after subject by many employers. As such, students can progress from this qualification into any further studies in Mathematics or a Mathematics-related subject such as Statistics, Physics, Engineering, Computer science, Economics, or Accounting and Finance.
Additional Information
Course specific equipment:
FX-991EX advanced scientific calculator
FX-CG50 graphic calculator
Essential Reading Material:
Edexcel AS and A level Further Mathematics Core Pure Mathematics Book 1/AS Textbook ISBN: 978-1292183336
Edexcel A level Further Mathematics Core Pure Mathematics Book 2 Textbook ISBN: 978-1292183343
Edexcel AS and A level Further Mathematics Further Statistics 1 ISBN: 978-1292183374
Edexcel AS and A level Further Mathematics Further Pure 1 ISBN: 978-1292183350
Recommended resources:
https://undergroundmathematics.org/
https://www.stem.org.uk/alevel-maths
http://www.thechalkface.net/resources/alevel/
http://furthermaths.org.uk/alevel_resources
https://mrbartonmaths.com/students/a-level/
https://www.legendsoflearning.com
Enrichment:
Exploring Mathematics at Royal Holloway University - no cost
Mathematics in Action: informative, engaging, and interactive sessions, designed to complement the mathematics curriculum and inspire the students - costs approximately £23.50 UKMT
Senior Challenge