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Advanced Level Foundation
Maths module

Overview

The Kings Advanced Level Foundation is based on A-level syllabuses, taught by A-level teachers, assessed against A-levels and moderated by an independent Advisory Board of external examiners. As such, it is one of the most highly academic and successful pathways to leading UK universities.

Maths is an elective module within the Foundation, and is ideal for students who are interested in studying Maths, or a subject which requires prior study of it, at university in the UK.

Key Facts

Start Dates:

  • 8 April 2024 (Extended programme only)
  • 1 July 2024 (Extended programme only)
  • 9 September 2024
  • 6 January 2025

Colleges:

  • Bournemouth
  • Brighton
  • London
  • Oxford

Entry level:

  • Academic: Completed 11-12 years of schooling
  • English: IELTS 5.5 or equivalent

Minimum age:

  • 16.5

Length:

  • 1 Academic Year (3 terms)
  • Extended programme: 1-2 Academic Years (4-7 terms)

Lessons:

  • Average 21 hours per week (plus homework and private study)

Learning outcomes

  • A general understanding of mathematics and mathematical processes.
  • The ability to reason logically and to generalise. 
  • An extended range of mathematical skills and techniques, and the ability to use them in increasingly difficult or unstructured problems. 
  • An understanding of coherence and progression in mathematics. 
  • The ability to recognise how a situation may be modelled mathematically. 
  • The capacity to use mathematics as an effective means of communication. 
  • The ability to read and comprehend mathematical arguments and narrative concerning applications of mathematics. 
  • Knowledge of how to use calculating aids effectively and be aware of their limitations.

Course content and structure

The Advanced Level Foundation programme is highly flexible, and able to adapt to the needs and academic aspirations of each student. It does this through a combination of core modules and a series of elective modules which can be combined in different ways to create main subject streams.

Maths is one of the many elective modules offered, and an overview of the syllabus content is shown below.

Course structure and content

Term 1

  • Basic algebra and quadratic functions 
  • Equations and inequalities 
  • Coordinate geometry 
  • Curve sketching 
  • Binomial theorem     
  • More algebra and functions (dividing a polynomial by x ± p; Factor and Remainder Theorems)
  • Graphs of trigonometric functions 
  • Trigonometric identities and equations 
  • Vectors 

Term 2

  • Differentiation 1 
  • Integration 1 
  • Exponential and logarithmic functions 
  • Algebraic functions and partial fractions 
  • Sequences and series 
  • Radian measure 

Term 3

  • Trigonometry 
  • Further trigonometric identities 
  • Differentiation 2 
  • Integration 2 
  • Mechanics in term 3 (modelling vector and scalar quantities; SI units; limitations of modelling
  • Constant acceleration 
  • Forces and motion 
  • Variable acceleration 
  • Moments 
  • Forces and friction 
  • Application of forces

Sample subject combinations with Maths

  • Maths, Chemistry, Biology
  • Maths, Physics, Chemistry
  • Maths, Art and Design, Business

Sample enrichment activities

  • Bletchley Park visit 
  • The Big Bang fair, NEC Birmingham 
  • UK Maths Challenge 
  • Astronomy Club
  • Science in the News Club 

Recommended reading

Below is a list of text books normally used on this course, as well as books which may help you prepare for your studies prior to arrival. In many cases the textbooks will be supplied by the school, and you may borrow them for the duration of your time at school. However, if you already know what three subjects you want to choose you may prefer to purchase one before you arrive.

  • Edexcel AS and A level Mathematics Pure Mathematics Year 1/AS Textbook + e-book 
  • Edexcel AS and A level Mathematics Statistics & Mechanics Year 1/AS Textbook + e-book 
  • Edexcel A level Mathematics Pure Mathematics Year 2 Textbook + e-book 
  • Edexcel A level Mathematics Statistics & Mechanics Year 2 Textbook + e-book 
  • GCSE Maths Edexcel Revision Guide:  Foundation - for the Grade 9-1 Course 
  • GCSE Maths AQA Revision Guide: Foundation - for the Grade 9-1 Course 

Sample academic calendar (2023-2024)

Year 1

September

  • 11th: term starts
  • Student induction

October

  • 23 – 27th: half term
  • Progress tests

November

  • University fairs and talks

December

  • 15th: term ends
  • End of term exams

January

  • 8th: term starts

February

  • 15th – 16th: half term
  • Progress tests
  • University fairs

March

  • End of term exams
  • 22nd: term ends

April

  • 8th: term starts

May

  • Progress tests

June

  • Exams
  • 14th: term ends

Progression

Recent alumni

Below are some of the recent students who took the Maths module, including information about the university they progressed to and the degree course they are doing.

Ademike Olufunmilayo Abimbola

  • Mathematics/Geography/Physics/CSS/Data
  • University of Leeds 
  • Geological Science 

Thibault Fievez

  • Mathematics/Chemistry/Physics/CSS/Data
  • University of Bath
  • Civil Engineering 

Nina Hasebe

  • Mathematics/Physics/Government and Law/CSS/Data
  • King’s College London
  • Robotics and Intelligent Systems 

Kristina Urosova

  • Mathematics/Economics/Government and Politics/CSS/Data
  • King’s College London
  • Computer Science 

Khemika Klomsuwan

  • Chemistry/Biology/Mathematics/Data/CSS
  • University of Birmingham 
  • Biological Sciences 

Baoqiao Liao

  • Mathematics/Business/Economics/CSS/Data 
  • Lancaster University
  • Marketing 

Ana Sofia da Silva Ferraz

  • Mathematics/Business/Art & Design/CSS/Data
  • Oxford Brookes University
  • Architecture 
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