Cambridge International A Level Mathematics - Further (9231)
This course develops and extends a set of transferable skills. These include the skill of working with mathematical information, as well as the ability to think logically and independently, consider accuracy, model situations mathematically, analyse results and reflect on findings.
*Course available from September 2020, for first exams in June 2022.
This course is available as a single year course only. Consequently Pamoja does not currently offer Further Mathematics at AS Level.
The course covers the following topics:
- Mechanics 1 – including projectile motion, moments, equilibrium, centre of mass, circular motion
- Matrices and Vectors
- Calculus – including hyperbolic and inverse trigonometric functions, second derivatives, differential equations, and applications
- Complex numbers – de Moivre’s theorem
- Statistics 1 – including discrete and continuous random variables, statistical distributions, sampling and hypothesis testing
- Statistics 2 – including expectation and variance, goodness of fit and non-parametric tests
- Series & sequences
- Proof by induction
- Polynomials (cubic and quartic)
- Polar coordinates
- Mechanics 2 – including Hooke’s Law, work, momentum, Newton’s Laws
In each year there is also time for revision and trial examinations.
Activities and assessments
The course includes the following activities: readings and practice questions on each topic, quizzes, self-assessments and marked assignments. Teachers will review and grade assignments during the course. There are also unit discussions to support students with each topic.
The final examination consists of four externally-assessed papers:
- Paper 1—2 hours, 30% AL, structured questions on Further Pure Mathematics 1
- Paper 2—2 hours, 30% AL, structured questions on Further Pure Mathematics 2
- Paper 3—1 hour 30 minutes, 20% AL, structured questions on Further Mechanics
- Paper 4—1 hour 30 minutes, 20% AL, structured questions on Further Probability and Statistics
Advice from our teachers
This course is twice the pace of a standard two-year A Level course. In order to succeed in International A Level Further Mathematics in a single year, we recommend students set aside twenty to thirty hours a week to study. It is important that students regularly keep up with the readings and the course activities in a timely manner. And that they contact their Pamoja teacher if they fall behind or need help with assignments.
Hodder Education eTextbook
This course is dependent on student etextbooks provided by Hodder Education and hosted on the Dynamic Learning platform. Please ensure you check the Hodder Dynamic Learning guidance to ensure your systems are able to access this service. This service is provided as part of the Pamoja course fee - find out more.
Benefits for students
Taking International AS and A Level Mathematics – Further will enable students to:
become experienced in a wide range of technical and social tools
develop skills like time management, communication and digital literacy
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