A level Further Maths: Discrete, Decision and Modelling with AlgorithmsOnline Self-paced study
This is a group of On Demand Professional Development (ODPD) pods designed to support teachers who will be offering the Discrete, Decision or Modelling with Algorithms content of AS or A level Further Mathematics.
The course will comprise a series of 'pods', forming the building blocks of each of the main specifications for this course component. When complete, this will provide teachers with professional development covering all common aspects of the Discrete, Decision or Modelling with Algorithms courses.
In each pod, teachers will experience a variety of content including:
- short videos explaining the ideas behind the topic
- practice materials
- triggers for reflection and suggestions for further study.
Teachers will be encouraged to interact and collaborate with others studying the same material via the online forums. An expert tutor will be monitoring the forums and will respond to queries.
The course offers total flexibility; teachers can access the materials, day or night, over a period of up to one year. Teachers will be able to track their progress within the course and to see when they have completed a section or a pod.
- To introduce teachers to a range of techniques which will enable them to work more confidently with topics in the Discrete, Decision or Modelling with Algorithms component of AS or A level Further Maths.
- To provide opportunities to reflect on methods, resources and teaching ideas and to discuss these with other teachers via the course forums.
Who will benefit from attending?
All teachers involved in the delivery of the Discrete, Decision or Modelling with Algorithms component of AS or A level Further Maths.
Access is available based on the specification you are offering. For Edexcel, if you prefer, you may choose to access all the topics on offer. This table shows which topics are relevant to which specification.
|Topic/Specification||AQA Discrete||Edexcel Decision||MEI Modelling with algorithms||OCR Discrete||Approximate time to complete*|
|AS||A level||AS D1||A level D1||AS D2||A level D2||AS||A level|
|Mathematical preliminaries||||||||||||||||||||Up to 1 hour|
|Further mathematical preliminaries||||||||||||||||||||Up to 1 hour|
|Graph theory||||||||||||||||||||Up to 1 hour|
|Further graph theory||||||||||||||||||||Up to 1 hour|
|Floyd's Algorithm||||||||||||||||||||Up to 1 hour|
|Critical path analysis||||||||||||||||||||Up to 1 hour|
|Linear programming||||||||||||||||||||Up to 1 hour
(1.5 hours for OCR)
|Further linear programming||||||||||||||||||||Up to 0.5 hours|
|Simplex algorithm||||||||||||||||||||Up to 1 hour|
|Further simplex algorithm||||||||||||||||||||Up to 0.5 hours|
|Allocation||||||||||||||||||||Up to 1 hour|
|Network flow||||||||||||||||||||Up to 1 hour
(1.5 hours for Edexcel)
|Game theory||||||||||||||||||||Up to 2 hours|
|Recurrence relations||||||||||||||||||||Up to 1 hour|
|Further recurrence relations||||||||||||||||||||Up to 0.5 hours|
|Decision analysis||||||||||||||||||||Up to 1 hour|
|Binary operations||||||||||||||||||||Up to 1 hour|
|Group theory||||||||||||||||||||Up to 1.5 hours|
|Dynamic programming||||||||||||||||||||Up to 1 hour|
*Timings are approximate and suggest the required time for a topic to be counted on a certificate of participation. Further resources are linked from each section and so participants may, if they wish, spend more time than this in consolidating and reflecting on the content. You do not need to complete all sections to request a certificate.
Materials and Equipment
Internet connection with capability to watch video. You may find access to graphing software such as GeoGebra or Desmos is also useful.
On application, you will be asked to select which qualification and specification is most relevant to you to gain tailored access to the system.
Due to the way we are funded, this project is only available to teachers currently working in a state-funded school or college in England.
ODPD is free of charge for qualifying teachers.
A level Further Mathematics
On Demand Professional Development
If you have any queries about this event, please do not hesitate to contact:
The AMSP, through MEI, holds the NCETM CPD Standard