Mathematics and Further Mathematics A-level

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If you are planning on a career or university course in the areas of Maths, Physics, Engineering or Computer Science – or if you just really love learning maths – then the Maths and Further Maths two A-level package might be for you. This means you will study the “normal A-level in Mathematics” followed by a specialist “Further Maths A-level” aimed at bridging the gap to careers and university courses with very large maths content. This A-level contains a lot of maths that most other students will never even need to think about, but forms an essential part of higher study. If you are looking at STEM courses at the most selective Russell Group Universities then this may even be required as part of your offer, or just a highly desirable subject to support your application.

What will I study in Mathematics and Further Mathematics A-level?

If you select Maths and Further Maths as two of your four choices then you will get double the number of Maths lessons. As a result, we finish learning the 2-year A-Level Mathematics course by the end of the first year! For a breakdown of what is in the maths A-Level course please see the Maths A-Level page.

In Further Maths you will then go on to study:

Core Mathematics – Complex Numbers, Matrices, Vectors, Induction, Volumes of Revolution, Hyperbolics, Improper Integrals, Polar Coordinates – the list goes on!

Further Mechanics – Collisions and conservation of energy. Contains everything you would need to model a game of Pool and work out all the complicated successive collisions.

Further Stats – Further Probability, understanding appropriateness of statistics used. Ever wondered how people argue their data fits a given distribution? There is an actual mathematical test you can use rather than resorting to drawing points on a graph and saying “close enough”!

Entry Requirements

At least five GCSEs at Grade 4 or above all from the core subjects including Grade 7 in Maths.

The course is really designed for grade 8 mathematicians, so if you miss out on your grade 8 in Maths you might have some catch up to do in the first few weeks to master any bits you weren't confident at. The pace of the course is quite fast as there is so much maths we need to cover.

How will I learn?

The cycle of learning for Maths is something you are probably familiar with:

  • Introduction of new material – this will involve demonstration of new methods and explanation of new ideas.
  • Supported practice time in lessons – as Maths is quite an active subject you do need to actually try it. Sometimes this even involves getting it wrong first. There is always time in lessons to practice new methods until you can follow them correctly and your friends and teacher will be there to help.
  • Extra practice at home – regular homework assignments to practice and develop what is learnt in class. These homework assignments have video solutions to help you if you get stuck. We believe that all students should be able to complete the homework with the support available.
  • Guided test preparation – we provide practice tests for all of our assessments to help you prepare for tests. It is not uncommon to find some of the new ideas and methods you meet tricky at first. We believe that tests should not be a surprise and students should have time to prepare as they would for the final exams.
  • Tests – Maths tests are an unescapable part of mathematics. To succeed at A-Level Maths you not only need to have a good knowledge of the material you have learnt but also have developed an effective exam strategy to ensure you get the mark you deserve.

How will I be assessed?

At the end of the second year you will have all of your maths exams for the two A-Levels. There are no exams sat in the first year. There are quite a few exams so we make sure we are finished with plenty of time to spare for revision.

A-Level Maths = 2 two hour exams on Pure and 1 two hour on Stats & Mechanics

A-Level Further Maths = 2 ninety minute Core exams, 1 ninety minute Further Stats, 1 ninety minute Further Mechanics

Throughout the course you will have 2x weekly mini tests (~10 mins) to make sure you have fully understood the work covered in the weekly homework assignments. There will be 2x half termly monitoring tests covering 3-4 chapters (~60 mins) and a full mock exam for each A level in Feb of year 2.

 

Any trips?

In previous years we have run trips to local universities to see Maths and STEM lectures in person. Most of our students plan to go onto university or to an apprenticeship with some elements of further study. Most of the Further Maths students are aiming for further study on STEM courses at uni so this does provide good insight into this progression route.

Are there any costs involved?

For A-Level Mathematics you will need the following:

  • A Cassio CLASSWIZ fx-991CW (or the newer fx-991EX) calculator. This is a scientific calculator with some extended features you will not need for GCSE but do need for A-Level. This can be bought through College or independently for £23-£25.
  • Basic stationery like pens/rulers/highlighters but nothing specialist like compass/protractor
  • Paper for rough work – lined or square is ideal
  • You may wish to purchase your own version of the formula book which you will have access to in the exam. This is available from College for 40p.

We will provide:

  • An A4 exercise book for making and retaining neat notes on the material covered in class. It is quite important to have a reference at hand for work covered in previous lessons or whilst revising for tests.
  • Loan of textbooks from the College library and online access to the textbooks on devices like laptops and tablets.
  • The vast majority of our resources are available online and printing them is not necessary.

Device Requirements

Cirencester College is offering ‘Bring Your Own Device’ guidelines, in order to encourage digital literacy and make the most of how digital devices can support learning in the classroom and independent study. Please find below some specific guidance for this subject but do be aware that each subject will have its own guidance.

Maths: In this subject, students can get by without anything more than a smartphone. There will be essential communication via Teams and email as well as resources to access from the internet. Pen and paper is most student's default way of working but many students write on a tablet and email homework to their teacher. Other resources like the textbook can be borrowed from the library or accessed online giving students a choice of ways of working. There may be times when only having access to a phone is limiting in some way; but these can generally be navigated by using a machine (desktop / laptop) at home or in a study space in college. There are a number of laptops available for short-term loan at college, but availability on any given day is not guaranteed.

Screen Size: A device with a larger screen than a phone would make some ‘things’ easier eg downloading and completing a revision paper, viewing the online version of the textbook, accessing a powerpoint. We also find that the ability to hand-write with a touch screen /stylus is preferable for drawings, writing equations and formulae etc. For this reason, if students are investing in a device, we’d recommend a tablet with stylus or a touch-screen laptop. A tablet with stylus rather than a laptop is sufficient and probably relatively inexpensive (compared to a laptop).

Brands: Windows laptops are preferable to Apple (macOS) in STEM subjects. Lecturers use Windows and will use this platform to demonstrate processes, tasks etc in the classroom. We find the range of machines (incl. touchscreen) and software available, alongside budget considerations make Windows the preferred option. However, it is entirely possible to use a Mac instead if that is your preference; you may just end up with questions about how to manage software in the mac ecosystem which can take a bit more time to resolve.

Information about what device may be required for this course, where available, can be found on our Bring Your Own Device guidance page.

FAQs

Can I do Maths, Further Maths and ONLY ONE other A-Level?

No, a lot of universities see Further Maths as a fourth A-Level, one which you do to show your ability and dedication to the subject. Some courses treat Further Maths as a separate A-Level and some will only take your best grade from Maths and Further Maths. As a result we only enrol you on Further Maths if you have two other choices that you will carry on to the second year.


What if I change my mind after a few weeks? // I'm not sure if I should choose Further Maths

You can always move back to a normal maths group in the first term. We are covering the same content albeit a bit faster. You can change to a normal A-Level group and will be a bit ahead of where they are when you join. If you aren’t sure you should start in the Further Maths group.


What if I do not want to do 4 A-Levels?

There is an option during the first year to decide between:

  • A-Level Maths and Further Maths A-Level
  • A-Level Maths and Further Maths AS level
  • Just the normal Maths A-Level

Many students decide after researching their university or career futures that they do not need to take the 4 full A levels and select one of the other routes.


Do I really need a device for day to day maths lessons?

We'll split this into necessary/helpful/extra.

Necessary - you need a device which can do the following:

- Access emails

- Use our virtual learning environment, Moodle.

- Access files such as pdfs and word files, to see past papers, answers etc.

All that is necessary is a smart phone.

 

Helpful - students who can do these things on a device will often find things easier:

- Have a larger screen to view more of a document at once/bigger, especially for using the online textbook.

- Write onto their screen, so you can annotate pdfs and make digital notes rather than paper-based.

- Keep your notes organised digitally so you have less to carry around, and you're less likely to lose things

For notes and most classroom-based work, a normal laptop (without a writeable screen) will not be very helpful except as a larger screen to see files. Maths does require lots of writing equations and drawing diagrams, for which hand-writing is important. We often find that even students who are allowed to type in exams still prefer to hand-write large sections because it is easier.

In addition, research about memory shows that people remember things better if they handwrite the notes rather than typing.

We would recommend a laptop with a touchscreen or a tablet for these functions.

 

Extra - these are occasional uses, for which using desktops in college or a laptop at home would be sufficient:

- Use of Excel for data analysis on the large data set. This is necessary some on a few occasions through the course, although we will be in a College computer room for this lesson.

For this a Microsoft laptop would be useful if you prefer to use your own device over a College PC. They can mostly be done on tablets anyway though.


What do I need to buy to get ready for the course?

You'll need your own calculator that is specifically designed for A level. For the vast majority of students this will mean buying a new one. In lessons we will demonstrate how to use the relevant calculator features - so we suggest that everyone gets the CASIO fx-991CW (or the 991 EX older model) CLASSWIZ so you can follow the demonstrations. This is available for a little under £25 either from Amazon or through the college shop. If you have a college bursary you could use some of this for your calculator.

Aside from this you will need basic stationery and paper for rough work - things like a protractor are not required!

You will be provided with a red A4 exercise book for making neat notes throughout the year.


Available As

A Level
[56 UCAS pts. available]

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What can I do after I have taken this course?

Available As

A Level
[56 UCAS pts. available]

Add to Application

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