# MATHS - Summer Preparation Booklet New Students' Information Online 2020 - Joseph Chamberlain College

```New Students’ Information Online 2020

Summer Preparation Booklet

MATHS```
```SUBJECT LISTED:

>   Mathematics [AS]
>   Further Mathematics [AS]
>   Mathematical Studies [AS only]
>   Mathematics [GCSE]

New Students’ Day 2020
Joseph Chamberlain College```
`Mathematics [AS]`
```MATHEMATICS
AS-Level

► What are the main features of this course?

If you enjoy algebra, you are highly likely to enjoy AS Maths. You will
study a mixture of Pure Mathematics, Mechanics and Statistics. Pure
mathematics builds on the algebra and trigonometry work you have
studied at GCSE and introduces calculus. Mechanics includes vectors,
kinematics, forces and Newton’s Laws. Statistics includes sampling,
interpretation of data, probability, the introduction to statistical
distributions and hypothesis testing.
A range of online resources will be available, including Dr Frost Maths
and Integral Maths.

► Hours of lessons per week: 5

► Indicative group size: 20

► How is the course assessed?

The course is linear with two exams at the end of your AS year. Each
paper is 1 hour 30 minutes long and is made up of a mix of question
styles, from short, single-mark questions to multi-step problems.

► Where can I go next?

Progression onto the second year to complete a full A Level. A-level
Mathematics is extremely useful in many fields. It is essential, not only for
the study of Mathematics and Pure Sciences, but also for all forms of
engineering, along with Physics and Computer Science. It is accepted
as a strong qualification for Medicine. It can also lead to courses in
Economics, Business Studies, Law and Computing.

Chris Huffer
chuffer@jcc.ac.uk```
```AS MATHEMATICS

SUBJECT OVERVIEW
If you enjoy working with algebra and the challenges of
logical problem solving, you will enjoy AS Mathematics.

The course is a mixture of Pure Mathematics, Mechanics and
Statistics in the ratio 4:1:1

Pure Mathematics begins as an extension of the work you
have studied at GCSE, such as algebra and trigonometry.
Eventually you will study one of the major disciplines in modern
mathematics – calculus.

Mechanics includes the study of motion, forces, projectiles
and vectors. You may have already studied aspects of
Mechanics within Physics and there are strong links between
AS Physics and the Mechanics section of AS Mathematics.

Statistics is the analysis and interpretation of data. You will
learn how to collect data, analyse it and interpret it, using
some concepts you will be familiar with (averages and
spread) and others that you are unlikely to have met
previously such as hypothesis testing.

New Students’ Day 2020
Joseph Chamberlain College```
```SUMMER CHALLENGE
>    This course requires strong algebraic skills, regular practice
and resilience. Demonstrate those skills by revising your higher
level GCSE algebra topics.

>    If you need a reminder of any of these skills, you may find the
following sites useful:
https://corbettmaths.com
http://www.cimt.org.uk/projects/mepres/step-up/index.htm

>    Click on the following link and print off the sheet of questions
on algebraic topics and complete the questions before
enrolment day.
2020-work-for-starting-AS-maths.pdf

HINTS & TIPS
>    You will need to buy a Casio FX–991EX Classwiz
calculator for your AS Mathematics course – we sell
these in the maths office for £24.

Get organised – buy a lever arch folder and dividers to file
>    your notes as well as black pens, pencils and a ruler.

Watch films such as:
• The Imitation Game
• Good Will Hunting
• A Beautiful Mind

AS MATHEMATICS```
```Further
Mathematics [AS]```
```FURTHER MATHEMATICS
AS Level

► What are the main features of this course?
If you would like to get a much deeper understanding of mathematics
then AS Further Mathematics may be suitable for you. The Further
Mathematics course builds on the ideas in Pure Mathematics (calculus,
trigonometry, algebra and vectors) as well as introducing some rather
different ideas in areas such as complex numbers, polar coordinates and
hyperbolic functions.

We have also chosen components in Mechanics and Statistics as our
options for the Applied part of the AQA course.

To study Further Mathematics you must also study Mathematics so you will
spend 10 hours each week in the Maths department. In addition, a range
of online resources will be available, including Dr Frost Maths and Integral
Maths.

► Hours of lessons per week: 5

► Indicative group size: 12

► How is the course assessed?
The course is linear with two exams at the end of your AS year. Each paper
is 1 hour 30 minutes long and is made up of a mix of question styles, from
short, single-mark questions to unstructured, multi-step problems.

► Where can I go next?
Progression onto the second year to complete a full A Level. Further
Mathematics is an A-level which is extremely useful in many fields. It is highly
advantageous, not only for the study of Mathematics and Pure Sciences,
but also for all forms of engineering and Physics. Many university courses in
Economics and Computing may also require an AS or A-level in Further
Mathematics

Chris Huffer
chuffer@jcc.ac.uk```
```AS FURTHER MATHEMATICS

SUBJECT OVERVIEW
If you would like to get a much deeper understanding of
mathematics then AS Further Mathematics may be a good
option for you. You must study Further Mathematics
alongside AS Mathematics.

• Some of the topics you will study are:

     Mathematical Modelling
     Problem Solving
     Mathematical Argument
     Language and Proof

• Further Mathematics builds on the ideas in Pure
Mathematics

   Calculus,
   Trigonometry,
   Further Algebra and
   Vectors
   Complex numbers,
   Hyperbolic functions and
   Polar coordinates

New Students’ Day 2020
Joseph Chamberlain College```
```SUMMER CHALLENGE
>    Success on this course depends on very strong algebraic
skills. Go through your higher GCSE notes or an equivalent
textbook and revise all the algebra topics.

>    If you need a reminder of any of these skills, you may find the
following sites useful:
https://corbettmaths.com
http://www.cimt.org.uk/projects/mepres/step-up/index.htm

>    Click on the following link and print off the sheet of questions
on algebraic topics and complete the questions before
enrolment day.
2020-work-for-starting-AS-maths.pdf

HINTS & TIPS
>    You will need to buy a Casio fx-991EX CLASSWIZ (we
sell these fro £24) for AS Mathematics and a graphical
calculator for Further Mathematics which we will
provide for you on a lease.

Log onto www.mymaths.co.uk             www.mathsnetalevel.com

• ‘The Music of the Primes’ by Marcus du Sautoy
• ‘The Code Book’ by Simon Singh

AS FURTHER MATHEMATICS```
```Mathematical
Studies [AS only]```
```MATHEMATICAL STUDIES
AS-Level only

► What are the main features of this course?

If you enjoy mathematics and are interested in its applications to
the real world, then AS Mathematical Studies is the course for
you. This one year AS Level course consists of Mathematics for
personal finance, estimation to solve real world problems and
examining data sets including critical analysis of data in the
media.
In addition, a range of online resources will be available,
including Dr Frost Maths and Integral Maths.

► Hours of lessons per week: 5

► Indicative group size: 20

► How is the course assessed?

The course is linear with two exams at the end of the year. Each
paper is 1 hour 30 minutes long and is made up of a mix of
question styles, from short, single-mark questions to multi-step
problems.

► Where can I go next?

AS Mathematical Studies is extremely useful in many fields. It is of
particular importance in Business Studies, the Humanities, Social
Sciences and the Sciences.

Chris Huffer
chuffer@jcc.ac.uk```
```AS MATHEMATICAL STUDIES

SUBJECT OVERVIEW
AS Mathematical Studies - This one-year course allows students to
discover and analyse mathematics in the real world. A new
qualification that is highly regarded by Universities.

Topics covered include –
• Statistics and Data
• Income Tax and National Insurance
• Mortgages, Loans and Bank Accounts
• Mathematics in the Media
• Correlation and Regression
• Normal Distribution and Confidence Intervals

Entry Requirements –
• At least a Grade 5 in GCSE Maths
• At least a Grade 4 in GCSE English
• 4 other GCSEs at Grade 4 or higher

Exam Board – AQA

Careers and Higher Education – Provides a good alternative to AS
Mathematics and AS Statistics for those who want to do maths at
college but don’t want to study a full course for two years.

New Students’ Day 2020
Joseph Chamberlain College```
```SUMMER CHALLENGE
>   Make sure that you are confident with data handling and
statistics from GCSE as this forms the basis of the start of the
course – revise these topics from your GCSE notes or use a
suitable textbook or the websites listed below.

>   If you need a reminder of any of these skills, you may find the
following sites useful:
https://corbettmaths.com
http://www.cimt.org.uk/projects/mepres/step-up/index.htm

>   Collect some data about a topic of your choice and display
this effectively with analysis of the data and appropriate
graphs. The best presentation will get a prize in the first week
of term.

HINTS & TIPS
>   We follow the AQA specification and further details
can be found at www.aqa.org.uk
Note – we are only studying Paper 1 and Paper 2A.

This course looks at mathematics in the real world so it
>   would be good practice to be aware of any mathematics
or statistics in the media (e.g. modelling of Coronavirus
cases) and be prepared to consider the accuracy and
validity of the information.

>   You will need to buy a Casio fx-991EX CLASSWIZ calculator
(we sell these for £24) and a folder for your notes as well as
the usual equipment needed such as black pens, ruler and
pencils.

AS MATHEMATICAL STUDIES```
`Mathematics [GCSE]`
```MATHEMATICS
GCSE

► What are the main features of this course?

This one year course covers number, algebra, ratio, proportion,
rates of change, geometry & measure and probability & statistics,
leading to GCSE 9 – 1 grades. A text book particularly designed for
the course is used and this is supported with worksheets and online
resources such as Dr Frost Maths, www.mymaths.co.uk and
Century Tech.

► Hours of lessons per week: 5

► Indicative group size: 20

► How is the course assessed?

This new specification GCSE Mathematics course will be assessed
by three written exams; one non-calculator and two calculator
papers. Each paper is 1 hour 30 minutes long and is taken in the
summer term. In some cases, where it is appropriate, students may
be entered for a re-sit examination as soon as November.

► Where can I go next?

As well as being considered a necessary qualification for Higher
Education and employment, a good pass in GCSE Maths is a
requirement for starting some AS-level subjects.

Chris Huffer
chuffer@jcc.ac.uk```
```GCSE MATHEMATICS

SUBJECT OVERVIEW
• A good pass in GCSE Mathematics is often considered a
necessary qualification in Further & Higher Education and
by employers.

• All students who have not yet achieved a grade 4 or above
at GCSE Mathematics level must continue to work towards
this goal.

• Students will be placed in classes with students who are all
working at a similar level.

• This course runs over the duration of one year and follows
the Edexcel specification. Most students will follow the
foundation specification where students can achieve a

• We provide early entry in November for those students who
are focused and working on the border of grade 3 and
grade 4. All other entries will take place in the summer.

New Students’ Day 2020
Joseph Chamberlain College```
```SUMMER CHALLENGE
>   Log onto www.mymaths.co.uk         www.mymaths.co.uk
boosters.

>   Complete and mark a past paper to ensure that you are
prepared for our initial assessment which will take place
during the first week of September.

>   Research a new topic by watching a video on
www.mathsgenie.co.uk
Complete a topic exam practice booklet to test your
knowledge.

HINTS & TIPS
>   Watch videos on YouTube such as Hegarty maths
and Jack Brown to learn some new information.

Print off topic based assessments from
>   www.mathsgenie.co.uk
to follow worked examples and then test your
knowledge

>   Think about when and where you use mathematics
over your summer break. Examples may include:
planning a trip, looking at Coronavirus data, best buy
or discounts whilst shopping.

GCSE MATHEMATICS```
```Joseph Chamberlain College
New Students’ Information
Online 2020

Summer
Preparation
Booklet

MATHS

WWW.JCC.AC.UK```