## Mathematics

### Curriculum Leader: Mr L Barker

C. Lucas (LUCASC@sgsce.co.uk)

Fortnightly Lessons:
Year 7 – 7 lessons
Year 8 – 6 lessons

Homework:
Once a week (MyMaths)

Year 7 Topics:
Number – addition, subtraction, multiplication, division, factors, multiples, perimeter and area
Geometry – Draw, measure and name angles, find unknown angles, properties of triangles and quadrilaterals
Fractions – equivalent fractions, fractions and decimals, mixed and improper, fraction of a quantity, multiply and divide with fractions
Algebra – order of operations, substitution, simplifying expressions, sequences
Percentages and statistics – pie charts, percentage, fractions and decimals, percentage of a quantity, find the percentage

Year 8 Topics:
Number – factors, multiples, primes, LCM, HCF, Venn diagrams, adding and subtracting fractions
Algebra – negative numbers, form algebraic expressions, linear equations, sequences, nth term
2D Geometry – draw triangles and quadrilaterals, angles (parallel lines), area and perimeter
Proportional reasoning – convert between percent, fractions and decimals, percentage increase and decrease, ratio, speed, distance and time
3D Geometry – rounding, significant figures and estimating, circumference and area of a circle, 3D shapes and nets, Volume
Statistics – collect and organise data, interpret and compare statistical representations, mean, median, mode, range and outliers

Useful Resources:
www.mymaths.co.uk
BBC Bitesize KS3 website

All of our Key Stage 4 students follow their GCSE course based on the following textbooks:  Edexcel GCSE Maths A Linear Higher/ Foundation. We will advise students on revision books to help them reach their full potential when appropriate.

All students are given a minimum of one piece of homework per week. We use a website for students to access and complete their homework.

From year 11 we provide one hour compulsory revision per week after school on a Wednesday between 3:15 and 4:15 and the homework they receive is linked to their milestones.

We currently use the Edexcel examination board for the Higher tier GCSE. You can access via this link: http://www.edexcel.com/subjects/mathematics

We currently use the Edexcel and OCR examination board for the Foundation tier GCSE. The Edexcel link is the same as above and you can access the OCR details via this link:
http://www.ocr.org.uk/qualifications/by-subject/mathematics

We offer revision/homework club to all pupils with the help of a maths teacher during Friday lunchtime and Tuesday after school in room 10.

 Contact : Ms C Boarer Examination Board : Edexcel.

What is Maths A level about?

Mathematics at AS and A2 level is comprised of three main areas:

Pure Mathematics, Statistics and Mechanics.  Pure Mathematics is the study of the basic principles of Mathematics that underpin many real life processes.  During this part of the course you will extend your knowledge of such topics as algebra, trigonometry and sequences.  You will also learn new concepts such as calculus.  Statistics is the study of data.  This part of the course will teach you how to critically analyse data and how probability theory can be used to model real life situations. Mechanics is a practical application of Mathematics. It considers how we can use Mathematics to model real-life situations and how best to solve physical problems.

Course Requirements

Prospective students must have at least a grade B at GCSE Mathematics, though an A grade is desirable.  There is a significant difference in the expected outcome of students who achieved an A grade at GCSE compared with those who achieved a B grade due to the difficult nature of the subject.

Since the course is very algebra based you must also have good skills in manipulating algebra and you will be tested on this during the first week of the course.

Between Year 11 and Year 12, students are required to complete a summer work booklet.  This is a unit of work designed to bridge the gap between GCSE and A level.  It should take students around two hours to complete and mainly focuses on the B, A and A* topics of GCSE which are fundamental in A level Maths.

Three weeks after commencing the A level Maths course, students will be given an induction assessment to complete.  This allows us to accurately assess whether or not Mathematics A level is the correct course.  We carry out this testing very early in the course, as it is extremely important that students who will struggle to cope with the nature and demands of Mathematics A level are identified.

Mathematics is a highly employable A level to have.  Most students who study Mathematics go on to careers in Engineering, Computer Science, Finance, Investment Analyst, Science and Research, Medicine, Economics, Statistician, Chartered Accountant, Systems Developer.

Expectations

• The department expects all ‘A’ level students to approach their studies in a mature fashion and to complete all tasks to the best of their ability both in class and for homework tasks.
• Students are expected to complete at least 4 hours of additional work outside of lessons per week. This is particularly important in Maths as the techniques learnt cannot be simply learnt and then recalled in a test.  They need to be practiced.
• Each student will need to bring their Module textbook and a lever arched folder to each lesson together with a stationary supply and scientific calculator.
• Students carry out an assessment after each unit of work (around every two weeks).  Students are expected to remain on target and complete each assessment to a satisfactory standard.  Students who do not perform as expected will be required to retake the assessment/s (times will be announced).
• Most importantly, students must arrive with enthusiasm and a willingness to learn.

Complementary Subject Combinations
The main links between other subjects and Maths come from the choice of applied topic:

• Mechanics – fits well with Physics as there is a lot of overlap in the content of the courses
• Decision – there are many A levels and degrees that use the techniques learned in Decision Maths.  Computer Sciences and Programming, Business and Management and Electronics all have elements of Discrete Maths (another name for Decision Maths), in their university courses.
• Statistics – fits well with Psychology and Biology as they use statistical analysis in some of their coursework.

Video Tutorials. The most useful website in my opinion is www.examsolutions. It contains videos on all A level topics which are a useful start point for students who are reading ahead.
Past question papers are an essential part of the revision process for Mathematics, it is important to get plenty of practice of the type of questions you will be asked in exams. At the end of each chapter in the text book there is a mixed exercise made up of past exam questions and we always leave plenty of time after completing the learning for the module to do past paper practice, both under exam conditions and as an open book revision tool. The entire collection of Edexcel past Quest Papers for all modules is located via this link http://www.mathspapers.co.uk/edexcel.html.

Textbooks

Edexcel AS and A Level Modular Mathematics: Core Mathematics 1 (C1),  by Keith Pledger and Mr Dave Wilkins (13 May 2008).

Edexcel AS and A Level Modular Mathematics: Core Mathematics 2 C2),  by Keith Pledger and Mr Dave Wilkins (13 May 2008).

Edexcel AS and A Level Modular Mathematics: Core Mathematics 3 (C3), by Keith Pledger and Mr Dave Wilkins (13 May 2008).

Edexcel AS and A Level Modular Mathematics: Core Mathematics 4 (C4),  by Keith Pledger and Mr Dave Wilkins (13 May 2008).

Edexcel AS and A Level Modular Mathematics – Statistics 1, by Keith Pledger et al (Author), Alan Clegg (Author), Susan Gardner (Editor).

Edexcel AS and A Level Modular Mathematics – Mechanics 1 by Ms Susan Hooker, Mr Michael Jennings, Bronwen Moran and Mr Laurence Pateman (3 Oct 2008).

How is this course structured?

All units are equal weighting.

 Unit Content Unit Assessment AS Unit 1:  Core Maths 1  This extends your GCSE knowledge of Algebra.Indices and Co-ordinate systems.  It also teaches you how to express your Mathematics correctly.  This is the only non-calculator option. Module examination in May/June ofYear 12. AS Unit 2: Core Maths 2  This builds upon the work you did in Core 1. In this module you begin to look at such topics as Calculus and Trigonometry. Module examination in May/June ofYear 12. AS Unit 3:  Statistics 1  This module covers how to analyse data, the binomial distribution, probability theory and how to test whether a particular result is significant Module examination in June of Year 12. A2 Unit 4: Core Maths 3  This module extends the calculus techniques that you learnt in Core 2.  It also looks at functions and natural logarithms.  You will be required to produce a piece of coursework. Module examination in June of Year 13. A2 Unit 5: Core Maths 4 This module is called Applications of Advanced Mathematics.  The module extends all the topics you have learnt thus far and asks you to apply them in more complex situations. Module examination in June of Year 13. AS Unit 3: Mechanics 1 This looks at how to model situations involving velocity, distance and time.  It also considers the motion of projectiles. Module examination in June of Year 13.

Mathematics Course Pathways

 Course Modules Studied – AS AS Cash-in code Modules Studied  – A2 A2 Cash-in code Maths Mechanics C1 6663 C2 6664M1 6677 Maths 8371 C3 6665 C4 6666M2 6678 Maths 9371 Maths Statistics C1 6663 C2 6664S1 6683 Maths 8371 C3 6665 C4 6666D1 6689 Maths 9371 Pure Maths C1 6663 C2 6664C3 6665 Maths 8371 C4 6666FP1 6667FP2 6668 Pure Maths 9372 Further Maths M1 6677 S1 6683 D1 6689 Maths 8371and Further Maths 8372 M2 6678 S2 6684 S3 6685 M3 6679 Maths 9371and Further Maths 9372 Two A – Levels (Maths and Further Maths) Maths (using C1-2 and e.g. M1) and Further Maths (using FP1, and remaining two applied units)