# Bitesize Maths Coursework

## Introduction

In the Mathematics Department we aim to stimulate and develop pupils’ curiosity, interest and enjoyment in mathematics and the way mathematics relates to the world outside school. Although preparation for public exams is an essential part of the Department’s role, we also provide opportunities for pupils to take part in puzzles, competitions and challenges.

## Junior House (Key Stage 2)

In preparation for the Key Stage 2 exams, Junior House pupils follow the National Curriculum for Mathematics which is divided into seven strands: using and applying Mathematics; counting and understanding number; knowing and using number facts; calculating; understanding shape; measuring; handling data.

Maths Dictionary

BBC Bitesize

### First, Second and Third Forms (Key Stage 3)

At Key Stage 3 pupils follow the National Curriculum for Mathematics. The curriculum is divided into five main areas: mathematical processes and applications, number, algebra, geometry and measure, and statistics.

Number | calculations with integers, fractions and decimals; factors, multiples and prime numbers; percentages, ratio and proportion; indices and standard form; number sequences. |

Algebra | using formulae; linear and quadratic equations; simultaneous equations; coordinates and graphs. |

Geometry and Measure | metric and imperial units of measurement; angles; areas of triangles and quadrilaterals; volumes of prisms; circles; symmetry and transformations; Pythagoras’ Theorem; trigonometry; locus. |

Statistics | designing questionnaires and collecting data; graphs and charts; the mean, median, mode and range; probability |

National Curriculum

BBC Bitesize

1000 Problems

nRich

## Fourth and Fifth-Forms (Key Stage 4)

At GCSE pupils prepare for the Edexcel specification at Higher or Foundation level, which builds on the work studied at Key Stage 3. Additional topics covered at this level include:

Number | compound interest and depreciation; direct and indirect proportion; index laws; upper and lower bounds; irrational numbers and surds. |

Algebra | inequalities; linear and quadratic equations, the quadratic formula and completing the square; equations of straight lines; graphs of quadratic, cubic and exponential functions; transformations of graphs. |

Geometry and Measure | similarity and congruence; sectors and segments of circles; the cylinder, sphere, cone and pyramid; geometrical constructions; compound measures; vectors. |

Statistics | random sampling methods; histograms and cumulative frequency graphs; scatter graphs and correlation; time series and moving averages; probability. |

### There is no controlled assessment in the GCSE course.

Edexcel specification

BBC Bitesize Maths

MathRevision.net

nRich

### Upper Fifth

The top Maths set will also study the Free Standing Mathematics Qualification in Additional Mathematics, administered by OCR. The course provides a good introduction to A Level, covering four areas of Pure Mathematics – algebra, coordinate geometry, calculus and trigonometry – each supported by a branch of Applied Mathematics.

OCR specification

## Sixth-Form

At A Level we follow the Edexcel specifications for Mathematics and Further Mathematics. All students study Pure Maths, Mechanics and Statistics. For further Maths, students will also study each of these branches of mathematics at a higher level. There is no coursework required at A Level.

Core Maths | algebra and functions; coordinate geometry of straight lines and circles; sequences and series, arithmetic and geometric progressions, the binomial theorem; differentiation, integration and their applications; trigonometry; exponentials and logarithms; parametric equations; proof; vectors. |

Mechanics | kinematics and dynamics of particles moving in a straight line; Newton’s Laws of Motion. |

Statistics | graphical and numerical representation and summary of data; probability; correlation and regressio, the uniform, Poisson and normal distributions; hypothesis testing. |

Further Pure | complex numbers; conic sections; matrices; finite series; proof by induction; differential equations; Maclaurin and Taylor series; polar coordinates; hyperbolic functions; vectors. |

Further Mechanics | momentum and impulse, energy, elasticity, collisions. |

Further Statistics | discrete probability distributions, the Poisson and geometric distributions, the Central Limit Theorem, goodness of fit tests. |

Edexcel specification

MathRevision.net

MathWorld

Plus Magazine

**Internet Resources**

The Mathematics section of the school VLE website includes a wide range of supporting material, such as lesson notes, PowerPoint files, sample exam papers and past exam papers.

## The Euclidean Society

The Society aims to promote enjoyment of Mathematics beyond the classroom. Each year a large number of pupils take part in the United Kingdom Mathematics Trust Mathematics Challenges at Junior, Intermediate and Senior levels. In 2009 for the first time we also entered teams for the UKMT Junior and Senior Team Challenges. The National Cipher Challenge, run by the Mathematics Department at the Universityof Southampton, has also been a popular competition in recent years. We also organise trips to lectures in London from time to time.

Maths Challenge

Cipher Challenge

## Teaching Staff

Mr M Sharman MA (Director of Staff Administration and Head of Mathematics) msharman@los.ac

Miss S Adkins BSc

Mrs S Burden-Griffiths BA

Mr P Isaaks BSc

Mr P Kelly BSc

Mrs M Mitchell Cert Ed

Mr M McDonald BSc

Mr B Paull

Mr R Pointin BSc

Mr A Rubio BSc (Second in Department)

Miss M Tran BA

There is a range of material available, including examples of candidate evidence with commentaries, as part of our Understanding Standards programme. This material is for teachers and lecturers to help them develop their understanding of the standards required for assessment. As new material is developed we will publish this information in our weekly Centre News. All material available can be found in the following locations:

**Available from our Understanding Standards website**Material relating to externally assessed components of course assessment, with the exception of those subject to visiting assessment.

**Available from our secure website** Material relating to internally assessed components of course assessment, and components of course assessment which are subject to visiting assessment. In addition, material relating to freestanding units which are no longer part of National 5 courses can be found on this website. Teachers and lecturers can arrange access to these materials through their SQA Co-ordinator.

More information on Understanding Standards material for this subject can be found on our Understanding Standards website at http://www.understandingstandards.org.uk/Subjects/Mathematics.

The National 5 audio presentation provides a detailed overview of the revised course assessment for this subject.

### Additional CPD support

Where any particular areas of concern are identified, which are not addressed by our Understanding Standards events or support materials, we will offer free continuing professional development (CPD) training, subject to request. CPD support is subject-specific and can be tailored to cover one or more qualification level. To find out more about this service visit our CPD page.

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