## Mathematics

**Staffing**

Mrs N Ford - Head of Mathematics | Dr E Mawson |

Mr S Conner - Second in Mathematics | Mrs P Naylor |

Mr S Jones | Mr A Weston |

Mr M March | Mrs E Hamilton |

**Department Overview**

Mathematics is taught at Queen Elizabeth Grammar School by an experienced team of subject specialists. We have a dedicated suite of modern rooms with internet provision, digital projectors and interactive whiteboards in all rooms. We have a large and diverse set of resources to complement these excellent facilities and enhance the quality of teaching and learning.

There is a Mathematics clinic held during one lunchtime each week, to provide extra support for any students experiencing difficulties or who have missed work through absence.

Many pupils take part in the annual UK Mathematics Challenges and teams are regularly entered for regional and national Mathematics Competitions.

There is a weekly Mathematics puzzle which all pupils are encouraged to enter, and prizes are awarded to successful pupils.

## KS3

Pupils are taught in form groups in Year 7 and are then divided into ability groups from Year 8 onwards. The composition of these groups is regularly reviewed and changes are made whenever necessary. Progress is monitored through a series of regular assessments and end of year examinations. All pupils have targets set based upon prior performance and are monitored against these targets.

All pupils are provided with their own textbook to keep at home, and often homework is set from this. A copy of the school book and other resources are available on the kerboodle website.

## GCSE

**GCSE Mathematics**

**Why study Mathematics?**

Mathematics is a core subject which is studied by all students for GCSE. The learning in mathematics is transferable across many of the subjects you will study, particularly in science and technology. Students will learn key skills for everyday use as well as valuable skills in logic, problem solving and analysis.

**Features of the course:**

There are two tiers of entry for GCSE mathematics; higher tier which accesses grades 4 - 9 and foundation which accesses grades 1 - 5. Students will continue to be taught mathematics in ability groups and all will study for the higher tier course. A small number of students may be entered for the foundation paper at the end of Year 11 based on the target grade they are expected to achieve and their progress throughout the course.

Students will learn through a range of styles of activities including individual learning, group work and problem solving tasks. The topics covered in Years 7 - 9 will be revisited and built upon with a number of new topics, such as vectors, introduced. Students will see an increasing overlap in the topics that are covered and problem solving in real life contexts becomes a significant focus.

For all lessons and examinations students will be expected to have mathematical instruments and a scientific calculator, we recommend the Casio FX83GT-Plus or if students are planning future mathematical study the Casio FX-991ES-Plus.

**Enrichment:**

There will be the opportunity to take part in the UKMT Maths challenge during the course. Additionally we invite students to attend the weekly problem solving club as this will enhance their skills for this element of the course. Support is offered through the weekly maths clinic for students to drop in with any questions they may have.

**What opportunities for progression does it offer?**

A grade 5 or above in mathematics is the threshold for many progression opportunities such as some university courses or employment.

This course is an excellent foundation for those students who are aspiring to study mathematics at A-Level.

**Key information:**

Topics for Study: |
Revisiting topics from Years 7-9 with an emphasis on generalised solutions using algebraic techniques; problem solving; number; geometry; algebra; and shape. |

Assessment summary |
3 x 1 hour 30 minutes examinations. 1 x non-calculator paper, 2 x calculator allowed papers. |

Exam Board |
Edexcel |

## A-Level

**A-Level Mathematics**

**Why study Mathematics?**

Mathematics is one of the most useful and versatile subjects you can study in the Sixth Form.

If you enjoy the intellectual challenge that mathematics offers and the great satisfaction that is gained from working through difficult mathematical problems, then you have chosen the right subject.

There are very few career routes that do not value A-Level mathematics and many that demand A-Level mathematics.

**What do I need to know or be able to do before taking this course?**

A sound mathematical basis is crucial to be able to follow the course. Therefore, a grade 7 in GCSE mathematics is essential.

**Features of the course:**

Over the two years, you study a combination of algebraic techniques in order to solve co-ordinate geometry, trigonometry and sequences problems amongst others. In addition, you will study mechanics and statistics.

Pure mathematics includes proof; algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration; numerical methods; and vectors.

Mechanics studies things that move and what causes them to move, and things that do not move and the forces within them. The topics include: quantities and units in mechanics; kinematics; forces and Newtonâ€™s laws; and moments.

Statistics allow you to analyse data using increasingly sophisticated techniques. The topics include: statistical sampling; data presentation and interpretation; probability; statistical distributions; and statistical hypothesis testing.

**Key information:**

Topics for Study: |
Pure Mathematics, Statistics, Mechanics |

Assessment summary |
Paper 1: Pure Mathematics, 2 hour examination (33.33%) Paper 2: Pure Mathematics, 2 hour examination (33.33%) Paper 3: Statistics and Mechanics, 2 hour examination (33.33%) |

Entry requirements |
Grade 7 in GCSE Mathematics |

Exam Board |
Edexcel |

**A-Level Further Mathematics**

**Why study Further Mathematics?**

Further mathematics is an extension of the A-Level mathematics course and you must take A-Level mathematics to be able complete further mathematics.

**What do I need to know or be able to do before taking this course?**

A sound mathematical basis is crucial to be able to follow the course. Therefore, a grade 7 in GCSE mathematics is essential.

**Features of the course:**

Students will extend their algebra techniques by looking into topics such as complex numbers, matrices and alternative co-ordinate systems. In addition, students can study further mechanics and statistics or try out a very different type of mathematics called decision. Decision mathematics studies a range of algorithms, for example understanding how a satellite navigation system calculates a route using an algorithm. There will be some choice over which fields students can study and sit exams in.

**Further Pure Mathematics:** Proof, complex numbers, matrices, further algebra and functions, further calculus, further vectors; polar coordinates, hyperbolic functions, differential equations, coordinate systems, further numerical methods, inequalities, groups, further calculus, further matrix algebra, further complex numbers, number theory, further sequences and series.

**Further Statistics:** Linear regression, statistical distributions (discrete), statistical distributions (continuous), correlation, hypothesis testing, Chi squared tests), probability distributions, combinations of random variables, estimation, confidence intervals and tests using a normal distribution, Other hypothesis tests and confidence intervals, probability generating functions, quality of tests and estimators.

**Further Mechanics**: Momentum and impulse, collisions, centres of mass, work and energy, elastic strings and springs, further kinematics, further dynamics, motion in a circle, statics of rigid bodies, elastic collisions in two dimensions.

**Decision Mathematics:** Algorithms and graph theory, algorithms on graphs, algorithms on graphs II, critical path analysis, linear programming, transportation problems, allocation (assignment) problems, flows in networks, dynamic programming, game theory, recurrence relations, decision analysis.

**Key information:**

Topics for Study: |
Further Pure Mathematics, Further Statistics, Further Mechanics, Decision Mathematics |

Assessment summary |
Paper 1: Further Pure Mathematics, 1 hour 30 minutes (25%) Paper 2: Further Pure Mathematics, 1 hour 30 minutes (25%) Paper 3: Further Mathematics Option 1, 1 hour 30 minutes (25%) Paper 4: Further Mathematics Option 2, 1 hour 30 minutes (25%) |

Entry requirements |
Grade 7 in GCSE Mathematics |

Exam Board |
Edexcel |