Mathematics

The Mathematics Department is made up of eighteen well qualified and enthusiastic teachers who aim, not only to enable all students to maximise their progress in Mathematics but to also enjoy the subject.

Many students opt to study Maths beyond GCSE due to the usefulness in supporting other subject areas and the opportunities that Maths offers in future career progressions.

The subject is generally taught in topic areas. However, it is important for students to develop their problem solving skills and develop an understanding of how different strands and topic ideas link.

With this in mind, students are regularly given the opportunity to apply Mathematics to real life problems.

There are always opportunities for support and extension activities which include:

  • Support and revision classes for GCSE, AS and A2 Maths
  • Preparation for post A-Level examinations such as STEP
  • National Maths Challenges, run by UKMT. Students with the best results have the opportunity to progress to the ‘Kangaroo’ then the ‘Olympiad’ levels.
  • UKMT Maths Team Challenge (in competition with local schools)
  • National Numeracy Day competitions (run in school)

Introduction

Maths is compulsory for all students in years 7 to 11 and all students follow the AQA GCSE Linear Mathematics Specification. Some students also study for the AQA Level 2 Further Maths GCSE. Students who do not achieve a level 4 will have to re-sit the exam during year 12. A Level Maths is available for students who wish to study Mathematics beyond GCSE and who meet the entry requirements.

 
Equipment

In every Mathematics lesson, all students should have a black pen, pencil, 30cm ruler, eraser, protractor, pair of compasses and a small pencil and a scientific calculator. All equipment can be purchased from the school shop in the library.

 
GCSE Maths

Students in Years 7 to 11 follow a 5 year GCSE Mathematics curriculum and are prepared for the AQA Linear 9 – 1 GCSE Mathematics. They are taught in sets and all students experience a wide range of teaching and learning experiences within their lessons.

 
Tiers of Entry

GCSE Mathematics has two tiers of entry. The Higher tier will examine topics at levels 4 – 9 and the Foundation Tier at levels 1 – 5. Whilst we aim for as many students as possible to sit the Higher Tier exams, the final decision will be made after the mock exams in year 11. There will be three written papers, the first of which is a non-calculator paper. All papers can examine any topic and are equally weighted.

 
Beyond GCSE

In Years 10 and 11, students in sets 1 and 2 also study for the Level 2 Further Mathematics. This is an additional GCSE Mathematics qualification which extends students’ knowledge and skills beyond the linear GCSE and touches on some of the A Level Mathematics content.

 
Re-Sit GCSE

This course is for any students who are continuing to study in Year 12 but who did not achieve a Grade C in their GCSE Mathematics exam at the end of Year 11. Throughout the year, students will be revising the topics already studied for the GCSE Mathematics exam and learning any new content for the new GCSE exam. The vast majority of students will study the Foundation Tier.  Students who have already achieved a Grade D or Level 3, will be able to re-sit the exam in November. Any other students will re-sit the exam next June.

 

A Level Mathematics

Students who wish to study Mathematics beyond GCSE can apply to study A  Level Mathematics. Students will study Core Mathematics, Statistics

and Mechanics. To study at this level, students must achieve at least a grade 6 in their GCSE Mathematics.

 

 

A Level Further Mathematics
Students study both A Level Mathematics and then go on to study A Level Further Mathematics.  After studying the A-Level material students go on to study more Pure Mathematics as well as further Mechanics and Statistics. To study Further Mathematics, students must achieve at least a Level 7 at GCSE Mathematics.

 

Beyond Further Mathematics

Exceptional students are encouraged to apply to Oxbridge Universities and subsequently study for either the Oxford Mathematics Admissions test or STEP exams. Students also have the option to take an Advanced Extension Award in maths or study for further A-Level modules.

 

Year 7

Throughout the year, students will develop their knowledge, understanding and problem solving skills in the following areas:

  • Place value, the four rules with integers, BIDMAS, estimating and approximating, fractions, decimals and percentages, multiples and factors.
  • Time calculations, timetables, distance charts.
  • 2-D and 3-D Shapes, plans and elevations, drawing and measuring lines and angles, converting between units of measure.
  • Algebraic notation and simple algebraic manipulation, solving simple equations.
  • Coordinates, functions and graphs.
  • Data handling cycle, bar chart, pictograms and pie charts.

Year 8

Throughout the year, students will develop their knowledge, understanding and problem solving skills in the following areas:

  • Calculations involving positive and negative integers, decimals, fractions and percentages. Identifying special sets of numbers including factors, multiples, primes, squares and square roots, cube and cube roots. Venn Diagrams.
  • Understanding and using ratio.
  • Algebraic manipulation and solving equations. Sequences. Coordinates and linear graphs.
  • Drawing and measuring angles. Understanding and use of angle facts, scale drawings and bearings. Calculating perimeter and area of shapes. Properties of similar shapes. Enlargements. Pythagoras’ Theorem.
  • Collecting data. Statistical measures and using them to make comparisons.

Year 9

Throughout the year, students will develop their knowledge, understanding and problem solving skills in the following areas:

  • Calculations involving positive and negative integers, decimals, fractions and percentages. Identifying special sets of numbers including factors, multiples, primes, squares and square roots, cube and cube roots. Venn Diagrams. Standard Form.
  • Indices.
  • Basic Trigonometry. Properties of polygons. Transformations – reflections, rotations, translations, enlargements. Basic vectors.
  • Probability (including the use of Venn Diagrams)

Year 10

Throughout the year, students will develop their knowledge, understanding and problem solving skills in the following areas:

  • Surds, identifying and calculating with upper and lower bounds
  • Solving simultaneous equations graphically and algebraically, inequalities and regions on graphs, gradients and areas under graphs, function notation, composite functions and inverses, linear and non-linear graphs, trig graphs, transformations of graphs, solving simple trig equations,  iteration
  • Constructions and loci, proof on congruency, Pythagoras and trigonometry in 3-D, sine rule, cosine rule, area of a triangle trig rule, plans, elevations, area and volume
  • Probability, Scatter graphs, sampling

Year 11

Throughout the year, students will develop their knowledge, understanding and problem solving skills in the following areas:

  • Fractions – numerical and algebraic
  • Vectors and vector geometry
  • Transforming graphs
  • Algebraic proof

Much of the rest Year 11 will be spent revising, consolidating and extending students’ knowledge, skills and problem solving abilities as they work on past papers and practice papers. From these targets will be set so students can work on the areas that they need to improve on as individuals.

 

Year 10 / 11 Level 2 Further Mathematics

Students in sets 1 and 2 will also be working towards this GCSE qualification in addition to the linear GCSE Mathematics. Many of the topics overlap with the level 8 and 9 topics on the Linear GCSE.

Additional topics include:

  • Simple differentiation
  • Further work on the equation of a circle
  • Matrices
  • Graph Sketching
  • Further work on functions.

Year 12 Re-Sit GCSE Mathematics

During the year, students will cover topics that are in the new GCSE specification at Foundation level. This includes surds, trigonometry, quadratic sequences, simple vectors. Students will also, by setting targets based on the marking of past papers, spend time working on individual areas that they need to improve on in order to achieve at least a level 4.

 

A Level Mathematics

A level mathematics builds from GCSE level mathematics and introduces calculus and its applications. It emphasises how mathematical ideas are interconnected and how mathematics can be applied to model situations mathematically using algebra and other representations, to help make sense of data, to understand the physical world and to solve problems in a variety of contexts, including social sciences and business. It prepares students for further study and employment in a wide range of disciplines involving the use of mathematics.

 

Year 12

Students study pure maths topics such as Exponentials, Calculus, Vectors and Algebra. Alongside these students also study topics from both Mechanics and Statistics.

 

Year 13

Students extend their knowledge from year 12 at pure maths studying topics such as Further Calculus, Sequences, Trigonometry and Numerical Methods. The students also continue their studies into Mechanics and Statistics.

 

A Level Further Mathematics

Further Mathematics is a second qualification taken in addition to A Level Mathematics.  The qualification is both deeper and broader than A level mathematics. A level further mathematics builds from GCSE level and A level mathematics. As well as building on algebra and calculus introduced in A level mathematics, the A level further mathematics core content introduces complex numbers and matrices, fundamental mathematical ideas with wide applications in mathematics, engineering, physical sciences and computing. A level further mathematics prepares students for further study and employment in highly mathematical disciplines that require knowledge and understanding of sophisticated mathematical ideas and techniques.

    

Year 12

Students study pure content in year 12 consisting of  Complex Numbers, Matrices, Algebra and Functions, as well as this students will study applied content such as Mechanics and Statistics.

 

Year 13

In year 13 students extend their work from A-Level Mathematics introducing Further Calculus, Further Vectors and Polar Coordinates. They also study for further applied content.

 

Heads of Mathematics:

Joint HOD & responsibility for Year 11

Mr D. Kidman:

kidmand@ashlawn.org.uk

Joint HOD

Mrs P. Roebuck:

roebuckp@ashlawn.org.uk

Responsibility for GCSE Re-sit & Maths for Parents
​Miss J. Perrett: 

perrettj@ashlawn.org.uk

Responsibility for AS / A2 Mathematics
Miss L. Sheehan: 

sheehanl@ashlawn.org.uk

Responsibility for Years 8, 9 & 10 Mathematics
Mr S. Champney: 

champneys@ashlawn.org.uk

Responsibility for Year 7 Mathematics
Miss J. Etheridge: 

etheridgej@ashlawn.org.uk

Mathematics Teachers:

Miss L. Bliss: 

blissl@ashlawn.org.uk

Miss S. Carter: 

carters@ashlawn.org.uk

Mr R. Chadwick: 

chadwickr@ashlawn.org.uk

Mrs E. Cheney: 

cheneye@ashlawn.org.uk

Miss S. Cranmer: 

cranmers@ashlawn.org.uk

Mrs J Elliott

elliottj@ashlawn.org.uk

Ms. J. Evans 

evansj@ashlawn.org.uk

Mr C. Mcleish

mcleishc@ashlawn.org.uk

Mr J. Naylor: 

naylorj@ashlawn.org.uk

Mr I. Thomson: 

thomsoni@ashlawn.org.uk

Miss J. Casey: 

caseyj@ashlawn.org.uk

Mr B. Walker: 

walkerb@ashlawn.org.uk

Mathematics Support Staff:

Mr G. Gould: 

gouldg@ashlawn.org.uk

Mr R. Looney:

looneyr@ashlawn.org.uk