 T Convie (Head of GCSE and Alevel)
 N Glackin (Head of KS3)
 B Killen
 S Monan
 M McNamee
 C McHugh
 A Walsh
Mathematics Department
Mathematics is a subject that opens doors and provides opportunities: doors to employment and further/higher educational courses and opportunities to learn about the relevance of mathematics to everyday life.
Mathematics is all around us. It exists in the proportions of artistic works, in the scores of our favourite songs and in the physical structures we live and work in daily. It is also the bedrock of many other subjects including the Sciences, Economics and Engineering and is extremely relevant to subjects like Psychology and Design.
The study of mathematics can develop a host of skills that are essential to students continuing in their studies as well as those currently in or entering the workplace. These include problemsolving, logic and reasoning, and attention to detail. Mathematics can also lead to careers in finance, business, IT and teaching, among others.
The following topics are taught during years 8, 9 and 10. Assessments are conducted at Halloween, Christmas, March and End of Year.
The year 8 topics:
 Rounding Numbers
 Properties of Numbers
 Coordinates
 Fractions, Decimals & Percentages
 Negative Numbers
 Problem Solving 1
 Fractions
 Decimals
 Percentages
 Order of Operations – BIDMAS
 Using a Calculator
 Problem Solving 2
 Rules of Algebra
 Solving Equations
 Substitution into Formulae
 Direct Proportion
 Angles
 Pie Charts
 Problem Solving 3
 Perimeter, Area and Volume
 Straight Line Graphs
 Metric and Imperial Units
 Averages and Range
 Probability
 Problem Solving 4
 Rotational Symmetry
 3D Objects and Nets
The year 9 topics:
 Negative Numbers
 Sequences and Formulae
 Formulae and Expressions
 Pythagoras’ Theorem
 Properties of Numbers
 Problem Solving 1
 Rules of Algebra
 Solving Equations with Brackets
 Area
 Percentage Change
 Drawing Graphs
 Problem Solving 2
 Fractions
 Bearings and Scale Drawing
 Constructing Triangles
 The circle
 Volume
 Problem Solving 3
 Reflection
 Enlargement
 Rotation
 Translation
 Ratio and Proportion
 Averages
 Scatter Graphs & Line of Best Fit
 Problem Solving 4
 Probability
 Stem and Leaf Diagrams
 Calculations with Decimals
 Using a Calculator and BIDMAS
The year 10 topics:
 Rounding, Estimating, Upper and Lower bounds
 Money Matters
 Speed, Distance and Time
 Rules of Algebra
 Solving Equations
 Problem Solving 1
 Indices
 Averages
 Trigonometry
 Percentage change / Reverse percentages
 Area and Volume
 Changing the Subject
 Problem Solving 2
 Factorising
 Solving Quadratic Equations
 Fractions
 Simple Algebraic Fractions
 Standard Form
 Simultaneous Equations
 Problem Solving 3
 Compound Interest
 Relative Frequency
 Trial and Improvement
 Gradient and y=mx+c
 Angles in Polygons
 Inequalities
 Travel Graphs
 Problem Solving 4
After studying KS3 Mathematics, pupils are able to study GCSE Mathematics, developing into GCSE Further Mathematics, Alevel Mathematics and Alevel Further Mathematics.
All students study GCSE Mathematics. Each student will study two modules which best suit their ability. Currently, the following combinations are used:
Tier  Year 11 Module  Year 12 Module  Target grade 
Higher  M4(45%) 1 Paper 2 hours Calculator allowed  M8(55%) 2 Papers Paper 1 without calculator (1 hour 15 mins) Paper 2 calculator allowed (1 hour 15 mins)  A*A 
Higher  M3(45%) 1 Paper 2 hours Calculator allowed  M7(55%) 2 Papers Paper 1 without calculator (1 hour 15 mins) Paper 2 calculator allowed (1 hour 15 mins)  B 
Foundation  M2(45%) 1 Paper 1 hour 45 mins Calculator allowed  M6(55%) 2 Papers Paper 1 without calculator (1 hour 10 mins) Paper 2 calculator allowed (1 hour 10 mins)  C 
The content of each module relates to:
 number and algebra;
 geometry and measures; and
 statistics and probability.
Each module gives students opportunities to:
 develop their knowledge, skills and understanding of mathematical methods and concepts;
 acquire and use problemsolving strategies;
 select and apply mathematical techniques and methods in mathematical, everyday and realworld situations;
 reason mathematically, make deductions and inferences, and draw conclusions; and
 interpret and communicate mathematical information in a variety of forms.
It also gives students a sound basis for progression, including progression to further study of mathematics at AS/A2 level or to the world of work.
The modules all provide opportunities for students to develop and apply their mathematical skills to reallife contexts.
There is no coursework associated with GCSE Mathematics.
All modules in GCSE Mathematics are assessed through written examination papers, which are set and marked by CCEA.

Questions may require knowledge and use of problemsolving strategies. Each written paper includes structured questions, questions set in context and some questions requiring the unprompted solution of multistep problems.
Within all units there will be questions on the functional elements of mathematics. This means that students will need to show how they can apply mathematical skills to questions set in a wide range of contexts.
There will also be questions that assess quality of written communication (QWC). These QWC questions assess how students can express solutions in clear, concise, correct mathematical language, in words or in symbolic form.
More details on the individual modules, their respective topics and related guidance notes are available in the full specification on the CCEA website.
This GCSE Further Mathematics specification replaces the old Additional Mathematics specification and retains much of the same content. To study GCSE Further Mathematics you will ideally need to be studying ordinary GCSE Mathematics modules M4 and M8.
GCSE Further Mathematics involves studying mathematics at a level beyond GCSE Higher Tier. It can act as a stepping stone that gives students a sound basis for studying GCE Alevel Mathematics, introducing some of the mechanics and statistics topics that appear at AS/A2 level.
Further Mathematics can also help students progress to other studies that require mathematical knowledge and skills, for example higher level science, geography, technology or business.
The Further Mathematics specification consists of three units, and students must study all three.
In Unit 1: Pure Mathematics students investigate algebra, trigonometry, differentiation, integration, logarithms and matrices.
Unit 2: Mechanics includes exploring kinematics, vectors, forces, Newton’s Laws of Motion, friction and moments.
Unit 3: Statistics includes an understanding of statistical terminology, measures of central tendency, measures of dispersion, probability, and bivariate analysis.
Through these units students will have opportunities to:
 develop their mathematical knowledge, skills and understanding;
 select and apply mathematical techniques and methods in mathematical, everyday and realworld situations;
 reason mathematically, interpret and communicate mathematical information, make deductions and inferences, and draw conclusions; and
 design and develop mathematical models that allow them to use problem solving strategies and apply a broader range of mathematics to a variety of situations.
Each of the three GCSE Further Mathematics units is assessed through a written examination paper with the following weightings:
Unit 1: Pure Mathematics 50% 2 hour written paper
Unit 2: Mechanics 25% 1 hour written paper
Unit 3: Statistics 25% 1 hour written paper
The examination paper for each unit has a single questionandanswer booklet that includes a formula sheet.
There is no coursework associated with GCSE Further Mathematics.
More details on the individual modules, their respective topics and related guidance notes are available in the full specification on the CCEA website.
GCE Alevel Mathematics builds on the skills, knowledge and understanding that students have developed in their previous study of mathematics up to GCSE level. A study of GCSE Further Mathematics is beneficial but is not a requirement.
Students with a qualification in Alevel Mathematics have experienced success in further and higher education as well as careers in accountancy, finance, statistics, computer programming, engineering, medicine, psychology, dentistry and teaching among others.
Alevel Mathematics aims to develop and strengthen a range of knowledge and skills. Among these, the course aims to help students:
 develop their understanding of mathematics and mathematical processes;
 develop their reasoning skills and their ability to recognise incorrect reasoning;
 extend their mathematical skills and techniques for use in more difficult, unstructured problems;
 understand the coherence and progression in mathematics and how different areas of mathematics are connected; and
 become aware of the relevance of mathematics to other fields of study, the world of work and society in general.
Alevel Mathematics offers students two qualifications. These are:
Qualification  Modules  Year Studied  When Exams are Taken 
AS Mathematics AS  AS1 and AS2  Year 13  June of Year 13 
A2 Mathematics A2  A21 and A22  Year 14  June of year 14 
 Modules AS1 and A21 address Pure Mathematics
 Modules AS2 and A22 address Mechanics and Statistics
At AS level, students must complete two modules. To obtain the Advanced GCE qualification, students must complete four modules (two at AS plus an additional two at A2).
AS and A2 Mathematics Summary
Year  Module  Assessment  Weightings  Exam Details 
Year 13  AS 1 Pure Mathematics  External written exam
1 hour 45 mins 
60% of AS
24% of A level

610 Questions
100 raw marks Answer all Questions Calculator allowed 
Year 13  AS 2 Applied Mathematics
(50% Mechanics and 50% Statistics) 
External written exam
1 hour 15 mins 
40% of AS
16% of A level

510 Questions
70 raw marks Section A: Mechanics Section B: Statistics Answer all Questions Calculator allowed 
Year 14  A2 1 Pure Mathematics  External written exam
2 hours 30 mins 
36% of A level  712 Questions
150 raw marks Answer all Questions Calculator allowed 
Year 14  A2 2 Applied Mathematics
(50% Mechanics and 50% Statistics) 
External written exam
1 hour 30 mins 
24% of A level  610 Questions
100 raw marks Section A: Mechanics Section B: Statistics Answer all Questions Calculator allowed 
In A level Mathematics, synoptic assessment will be in place at A2. Synoptic assessment involves:
 Building on the materials from the AS units
 Bringing together and making connections between areas of knowledge, understanding and skills that have been explored throughout the course.
A module may be repeated only once.
A2 assessment units provide opportunities to demonstrate higher order thinking skills by incorporating more demanding unstructured questions.
AS  A ≥ 80  B 7079  C 6069  D 5059  E 4049  U < 40  
A2  A* ≥ 90  A ≥ 80  B 7079  C 6069  D 5059  E 4049  U < 40 
An A* cannot be achieved at AS level. The following uniform marks are used to determine grades.
Note, to obtain an A* at A2, a candidate must score at least an average of 80 uniform marks in all four modules and 90 uniform marks in the two A2 modules.