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INTRODUCTION

In line with the new structure of 21st Century Education System (SPN21), the Ministry of 

Education of Brunei Darussalam, in cooperation with the University of Cambridge International

Examinations (CIE), will be introducing a new secondary mathematics curriculum in 2010, that is,

the International General Certificate of Secondary Education (IGCSE) Mathematics Syllabus Code

0580 (without coursework).

The curriculum for IGCSE Mathematics consists of both the core and extended syllabus.

The Scheme of work for both core and extended curriculum were developed by the Scheme of 

Work Committee comprising of 12 secondary Mathematics teachers nationwide. The schemes of 

works (SOW) are outlined in accordance to those obtained from CIE, and these SOWs only serve

as a guideline for teachers who are going to teach IGCSE Mathematics for the years 2010 – 2012,

and by no means are they being set. This means that teachers can adjust the time frame

appropriate for their students’ pace and they can also make adjustment in the sequence of thetopics to suit them best. A recommendation for the division of topics can be found on page 5.

This Scheme of work is prepared for students who will follow the General Programme

Extended Curriculum (3 years) for 2010 – 2012, and aimed at Year 8 students who performed

averagely in Mathematics. Students who follow this Scheme of Work will sit for their exam in

November 2012.

This Scheme of Work focus on enhancing their previous knowledge as well as introducing

new topics such as Locus, Vectors, Probability, Congruency, Similarity, Symmetrical and Angle

Properties in a circle, Non – isometric Transformations, Scatter Graphs, Meaning of positive,

negative and zero correlation, etc. Therefore, this Scheme of work will enable them to have better 

understanding of the Mathematics concepts.

The suggested activities will make teachers’ teaching and students’ learning more related to

real life situation. These activities will also provide enough practice for students to apply their 

understanding of mathematics concepts as well as helping them to develop Mathematical skills

which will be very useful in everyday life. The suggested websites enable teachers to get extra

exposure besides the use of textbooks and reference books (see page 7).

Students will be sitting for two written papers: Paper 2 and Paper 4. Paper 2 consists of 

short - answer questions whereas Paper 4 consists of structured questions. Paper 2 contributes

35% of the total marks and Paper 4 contributes the remaining 65%. Students are eligible for the

award of grades A* to E.

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SYLLABUS AIMS for ICGSE MATHEMATICS (0580)

The aims of the extended curriculum are to enable the students to:

1. develop their mathematical knowledge and oral, written and practical skills in a waywhich encourages confidence and provides satisfaction and enjoyment;

2. read mathematics, and write and talk about the subject in a variety of ways;

3. develop a feel for number, carry out calculations and understand the significance of the results obtained;

4. apply mathematics in everyday situations and develop an understanding of the partwhich mathematics plays in the world around them;

5. solve problems, present the solutions clearly, check and interpret the results;

6. develop an understanding of mathematical principles;

7. recognize when and how a situation may be represented mathematically, identify andinterpret relevant factors and, where necessary, select an appropriate mathematicalmethod to solve the problem;

8. use mathematics as a means of communication with emphasis on the use of clear expression;

9. develop an ability to apply mathematics in other subjects, particularly science andtechnology;

10. develop the abilities to reason logically, to classify, to generalise and to prove;

11. appreciate patterns and relationships in mathematics;

12. produce and appreciate imaginative and creative work arising from mathematicalideas;

13. develop their mathematical abilities by considering problems and conducting individualand co-operative enquiry and experiment, including extended pieces of work of apractical and investigative kind;

14. appreciate the interdependence of different branches of mathematics;

15. acquire a foundation appropriate to their further study of mathematics and of other disciplines.

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ASSESSMENT OBJECTIVES for ICGSE MATHEMATICS (0580)

The syllabus has two assessment objectives:

1) Mathematical techniques

Students should be able to:• organise, interpret and present information accurately in written, tabular,graphical and diagrammatic forms;

• perform calculations by suitable methods;

• use an electronic calculator and also perform some straightforwardcalculations without a calculator;

• understand systems of measurement in everyday use and make use of themin the solution of problems;

• estimate, approximate and work to degrees of accuracy appropriate to the

context and convert between equivalent numerical forms;

• use mathematical and other instruments to measure and to draw to anacceptable degree of accuracy;

• interpret, transform and make appropriate use of mathematical statementsexpressed in words or symbols;

• recognise and use spatial relationships in two and three dimensions,particularly in solving problems;

• recall, apply and interpret mathematical knowledge in the context of everydaysituations.

2) Applying mathematical techniques to solve problems

Students should be able to:

• make logical deductions from given mathematical data;

• recognise patterns and structures in a variety of situations, and form generalisations;

• respond to a problem relating to a relatively unstructured situation by translating itinto an appropriately structured form;

•

analyse a problem, select a suitable strategy and apply an appropriate technique toobtain its solution;

• apply combinations of mathematical skills and techniques in problem solving;

• set out mathematical work, including the solution of problems, in a logical and clear form using appropriate symbols and terminology.

 

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ICGSE EXTENDED MATHEMATICS (0580) EXAMINATION & WEIGHTINGS

The grades available for extended curriculum are: A*, A, B, C, D and E

 The compositions of the papers are as follows:

Paper No. Paper 2 Paper 4

Duration of exam

1½ hours 2½ hours

No. of questions

About 20 to 22 questions About 9 to 10 questions

Type of questions

Short-answer questions Structured questions

Candidates should answer each question in the provided workingspace on question paper.

Total Marks 70 marks 130 marks

TotalWeighting

Weighting: 35% Weighting: 65%

The relationship between the assessment objectives and the scheme of assessment is as follows:

Paper 2 (marks) Paper 4 (marks)

Mathematical techniques 28–35 52–65

Applying mathematical techniques to solve problems 35–42 65–78

Extended Assessment

Mathematical techniques 40% – 50%

Applying mathematical techniques to solve problems 50% – 60%

The relationship between the main topic areas of Mathematics and the assessment is tabulatedbelow. The questions are set with reference to Assessment Objectives and are set across a rangeof grades.

The topics for the structured papers are set first. Balance is maintained across the four areas of Number, Algebra, Shape and Space and Statistics and Probability.

Number Algebra Space & Shape Statistics & Probability

Papers 2 & 4 15–20% 35-40% 30–35% 10–15%

Grading for Extended Curriculum of the IGCSE Mathematics

For grading purposes on examinations, however, a numerical scale is used, based on the student’sraw mark in the examination.

This can vary slightly from session to session but the table gives a general picture of where thegrade boundaries are set.

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Although there can be variations from session to session, these figures can be taken as a roughguide.

GRADES A* A B C D E

EXTENDED 85 70 – 75 60 45 35 25

An Example of a Rough Division of Topics for IGCSE Mathematics

Terms 1 and 2 of Year 9:

Number Algebra Shape and Space Handling Data

No. system, Powers roots,Reciprocals, Indices,Directed numbers, Fractions,Decimals, Standard Form,Percentages, Reverse %

Substitution,

Simplifyingexpressions,

Expand,Factorise

Geometrical terms,

Constructions,

Maps & ScaleDrawing,

Pythagoras Theorem

Collect, Classify &

Represent data,

Bar chart, Histogram,

Pie chart, Centraltendency, Range

Terms 3 and 4 of Year 9:

Number Algebra Shape and Space Handling Data

Sets, Rounding,

Estimating,

Limits of accuracy

Patterns & sequence,

Rearrange formulae,

Solve equations,

Algebraic Indices.

Congruency, Similarity,Symmetry,

Basic trigonometry,

Angle properties (polygons)

Basic probability,

Relativefrequency

Terms 1 and 2 of Year 10:

Number Algebra Shape and Space Handling Data

Ratios, Direct &Inverse Proportion,

Simple &Compound Interest

Algebraic fractions,

Simultaneousequations,

Quadratic equations

Sine & cosine rules

Area of triangle

Circle properties,

Arc length, sector area,

segments

Histograms with

unequal intervals,

Frequency density,

Estimate Median

Terms 3 and 4 of Year 10:

Number Algebra Shape and Space Handling DataPracticalgraphs

Functions, Linear graphs, Direct andinverse proportion

3-D trigonometry, Length,area, volume (nets of solids), Locus of points

Percentiles, Quartiles

Interquartile range,Probability, Tree diagrams

Terms 1 and 2 of Year 11:

Number Algebra Shape and Space Handling Data

Linear programming, Matrices, Vectors, Mean for grouped data,

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Quadratic cubic graphs,

Gradients and tangents

Transformations,

Matrix transformations

Identify modal class

Note that terms 3 and 4 of Year 11 is non-existent as the time should be devoted to

revision and sitting of the exams.

List of textbooks recommended for IGCSE Mathematics (0580)

1. Core Mathematics for IGCSEDavid Rayner 

2. Extended Mathematics for IGCSEDavid Rayner 

3. Mathematics: IGCSE (Cambridge International Examination)Karen Morrison

4. Cambridge IGCSE MathematicsPaul Metcalf 

5. Core Mathematics for IGCSEPimentel, R & Wall, T

6. IGCSE MathematicsPimentel, R & Wall, T

7. Longman Mathematics for IGCSE: Book 1 & 2D turner, I Potts, W Waite, and V Horny

8. Mathematics Revision Guide: IGCSE (Cambridge International Examinations)Martin Law

9. REVISE IGCSE MATHEMATICS: Complete Study and Revision GuidePatmore, Seager 

10. IGCSE Revision Guide for MathematicsBrian Seager 

 

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Pimentel and Wall Rayner Morrison Metcalf 

CIE – endorsed Textbooks:

CIE – endorsed Revision Guides:

Brian Seager Martin Law Patmore and Seager (editor)

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List of some useful websites for Mathematics teachers

www.cie.org.uk

http://teachers.cie.org.uk

http://www.learncie.org.uk

http://www.cambridgestudents.org.uk

www.mymaths.co.uk

http://www.emaths.co.uk/

http://www.waldomaths.com/

http://www.supermathsworld.com/

www.cimt.plymouth.ac.uk

http://lgfl.skoool.co.uk

www.bbc.co.uk/schools/gcsebitesize/maths

www.censusatschool.ntu.ac.uk

www.puzzles.com

http://nlvm.use.edu/en/nav/library.html

www.teachernet.gov.uk

www.mathsrevision.net

www.scottkim.comwww.puzzlemaker.com

www.risps.net

www.mathsnet.net

www.nrich.maths.org

www.colinseducation.com

www.topmarks.co.uk

www.algebasics.com

www.mathsisfun.com

http://gwrdir.demon.co.uk/jo/solid/index.htm

www.teachers.tv

www.s-cool.co.uk

www.skool.co.uk

http://www.standards.dfes.gov.uk/keystage3/respub/afl_ws

http://www.gcse.com

http://www.mathsonline.co.nz

http://www.revisioncentral.co.uk/gcse/maths

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http://www.pbs.org/teachers/mathline/concepts/moremathconcepts.shtm

http://homepage.ntlworld.com/jontreby/Personal/mathsLinks.htm#Investigations

http://www.ex.ac.uk/cimt/welcome.html

http://www.ex.ac.uk/cimt/mep/index.htm

http://matti.usu.edu/nlvm/nav/vlibrary.html

RESOURCES:

www.cie.org.uk

CIE main site

CIE Teachers Support website

CIE Learn website

CIE Cambridge Students website

BBC-GCSE bitesize-Maths

Maths Enhancement Program

IGCSE Maths Training Workshop

IGCSE Maths 2011 Syllabus

GCSE MATHEMATICS SCHEME OF WORK COMMITTEE (2009)

No. Name School

1. Ang Him To SM Menglait, Gadong

2. Hjh Marinah Hj Tengah Maktab SOAS

3. Hjh Suraizawati Hj Samat SMJA

4. Rianiza Ivanty Hj Momin STPRI

5. Siti Fatinah Zuhairah Hj Ismail SM Sayyidina Abu Bakar  

6. Mohd Shardy Narudin SMPDSM, Menteri

7. Sia Ai Kim SM Sayyidina Hassan

8. Rina Ajak SM Menglait, Gadong

9. Maswardy Masle SM Muda Hashim

10. Md Josseryn Hj Mohsin SM RIPAS

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11. Azraie Hj Akop SM Tanjong Maya

12. Abd Nafri Hj Hussin SM Sultan Sharif Ali

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