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                                   MINISTRY OF EDUCATION MALAYSIA




                                 Integrated Curriculum for Secondary Schools

                                                 SYLLABUS


                                        ADDITIONAL
                                       MATHEMATICS
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                                          Curriculum Development Centre
                                          Ministry of Education Malaysia
                                                         2006
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PREFACE                                                                                       English, coupled with the use of ICT, provide greater opportunities for
                                                                                              pupils to improve their knowledge and skills in mathematics because of
Science and technology plays a critical role in realising Malaysia’s                          the richness of resources and repositories of knowledge in English. Our
aspiration to become a developed nation. Since mathematics is                                 pupils will be able to interact with pupils from other countries, improve
instrumental in the development of scientific and technological                               their proficiency in English; and thus make the learning of mathematics
knowledge, the provision of quality mathematics education from an early                       more interesting and exciting.
age in the education process is thus important. The Malaysian school
curriculum offers three mathematics education programs, namely                                The development of this Additional Mathematics syllabus is the work of
Mathematics for primary schools, Mathematics and Additional                                   many individuals and experts in the field. On behalf of the Curriculum
Mathematics for secondary schools.                                                            Development Centre, I would like to express much gratitude and
                                                                                              appreciation to those who have contributed in one way or another towards
The Malaysian school mathematics curriculum aims to develop                                   this initiative.
mathematical knowledge, competency and inculcate positive attitudes
towards mathematics among pupils. While the Mathematics curriculum
prepares pupils to cope with daily life challenges, the Additional
Mathematics curriculum provides an exposure to the level of mathematics
appropriate for science and technology related careers. As with other
subjects in the secondary school curriculum, Additional Mathematics aims
to inculcate noble values and love for the nation in the development of a
                                                             http://mathsmozac.blogspot.com

holistic person, who in turn will be able to contribute to the harmony and
prosperity of the nation and its people.                                                      ( MAHZAN BIN BAKAR           SMP, AMP)

                                                                                              Director
Additional Mathematics is an elective subject offered to the upper
                                                                                              Curriculum Development Centre
secondary school pupils. Beginning 2003, English is used as the medium
                                                                                              Ministry of Education
of instruction for Science and Mathematics subjects. The policy to change
                                                                                              Malaysia
the medium of instruction for the two subjects follows a phased
implementation schedule and is expected to be completed by 2008. The
teaching and learning of Additional Mathematics in English started in
2006.

The use of technology in the teaching and learning of Additional
Mathematics is greatly emphasised. Additional Mathematics taught in
http://sahatmozac.blogspot.com
                       RUKUNEGARA
                          DECLARATION

OUR NATION, MALAYSIA, being dedicated

•   to achieving a greater unity of all her peoples;
•   to maintaining a democratic way of life;
•   to creating a just society in which the wealth of the nation                           Education in Malaysia is an ongoing effort
    shall be equitably shared;                                                             towards further developing the potential of
•   to ensuring a liberal approach to her rich and diverse                                    individuals in a holistic and integrated
    cultural traditions;                                                                  manner so as to produce individuals who are
•   to building a progressive society which shall be oriented                               intellectual y, spiritually, emotional y and
    to modern science and technology;                                                     physically balanced and harmonious, based
                                                         http://mathsmozac.blogspot.com

WE, her peoples, pledge our united efforts to attain these                                   on a firm belief in God. Such an effort is
ends guided by these principles:                                                          designed to produce Malaysian citizens who
•   BELIEF IN GOD                                                                           are knowledgeable and competent, who
•   LOYALTY TO KING AND COUNTRY
                                                                                          possess high moral standards, and who are
                                                                                          responsible and capable of achieving a high
•   UPHOLDING THE CONSTITUTION
                                                                                          level of personal well-being as wel as being
•   RULE OF LAW
                                                                                            able to contribute to the betterment of the
•   GOOD BEHAVIOUR AND MORALITY                                                             family, the society and the nation at large.
http://sahatmozac.blogspot.com
INTRODUCTION                                                                                            through mathematics are also stressed in the process of learning Additional
                                                                                                        Mathematics. When pupils explain concepts and their work, they are
A well-informed and knowledgeable society, well versed in the use of                                    guided in the use of correct and precise mathematical terms and sentences.
Mathematics to cope with daily life challenges is integral to realising the                             Emphasis on Mathematical communications develops pupils’ ability in
nation’s aspiration to become an industrialised nation. Thus, efforts are                               interpreting matters into mathematical modellings or vice versa.
taken to ensure a society that assimilates mathematics into their daily lives.
                                                                                                        The use of technology especially, Information and Communication
Pupils are nurtured from an early age with the skills to solve problems and
communicate mathematically, to enable them to make effective decisions.                                 Technology (ICT) is much encouraged in the teaching and learning
                                                                                                        process. Pupils’ understanding of concepts can be enhanced as visual
Mathematics is essential in preparing a workforce capable of meeting the                                stimuli are provided and complex calculations are made easier with the use
demands of a progressive nation. As such, this field assumes its role as the                            of calculators.
driving force behind various developments in science and technology. In
line with the nation’s objective to create a knowledge-based economy, the                               Project work, compalsory in Additional Mathematics provides
                                                                                                        opportunities for pupils to apply the knowledge and skills learned in the
skills of Research & Development in mathematics is nurtured and
developed at school level.                                                                              classroom into real-life situations. Project work carried out by pupils
                                                                                                        includes exploration of mathematical problems, which activates their
Additional Mathematics is an elective subject in secondary schools, which                               minds, makes the learning of mathematics more meaningful, and enables
caters to the needs of pupils who are inclined towards Science and                                      pupils to apply mathematical concepts and skills, and further develops
Technology. Thus, the content of the curriculum has been organised to                                   their communication skills.
                                                                       http://mathsmozac.blogspot.com

achieve this objective.
                                                                                                        The intrinsic values of mathematics namely thinking systematically,
The design of the Additional Mathematics syllabus takes into account the                                accurately, thoroughly, diligently and with confidence, infused throughout
contents of the Mathematics curriculum. New areas of mathematics                                        the teaching and learning process; contribute to the moulding of character
introduced in the Additional Mathematics curriculum are in keeping with                                 and the inculcation of positive attitudes towards mathematics. Together
new developments in Mathematics. Emphasis is placed on the heuristics of                                with these, moral values are also introduced in context throughout the
problem solving in the process of teaching and learning to enable pupils to                             teaching and learning of mathematics.
gain the ability and confidence to use mathematics in new and different
situations.
                                                                                                        Assessment, in the form of tests and examinations helps to gauge pupils’
                                                                                                        achievement. Assessments in Additional Mathematics include aspects such
The Additional Mathematics syllabus emphasises understanding of                                         as understanding of concepts, mastery of skills and non-routine questions
concepts and mastery of related skills with problem solving as the main                                 that demand the application of problem-solving strategies. The use of good
focus in the teaching and learning process. Skills of communication                                     assessment data from a variety of sources provides valuable information
http://sahatmozac.blogspot.com
on the development and progress of pupils. On-going assessment built into                           6          use the knowledge and skills of Mathematics to interpret and solve
the daily lessons allows the identification of pupils’ strengths and                                           real-life problems,
weaknesses, and effectiveness of the instructional activities.          Information
gained from responses to questions, group work results, and homework                                7          debate solutions using precise mathematical language,
helps in improving the teaching process, and hence enables the provision
of effectively aimed lessons.                                                                       8    relate mathematical ideas to the needs and activities of human
                                                                                                               beings,
AIM
                                                                                                    9          use hardware and software to explore mathematics, and
The Additional Mathematics curriculum for secondary schools aims to
develop pupils with in-depth mathematical knowledge and ability, so that                            10     practise intrinsic mathematical values.
they are able to use mathematics responsibly and effectively in
communications and problem solving, and are prepared to pursue further
studies and embark on science and technology related careers.                                       CURRICULUM ORGANISATION

                                                                                                    The contents of the Additional Mathematics curriculum are organised into
OBJECTIVES                                                                                          two learning packages. They are the                       Core Package and the    Elective
                                                                                                    Package.
The Additional Mathematics curriculum enables pupils to:
                                                                                                    The Core Package, which is compulsory for all pupils comprises of five
                                                                   http://mathsmozac.blogspot.com

1       widen their ability in the fields of number, shape and relationship                         components namely:
        as well as to gain knowledge in calculus, vector and linear                                    •   Geometry
    programming,                                                                                       •   Algebra
                                                                                                       •   Calculus
2    enhance         problem-solving   skills,
                                                                                                       •   Trigonometry
                                                                                                       •   Statistics
3       develop the ability to think critically, creatively and to reason out
        logically,                                                                                  The Elective Package consists of two application packages:
4    make inference and reasonable generalisation from given
       information,                                                                                        •      Science and Technology Application
                                                                                                           •      Social Science Application
5       relate the learning of Mathematics to daily activities and careers,

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Add maths syllabus

  • 1. http://sahatmozac.blogspot.com MINISTRY OF EDUCATION MALAYSIA Integrated Curriculum for Secondary Schools SYLLABUS ADDITIONAL MATHEMATICS http://mathsmozac.blogspot.com Curriculum Development Centre Ministry of Education Malaysia 2006
  • 2. http://sahatmozac.blogspot.com PREFACE English, coupled with the use of ICT, provide greater opportunities for pupils to improve their knowledge and skills in mathematics because of Science and technology plays a critical role in realising Malaysia’s the richness of resources and repositories of knowledge in English. Our aspiration to become a developed nation. Since mathematics is pupils will be able to interact with pupils from other countries, improve instrumental in the development of scientific and technological their proficiency in English; and thus make the learning of mathematics knowledge, the provision of quality mathematics education from an early more interesting and exciting. age in the education process is thus important. The Malaysian school curriculum offers three mathematics education programs, namely The development of this Additional Mathematics syllabus is the work of Mathematics for primary schools, Mathematics and Additional many individuals and experts in the field. On behalf of the Curriculum Mathematics for secondary schools. Development Centre, I would like to express much gratitude and appreciation to those who have contributed in one way or another towards The Malaysian school mathematics curriculum aims to develop this initiative. mathematical knowledge, competency and inculcate positive attitudes towards mathematics among pupils. While the Mathematics curriculum prepares pupils to cope with daily life challenges, the Additional Mathematics curriculum provides an exposure to the level of mathematics appropriate for science and technology related careers. As with other subjects in the secondary school curriculum, Additional Mathematics aims to inculcate noble values and love for the nation in the development of a http://mathsmozac.blogspot.com holistic person, who in turn will be able to contribute to the harmony and prosperity of the nation and its people. ( MAHZAN BIN BAKAR SMP, AMP) Director Additional Mathematics is an elective subject offered to the upper Curriculum Development Centre secondary school pupils. Beginning 2003, English is used as the medium Ministry of Education of instruction for Science and Mathematics subjects. The policy to change Malaysia the medium of instruction for the two subjects follows a phased implementation schedule and is expected to be completed by 2008. The teaching and learning of Additional Mathematics in English started in 2006. The use of technology in the teaching and learning of Additional Mathematics is greatly emphasised. Additional Mathematics taught in
  • 3. http://sahatmozac.blogspot.com RUKUNEGARA DECLARATION OUR NATION, MALAYSIA, being dedicated • to achieving a greater unity of all her peoples; • to maintaining a democratic way of life; • to creating a just society in which the wealth of the nation Education in Malaysia is an ongoing effort shall be equitably shared; towards further developing the potential of • to ensuring a liberal approach to her rich and diverse individuals in a holistic and integrated cultural traditions; manner so as to produce individuals who are • to building a progressive society which shall be oriented intellectual y, spiritually, emotional y and to modern science and technology; physically balanced and harmonious, based http://mathsmozac.blogspot.com WE, her peoples, pledge our united efforts to attain these on a firm belief in God. Such an effort is ends guided by these principles: designed to produce Malaysian citizens who • BELIEF IN GOD are knowledgeable and competent, who • LOYALTY TO KING AND COUNTRY possess high moral standards, and who are responsible and capable of achieving a high • UPHOLDING THE CONSTITUTION level of personal well-being as wel as being • RULE OF LAW able to contribute to the betterment of the • GOOD BEHAVIOUR AND MORALITY family, the society and the nation at large.
  • 4. http://sahatmozac.blogspot.com INTRODUCTION through mathematics are also stressed in the process of learning Additional Mathematics. When pupils explain concepts and their work, they are A well-informed and knowledgeable society, well versed in the use of guided in the use of correct and precise mathematical terms and sentences. Mathematics to cope with daily life challenges is integral to realising the Emphasis on Mathematical communications develops pupils’ ability in nation’s aspiration to become an industrialised nation. Thus, efforts are interpreting matters into mathematical modellings or vice versa. taken to ensure a society that assimilates mathematics into their daily lives. The use of technology especially, Information and Communication Pupils are nurtured from an early age with the skills to solve problems and communicate mathematically, to enable them to make effective decisions. Technology (ICT) is much encouraged in the teaching and learning process. Pupils’ understanding of concepts can be enhanced as visual Mathematics is essential in preparing a workforce capable of meeting the stimuli are provided and complex calculations are made easier with the use demands of a progressive nation. As such, this field assumes its role as the of calculators. driving force behind various developments in science and technology. In line with the nation’s objective to create a knowledge-based economy, the Project work, compalsory in Additional Mathematics provides opportunities for pupils to apply the knowledge and skills learned in the skills of Research & Development in mathematics is nurtured and developed at school level. classroom into real-life situations. Project work carried out by pupils includes exploration of mathematical problems, which activates their Additional Mathematics is an elective subject in secondary schools, which minds, makes the learning of mathematics more meaningful, and enables caters to the needs of pupils who are inclined towards Science and pupils to apply mathematical concepts and skills, and further develops Technology. Thus, the content of the curriculum has been organised to their communication skills. http://mathsmozac.blogspot.com achieve this objective. The intrinsic values of mathematics namely thinking systematically, The design of the Additional Mathematics syllabus takes into account the accurately, thoroughly, diligently and with confidence, infused throughout contents of the Mathematics curriculum. New areas of mathematics the teaching and learning process; contribute to the moulding of character introduced in the Additional Mathematics curriculum are in keeping with and the inculcation of positive attitudes towards mathematics. Together new developments in Mathematics. Emphasis is placed on the heuristics of with these, moral values are also introduced in context throughout the problem solving in the process of teaching and learning to enable pupils to teaching and learning of mathematics. gain the ability and confidence to use mathematics in new and different situations. Assessment, in the form of tests and examinations helps to gauge pupils’ achievement. Assessments in Additional Mathematics include aspects such The Additional Mathematics syllabus emphasises understanding of as understanding of concepts, mastery of skills and non-routine questions concepts and mastery of related skills with problem solving as the main that demand the application of problem-solving strategies. The use of good focus in the teaching and learning process. Skills of communication assessment data from a variety of sources provides valuable information
  • 5. http://sahatmozac.blogspot.com on the development and progress of pupils. On-going assessment built into 6 use the knowledge and skills of Mathematics to interpret and solve the daily lessons allows the identification of pupils’ strengths and real-life problems, weaknesses, and effectiveness of the instructional activities. Information gained from responses to questions, group work results, and homework 7 debate solutions using precise mathematical language, helps in improving the teaching process, and hence enables the provision of effectively aimed lessons. 8 relate mathematical ideas to the needs and activities of human beings, AIM 9 use hardware and software to explore mathematics, and The Additional Mathematics curriculum for secondary schools aims to develop pupils with in-depth mathematical knowledge and ability, so that 10 practise intrinsic mathematical values. they are able to use mathematics responsibly and effectively in communications and problem solving, and are prepared to pursue further studies and embark on science and technology related careers. CURRICULUM ORGANISATION The contents of the Additional Mathematics curriculum are organised into OBJECTIVES two learning packages. They are the Core Package and the Elective Package. The Additional Mathematics curriculum enables pupils to: The Core Package, which is compulsory for all pupils comprises of five http://mathsmozac.blogspot.com 1 widen their ability in the fields of number, shape and relationship components namely: as well as to gain knowledge in calculus, vector and linear • Geometry programming, • Algebra • Calculus 2 enhance problem-solving skills, • Trigonometry • Statistics 3 develop the ability to think critically, creatively and to reason out logically, The Elective Package consists of two application packages: 4 make inference and reasonable generalisation from given information, • Science and Technology Application • Social Science Application 5 relate the learning of Mathematics to daily activities and careers,