Sample chapters for download

Graphics calculator instructions
8. The theorem of Pythagoras
20. Transformation geometry
25. Probability
29. Further trigonometry
34. Investigations and modelling questions

NB: Sample chapters do not have working links.

About the book

• for use with the IGCSE Cambridge International Mathematics (0607) syllabus (for more information about the syllabus, check the Cambridge IGCSE International Mathematics webpage)
• may also be used for pre-IB Diploma requirements and other middle years courses
• one book for a two-year course
• includes chapters on ‘Multi-Topic Questions’ and ‘Investigations and Modelling’
• graphics calculator instructions included at the beginning of the book
• plenty of worked examples with step-by step instructions with
• answers for every question and a detailed index
• includes exam questions from past papers considered relevant to the 0607 curriculum (although not necessarily representative of the new exam papers)

The book embraces technology, problem solving, investigating and modelling, and offers students different learning experiences.

A URL may be made available so that teachers can preview the content - email ray@haeseandharris.com.au.

About the accompanying CD

A feature of the accompanying CD is our new ‘self-tutoring’ software where a teacher’s voice explains each step in every worked example in the book. Click anywhere on any worked example where you see the icon to activate the self-tutoring software.

For a complete list of all the active links on the CD, click here.

The CD is ideal for independent study and revision. It also contains the full text of the book so that if students load it onto a home computer, they can keep the textbook at school and access the CD at home.

Table of contents

Using the interactive CD

The interactive Student CD that comes with this book is designed for those who want to utilise technology in teaching and learning Mathematics.

The CD icon that appears throughout the book denotes an active link on the CD. Simply click on the icon when running the CD to access a large range of interactive features that includes:

• spreadsheets
• printable worksheets
• graphing packages
• geometry software
• demonstrations
• simulations
• printable chapters
• SELF TUTOR

For those who want to ensure that they have the prerequisite levels of understanding for this new course, printable chapters of assumed knowledge are provided for Number (see p. 29) and Geometry and Graphs (see p. 30).

SELF TUTOR is an exciting feature of this book.

The icon on each worked example denotes an active link on the CD.

Simply ‘click’ on the (or anywhere in the example box) to access the worked example, with a teacher’s voice explaining each step necessary to reach the answer.

Play any line as often as you like. See how the basic processes come alive using movement and colour on the screen.

Ideal for students who have missed lessons or need extra help.

Graphics calculators

The course assumes that each student will have a graphics calculator. An introductory section ‘Graphics calculator instructions’ appears on p. 11. To help get students started, the section includes some basic instructions for the Texas Instruments TI-84 Plus and the Casio fx-9860G calculators.

Foreword

This book has been written to cover the ‘IGCSE Cambridge International Mathematics (0607) Extended’ course over a two-year period.

The new course was developed by University of Cambridge International Examinations (CIE) in consultation with teachers in international schools around the world. It has been designed for schools that want their mathematics teaching to focus more on investigations and modelling, and to utilise the powerful technology of graphics calculators.

The course springs from the principles that students should develop a good foundation of mathematical skills and that they should learn to develop strategies for solving open-ended problems. It aims to promote a positive attitude towards Mathematics and a confidence that leads to further enquiry. Some of the schools consulted by CIE were IB schools and as a result, Cambridge International Mathematics integrates exceptionally well with the approach to the teaching of Mathematics in IB schools.

This book is an attempt to cover, in one volume, the content outlined in the Cambridge International Mathematics (0607) syllabus. References to the syllabus are made throughout but the book can be used as a full course in its own right, as a preparation for GCE Advanced Level Mathematics or IB Diploma Mathematics, for example. The book has been endorsed by CIE but it has been developed independently of the Independent Baccalaureate Organization and is not connected with, or endorsed by, the IBO.

To reflect the principles on which the new course is based, we have attempted to produce a book and CD package that embraces technology, problem solving, investigating and modelling, in order to give students different learning experiences. There are non-calculator sections as well as traditional areas of mathematics, especially algebra. An introductory section ‘Graphics calculator instructions’ appears on p. 11. It is intended as a basic reference to help students who may be unfamiliar with graphics calculators. Two chapters of ‘assumed knowledge’ are accessible from the CD: ‘Number’ and ‘Geometry and graphs’ (see pp. 29 and 30). They can be printed for those who want to ensure that they have the prerequisite levels of understanding for the course. To reflect one of the main aims of the new course, the last two chapters in the book are devoted to multi-topic questions, and investigations and modelling. Review exercises appear at the end of each chapter with some ‘Challenge’ questions for the more able student. Answers are given at the end of the book, followed by an index.

The interactive CD contains software (see p. 5), geometry and graphics software, demonstrations and simulations, and the two printable chapters on assumed knowledge. The CD also contains the text of the book so that students can load it on a home computer and keep the textbook at school.

The Cambridge International Mathematics examinations are in the form of three papers: one a non-calculator paper, another requiring the use of a graphics calculator, and a third paper containing an investigation and a modelling question. All of these aspects of examining are addressed in the book.

The book can be used as a scheme of work but it is expected that the teacher will choose the order of topics. There are a few occasions where a question in an exercise may require something done later in the book but this has been kept to a minimum. Exercises in the book range from routine practice and consolidation of basic skills, to problem solving exercises that are quite demanding.

In this changing world of mathematics education, we believe that the contextual approach shown in this book, with the associated use of technology, will enhance the students' understanding, knowledge and appreciation of mathematics, and its universal application.