Sample chapters for download

Graphics calculator instructions
4. Pythagoras' theorem
11. Probability
14. Relations, functions and sequences
18. Advanced trigonometry
22. Introduction to calculus

NB: Sample chapters do not have working links.

About the book

This is the second of two books to choose from for the Pre-Diploma Grade/Year: this book (MYP 5 Plus – second edition) aims to cover the Presumed Knowledge required for ‘Mathematics SL’ and/or ‘Mathematics HL’ at Diploma level; its companion (MYP 5) aims to cover the Presumed Knowledge required for ‘Mathematical Studies SL’ at Diploma level.

Pre-Diploma SL and HL (MYP 5 Plus) second edition is our interpretation of the Presumed Knowledge required for the IB Diploma courses ‘Mathematics SL’ and ‘Mathematics HL’. It is not our intention to define the PK and we encourage teachers to use a variety of resources. The text is not endorsed by the International Baccalaureate Organization (IBO). We have developed the book independently of the IBO with advice from several experienced teachers of IB Mathematics.

This book may also be used as a general textbook at about Grade 10 level in schools where students are expected to complete a rigorous course in preparation for the study of mathematics at a high level in their final two years of high school.

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

The complete middle years series comprises:

• Mathematics for the international student 6 (MYP 1)
• Mathematics for the international student 7 (MYP 2)
• Mathematics for the international student 8 (MYP 3)
• Mathematics for the international student 9 (MYP 4)
• Pre-Diploma Studies (MYP 5): Presumed Knowledge for Studies SL
• Pre-Diploma SL and HL (MYP 5 Plus) second edition: Presumed Knowledge for SL & HL

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.

Other features include:

• Areas of interaction links to printable pages
• printable chapters for review and extension
• graphing and geometry software
• printable instructions for TI and Casio graphics calculators
• computer demonstrations and simulations
• statistics packages
• video clips

For a complete list of all the active links on the MYP 5 Plus second edition 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 CD is ideal for independent study.

Students can revisit concepts taught in class and undertake their own revision and practice. The CD also has the text of the book, allowing students to leave the textbook at school and keep the CD at home.

By clicking on the relevant icon, a range of new interactive features can be accessed:

• Self Tutor
• Areas of Interaction links to printable pages
• Printable Chapters
• Interactive Links – to spreadsheets, video clips, graphing and geometry software, graphics calculator instructions, computer demonstrations and simulations

SELF TUTOR is a new 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.

Areas of interaction

The International Baccalaureate Middle Years Programme focuses teaching and learning through five areas of interaction:

• Approaches to learning
• Community and service
• Human ingenuity
• Environments
• Health and social education

The Areas of Interaction are intended as a focus for developing connections between different subject areas in the curriculum and to promote an understanding of the interrelatedness of different branches of knowledge and the coherence of knowledge as a whole.

In an effort to assist busy teachers, we offer the following printable pages of ideas for projects and investigations:

Foreword

Pre-Diploma SL and HL (MYP 5 Plus) second edition is an attempt to cover, in one volume, the Presumed Knowledge required for the IB Diploma courses ‘Mathematics SL’ and ‘Mathematics HL’. It may also be used as a general textbook at about 10^th Grade level in classes where students complete a rigorous course in preparation for the study of mathematics at a high level in their final two years of high school.

Feedback from teachers using the first edition suggested that while it provided satisfactory preparation for prospective Mathematics SL students, several sections needed to be more rigorous to prepare students thoroughly for Mathematics HL. The first edition has been revised throughout and the highlighted topics in the table of contents show at a glance the main areas that have been substantially revised and extended.

In terms of the IB Middle Years Programme (MYP), this book does not pretend to be a definitive course. In response to requests from teachers who use ‘Mathematics for the International Student’ at Diploma level, we have endeavoured to interpret their requirements, as expressed to us, for a book that would prepare students for Mathematics SL and Mathematics HL. We have developed the book independently of the International Baccalaureate Organization (IBO) in consultation with experienced teachers of IB Mathematics. The text is not endorsed by the IBO.

It is not our intention that each chapter be worked through in full. Teachers must select exercises carefully, according to the abilities and prior knowledge of their students, to make the most efficient use of time and give as thorough coverage of content as possible.

Three additional chapters appear on the CD as printable pages:

• Chapter 23: Counting and probablity
• Chapter 24: Locus
• Chapter 25: Networks

These chapters were selected because the content could be regarded as extension beyond what might be regarded as an essential prerequisite for IB Diploma mathematics.

We understand the emphasis that the IB MYP places on the five Areas of Interaction and in response there are links on the CD to printable pages which offer ideas for projects and investigations to help busy teachers (see p. 5).

Frequent use of the interactive features on the CD should nurture a much deeper understanding and appreciation of mathematical concepts. The inclusion of our new software (see p. 4) is intended to help students who have been absent from classes or who experience difficulty understanding the material.

The book contains many problems to cater for a range of student abilities and interests, and efforts have been made to contextualise problems so that students can see everyday uses and practical applications of the mathematics they are studying.

We welcome your feedback.