Sample chapters for download

Graphics calculator instructions
10. Statistics
23. Finance

NB: Sample chapters do not have working links.

About the book

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

Pre-Diploma Studies SL (MYP 5) is our interpretation of the Presumed Knowledge required for the IB Diploma course ‘Mathematical Studies’. 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 might be expected to embark on an ‘Applications’ type of Mathematics course in their final two years of high school.

A URL may be made available so that teachers can preview the content – email hannah@haesemathematics.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
• computer demonstrations and simulations
• statistics packages
• video clips

For a complete list of all the active links on the MYP 5 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 Studies SL (MYP 5) is an attempt to cover, in one volume, the Presumed Knowledge required for the IB Diploma course “Mathematical Studies SL” as well as including some extension topics. It may also be used as a general textbook at about Grade 10 level in classes where students might be expected to embark on an “Applications” type of Mathematics course in their final two years of high school.

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 Mathematical Studies SL at Diploma level. 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. Time constraints may not allow for this. 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.

To avoid producing a book that would be too bulky for students, we have presented these chapters on the CD as printable pages:

• Chapter 25: Transformation geometry
• Chapter 26: Sine and cosine rules

The above were selected because the content could be regarded as extension beyond what might be regarded as an essential prerequisite for Diploma.

This package is language rich and technology rich. We hope the combination of textbook and interactive Student CD will foster the mathematical development of students in a stimulating way. 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. 5) is intended to help students who have been absent from classes or who experience difficulty understanding the material.

The book contains many problems from the basic to the advanced, to cater for a range of student abilities and interests. While some of the exercises are simply designed to build skills, every effort has been made to contextualise problems, so that students can see everyday uses and practical applications of the mathematics they are studying, and appreciate the universality of 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. 8).

The interactive CD also allows immediate access to our own specially designed geometry packages, graphing packages and more.

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.

We welcome your feedback.