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With new SELF TUTOR CD

The CD has our new ‘self-tutoring’ software. For every worked example in this book, a student can listen to a teacher’s voice explain each step in the worked example – ‘click’ anywhere in the worked example where you see the SELF TUTOR icon.

INFINITY Test and Homework Generator

INFINITY Test and Homework Generator is available for this publication. For more information, click here.

Book Information

Series:

Mathematics for the International Student

Title:

Mathematics for the International Student 6 (MYP 1)

Price:

Australia: AU$51.15 (inc. GST)
Overseas: AU$46.50 (ex. GST)

Authors:

Pamela Vollmar
Michael Haese
Robert Haese
Sandra Haese
Mark Humphries

Year Published:

2008

ISBN-13:

978-1-876543-47-1

Extent:

500 pages

Availability:

Available now

Order form

IB order form

Sample chapters for download

1. Number systems
6. Fractions
9. Decimals
10. Problem solving
14. Percentage
15. Time and temperature
22. Transformations

NB: Sample chapters do not have working links.

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To view the sample chapters you must have Adobe Reader installed.

About the book

This is the first book in our new Middle Years series for international schools (for use with MYP 1, approx. Grade/Year 6).

This book may also be used as a general textbook at about Grade 6 level in schools where students are expected to complete a rigorous course in mathematics.

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

The complete series comprises:

About the accompanying Interactive Student 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 SELF TUTOR icon to activate the self-tutoring software.

Other features include:

For a complete list of all the active links on the MYP 1 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

1 Number systems 9
  A Different number systems 10
  B The Hindu-Arabic system 17
  C Big numbers 20
    Review set 1A 23
    Review set 1B 24
       
2 Operations with whole numbers 25
  A Adding and subtracting whole numbers 26
  B Multiplying and dividing whole numbers 28
  C Two step problem solving 32
  D Number lines 34
  E Rounding numbers 35
  F Estimation and approximation 40
    Review set 2A 44
    Review set 2B 45
       
3 Points, lines and angles 47
  A Points and lines 48
  B Angles 52
  C Angles at a point or on a line 57
  D Angles of a triangle 59
  E Angles of a quadrilateral 61
  F Bisecting angles 62
    Review set 3A 64
    Review set 3B 65
       
4 Location 67
  A Map references 69
  B Number grids 71
  C Interpreting points on a grid 75
  D Bearings and directions 77
    Review set 4A 82
    Review set 4B 83
       
5 Number properties 85
  A Addition and subtraction 86
  B Multiplication and division 88
  C Zero and one 90
  D Index or exponent notation 91
  E Order of operations 92
  F Powers with base 10 95
  G Squares and cubes 96
  H Factors of natural numbers 98
  I Divisibility tests 99
  J Prime and composite numbers 100
  K Multiples and LCM 102
    Review set 5A 104
    Review set 5B 105
       
6 Fractions 107
  A Representing fractions 110
  B Fractions of regular shapes 112
  C Equal fractions 113
  D Simplifying fractions 115
  E Fractions of quantities 117
  F Comparing fraction sizes 120
  G Improper fractions and mixed numbers 122
    Review set 6A 124
    Review set 6B 125
       
7 Polygons 127
  A Polygons 128
  B Triangles 130
  C Quadrilaterals 134
  D Euler's rule for plane figures 140
    Review set 7A 142
    Review set 7B 143
       
8 Fraction operations 145
  A Adding fractions 146
  B Subtracting fractions 150
  C Multiplying fractions 154
  D Reciprocals 157
  E Dividing fractions 158
  F Problem solving 159
    Review set 8A 161
    Review set 8B 162
       
9 Decimals 165
  A Constructing decimal numbers 166
  B Representing decimal numbers 170
  C Decimal currency 172
  D Using a number line 174
  E Ordering decimals 176
  F Rounding decimal numbers 178
  G Converting decimals to fractions 179
  H Converting fractions to decimals 180
    Review set 9A 182
    Review set 9B 183
       
10 Problem solving 185
  A Trial and error 186
  B Making a list 188
  C Modelling or drawing a picture 189
  D Making a table and looking for a pattern 191
  E Working backwards 194
    Review set 10A 196
    Review set 10B 196
       
11 Operations with decimals 197
  A Adding and subtracting decimals 198
  B Multiplying and dividing by powers of 10 200
  C Large decimal numbers 203
  D Multiplying decimal numbers 205
  E Dividing decimals by whole numbers 208
  F Terminating and recurring decimals 210
  G Using a calculator 212
    Review set 11A 213
    Review set 11B 214
       
12 Measurement 215
  A Units of measurement 217
  B Reading scales 219
  C Length conversions 221
  D Perimeter 223
  E Scale diagrams 226
  F Mass 228
  G Problem solving 230
    Review set 12A 232
    Review set 12B 233
       
13 Directed numbers 235
  A Opposites 236
  B Directed numbers and the number line 241
  C Using a number line to add and subtract 245
  D Adding and subtracting negatives 248
  E Multiplying directed numbers 250
  F Dividing directed numbers 253
  G Combined operations 254
  H Using your calculator 256
    Review set 13A 257
    Review set 13B 257
       
14 Percentage 259
  A Percentages 260
  B Converting fractions to percentages 263
  C Converting percentages to fractions 266
  D Converting decimals to percentages 267
  E Converting percentages to decimals 268
  F Plotting numbers on a number line 270
  G Shaded regions of figures 271
    Review set 14A 273
    Review set 14B 274
       
15 Time and temperature 275
  A Time lines 277
  B Units of time 279
  C Differences in time 281
  D Reading clocks and watches 283
  E Timetables 286
  F Time zones 288
  G Average speed 290
  H Temperature conversions 292
    Review set 15A 293
    Review set 15B 294
       
16 Using percentages 297
  A Comparing quantities 298
  B Finding percentages of quantities 301
  C Percentages and money 302
  D Profit and loss 303
  E Discount 305
  F Goods tax 306
  G Simple interest 308
    Review set 16A 309
    Review set 16B 310
       
17 Data collection and representation 311
  A Samples and populations 313
  B Categorical data 315
  C Graphs of categorical data 318
  D Numerical data 322
  E Mean or average 326
    Review set 17A 329
    Review set 17B 330
       
18 Algebra and patterns 331
  A Patterns 332
  B Variables and notation 335
  C Algebraic form 336
  D The value of an expression 338
  E Substituting into formulae 339
  F Practical problems using formulae 342
  G Linear graphs 344
    Review set 18A 346
    Review set 18B 346
       
19 Area, volume and capacity 349
  A Area 350
  B Conversion of area units 353
  C The area of a rectangle 355
  D The area of a triangle 358
  E Volume 361
  F Capacity 366
  G Problem solving 368
    Review set 19A 370
    Review set 19B 371
       
20 Equations 373
  A What are equations? 374
  B Solving simple equations 375
  C Maintaining balance 377
  D Inverse operations 380
  E Solving equations 382
  F Problem solving with equations 386
    Review set 20A 388
    Review set 20B 389
       
21 Coordinates and lines 391
  A The number plane 392
  B Points on a straight line 394
  C Graphing straight lines 395
  D Special lines 396
  E The x and y-intercepts 398
    Review set 21A 400
    Review set 21B 401
       
22 Transformations 403
  A Reflections and line symmetry 406
  B Rotations and rotational symmetry 409
  C Translations 414
  D Enlargements and reductions 415
  E Tessellations 417
    Review set 22A 421
    Review set 22B 422
       
23 Sets 423
  A Sets and their members 424
  B The intersection of sets 428
  C The union of sets 429
  D Venn diagrams 430
    Review set 23A 434
    Review set 23B 435
       
24 Solids and polyhedra 437
  A Types of solids 439
  B Freehand drawings of solids 442
  C Isometric projections 445
  D Constructing block solids 446
  E Nets of solids 447
    Review set 24A 449
    Review set 24B 450
       
  Answers 451
       
  Index 488

Using the interactive CD

IB MYP 1 CD INTERACTIVE LINK

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:

NEW

SELF TUTOR is a new exciting feature of this book. The SELF
TUTOR icon on each worked example denotes an active link on the CD.

Simply ‘click’ on the SELF TUTOR (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.

SELF TUTOR EXAMPLE

Areas of interaction

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

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

This book may be used as a general textbook at about 6th Grade (or Year 6) level in classes where students are expected to complete a rigorous course in Mathematics. It is the first book in our Middle Years series ‘Mathematics for the International Student’.

In terms of the IB Middle Years Programme (MYP), our series 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 series that would prepare students for the Mathematics courses at Diploma level. We have developed the series independently of the International Baccalaureate Organization (IBO) in consultation with experienced teachers of IB Mathematics. Neither the series nor this text is not endorsed by the IBO.

In regard to this book, it is not our intention that each chapter be worked through in full. Time constraints will 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.

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 SELF TUTOR 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 the practical applications of the mathematics they are studying.

We welcome your feedback.