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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.

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Book Information

Series:

Mathematics for the International Student (for Middle Years)

Title:

Mathematics for the International Student 7 (MYP 2)

Price:

Australia: AU$53.35 (inc. GST)
Overseas: AU$48.50 (ex. GST)

Authors:

Pamela Vollmar
Michael Haese
Robert Haese
Sandra Haese
Mark Humphries

Year Published:

2008

ISBN-13:

978-1-876543-41-9

Extent:

496 pages

Availability:

Available now

Sample chapters for download

2. Angles, lines and parallelism
6. Decimal numbers
10. Algebra (expansion and factorisation)
12. Ratio and proportion
17. Line graphs
20. Statistics
21. Sets

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 second book in our new Middle Years series for international schools (for use with MYP 2, approx. Grade/Year 7).

This book may also be used as a general textbook at about Grade 7 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 hannah@haesemathematics.com.au.

The complete series comprises:

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 SELF TUTOR icon to activate the self-tutoring software.

Other features include:

  • Areas of interaction links to printable pages
  • graphing and geometry software
  • computer demonstrations and simulations
  • statistics package

For a complete list of all the active links on the MYP 2 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 Whole numbers 9
  A The number system 11
  B Rounding numbers 12
  C Estimation 14
  D Operating with numbers 15
  E Index or exponent notation 20
  F Squares and cubes 22
  G Order of operations 24
    Review set 1A 28
    Review set 1B 29
       
2 Angles, lines and parallelism 31
  A Points and lines 32
  B Measuring and classifying angles 35
  C Angle properties 38
  D Geometric construction 41
  E Angle pairs 46
  F Parallel lines 49
    Review set 2A 53
    Review set 2B 55
       
3 Properties of numbers 57
  A Divisibility tests 58
  B Factors of natural numbers 61
  C Multiples of natural numbers 65
  D Directed numbers 68
  E Roots of whole numbers 72
    Review set 3A 74
    Review set 3B 75
       
4 Fractions 77
  A Manipulating fractions 78
  B Operations with fractions 82
  C Problem solving 88
  D The unitary method with fractions 90
  E Square roots of fractions 91
    Review set 4A 93
    Review set 4B 94
       
5 Algebra: patterns and models 95
  A Geometric patterns 96
  B Number crunching machines 100
  C Substituting into formulae 104
  D Using patterns 106
  E Practical problems 109
  F Number sequences 111
    Review set 5A 112
    Review set 5B 113
       
6 Decimal numbers 115
  A Place value 116
  B Ordering decimal numbers 119
  C Adding and subtracting decimal numbers 121
  D Multiplying and dividing by powers of 10 122
  E Multiplying decimal numbers 125
  F Dividing decimal numbers 126
  G Terminating and recurring decimals 128
  H Decimal approximations 131
  I Comparing sizes 133
    Review set 6A 134
    Review set 6B 134
       
7 Percentage 135
  A Understanding percentages 136
  B Interchanging number forms 138
  C One quantity as a percentage of another 141
  D Finding percentages of quantities 143
  E The unitary method in percentage 144
  F Percentage increase or decrease 145
  G Finding a percentage change 147
  H Business applications 149
  I Simple interest 152
    Review set 7A 155
    Review set 7B 155
       
8 Algebra: expressions and evaluation 157
  A Building expressions 158
  B Key words in algebra 162
  C Simplifying expressions 164
  D Algebraic products 166
  E Evaluating algebraic expressions 168
    Review set 8A 171
    Review set 8B 171
       
9 Length and area 173
  A Length 175
  B Perimeter 178
  C Area 183
  D Areas of polygons 186
  E Areas of composite shapes 192
    Review set 9A 195
    Review set 9B 196
       
10 Algebra (expansion and factorisation) 199
  A The distributive law 200
  B Simplifying algebraic expressions 203
  C Brackets with negative coefficients 204
  D The product (a+b)(c+d) 205
  E Geometric applications 206
  F Factorisation of algebraic expressions 207
    Review set 10A 209
    Review set 10B 210
       
11 Further measurement 211
  A Volume 212
  B Volume formulae 214
  C Capacity 217
  D Mass 221
  E Time 224
    Review set 11A 230
    Review set 11B 231
       
12 Ratio and proportion 233
  A Ratio 234
  B Writing ratios as fractions 236
  C Equal ratios 237
  D Proportions 242
  E Using ratios to divide quantities 245
  F Scale diagrams 247
  G Gradient or slope 253
    Review set 12A 254
    Review set 12B 255
       
13 Equations 257
  A Equations 258
  B Maintaining balance 260
  C Inverse operations 261
  D Building and undoing expressions 263
  E Solving equations 265
  F Equations with a repeated unknown 267
    Review set 13A 270
    Review set 13B 271
       
14 Polygons 273
  A Classifying triangles 274
  B Angles of a triangle 275
  C Angles of isosceles triangles 279
  D Polygons 281
  E Quadrilaterals 284
  F Angles of a quadrilateral 286
  G Interior angles of polygons 288
  H Deductive geometry (Extension) 290
    Review set 14A 292
    Review set 14B 293
       
15 The geometry of solids 295
  A Solids 296
  B Nets of solids 300
  C Drawing rectangular solids 305
  D Constructing block solids 309
    Review set 15A 312
    Review set 15B 313
       
16 Problem solving 315
  A Writing equations using symbols 316
  B Problem solving with algebra 318
  C Measurement problems 320
  D Money problems 321
  E Miscellaneous problem solving 322
  F Problem solving by search 324
  G Problem solving by working backwards 326
    Review set 16A 328
    Review set 16B 329
       
17 Line graphs 331
  A Properties of line graphs 332
  B Estimating from line graphs 334
  C Conversion graphs 337
  D Travel graphs 339
  E Continuous and discrete graphs 341
  F Graphing linear relationships 344
    Review set 17A 348
    Review set 17B 349
       
18 Circles 351
  A Parts of a circle 352
  B Circumference 355
  C Area of a circle 358
  D Cylinders 362
    Review set 18A 364
    Review set 18B 365
       
19 Chance 367
  A Describing chance 368
  B Assigning numbers to chance 370
  C Experimental probability 371
  D Listing possible outcomes 375
  E Theoretical probability 376
  F Tree diagrams 380
  G Making probability generators 384
    Review set 19A 385
    Review set 19B 385
       
20 Statistics 387
  A Data collection 390
  B Categorical data 392
  C Numerical data 397
  D The mean, median and mode 401
    Review set 20A 404
    Review set 20B 406
       
21 Sets 407
  A Sets 408
  B Complement of a set 410
  C Intersection and union 412
  D Disjoint sets 414
  E Venn diagrams 416
  F Problem solving with Venn diagrams 419
  G Finding probabilities from Venn diagrams 421
    Review set 21A 423
    Review set 21B 424
       
22 Rates 427
  A Rates 428
  B Comparing prices 429
  C Using rates 431
  D Average speed 433
  E Density 435
  F Converting rates 437
    Review set 22A 439
    Review set 22B 440
       
23 Algebraic fractions 443
  A Simplifying algebraic fractions 444
  B Multiplying algebraic fractions 445
  C Dividing algebraic fractions 446
  D Adding and subtracting algebraic fractions 447
    Review set 23A 452
    Review set 23B 453
       
  Challenge sets 454
       
  Answers 455
       
  Index 493

Using the interactive CD

IB MYP 2 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:

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

  • 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

This book may be used as a general textbook at about 7th Grade (or Year 7) level in classes where students are expected to complete a rigorous course in Mathematics. It is the second 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 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.