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Book Information

Series:

Middle Years Mathematics (less academic series)

Title:

Core Skills Mathematics 8

Price:

Australia: AU$42.50 (inc. GST)
Overseas: AU$38.64 (ex. GST)

Authors:

Ann Fenton
Robert Haese
Sandra Haese
Derk Kappelle

Year Published:

2004

ISBN-13:

978-1-876543-38-9

Extent:

376 pages

Availability:

Available now

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Sample chapters for download

1. Geometry (objects and drawings)

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About the book

This book presents the basic skills of Mathematics appropriate for Year 8 students.

The content and order of chapters parallels the content and structure of Mathematics for Year 8 fifth edition, also published by Haese & Harris Publications. Topics are clearly presented in double-page spreads and attention has been paid to sentence length and layout to ensure that the book is easy to read for students.

There is good coverage of core skills and concepts, clear worked examples and well graded exercises.

The book offers a sound foundation in mathematics for students beginning their secondary level education.

The interactive Student CD

By clicking on the CD-link icon, students can access a range of interactive features, including:

The CD is ideal for independent study. Students can revisit concepts taught in class and also discover new ideas for themselves. It is fantastic for demonstrations and simulations. The CD also contains the text of the book – students can leave the textbook at school and keep the CD at home to save carrying a heavy textbook to and from school each day.

Table of contents

1 Geometry (Objects and Drawings) 9
  A Turning and degrees 10
  B Measuring angles 12
  C Classifying and naming angles 14
  D Complementary and supplementary angles 16
  E Angles in a revolution 18
  F Bisecting Angles 19
  G Constructing 90° angles to a line 20
  H Plane shapes 21
  I Points and lines 23
  J Solids 26
  K Nets of solids 30
  L Drawing solids 32
  M Plans 34
    Review set A 35
    Review set B 36
    Review set C 37
       
2 Whole numbers 39
  A Number systems 40
  B Rounding and estimation 43
  C Operating with numbers 45
  D Divisibility rules 48
  E Factors of whole numbers 49
  F Exponent (Index) notation 53
  G Square numbers and square roots 54
  H Multiples of whole numbers 56
  I Order of Operations 57
    Review set A 60
    Review set B 61
    Review set C 61
       
3 Directed numbers 63
  A Opposites 64
  B Directed numbers and the number line 67
  C Using a number line to add and subtract 70
  D Rules for adding and subtracting 72
  E Multiplication of directed numbers 74
  F Division of directed numbers 76
  G Combined operations 77
  H Using your calculator 78
    Review set A 79
    Review set B 80
       
4 Algebra: patterns and models 81
  A Number patterns 82
  B Matchstick patterns 84
  C Symbols in algebra 87
  D Number crunching machines 90
  E Find the ‘number crunching rule’ 91
  F Formulae 93
  G Further substitution into formulae 94
  H Using patterns 96
  I Building shapes and things 97
  J Simplifying algebraically 100
  K Evaluation of algebraic expressions 103
  L The distributive law 104
    Review set A 106
    Review set B 107
    Review set C 108
       
5 Fractions 109
  A Representations of fractions 111
  B Improper fractions and mixed numbers 113
  C Fractions on a number line 114
  D Equivalent fractions 115
  E Comparing fraction sizes 118
  F Adding fractions 120
  G Subtracting fractions 123
  H Multiplying fractions 124
  I Reciprocals 127
  J Division of fractions 127
  K Problem solving 129
  L Multiplication of algebraic fractions (extension) 131
  M Division of algebraic fractions (extension) 132
    Review set A 133
    Review set B 134
       
6 Decimals and percentages 135
  A Place value 136
  B Ordering decimal numbers 138
  C Addition and subtraction of decimals 140
  D Multiplying and dividing by powers of 10 142
  E Multiplying decimal numbers 144
  F Dividing decimal numbers 146
  G Terminating and recurring decimals 149
  H Decimal approximations 151
  I Understanding percentages 153
  J Converting percentages to fractions 154
  K One quantity as a percentage of another 157
  L Finding percentages of quantities 159
  M The unitary method in percentage 160
  N Percentage increase or decrease 160
  O Finding the percentage change 161
  P Business applications of percentage 163
    Review set A 166
    Review set B 167
    Review set C 168
       
7 Coordinates and graphs 169
  A Map references 170
  B Number grids 173
  C Interpreting points on a graph 176
  D Interpreting line graphs 179
  E Constructing graphs 183
  F The number plane 185
  G Graphing linear relationships 187
    Review set A 189
    Review set B 190
    Review set C 191
       
8 Measurement 193
  A Length 194
  B Perimeter 199
  C Circumference 202
  D Areas of polygons 206
  E Areas of circles 213
  F Volume 217
  G Capacity 221
  H Mass 224
  I Time 225
    Review set A 229
    Review set B 230
       
9 Ratio, Proportion and Rate 231
  A Ratio 232
  B Equal ratios 235
  C Proportion 239
  D Using ratios to divide quantities 241
  E Application of ratios (scale diagrams) 243
  F Slope, an application of ratios 248
  G Rates 249
  H Converting rates 253
    Review set A 254
    Review set B 255
    Review set C 255
       
10 Equations 257
  A Algebraic expressions and equations 258
  B Writing equations in symbols 261
  C Maintaining balance 262
  D Inverse operations 265
  E Building and undoing expressions 268
  F Equations with two operations 272
    Review set A 278
    Review set B 279
    Review set C 280
       
11 Geometry (Lines, Shapes and Solids) 281
  A Plane figures 282
  B Line pairs 285
  C Constructing perpendiculars 291
  D Classifying triangles 293
  E Constructing and drawing triangles 296
  F Angles of a triangle 297
  G Exterior angles of a triangle 300
  H Constructing a 60° angle 301
  I Quadrilaterals 302
  J Angles of a quadrilateral 305
  K Interior angles of polygons 307
    Review set A 308
    Review set B 309
    Review set C 311
       
12 Data and chance 313
  A Statistical enquiries (Investigations) 315
  B Populations and samples 318
  C Categorical data 320
  D Discussion and report writing 324
  E Describing chance 325
  F Assigning numbers to chance 327
  G The statistics-probability connection 328
  H Listing possible outcomes 332
  I Calculating probabilities 334
    Review set A 336
    Review set B 337
       
  ANSWERS 339

Foreword

We have written this book to provide a basic course in mathematics that Year 8 students will find easy to read and understand.

Our particular aim was to cover the core skills in a clear and readable way, so that every Year 8 student can be given a sound foundation in mathematics that will stand them in good stead whether they proceed to study a formal course or a less academic option in the future.

Attention has been paid to sentence length and page layout to ensure the book is easy to follow. The content and order of the twelve chapters, parallels the content and order of the twelve chapters in Mathematics for Year 8 (fifth edition) also published by Haese & Harris Publications. More difficult investigations and the more complex aspects of mathematics offered in that book, have been omitted.

Throughout this book, there are worked examples, exercises and activities, and with the support of the interactive Student CD, there is plenty of revision and practice.

We hope that this book will help to give students a sound foundation in mathematics as they begin their secondary level education, but we also caution that no single book should be the sole resource for any classroom teacher.

We welcome your feedback.
Email: info@haeseandharris.com.au