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Book Information

Series:

Middle Years Mathematics (less academic series)

Title:

Core Skills Mathematics 6

Price:

Australia: AU$22.50 (inc. GST)
Overseas: AU$20.45 (ex. GST)

Authors:

Helen Hall
Mandy Spiers
Stan Pulgies

Year Published:

2004

ISBN-13:

978-1-876543-74-7

Extent:

240 pages

Availability:

Available now

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Sample chapters for download

1. Different number systems

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About the book

In line with the SACSA Framework for Middle Years Mathematics and the R-7 SACSA Mathematics Teaching Resource. Click here for a copy of the Correlation Chart (Year 6)

This book presents the basic skills of Mathematics appropriate for Year 6 students.

The content and order of chapters is similar to the content and structure of Mathematics for Year 6 second edition also published by Haese & Harris Publications. Topics are 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. Review sets appear at the end of each chapter.

The book offers a sound foundation in mathematics in preparation for 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 WHOLE NUMBERS AND MONEY 8
  1 Different number systems 8
  2 Our number system 10
  3 Place value 12
  4 Rounding numbers 14
  5 Number lines and number puzzles 16
  6 Review of chapter 1 18
       
2 POINTS, LINES, ANGLES AND POLYGONS 20
  7 Points, lines and polygons 20
  8 Angles 22
  9 Triangles and quadrilaterals 24
  10 Angles in a triangle 26
  11 Angles in a quadrilateral 28
  12 Review of chapter 2 30
       
3 NUMBER FACTS 32
  13 Addition and subtraction 32
  14 Multiplication and division by powers of 10 34
  15 Multiplication 36
  16 Division and problem solving 38
  17 Estimation and approximation 40
  18 Factors, divisibility rules and zero 42
  19 Multiples, LCM and operations 44
  20 Review of chapter 3 46
       
  Review of chapters 1, 2 and 3 48
       
4 FRACTIONS 50
  21 Fractions 50
  22 Fractions of quantities 52
  23 Finding the whole and ordering fractions 54
  24 Equivalent fractions and lowest terms 56
  25 Mixed numbers and improper fractions 58
  26 Addition of fractions 60
  27 Subtracting fractions and problem solving 62
  28 Ratio 64
  29 Review of chapter 4 66
       
5 DECIMALS 68
  30 Representing decimals 68
  31 Using a number line and the value of money 70
  32 Place value 72
  33 Adding and subtracting decimal numbers 74
  34 Multiplying and dividing by 10, 100, 1000 76
  35 Conversions and percentage 78
  36 Multiplication and division 80
  37 Money and rounding decimals 82
  38 Review of chapter 5 84
       
6 MEASUREMENT 86
  39 Length 86
  40 Converting length units and perimeter 88
  41 Perimeter continued 90
  42 Area 92
  43 Area of rectangles 94
  44 Composite areas and problem solving 96
  45 Volume 98
  46 Capacity 100
  47 Review of chapter 6 102
       
  Review of chapters 4, 5 and 6 104
       
7 LOCATION AND POSITION 106
  48 Introduction to scales and grids 106
  49 Grids 108
  50 Maps 110
  51 Direction 112
  52 Plans 114
  53 Coordinates 116
  54 Review of chapter 7 118
       
8 SOLIDS AND MASS 120
  55 Solids 120
  56 Polyhedra 122
  57 Drawing solids 124
  58 Making solids from nets 126
  59 Different views of objects 128
  60 Mass 130
  61 Review of chapter 8 132
       
9 DATA COLLECTION AND REPRESENTATION 134
  62 Organising data 134
  63 Pictographs and strip graphs 136
  64 Column and bar graphs 138
  65 Line graphs 140
  66 Pie charts and media graphs 142
  67 Interpreting data 144
  68 Measuring the middle of a data set 146
  69 Review of chapter 9 148
       
10 TIME AND TEMPERATURE 150
  70 Time lines 150
  71 Units of time 152
  72 A date with a calender 154
  73 Reading clocks and watches 156
  74 Clockwise direction and using a stopwatch 158
  75 Timetables 160
  76 Speed and temperature 162
  77 Review of chapter 10 164
       
  Review of chapters 7, 8, 9 and 10 166
       
11 PATTERNS AND ALGEBRA 168
  78 Number patterns (sequences) 168
  79 Dot and matchstick patterns 170
  80 Rules and problem solving 172
  81 Graphing patterns and tables 174
  82 Using word formulae 176
  83 Converting words to symbols 178
  84 Algebraic expressions and equations 180
  85 Graphing from a rule 182
  86 Review of chapter 11 184
       
12 TRANSFORMATIONS 186
  87 The language of transformations 186
  88 Tessellations 188
  89 Line symmetry 190
  90 Rotations and rotational symmetry 192
  91 Enlargements and reductions 194
  92 Review of chapter 12 196
       
13 CHANCE AND PROBABILITY 198
  93 Describing chance 198
  94 All possible results 200
  95 Probability 202
  96 Review of chapter 13 204
       
  Review of chapters 11, 12 and 13 206
       
  ANSWERS 208
       
  Correlation Chart: R-7 SACSA Mathematics Teaching Resource 236
       
  INDEX 240

Foreword

We have written this book to provide a sound course in mathematics that Year 6 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 6 student can be given a sound foundation in mathematics that will stand them in good stead as they near the end of their primary-level education.

Units are presented in easy-to-follow, double-page spreads. Attention has been paid to sentence length and page layout to ensure the book is easy to read. The content and order of the thirteen chapters parallels the content and order of the thirteen chapters in Mathematics for Year 6 (second edition) also published by Haese & Harris Publications and that book could be used by teachers seeking extension work for students at this level.

Throughout this book, as appropriate, the main idea and an example are presented at the top of the left hand page; graded exercises and activities follow, and more challenging questions appear towards the foot of the right-hand page. With the support of the interactive Student CD, there is plenty of explanation, revision and practice.

We hope that this book will help to give students a sound foundation in mathematics, 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