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.
| 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 | ||
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