Sample chapters for download
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 7)
- Covers the basic skills
- Easy to read
- Clear examples
- Well graded questions
- Interactive student CD
This book presents the basic skills of Mathematics appropriate for Year 7 students.
The content and order of chapters is similar to the content and structure of Mathematics for Year 7 second edition also published by Haese Mathematics. 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:
- spreadsheets
- video clips
- graphing and geometry software
- worksheets
- computer demonstrations and simulations
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 | 8 | |
| 1 | Our number system | 8 | |
| 2 | Operations with whole numbers | 10 | |
| 3 | Problem solving with whole numbers | 12 | |
| 4 | Rounding and approximation | 14 | |
| 5 | One million and beyond | 16 | |
| 6 | Number opposites | 18 | |
| 7 | Review of chapter 1 | 20 | |
| 2 | NUMBER PROPERTIES | 22 | |
| 8 | Number operations and their order | 22 | |
| 9 | Factors of natural numbers | 24 | |
| 10 | Multiples and divisibility rules | 26 | |
| 11 | Powers of numbers | 28 | |
| 12 | Square and cube numbers | 30 | |
| 13 | Problem solving methods | 32 | |
| 14 | Review of chapter 2 | 34 | |
| 3 | SHAPES AND SOLIDS | 36 | |
| 15 | Points and lines | 36 | |
| 16 | Angles | 38 | |
| 17 | Angles of a triangle and quadrilateral | 40 | |
| 18 | Polygons | 42 | |
| 19 | Classifying triangles and quadrilaterals | 44 | |
| 20 | Constructing a triangle and bisecting angles | 46 | |
| 21 | 90° and 60° angles and Circles | 48 | |
| 22 | Polyhedra and nets of solids | 50 | |
| 23 | Drawing solids | 52 | |
| 24 | Review of chapter 3 | 54 | |
| Review of chapters 1, 2 and 3 | 56 | ||
| 4 | FRACTIONS | 58 | |
| 25 | Representation of fractions | 58 | |
| 26 | Equivalent fractions and lowest terms | 60 | |
| 27 | Fractions of quantities | 62 | |
| 28 | Fraction sizes and types | 64 | |
| 29 | Adding and subtracting fractions | 66 | |
| 30 | Multiplying fractions | 68 | |
| 31 | Problem solving with fractions | 70 | |
| 32 | Review of chapter 4 | 72 | |
| 5 | DECIMALS | 74 | |
| 33 | Representing decimals | 74 | |
| 34 | Place value | 76 | |
| 35 | Rounding decimal numbers | 78 | |
| 36 | Ordering decimals | 80 | |
| 37 | Adding and subtracting decimals | 82 | |
| 38 | Multiplying and dividing by powers of 10 | 84 | |
| 39 | Multiplying decimal numbers | 86 | |
| 40 | Dividing decimals by whole numbers | 88 | |
| 41 | Fractions and decimal conversions | 90 | |
| 42 | Review of chapter 5 | 92 | |
| 6 | PERCENTAGES | 94 | |
| 43 | Percentages and fractions | 94 | |
| 44 | Percentage, decimal and fraction conversions | 96 | |
| 45 | Percentages on display and being used | 98 | |
| 46 | Representing percentages | 100 | |
| 47 | Quantities and percentages | 102 | |
| 48 | Money and problem solving | 104 | |
| 49 | Discount and GST | 106 | |
| 50 | Simple interest and other money problems | 108 | |
| 51 | Review of chapter 6 | 110 | |
| Review of chapters 4, 5 and 6 | 112 | ||
| 7 | MEASUREMENT (LENGTH AND MASS) | 114 | |
| 52 | Reading scales | 114 | |
| 53 | Units and length conversions | 116 | |
| 54 | Perimeter | 118 | |
| 55 | Scale diagrams | 120 | |
| 56 | Mass | 122 | |
| 57 | Problem solving | 124 | |
| 58 | Review of chapter 7 | 126 | |
| 8 | MEASUREMENT (AREA AND VOLUME) | 128 | |
| 59 | Area (square units) | 128 | |
| 60 | Area of a rectangle | 130 | |
| 61 | Area of a triangle | 132 | |
| 62 | Units of volume and capacity | 134 | |
| 63 | Volume formulae | 136 | |
| 64 | Problem solving | 138 | |
| 65 | Review of chapter 8 | 140 | |
| 9 | DATA COLLECTION AND REPRESENTATION | 142 | |
| 66 | Samples and population | 142 | |
| 67 | Collecting and interpreting data | 144 | |
| 68 | Interpreting graphs | 146 | |
| 69 | Mean and median | 148 | |
| 70 | Line graphs | 150 | |
| 71 | Review of chapter 9 | 152 | |
| 10 | TIME AND TEMPERATURE | 154 | |
| 72 | Units of time | 154 | |
| 73 | Differences in time | 156 | |
| 74 | Reading clocks and timelines | 158 | |
| 75 | Timetables | 160 | |
| 76 | Time zones | 162 | |
| 77 | Average speed and temperature | 164 | |
| 78 | Review of chapter 10 | 166 | |
| Review of chapters 7, 8, 9 and 10 | 168 | ||
| 11 | ALGEBRA | 170 | |
| 79 | Geometric and number patterns | 170 | |
| 80 | Formulae and variables | 172 | |
| 81 | Practical problems and linear graphs | 174 | |
| 82 | Solving equations | 176 | |
| 83 | Review of chapter 11 | 178 | |
| 12 | TRANSFORMATION AND LOCATION | 180 | |
| 84 | Number planes | 180 | |
| 85 | Transformations and reflections | 182 | |
| 86 | Rotations and rotational symmetry | 184 | |
| 87 | Translations and tessellations | 186 | |
| 88 | Enlargements and reductions | 188 | |
| 89 | Using ratios | 190 | |
| 90 | Bearings and directions | 192 | |
| 91 | Distance and bearings | 194 | |
| 92 | Review of chapter 12 | 196 | |
| 13 | CHANCE | ||
| 93 | Describing chance | 198 | |
| 94 | Defining probability | 200 | |
| 95 | Tree diagrams and probability | 202 | |
| 96 | Expectation | 204 | |
| 97 | Review of chapter 13 | 206 | |
| Review of chapters 11, 12 and 13 | 208 | ||
| ANSWERS | 210 | ||
| Correlation chart: R-7 SACSA Mathematics Teaching Resource | 239 | ||
| INDEX | 243 | ||
Foreword
We have written this book to provide a sound course in mathematics that Year 7 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 7 student can be given a sound foundation in mathematics that will stand them in good stead as they begin their secondary-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 7 (second edition) also published by Haese Mathematics 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@haesemathematics.com.au