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)
The second edition is an extensive revision and updating of the original text, with considerable reorganisation of chapters. More details are given in the Foreword but, briefly, changes include:
| In the table of contents, page numbers for corresponding sections in the first edition are given in brackets. This is intended as a guide for teachers who may have to use the first and second editions within the same classroom. A glance at the contents pages will show how both books correlate (the absence of a page number in brackets denotes the introduction of a new section). | ||||
| 1 | WHOLE NUMBERS | 9 | (9) | |
| A | Different number systems | 10 | (10) | |
| B | Our number system | 16 | (16) | |
| C | Rounding numbers | 19 | (19) | |
| D | Adding and subtracting whole numbers | 21 | ||
| E | Multiplying and dividing whole numbers | 23 | ||
| F | Estimation and approximation | 27 | (21) | |
| G | How big is one million? | 32 | (32) | |
| H | Numbers beyond one million | 36 | (37) | |
| I | Two step problem solving | 39 | ||
| J | Number opposites | 41 | ||
| Review Set A | 44 | |||
| Review Set B | 45 | |||
| Review Set A | 46 | |||
| 2 | NUMBER PROPERTIES | 47 | (83) | |
| A | Operating with numbers | 48 | (84) | |
| B | Order of operations | 51 | (87) | |
| C | Factors of natural numbers | 53 | (94) | |
| D | Multiples of natural numbers | 57 | (98) | |
| E | Divisibility rules | 59 | (102) | |
| F | Powers of numbers | 61 | (104) | |
| G | Powers with base 10 | 63 | (106) | |
| H | Square numbers | 64 | (100) | |
| I | Problem solving | 68 | ||
| Method 1: Trial and error | 68 | |||
| Method 2: Making a table and looking for a pattern | 69 | |||
| Method 3: Modelling or drawing a picture | 71 | |||
| Method 4: Working backwards | 72 | |||
| Review Set A | 73 | |||
| Review Set B | 73 | |||
| Review Set C | 74 | |||
| 3 | SHAPES AND SOLIDS | 75 | (61) | |
| A | Points and lines | 77 | (63) | |
| B | Angles | 81 | (150) | |
| C | Angels of a triangle | 87 | (155) | |
| D | Angles of a quadrilateral | 89 | (157) | |
| E | Polygons | 91 | (66) | |
| F | Triangles and quadrilaterals | 93 | (69) | |
| G | Constructing a triangle | 97 | (157) | |
| H | Bisecting and constructing angles | 100 | (160) | |
| I | Polyhedra | 104 | (72) | |
| J | Nets of solids | 106 | (74) | |
| K | Drawing solids | 108 | (77) | |
| L | Constructing block solids | 110 | (78) | |
| M | Freehand drawings of solids | 111 | (77) | |
| N | Circles | 114 | (248) | |
| Review Set A | 115 | |||
| Review Set B | 116 | |||
| Review Set C | 117 | |||
| 4 | FRACTIONS | 119 | (111) | |
| A | Fractions are everywhere | 120 | (112) | |
| B | Representation of fractions | 121 | (113) | |
| C | Fractions of regular shapes | 123 | (114) | |
| D | Equal (equivalent) fractions | 125 | (121) | |
| E | Lowest terms | 129 | (126) | |
| F | Fractions of quantities | 130 | (117) | |
| G | Comparing fraction sizes | 134 | (125) | |
| H | Improper fractions and mixed numbers | 136 | (120) | |
| I | Adding fractions | 138 | (128) | |
| J | Subtracting fractions | 141 | (130) | |
| K | Multiplying fractions | 143 | (132) | |
| L | Problem solving | 146 | (138) | |
| Review Set A | 147 | |||
| Review Set B | 148 | |||
| 5 | DECIMALS | 149 | (171) | |
| A | Representing Decimals | 150 | (172) | |
| B | Place value | 157 | (182) | |
| C | Rounding decimals | 160 | (202) | |
| D | Large decimal numbers | 162 | (181) | |
| E | Fraction and decimal interchange | 164 | ||
| F | Ordering decimals | 166 | (186) | |
| G | Adding and subtracting decimals | 168 | (188) | |
| H | Multiplying/dividing by powers of 10 | 170 | (190) | |
| I | Multiplying decimal numbers | 173 | (192) | |
| J | Dividing decimals by whole numbers | 177 | ||
| K | Terminating and recurring decimals | 179 | (198) | |
| L | Converting decimals to fractions | 182 | (201) | |
| M | Using a calculator for decimal numbers | 182 | ||
| Review Set A | 184 | |||
| Review Set B | 185 | |||
| Review Set C | 186 | |||
| 6 | PERCENTAGE | 187 | (207) | |
| A | Percentage | 189 | (209) | |
| B | Fractions to percentages | 191 | (210) | |
| C | Percentages to fractions | 195 | (219) | |
| D | Converting decimals to percentages | 196 | ||
| E | Converting percentages into decimals | 197 | ||
| F | Plotting numbers on a number line | 199 | (212) | |
| G | Percentages are all around us | 200 | (215) | |
| H | One quantity as a percentage of another | 205 | (223) | |
| I | Finding percentages of quantities | 207 | (225) | |
| J | Percentages and money | 208 | (227) | |
| K | Who uses percentages? | 210 | ||
| L | Problem solving with percentages | 213 | ||
| M | Discount | 215 | (230) | |
| N | Goods and services tax (GST) | 216 | ||
| O | Simple interest | 217 | (215) | |
| Review Set A | 218 | |||
| Review Set B | 219 | |||
| Review Set C | 220 | |||
| 7 | MEASUREMENT (LENGTH AND MASS) | 221 | (237) | |
| A | Units of measurement | 223 | (239) | |
| B | Reading scales | 225 | (240) | |
| C | Length conversions | 228 | (243) | |
| D | Perimeter | 231 | (245) | |
| E | Scale diagrams | 235 | (251) | |
| F | Mass | 239 | (254) | |
| G | Qualitative data | 241 | ||
| H | Problem solving with length and mass | 242 | (256) | |
| Review Set A | 247 | |||
| Review Set B | 248 | |||
| Review Set C | 249 | |||
| 8 | MEASUREMENT (AREA AND VOLUME) | 251 | (343) | |
| A | Area units | 252 | (344) | |
| B | Area of a rectangle | 258 | (350) | |
| C | Area of a triangle | 263 | (357) | |
| D | Volume or capacity | 267 | (361) | |
| E | Volume | 271 | (364) | |
| F | Capacity | 277 | (372) | |
| G | Problem solving | 279 | (374) | |
| Review Set A | 282 | |||
| Review Set B | 283 | |||
| Review Set C | ||||
| 9 | DATA COLLECTION AND REPRESENTATION | 285 | ||
| A | Samples and populations | 286 | (284) | |
| B | Organising categorical data | 290 | (286) | |
| C | Graphing categorical data with technology | 293 | ||
| D | Interpreting graphs of categorical data | 295 | (289) | |
| E | Numerical data | 299 | (294) | |
| F | Mean and median | 303 | (291) | |
| G | Line graphs and time series | 307 | (298) | |
| Review Set A | 309 | |||
| Review Set B | 310 | |||
| Review Set C | 311 | |||
| 10 | TIME AND TEMPERATURE | 313 | (265) | |
| A | Time lines | 315 | (267) | |
| B | Units of time | 317 | (268) | |
| C | Differences in time | 319 | (271) | |
| D | Reading clocks and watches | 322 | (273) | |
| E | Timetables | 325 | (275) | |
| F | Time zones (extension) | 328 | (277) | |
| G | Average speed | 331 | (255) | |
| H | Temperature | 333 | ||
| Review Set A | 334 | |||
| Review Set B | 335 | |||
| Review Set C | 335 | |||
| 11 | ALGEBRA | 337 | (45) | |
| A | Geometric patterns | 338 | (48) | |
| B | Number patterns | 340 | (46) | |
| C | Formulae and variables | 342 | (50) | |
| D | Discovering formulae | 346 | (53) | |
| E | Practical problems using formulae | 348 | ||
| F | Linear graphs | 351 | ||
| G | Solving equations | 352 | (317) | |
| H | Graphs of real life situations | 355 | ||
| Review Set A | 357 | |||
| Review Set B | 358 | |||
| Review Set C | 359 | |||
| 12 | TRANSFORMATION AND LOCATION | 361 | ||
| A | Number planes | 363 | (91) | |
| B | Transformations | 367 | ||
| C | Using ratios | 376 | (143) | |
| D | Bearings and Directions | 378 | (163) | |
| E | Activities | 384 | ||
| Review Set A | 385 | |||
| Review Set B | 387 | |||
| Review Set C | 388 | |||
| 13 | CHANCE | 389 | (325) | |
| A | Describing chance | 390 | (326) | |
| B | Assigning numbers to chance | 395 | (328) | |
| C | Defining probability | 397 | (330) | |
| D | Tree diagrams | 399 | ||
| E | Making your own probability generators | 401 | (333) | |
| F | Expectation | 402 | (333) | |
| G | Gambling systems | 405 | (337) | |
| Review Set A | 407 | |||
| Review Set B | 408 | |||
| ANSWERS | 409 | |||
| INDEX | 445 | |||
Mathematics for Year 7 (second edition) offers a comprehensive and rigorous course of study at Year 7 level. Through its worked examples, exercises, activities and answers, and the support of the interactive Student CD, the book provides students with the structure and content to work efficiently at their own rate.
The book and CD package is designed to supplement classroom practice and give teachers time to explore other creative strategies, depending on the needs of their students. It is not the Year 7 Mathematics Curriculum, nor does it proclaim to provide the most effective teaching program.
The knowledge, skills and understandings listed at the beginning of each chapter incorporate the descriptors used in the R-7 SACSA Mathematics Teaching Resource for Middle Years. We have listed the descriptors in the hope that this will be a helpful guide for Year 7 teachers who may wish to use the book to support their teaching practice.
About this second edition: the second edition is an extensive revision and updating of the original text, with considerable reorganisation of chapters. Changes include:
In the table of contents, page numbers for corresponding sections in the first edition are given in brackets. This is intended as a guide for teachers who may have to use the first and second editions within the same classroom. A glance at the contents pages will show how both books correlate (the absence of a page number in brackets denotes the introduction of a new section).
About the interactive Student CD: the CD 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. But more than that, by clicking on the ’active icons‘ within the text, students can access a range of interactive features: graphing and geometry software, spreadsheets, video clips, computer demonstrations and simulations, and worksheets.
The CD is ideal for independent study. Students can revisit concepts taught in class and explore new ideas for themselves. It is fantastic for teachers to use for demonstrations and simulations in the classroom. In summary, the book offers structure and rigour, and the CD makes maths come alive.
We have endeavoured to provide as broad a base of activity and learning styles as we can, 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
Web: www.haeseandharris.com.au