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)
The second edition is a general revision and updating of the original text, with some 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 using the first and second editions within the same classroom. A glance at the contents pages shows how both books correlate (the absence of a page number in brackets denotes the introduction of a new section).
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.
| 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 | How many? The language of number | 14 | (13) | |
| C | A numbered world | 15 | (15) | |
| D | Our number system | 16 | (15) | |
| E | Zero | 19 | (18) | |
| F | Rounding numbers | 21 | (19) | |
| G | Estimation and approximation | 24 | (22) | |
| H | Place value | 32 | (30) | |
| I | Number line | 38 | (35) | |
| J | Number puzzles (extension) | 40 | (37) | |
| Review Set A | 41 | |||
| Review Set B | 41 | |||
| Review Set C | 42 | |||
| 2 | POINTS, LINES AND CIRCLES | 43 | (41) | |
| A | Points and lines | 44 | (42) | |
| B | Polygons | 48 | (47) | |
| C | Angles | 52 | (51) | |
| D | Perpendicular lines | 58 | (57) | |
| E | Triangles and quadrilaterals | 59 | (58) | |
| F | Angles in triangles | 63 | (60) | |
| G | Angles in quadrilaterals | 65 | ||
| H | Circles | 67 | (62) | |
| Review Set A | 70 | |||
| Review Set B | 71 | |||
| Review Set C | 72 | |||
| 3 | NUMBER FACTS | 73 | (67) | |
| A | Addition and subtraction | 74 | (68) | |
| B | Multiplication and division by powers of 10 | 78 | (70) | |
| C | Calculator use | 81 | (73) | |
| D | Multiplication | 84 | (76) | |
| E | Division | 86 | (76) | |
| F | Using number operations (problem solving) | 88 | ||
| G | Zero and one | 90 | (81) | |
| H | Factors of whole numbers | 91 | (86) | |
| I | Divisibility | 93 | (89) | |
| J | Multiples of whole numbers | 94 | (91) | |
| K | One operation after another | 96 | (84) | |
| Review Set A | 98 | |||
| Review Set B | 98 | |||
| Review Set C | 99 | |||
| Extension (A different base system) | 100 | |||
| 4 | FRACTIONS | 101 | (123) | |
| A | Fractions | 102 | (124) | |
| B | Representation of fractions | 103 | (125) | |
| C | Fractions of regular shapes | 104 | (126) | |
| D | Fractions of quantities | 105 | (128) | |
| E | Finding the whole from a fraction | 109 | (131) | |
| F | Ordering of fractions | 110 | (133) | |
| G | Equivalent fractions | 111 | (134) | |
| H | Fractions to lowest terms | 115 | ||
| I | Mixed numbers & improper fractions | 115 | (140) | |
| J | Adding fractions | 118 | (147) | |
| K | Subtraction of fractions | 123 | (151) | |
| L | Miscellaneous problem solving | 125 | (154) | |
| M | Ratio | 126 | (142) | |
| Review Set A | 129 | |||
| Review Set B | 130 | |||
| Review Set C | 131 | |||
| 5 | DECIMALS | 133 | (155) | |
| A | Representing decimals | 134 | (156) | |
| B | Using a number line | 135 | (157) | |
| C | Showing place value with blocks | 137 | (159) | |
| D | Place value | 138 | (161) | |
| E | Value of money | 143 | (165) | |
| F | Adding decimal numbers | 146 | (168) | |
| G | Subtracting decimal numbers | 149 | (170) | |
| H | Multiplying & dividing by 10, 100 and 1000 | 151 | (172) | |
| I | Converting fractions to decimals | 154 | (175) | |
| J | Converting decimals to fractions | 156 | ||
| K | Percentage | 156 | (177) | |
| L | Multiplication with whole numbers | 158 | (179) | |
| M | Division by whole numbers | 162 | ||
| N | Operating with money | 164 | ||
| O | Problem solving | 165 | (183) | |
| P | Rounding decimal numbers | 166 | ||
| Review Set A | 168 | |||
| Review Set B | 169 | |||
| Review Set C | 169 | |||
| 6 | MEASUREMENT | 171 | ||
| A | Units of measure | 172 | ||
| B | Converting length units | 174 | ||
| C | Perimeter | 176 | (96) | |
| D | Perimeters of special figures | 180 | ||
| E | Problem solving with perimeters | 182 | ||
| F | Comparing area units | 183 | ||
| G | Area | 185 | (100) | |
| H | Metric area units | 186 | (106) | |
| I | Area of a rectangle | 188 | (109) | |
| J | Areas of composite shapes | 192 | ||
| K | Problem solving with areas | 193 | ||
| L | Volume | 194 | (111) | |
| M | Capacity | 197 | (115) | |
| N | Calculating volumes and capacities | 200 | (117) | |
| Review Set A | 203 | |||
| Review Set B | 204 | |||
| Review Set C | 205 | |||
| 7 | LOCATION AND POSITION | 207 | (187) | |
| A | Scales | 209 | (189) | |
| B | Grids | 210 | (190) | |
| C | Maps | 212 | (191) | |
| D | Direction | 216 | (195) | |
| E | Plans | 221 | (198) | |
| F | Coordinates | 224 | (200) | |
| G | Locus | 227 | ||
| Review Set A | 229 | |||
| Review Set B | 229 | |||
| 8 | SOLIDS AND MASS | |||
| A | Polyhedra | 234 | (212) | |
| B | Drawing solids | 235 | (214) | |
| C | Making solids from nets | 240 | (220) | |
| D | Different views of objects | 244 | (223) | |
| E | Intersection of solids and planes | 245 | (224) | |
| F | Mass | 248 | ||
| Review Set A | 253 | |||
| Review Set B | 253 | |||
| Review Set C | 254 | |||
| 9 | DATA COLLECTION AND REPRESENTATION | 255 | ||
| A | Sampling | 257 | (275) | |
| B | Organising data | 257 | (275) | |
| C | Displaying data | 262 | (279) | |
| D | Using technology to graph data | 272 | ||
| E | Interpreting data | 275 | (282) | |
| F | Measuring the ‘middle’ of a data set | 277 | (284) | |
| Review Set A | 280 | |||
| Review Set B | 281 | |||
| Review Set C | 282 | |||
| 10 | 283 | (249) | ||
| A | Time lines | 285 | (251) | |
| B | Units of time | 287 | (252) | |
| C | A date with a calendar | 291 | (257) | |
| D | Reading clocks and watches | 294 | (259) | |
| E | Clockwise direction | 302 | (266) | |
| F | Timetables | 303 | (268) | |
| G | Speed | 306 | ||
| H | Temperature | 308 | ||
| I | Maximum, minimum and average temperatures | 310 | ||
| Review Set A | 312 | |||
| Review Set B | 313 | |||
| Review Set C | 314 | |||
| 11 | PATTERNS AND ALGEBRA | 315 | (291) | |
| A | Number patterns (sequences) | 316 | (292) | |
| B | Dot patterns | 317 | (293) | |
| C | Matchstick patterns | 319 | (295) | |
| D | Rules and problem solving | 321 | (296) | |
| E | Graphing patterns | 323 | (298) | |
| F | Using word formulae | 323 | (299) | |
| G | Converting words to symbols | 326 | (301) | |
| H | Using a spreadsheet | 328 | (303) | |
| I | Algebraic expressions | 329 | (304) | |
| J | Graphing from a rule | 332 | ||
| K | Graphs of real world situations | 335 | ||
| Review Set A | 336 | |||
| Review Set B | 337 | |||
| 12 | TRANSFORMATIONS | 339 | (311) | |
| A | The language of transformations | 340 | (312) | |
| B | Tessellations | 343 | (332) | |
| C | Line symmetry | 346 | (316) | |
| D | Rotations | 349 | (321) | |
| E | Enlargements and reductions | 356 | (327) | |
| Review Set A | 359 | |||
| Review Set B | 360 | |||
| Review Set C | 361 | |||
| 13 | CHANCE AND PROBABILITY | 363 | (341) | |
| A | Describing chance | 364 | (342) | |
| B | All possible results | 367 | (344) | |
| C | Probability | 372 | (349) | |
| D | Most likely to least likely order | 373 | ||
| E | Statistics and probability | 374 | (350) | |
| F | Life insurance tables (extension) | 376 | (351) | |
| Review Set A | 378 | |||
| Review Set B | 379 | |||
| Review Set C | 380 | |||
| ANSWERS | 381 | |||
| INDEX | 415 | |||
Mathematics for Year 6 (second edition) offers a comprehensive and rigorous course of study at Year 6 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 6 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 6 teachers who may wish to use the book to support their teaching practice.
About this second edition: the second edition is a general revision and updating of the original text, with some 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 wish 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 packages, 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