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Book Information

Series:

Middle Years Mathematics (standard series)

Title:

Mathematics for Year 6 (2nd edition)

Price:

Australia: AU$39.50 (inc. GST)
Overseas: AU$35.91 (ex. GST)

Authors:

Stan Pulgies
Robert Haese
Sandra Haese

Year Published:

2003

ISBN-13:

978-1-876543-62-4

Extent:

416 pages

Availability:

Available now

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Sample chapters for download

1. Whole numbers

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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)

Key features

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 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).

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

    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  

Foreword

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