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Book Information

Series:

Middle Years Mathematics (standard series)

Title:

Mathematics for Year 5 (2nd edition)

Price:

Australia: AU$38.50 (inc. GST)
Overseas: AU$35.00 (ex. GST)

Authors:

Stan Pulgies
Robert Haese
Sandra Haese
Chris Haines

Year Published:

2005

ISBN-13:

978-1-876543-21-1

Extent:

344 pages

Availability:

Available now

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Sample chapters for download

1. Adding and subtracting

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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.

Key features

About this second edition

This 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).

The interactive Student CD

An interactive CD is included with this book. The CD contains the text of the book, so that students can keep the CD at home and the book at school, to avoid carrying the book to and from school each day.

The CD also contains many ‘active icons’. Click on the ‘CD LINK’ icons to access:

The CD is an excellent resource for classroom demonstrations or individual study and revision. 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 ADDING AND SUBTRACTING 9 (41)
  A Number systems 10 (42)
  B Place value 11 (44)
  C Numbers in words 13 (46)
  D Rounding off numbers 14 (47)
  E Estimating 17 (50)
  F Adding whole numbers 18 (52)
  G Subtraction 23 (57)
  H Using symbols 28  
  I Using a calculator 28 (62)
  J Mixed problem solving 29 (63)
    Mental set 1A 31  
    Mental set 1B 31  
    Mental set 1C 31  
    Skill tester: Whole numbers 33  
    Review exercise 1 34  
         
2 2-DIMENSIONAL SHAPES 35
  A Angles 36 (10)
  B Measuring and drawing angles 39  
  C Polygons 42 (12)
  D Parallel lines 44 (15)
  E Symmetrical figures 46 (17)
  F Triangles and quadrilaterals 47 (19)
  G Circles 51 (23)
    Skill tester: Plane geometry 55  
    Activity: Circumference 56  
    Mental set 2A 57  
    Mental set 2B 57  
    Review exercise 2 58  
         
3 MULTIPLYING AND DIVIDING WHOLE NUMBERS 59 (91)
  A Factors 60 (92)
  B Multiples 62  
  C Multiplying by 10, 100, 1000 63 (94)
  D Estimating multiplications 65  
  E Multiplication 66 (96)
  F Division 70 (99)
  G Estimating divisions 73  
  H Using a calculator 74 (102)
  I Problem solving using multiplication and division 75 (103)
  J Further problem solving 76  
  K Order of operations 77 (106)
    Skill tester: Mary’s mixed up multiplication machine 81  
    Mental set 3A 82  
    Mental set 3B 82  
    Mental set 3C 82  
    Mental set 3D 82  
    Review exercise 3 83  
    Have fun with these using a calculator 84  
         
4 LOCATION 85 (69)
  A The language of position 86 (70)
  B Finding points 89 (72)
  C Direction 91 (74)
  D Scales 94 (76)
  E Degrees 97 (79)
  F Finding treasures 98 (81)
  G Coordinates 100 (83)
    Skill tester: Location 103  
    Mental set 4A 104  
    Mental set 4B 104  
    Review exercise 4 105  
         
5 FRACTIONS 107 (113)
  A Representing fractions 108 (115)
  B Fractions that add to one (whole) 112 (118)
  C Finding a fraction of a quantity 114 (120)
  D Improper fractions and mixed numbers 116 (122)
  E Equivalent fractions 119 (125)
  F Fractions as division 123 (128)
  G Addition and subtraction of fractions 124 (129)
    Skill tester: Fractions 129  
    Mental set 5A 130  
    Mental set 5B 130  
    Mental set 5C 130  
    Review exercise 5A 131  
    Review exercise 5B 132  
         
6 DECIMALS 133 (139)
  A Tenths as decimals 134 (140)
  B Hundredths 136 (143)
  C Decimals on a number line 139 (146)
  D Place value 142 (148)
  E Order of size 143 (150)
  F Adding decimal numbers 146 (157)
  G Subtracting decimal numbers 148 (159)
  H Multiplication by 10, 100 and 1000 149 (162)
  I Using a calculator 151 (163)
  J Percentage 152 (164)
    Activity: The game of equality 154  
    Mental set 6A 155  
    Mental set 6B 155  
    Mental set 6C 155  
    Skill tester: Decimals 157  
    Review exercise 6A 157  
    Review exercise 6B 158  
         
7 MONEY 159
  A Money 160 (153)
  B Adding and subtracting with money 164  
  C Multiplying and dividing 166  
  D Problem solving 168  
  E Using a calculator 169  
  F Budgets 170  
    Skill tester: Money 173  
    Mental set 7A 173  
    Mental set 7B 173  
    Review exercise 7A 174  
    Review exercise 7B 174  
         
8 PATTERNS AND ALGEBRA 175
  A Number patterns 177 (175)
  B Patterns with matchsticks 179 (176)
  C Number crunching machines 181 (178)
  D Other patterns 182 (183)
  E Finding missing numbers 184 (184)
    Skill tester: Number patterns 187  
    Mental set 8A 188  
    Mental set 8B 188  
    Mental set 8C 188  
    Review exercise 8A 189  
    Review exercise 8B 190  
         
9 MEASUREMENT 191 (191)
  A Length 192 (192)
  B Conversion of length units 195  
  C Perimeter 197 (196)
  D Area 200 (199)
  E Volume 205 (202)
  F Capacity 207 (204)
  G Mass 211 (210)
    Activity: Net mass 215  
    Mental set 9A 216  
    Mental set 9B 216  
    Mental set 9C 216  
    Review exercise 9A 217  
    Review exercise 9B 218  
         
10 TIME AND TEMPERATURE 219
  A Telling the time 220 (213)
  B Conversion of units 225  
  C Using a calendar 227 (268)
  D Using timetables 229  
  E Problem solving 233  
  F Temperature 233  
    Skill tester: Measurement 237  
    Mental set 10A 238  
    Mental set 10B 238  
    Review exercise 10A 238  
    Review exercise 10B 239  
         
11 DATA COLLECTION AND GRAPHING 241
  A Collecting and recording data 242 (228)
  B Column and bar graphs 245 (230)
  C Composite graphs 249  
  D Using technology to graph data 250  
  E Pie graphs 251  
  F Pictograms (pictographs) 253 (232)
  G Line graphs 254  
  H Surveys 257 (237)
  I Statistical activity 259 (239)
  J Reading charts and tables 260 (276)
    Skill tester: Sam’s super survey 263  
    Mental set 11A 264  
    Mental set 11B 264  
    Mental set 11C 264  
    Review exercise 11A 265  
    Review exercise 11B 265  
         
12 3-DIMENSIONAL SHAPES 267
  A Names of special solids 268 (246)
  B Sketching solids 271 (248)
  C Making solids 272 (250)
  D Views from different directions 275 (254)
  E Making cylinders and cones 276 (256)
  F The platonic solids 278 (260)
  G The platonic solids (extension) 273  
    Skill tester: Solid geometry 280  
    Mental set 12A 281  
    Mental set 12B 281  
    Review exercise 12 281  
         
13 CHANCE 284 (285)
  A Words describing chance 285 (287)
  B What do you expect? 287 (289)
  C Possible outcomes 289 (294)
  D Probability by experiment 291  
    Mental set 13A 292  
    Mental set 13B 292  
    Review exercise 13A 293  
    Skill tester: ‘Dealing with chance’ 295  
    Investigation: Tossing a coin 296  
    Review exercise 13B 296  
         
14 TRANSFORMATIONS 297
  A Transforming shapes 298 (32)
  B Translations 299  
  C Rotations 301  
  D Reflections 302  
  E Enlarging and reducing 304  
  F Tessellations 306 (28)
    Mental set 14A 311  
    Mental set 14B 311  
    Review exercise 14 312  
         
  ANSWERS 313
         
  INDEX 339

Foreword

Mathematics for Year 5 (second edition) presents a comprehensive and rigorous course in mathematics at Year 5 level. The book provides students with the structure and content to work efficiently at their own rate, with the help of worked examples, exercises, activities and answers, and the support of the interactive Student CD.

The book and CD package can supplement classroom practice and give teachers time to explore other creative strategies, according to the needs of their students. It is not the Year 5 Mathematics Curriculum, nor does it proclaim to provide the most effective teaching program.

The knowledge, skills and understandings summarised at the beginning of each chapter reflect the descriptors used in the R-7 SACSA Mathematics Teaching Resource for Primary Years. We hope that this will be a helpful guide for Year 5 teachers who may wish to use the book to support their teaching practice.

This 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).

The interactive Student 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, 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