click here for a printer friendly version.
Cover image

Support Material

Errata

Book Information

Series:

Middle Years Mathematics (standard series)

Title:

Mathematics for Year 7 (2nd edition)

Price:

Australia: AU$41.50 (inc. GST)
Overseas: AU$37.73 (ex. GST)

Authors:

Stan Pulgies
Robert Haese
Sandra Haese

Year Published:

2003

ISBN-13:

978-1-876543-56-3

Extent:

448 pages

Availability:

Available now

Order form

Sample chapters for download

1. Whole numbers

Get Adobe Reader

To view the sample chapters you must have Adobe Reader installed.

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)

Key features

About this second edition

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:

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 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  

Foreword

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