Introduction
Symbols and abbreviations
Acknowledgements
1 Statistics
1.1 Data and surveys
1.2 Tabulating data
1.3 Graphing data
1.4 Analysing data
Chapter summary
Chapter review
2 Whole numbers
2.1 Using whole numbers
2.2 Order of operations
2.3 Index notation
2.4 Integers on the number line
2.5 Operating with integers
2.6 Special numbers
Chapter summary
Chapter review
3 Flat shapes
3.1 Points, lines and angles
3.2 Angle relationships
3.3 Naming flat shapes
3.4 Sketching and constructing flat shapes
3.5 Similarity, congruency and transformations
Chapter summary
Chapter review
4 Decimals
4.1 Naming and comparing decimals
4.2 Decimals, fractions and rounding
4.3 Adding and subtracting decimals
4.4 Multiplying and dividing decimals
4.5 Applying decimals
Chapter summary
Chapter review
5 Time
5.1 12-hour and 24-hour time
5.2 Using timelines
5.3 Converting units of time
5.4 Time calculations and timetables
Chapter summary
Chapter review
6 Expressions and equations
6.1 Patterns and symbols
6.2 Number rules
6.3 Algebraic expressions
6.4 Solving equations
Chapter summary
Chapter review
7 Fractions and ratios
7.1 Naming and comparing common fractions
7.2 Ordering fractions
7.3 Adding and subtracting fractions
7.4 Multiplying fractions
7.5 Dividing fractions
7.6 Rates and ratios
Chapter summary
Chapter review
8 Length and area
8.1 The metric system
8.2 Calculating perimeter
8.3 Area and its measurement
8.4 Calculating area
Chapter summary
Chapter review
9 Probability
9.1 Describing probability
9.2 Experimental probability
9.3 Theoretical probability
Chapter summary
Chapter review
10 Money and percentages
10.1 Money transactions
10.2 Percentages, fractions and decimals
10.3 Money and percentages
Chapter summary
Chapter review
11 Solid shapes and measures
11.1 Solids, nets and surface area
11.2 Naming and classifying solids
11.3 Drawing solids
11.4 Volume and capacity
11.5 Mass
Chapter summary
Chapter review
12 Number patterns
12.1 Graphs of number patterns
12.2 Number rules and functions
12.3 Functions and graphs
Chapter summary
Chapter review
Glossary
Appendix A Scientific calculator skills
Appendix B Scientific calculator exercises
Answers
Index
Sue Garner is assistant Head of Mathematics at Ballarat Grammar, specialising in both Mathematical Methods (CAS) and Specialist Mathematics. She has extensive knowledge of CAS calculator technology, and pioneered the first trial of CAS calculators in Ballarat Grammar in Victoria. She has published extensive material for secondary teachers and students of Maths, has lectured at The University of Ballarat and at The University of Melbourne, and has taught students of all secondary levels of Mathematics in Government, Catholic and Independent schools in Australia and in the UK.
Ross Brodie has worked as a classroom teacher and Mathematics Head of Department at a number of regional and metropolitan secondary schools. He has taught Mathematics at Years 8 to 12. Ross brings a wide range of experience from education and other sectors to the writing of mathematics student books.
Stephen Corcoran is an experienced teacher who has been Head of Mathematics in four schools. He is familiar with current trends in mathematics education. Stephen has received a National Excellence in Teaching award for the excellence he brings to inspiring students and encouraging their abilities through innovative mathematics programmes.
Stephen Swift started teaching Mathematics, Science and Computing in 1973 and taught at all levels from Years 7 to 12 in several states, in urban and country schools until retiring in 2010 from the role of Mathematics Head of Department at Wellington Point State High School in Brisbane.
Explicit focus on the development of the four Australian Curriculum proficiencies – Understanding, Fluency, Problem solving and Reasoning
Support for the general capabilities
Visually appealing, full-colour publication that reflects instructional design principles, and clearly distinguishes exercises from theory and worked examples
Numerous linked technology-related resources – spreadsheets, GeoGebra activities, calculator examples and exercises
Hands-on, practical real-world maths investigations
Clear thinking steps provided for worked examples
Numerous ‘drill and practice’ exercises