Introduction
Symbols and abbreviations
Acknowledgements
1 Statistics
1.1 Statistical measures
1.2 Organising data
1.3 Comparing samples and populations
Chapter summary
Chapter review
2 Properties of shapes
2.1 Geometric shapes
2.2 Classifying triangles and quadrilaterals
2.3 Transformations
2.4 Similarity, congruence and symmetry
Chapter summary
Chapter review
3 Numbers and indices
3.1 Positive and negative numbers
3.2 Indices
3.3 Scientific notation
Chapter summary
Chapter review
4 Functions and graphs
4.1 Plotting points and lines
4.2 Linear graphs
4.3 Connecting algebra and geometry
Chapter summary
Chapter review
5 Fractions and decimals
5.1 Comparing rational and irrational numbers
5.2 Adding and subtracting rational numbers
5.3 Multiplying and dividing rational numbers
5.4 Applications of fractions and decimals
Chapter summary
Chapter review
6 Shapes and angles
6.1 Using angle relationships
6.2 Calculating angles on parallel lines
6.3 Calculating angles in triangles
6.4 Congruent triangles
6.5 Calculating angles in polygons
Chapter summary
Chapter review
7 Applying ratios and rates
7.1 Rates
7.2 Ratios
7.3 Practical ratios and rates
8 Probability
8.1 Basic probability
8.2 Two-way tables and complementary events
8.3 Two-step probabilities
Chapter summary
Chapter review
9 Algebraic expressions
9.1 Algebraic modelling
9.2 Expanding and simplifying
9.3 Factorising
Chapter summary
Chapter review
10 Measuring shapes and time
10.1 Areas of triangles, rectangles and circles
10.2 Areas of other shapes
10.3 Surface area
10.4 Volumes of prisms and cylinders
10.5 Measuring triangles
10.6 Measuring time intervals
Chapter summary
Chapter review
11 Personal business calculations
11.1 Accounts and budgets
11.2 Percentages
11.3 Personal business
11.4 Borrowing and investing money
Chapter summary
Chapter review
12 Solving equations
12.1 Creating equations
12.2 Equation solution methods
12.3 Applying linear equations
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
Graduated exercise sets referenced to colour-coded worked examples cater for mixed ability classrooms.