Support Material
INFINITY Test and Homework Generator
Due 2013
Sample chapters for download
11. Coordinate geometry
15. Simultaneous Equations
About the book
Mathematics for Australia 10 has been designed and written for the Australian Curriculum. The textbook covers all of the content outlined in the Year 10 curriculum. This textbook is best used in conjunction with the related year levels in our 'Mathematics for Australia' series.
The textbook and interactive student CD provide an engaging and structured package, allowing students to explore and develop their confidence in mathematics. The material is presented in a clear, easy-to-follow style, free from unnecessary distractions, while effort has been made to contextualise questions so that students can relate concepts to everyday use.
The book contains a variety of exercises, ranging from basic to advanced, to cater for a range of student abilities and interests. Plenty of lower level questions are included, allowing students to improve their skills.
Each chapter begins with an Opening Problem, offering an insight into the application of the mathematics that will be studied in the chapter. Important information and key notes are highlighted, while worked examples provide step-by-step instructions with concise and relevant explanations. Discussions, Activities, Investigations, Puzzles, and Research exercises are used throughout the chapters to develop understanding, problem solving, and reasoning, within an interactive environment.
Extensive Review Sets are located at the end of each chapter, comprising a range of question types including short answer, extended response, and multiple choice.
Graphics calculator instructions are provided throughout the book to help students build an understanding of the technology. Instructions are provided for the Casio fx-9860G Plus, TI-84 Plus, and TI- spire calculator models.
The accompanying CD contains specially designed SELF TUTOR software. Click on any worked example throughout the book to activate a teacher's voice which will explain each step in the worked example. SELF TUTOR is an excellent tool for students who have been absent from class and for those who need extra revision and practice.
In addition to SELF TUTOR, the interactive CD contains links to geometry software, statistics packages, demonstrations, calculator instructions, and a range of printable worksheets, tables, spreadsheets and diagrams, allowing teachers to demonstrate concepts and students to experiment for themselves.
Using the Interactive CD
The interactive CD is ideal for independent study.
Students can revisit concepts taught in class and undertake their own revision and practice. The CD also has the text of the book, allowing students to leave the textbook at school and keep the CD at home.
By clicking on the relevant icon, a range of new interactive features can be accessed:
- Self Tutor
- Interactive Links - to spreadsheets, video clips, graphing and geometry software, computer demonstrations and simulations
Self Tutor
Self Tutor is an exciting feature of this book.
The 
icon on each worked example denotes an active link on the CD.
Students can revisit concepts taught in class and undertake their own revision and practice. The CD also has the text of the book, allowing students to leave the textbook at school and keep the CD at home.
Simply click on the (or anywhere in the example box) to access the worked example, with a teacher's voice explaining each step necessary to reach the answer.
Play any line as often as you like. See how the basic processes come alive using movement and colour on the screen. Ideal for students who have missed lessons or need extra help.
See Chapter 18, Quadratic Functions, p. 373
Table of contents
| 1 | Number Operations | ||
| A | Operations with integers | ||
| B | Operations with fractions | ||
| C | Index laws | ||
| D | Scientific notation | ||
| 2 | Algebraic Expansion and Factorisation | ||
| A | Revision of expansion laws | ||
| B | Further expansion | ||
| C | The binomial expansion | ||
| D | Revision of factorisation | ||
| E | Factorising expressions with four terms | ||
| F | Factorising quadratic trinomials | ||
| G | Miscellaneous factorisation | ||
| 3 | Radicals (Surds) | ||
| A | Radicals and surds | ||
| B | Simplifying radicals | ||
| C | Adding and subtracting radicals | ||
| D | Multiplication of radicals | ||
| 4 | Algebraic Fractions | ||
| A | Evaluating algebraic fractions | ||
| B | Simplifying algebraic fractions | ||
| C | Multiplying and dividing algebraic fractions | ||
| D | Adding and subtracting algebraic fractions | ||
| 5 | Linear Equations and Inequalities | ||
| A | Solving linear equations | ||
| B | Fractional equations | ||
| C | Problem solving with linear equations | ||
| D | Linear inequalities | ||
| E | Solving linear inequalities | ||
| F | Problem solving with linear inequalities | ||
| 6 | Pythagoras' Theorem | ||
| A | Pythagoras' theorem | ||
| B | The converse of Pythagoras' theorem | ||
| C | Pythagorean triples | ||
| D | Problem solving using Pythagoras' theorem | ||
| E | Circle problems | ||
| 7 | Measurement | ||
| A | Length and perimeter | ||
| B | Area | ||
| C | Surface area | ||
| D | Volume | ||
| E | Capacity | ||
| 8 | Formulae | ||
| A | Formula construction | ||
| B | Formula substitution | ||
| C | Formula rearrangement | ||
| D | Rearrangement and substitution | ||
| E | Formulae by induction | ||
| 9 | Congruence and Similarity | ||
| A | Congruence of figures | ||
| B | Congruent triangles | ||
| C | Proof using congruence | ||
| D | Similarity | ||
| E | Similar triangles | ||
| F | Areas and volumes of similar figures | ||
| 10 | Quadratic Equations | ||
| A | Quadratic equations of the form x^2=k | ||
| B | The Null Factor law | ||
| C | Solution by factorisation | ||
| D | Completing the square | ||
| E | The quadratic formula | ||
| F | Problem solving | ||
| 11 | Coordinate Geometry | ||
| A | Distance between two points | ||
| B | Midpoints | ||
| C | Gradient | ||
| D | Parallel and perpendicular lines | ||
| E | Equations of straight lines | ||
| F | Graphing lines from equations | ||
| G | Finding the equation of a line | ||
| 12 | Right Angled Trigonometry | ||
| A | Labelling sides of a right angled triangle | ||
| B | Trigonometric ratios | ||
| C | Finding side lengths | ||
| D | Finding angles | ||
| E | Problem solving using trigonometry | ||
| F | Bearings | ||
| 13 | Statistics | ||
| A | Discrete data | ||
| B | Continuous data | ||
| C | Measuring the centre | ||
| D | Cumulative data | ||
| E | Measuring the spread | ||
| F | Box plots | ||
| G | Evaluating reports | ||
| 14 | Finance | ||
| A | Business calculations | ||
| B | Appreciation and depreciation | ||
| C | Simples interest | ||
| D | Compound interest | ||
| 15 | Simultaneous Linear Equations | ||
| A | Graphical solution | ||
| B | Solution by substitution | ||
| C | Solution by elimination | ||
| D | Problem solving | ||
| E | Non-linear simultaneous equations | ||
| 16 | Probability | ||
| A | Theoretical probability | ||
| B | Compound events | ||
| C | Expectation | ||
| D | Conditional probability | ||
| 17 | Relations and Functions | ||
| A | Relations | ||
| B | Functions | ||
| C | Function notation | ||
| D | Transforming y=f(x) | ||
| 18 | Quadratic Functions | ||
| A | Quadratic functions | ||
| B | Graphs of quadratic functions | ||
| C | Axes intercepts | ||
| D | Axis of symmetry | ||
| E | Vertex | ||
| F | Quadratic optimisation | ||
| 19 | Exponential Functions | ||
| A | Exponential functions | ||
| B | Graphs of exponential functions | ||
| C | Growth and decay | ||
| 20 | Conic sections | ||
| A | Circles | ||
| B | Ellipses | ||
| 21 | Bivariate Statistics | ||
| A | Line graphs | ||
| B | Scatter plots | ||
| C | Correlation | ||