4750 - Achieve success at school with expert teaching

Contents

1. Number Skills
2. Algebraic Expansions
3. Algebraic Factorization
4. Remainder & Factor Theorem
5. Completion of Squares
6. Solving Equations
7. Indices
8. Exponential Equations I
9. Logarithms
10. Exponential Equations II
11. Simultaneous Equations
12. Lines
13. Quadratics
14. Cubics
15. Rectangular Hyperbolae
16. Exponential Curves
17. Circles
18. Right Triangle Trigonometry
19. Non-Right Triangle Trigonometry
20. Trigonometric Equations
21. The Sine Rule
22. The Cosine Rule
23. Trigonometric Graphs
24. Sets & Venn Diagrams
25. Probability I
26. Probability II
27. Mean & Standard Deviation

Review 1
Review 2
Review 3
Review 4
Solutions to Automaticity Tasks
Solutions to Practice Tasks
Solutions to Review 1
Solutions to Review 2
Solutions to Review 3
Solutions to Review 4

Preface

The Introductory Mathematics Methods Study Guide is a vital tool to enable students to develop the
core skills and the understanding of concepts required for the year 11 and 12 ATAR Mathematics
Methods Units 1, 2, 3 & 4 courses. The core skills and concepts are in line with Level 10 Advanced of
the Australian Mathematics Curriculum.
It is aimed at students in year 10 as preparation for the year 11 & 12 ATAR Mathematics Methods
courses. It may also be helpful for students already in year 11 studying Mathematics Methods, who may
have missed out on the required essential skills and concepts.
Each chapter consists of introductory notes, worked examples and practice tasks. Some chapters
include Automaticity Tasks which are critical for success in the Mathematics Methods Course. These
are skills which should be automated.
Review questions are provided along with fully worked solutions for each Automaticity Task, Practice
Task and Review Task.
The use of calculators is not recommended for this Study Guide.
Dr O. T. Lee