Introductory Mathematics Methods

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

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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