Introductory Mathematics Methods

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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 ATA R 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 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 Show more