Listed here is the mapping of Whetstones that may be applicable to the mentioned Australian Curriculum Senior course. More information on the Australian Curriculum Senior Mathematics Courses can be found here:
Mathematical Methods
Specialist Mathematics
Mathematical Methods
Specialist Mathematics
Mathematical Methods
Unit 1
|
Topic 1
Functions and graphs |
Algebra Group
|
1. Algebra and Indices
2. Quadratic equations, Completing the square 3. Quadratics: Factors and Formula 4. Coordinate Geometry, Basic ideas |
|
Relations Group
|
5. Mappings
6. Continuity and Smoothness 7. Equivalence and other relations |
|
Topic 2
Trigonometric functions |
Trigonometry Group
|
8. Common Ratios
9. Angles and applications 10. Radians and applications 11. The Sine Rule 12. The Cosine Rule 13. The Area of a Triangle Rule 14. Angles of Any Magnitude: Definitions 15. Angles of any Magnitude: Ratios and Angles |
|
Topic 3
Counting and Probability |
The Probability Group
|
26. Probability, Basics
27. Probability, Two Events: Part 1 28. Probability, Two Events: Part 2 |
|
The Counting and Combinatorics Group
|
29. Counting
30. The Binomial |
Unit 2
|
Topic 1
Exponential Functions |
The Other Functions Group
|
39. Exponential Functions
|
|
Topic 2
Arithmetic and geometric sequences and series |
The AP and GP Group
|
42. Sequences and Series
43. Arithmetic and Geometric Sequences 44. Arithmetic and Geometric Series 45. Geometric Progression, Applications 1 46. Geometric Progression, Applications 2 |
|
Topic 3
Introduction to differential calculus |
The Calculus Group
|
52. Rates of Change
53. Differentiation and Integration 54. The Fundamental Theorem |
Unit 3
|
Topic 1
Further differentiation and applications |
The Calculus Group
|
55. The Derivative
56. Trigonometric Functions 57. Logarithm and Exponential Functions |
|
Topic 2
Integrals |
The Calculus Group
|
53. Differentiation and Integration
54. The Fundamental Theorem |
|
Topic 3
Discrete random variables |
Statistics
|
74. Random Variables and Expected Value
75. Discrete Distributions |
Unit 4
|
Topic 1
The logarithmic function |
The Other Functions Group
|
40. Logarithms, Introduction
41. Logarithms, Functions |
|
Topic 2
Continuous random variables and the normal distribution |
Statistics
|
76. Continuous Distributions
|
|
Topic 3
Interval estimates for proportions |
Sampling
|
80. Proportions
|
Specialist Mathematics
Unit 1
|
Topic 1
Combinatorics |
The Counting and Combinatorics Group
|
31. The Inclusion-Exclusion Principle
32. Derangements 33. The Pigeon Hole Principle |
|
Topic 2
Vectors in the plane |
Vectors Group
|
19. History and Arrows
20. Algebra 21. Linear Independence 22. Plane Geometry Proofs 23. Basis and Scalar Product |
|
Topic 3
Geometry |
The Plane Geometry Group
|
34. Euclid’s Elements
35. Circles 1 36. Circles 2 37. Quadrilaterals |
Unit 2
|
Topic 1
Trigonometry |
Trigonometry Group
|
15. Angles of any Magnitude: Ratios and Angles
16. Compound Angles 17. Functions and Modelling: Part 1 18. Functions and Modelling: Part 2 |
|
Topic 2
Matrices |
Matrices
|
47. Basics
48. Solving Systems 49. Transformations 1 50. Transformations 2 51. Transformations 3 |
|
Topic 3
Real and Complex Numbers |
The Complex Numbers Group
|
60. The Story of the Cubic
61. The Basics |
Unit 3
|
Topic 1
Complex Numbers |
The Complex Numbers Group
|
62. Geometry
63. Polynomials 64. Solutions and Subsets |
|
Topic 2
Functions and Sketching Graphs |
The Other Functions Group
|
38. Rational Functions
|
|
The Calculus Group
|
53. Differentiation and Integration
54. The Fundamental Theorem ** also see the Polynomial Appendix |
|
Topic 3
Vectors in Three Dimensions |
Vectors Group
|
24. The Vector or Cross Product
25. Projections and Functions |
Unit 4
|
Topic 1
Integration and applications of integration |
The Integration Techniques Group
|
58. Integration Techniques: 1
59. Integration Techniques: 2 |
|
Topic 2
Rates of change and differential equations |
The Differential Equations Group
|
65. First Order
66. Homogeneous 67. Direction Fields and the Logistic equation 68. Euler’s method 69. Rectilinear Motion 70. Forces 1 71. Forces 2 72. Simple Harmonic Motion 73. Projectile Motion |
|
Topic 3
Statistical inference |
Sampling
|
77. Introduction
78. Distributions 79. Confidence Intervals 80. Proportions |