MATHEMATICAL WHETSTONES
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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

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 

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