
-
General-Y12 Methods
-
1. Functions
- Teacher Notes for Functions
- Student Notes for Functions
- Linear Equations & Inequalities
- Factorising Techniques
- Solving of Quadratic Equations
- The Discriminant
- Odd,Even or neither Functions
- Hybrid functions
- Sums & Products Functions
- Composite functions
- Inverse functions
- Power Functions
- Synthetic Division (Simple Version)
- Synthetic Division (Extended Version)
-
2. Transformations
- Teacher Notes for Transformations
- Student Notes for Transformations
- Transforming Linear Graphs
- Transforming Quadratic Graphs 1
- Transforming Quadratic Graphs 2
- Transforming Cubic Graphs 2
- Transforming Square Root Function
- Transforming Semi Circle Function
- Transformations using Matrices
-
3. Exponentials & Logarithms
- Transformations of The Exponential Function
- Transformations of Exponential Functions (base change)
- Transformations of the Natural Logarithm Function
- Transformations of Logarithmic Functions (base change)
- Solving Exponential Equations Videos
-
4. Circular Functions
- Mr. Wain's Notes Book for Circular Functions
- Student's Notes for Circular functions
- Unit circle Introduction
- Memorizing the Unit Circle
- How to remember Exact Values
- Evaluating Trigonometric Values
- Evaluating Trigonometric Functions
- The Sine Graph
- The Cosine Graph
- The Tangent Graph
- Transforming Sine Function
- Rubber Pencil Illusion
- Transforming Cosine Function
- Transforming Tangent Function
- Graphing Videos
- Solving Circular Functions Videos
-
5. Differentiation
- Mr. Wain's Notes Book for Diffentiation
- Student's Notes Book for Differentiation
- An excellent Calculus resource
- Slope of Tangent from First Principles
- Basic derivative examples
- Basic Differentiation Self Practice Sheet
- Strictly Increasing/Decreasing Functions
- Gradient of Tangent to Sketch the Derivative
- Sketching the Derivative of a Function
- Product Rule
- Differentiation using Product Rule Self Practice Sheet
- Differentiation using Quotient Rule Self Practice Sheet
- The Quotient Rule for Derivatives
- Differentiation of Exponents
- Differentiation of Logarithms
- First Derivative of Sine x Demonstrated by Graphical Method
- Derivatives of Circular Functions
- The Chain Rule
- Differentiation with Chain Rule Self Practice Sheet
- Complex derivatives
- Nat Ayton's VCE Methods videos on Differentiation Rules
- Continuity
- Gradient of Tangent to Sketch the Derivative
-
6. Differentiation Applications
- Tangents and Normals
- Finding the Equation of a Tangent
- Equation of the Tangent and Normal
- Rates of Change
- Displacement, Velocity and Acceleration
- Maximum & Minimum Problems
- Maximum/Minimum Videos
- Types and Nature of Stationary Points
-
7. Integration
- Integration Teacher Notes 2017
- Approximations to Integrals
- Integration Skills
- primitive function
- primitive function
- primitive function
-
8. Discrete Probability
- Discrete Probability Teacher Notes 2017
-
9. Continuous Probability
- Continuous Probability & Stats Teacher's Note 2017
-
10. Exam Preparation
- TI Mathematical Methods 2016 Exam Readiness video
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General-Y12 Methods
Andy Wain, Ronan Downes, Aug 27, 2020

Y12 Methods VCE Maths
Table of Contents
- Functions
- Teacher Notes for Functions
- Student Notes for Functions
- Linear Equations & Inequalities
- Factorising Techniques
- Solving of Quadratic Equations
- The Discriminant
- Odd,Even or neither Functions
- Hybrid functions
- Sums & Products Functions
- Composite functions
- Inverse functions
- Power Functions
- Synthetic Division (Simple Version)
- Synthetic Division (Extended Version)
- Transformations
- Teacher Notes for Transformations
- Student Notes for Transformations
- Transforming Linear Graphs
- Transforming Quadratic Graphs 1
- Transforming Quadratic Graphs 2
- Transforming Cubic Graphs 2
- Transforming Square Root Function
- Transforming Semi Circle Function
- Transformations using Matrices
- Exponentials & Logarithms
- Transformations of The Exponential Function
- Transformations of Exponential Functions (base change)
- Transformations of the Natural Logarithm Function
- Transformations of Logarithmic Functions (base change)
- Solving Exponential Equations Videos
- Circular Functions
- Mr. Wain's Notes Book for Circular Functions
- Student's Notes for Circular functions
- Unit circle Introduction
- Memorizing the Unit Circle
- How to remember Exact Values
- Evaluating Trigonometric Values
- Evaluating Trigonometric Functions
- The Sine Graph
- The Cosine Graph
- The Tangent Graph
- Transforming Sine Function
- Rubber Pencil Illusion
- Transforming Cosine Function
- Transforming Tangent Function
- Graphing Videos
- Solving Circular Functions Videos
- Differentiation
- Mr. Wain's Notes Book for Diffentiation
- Student's Notes Book for Differentiation
- An excellent Calculus resource
- Slope of Tangent from First Principles
- Basic derivative examples
- Basic Differentiation Self Practice Sheet
- Strictly Increasing/Decreasing Functions
- Gradient of Tangent to Sketch the Derivative
- Sketching the Derivative of a Function
- Product Rule
- Differentiation using Product Rule Self Practice Sheet
- Differentiation using Quotient Rule Self Practice Sheet
- The Quotient Rule for Derivatives
- Differentiation of Exponents
- Differentiation of Logarithms
- First Derivative of Sine x Demonstrated by Graphical Method
- Derivatives of Circular Functions
- The Chain Rule
- Differentiation with Chain Rule Self Practice Sheet
- Complex derivatives
- Nat Ayton's VCE Methods videos on Differentiation Rules
- Continuity
- Gradient of Tangent to Sketch the Derivative
- Differentiation Applications
- Tangents and Normals
- Finding the Equation of a Tangent
- Equation of the Tangent and Normal
- Rates of Change
- Displacement, Velocity and Acceleration
- Maximum & Minimum Problems
- Maximum/Minimum Videos
- Types and Nature of Stationary Points
- Integration
- Integration Teacher Notes 2017
- Approximations to Integrals
- Integration Skills
- primitive function
- primitive function
- primitive function
- Discrete Probability
- Discrete Probability Teacher Notes 2017
- Continuous Probability
- Continuous Probability & Stats Teacher's Note 2017
- Exam Preparation
- TI Mathematical Methods 2016 Exam Readiness video
Functions
The basis of the Year 12 Methods Course is knowing the Functions. Students should know each functions properties, shape, key features in the basic form. Underpinning all the functions work is the ability to solve equations.
-
1. Teacher Notes for Functions
-
2. Student Notes for Functions
-
3. Linear Equations & Inequalities
-
4. Factorising Techniques
-
5. Solving of Quadratic Equations
-
6. The Discriminant
-
7. Odd,Even or neither Functions
-
8. Hybrid functions
-
9. Sums & Products Functions
-
10. Composite functions
-
11. Inverse functions
-
12. Power Functions
-
13. Synthetic Division (Simple Version)
-
14. Synthetic Division (Extended Version)
Teacher Notes for Functions
Teacher Notes for functions 2018
Transformations
-
1. Teacher Notes for Transformations
-
2. Student Notes for Transformations
-
3. Transforming Linear Graphs
-
4. Transforming Quadratic Graphs 1
-
5. Transforming Quadratic Graphs 2
-
6. Transforming Cubic Graphs 2
-
7. Transforming Square Root Function
-
8. Transforming Semi Circle Function
-
9. Transformations using Matrices
Transformations of The Exponential Function


Circular Functions
-
1. Mr. Wain's Notes Book for Circular Functions
-
2. Student's Notes for Circular functions
-
3. Unit circle Introduction
-
4. Memorizing the Unit Circle
-
5. How to remember Exact Values
-
6. Evaluating Trigonometric Values
-
7. Evaluating Trigonometric Functions
-
8. The Sine Graph
-
9. The Cosine Graph
-
10. The Tangent Graph
-
11. Transforming Sine Function
-
12. Rubber Pencil Illusion
-
13. Transforming Cosine Function
-
14. Transforming Tangent Function
-
15. Graphing Videos
-
16. Solving Circular Functions Videos
Differentiation
-
1. Mr. Wain's Notes Book for Diffentiation
-
2. Student's Notes Book for Differentiation
-
3. An excellent Calculus resource
-
4. Slope of Tangent from First Principles
-
5. Basic derivative examples
-
6. Basic Differentiation Self Practice Sheet
-
7. Strictly Increasing/Decreasing Functions
-
8. Gradient of Tangent to Sketch the Derivative
-
9. Sketching the Derivative of a Function
-
10. Product Rule
-
11. Differentiation using Product Rule Self Practice Sheet
-
12. Differentiation using Quotient Rule Self Practice Sheet
-
13. The Quotient Rule for Derivatives
-
14. Differentiation of Exponents
-
15. Differentiation of Logarithms
-
16. First Derivative of Sine x Demonstrated by Graphical Method
-
17. Derivatives of Circular Functions
-
18. The Chain Rule
-
19. Differentiation with Chain Rule Self Practice Sheet
-
20. Complex derivatives
-
21. Nat Ayton's VCE Methods videos on Differentiation Rules
-
22. Continuity
-
23. Gradient of Tangent to Sketch the Derivative
Tangents and Normals


TI Mathematical Methods 2016 Exam Readiness video
TI Mathematical Methods 2016 Exam Readiness video
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