General-Y12 Methods

Andy Wain, Ronan Downes, 27 août 2020

Y12 Methods VCE Maths

Table des matières

  1. Functions
    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)
  2. 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
  3. Exponentials & Logarithms
    1. Transformations of The Exponential Function
    2. Transformations of Exponential Functions (base change)
    3. Transformations of the Natural Logarithm Function
    4. Transformations of Logarithmic Functions (base change)
    5. Solving Exponential Equations Videos
  4. 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
  5. 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
  6. Differentiation Applications
    1. Tangents and Normals
    2. Finding the Equation of a Tangent
    3. Equation of the Tangent and Normal
    4. Rates of Change
    5. Displacement, Velocity and Acceleration
    6. Maximum & Minimum Problems
    7. Maximum/Minimum Videos
    8. Types and Nature of Stationary Points
  7. Integration
    1. Integration Teacher Notes 2017
    2. Approximations to Integrals
    3. Integration Skills
    4. primitive function
    5. primitive function
    6. primitive function
  8. Discrete Probability
    1. Discrete Probability Teacher Notes 2017
  9. Continuous Probability
    1. Continuous Probability & Stats Teacher's Note 2017
  10. Exam Preparation
    1. TI Mathematical Methods 2016 Exam Readiness video

1.

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)

1.1.

Teacher Notes for Functions

Teacher Notes for functions 2018
– Andy Wain

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

1.7.

–

1.8.

–

1.9.

–

1.10.

–

1.11.

–

1.12.

–

1.13.

–

1.14.

–

2.

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

2.1.

Teacher Notes for Transformations

Teacher Notes for Transformations 2017
– Andy Wain

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

2.9.

–

3.

Exponentials & Logarithms

  • 1. Transformations of The Exponential Function
  • 2. Transformations of Exponential Functions (base change)
  • 3. Transformations of the Natural Logarithm Function
  • 4. Transformations of Logarithmic Functions (base change)
  • 5. Solving Exponential Equations Videos

3.1.

Transformations of The Exponential Function

– Andy Wain

3.2.

–

3.3.

–

3.4.

–

3.5.

–

4.

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

4.1.

Mr. Wain's Notes Book for Circular Functions

Mr. Wain's Notes Book for Circular Functions
Mr. Wain's Notes for Circular functions
This file is a copy of the Notes used for teaching VCE Methods Circular Functions
– Andy Wain

4.2.

–

4.3.

–

4.4.

–

4.5.

–

4.6.

–

4.7.

–

4.8.

–

4.9.

–

4.10.

–

4.11.

–

4.12.

–

4.13.

–

4.14.

–

4.15.

–

4.16.

–

5.

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

5.1.

Mr. Wain's Notes Book for Diffentiation

Teacher Notes for differentiation 2017
– Andy Wain

5.2.

–

5.3.

–

5.4.

–

5.5.

–

5.6.

–

5.7.

–

5.8.

–

5.9.

–

5.10.

–

5.11.

–

5.12.

–

5.13.

–

5.14.

–

5.15.

–

5.16.

–

5.17.

–

5.18.

–

5.19.

–

5.20.

–

5.21.

–

5.22.

–

5.23.

–

6.

Differentiation Applications

  • 1. Tangents and Normals
  • 2. Finding the Equation of a Tangent
  • 3. Equation of the Tangent and Normal
  • 4. Rates of Change
  • 5. Displacement, Velocity and Acceleration
  • 6. Maximum & Minimum Problems
  • 7. Maximum/Minimum Videos
  • 8. Types and Nature of Stationary Points

6.1.

Tangents and Normals

– Andy Wain

6.2.

–

6.3.

–

6.4.

–

6.5.

–

6.6.

–

6.7.

–

6.8.

–

7.

Integration

  • 1. Integration Teacher Notes 2017
  • 2. Approximations to Integrals
  • 3. Integration Skills
  • 4. primitive function
  • 5. primitive function
  • 6. primitive function

7.1.

Integration Teacher Notes 2017

Teacher notes for integration 2017
– Andy Wain

7.2.

–

7.3.

–

7.4.

–

7.5.

–

7.6.

–

8.

Discrete Probability

  • 1. Discrete Probability Teacher Notes 2017

8.1.

Discrete Probability Teacher Notes 2017

Teacher notes for Discrete & Binomial Probability 2017
– Andy Wain

9.

Continuous Probability

  • 1. Continuous Probability & Stats Teacher's Note 2017

9.1.

Continuous Probability & Stats Teacher's Note 2017

Teacher notes for Continuous Random Variables and their Probability Distributions notes 2017
– Andy Wain

10.

Exam Preparation

  • 1. TI Mathematical Methods 2016 Exam Readiness video

10.1.

TI Mathematical Methods 2016 Exam Readiness video

TI Mathematical Methods 2016 Exam Readiness video
– Andy Wain

Information