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Mathematics
VCE Methods Unit 1
>
1 - Mathematical Skills
>
1A - Organising numbers
1B - Rational numbers
1C - Irrational numbers
1D - Algebraic fractions
1E - Working with formulas
1F - Defining rules (CAS)
2 - Linear relations
>
2A - Solving linear equations
2B - Linear graphs
2C - Linear inequations
2D - Simultaneous linear equations
2E - Linear models
3 - Coordinate geometry
>
3A - Gradients and angles
3B - Finding the equation of a line
3C - Distance between two points
3D - Midpoints
3E - Parallel and perpendicular lines
4 - Quadratic functions
>
4A - Expanding quadratics
4B - Factorising quadratics
4C - Solving quadratic equations
4D - The general quadratic formula
4E - The discriminant
4F - Completing the square
4G - Graphing quadratic functions
4H - Solving quadratic simultaneous equations
4I - Solving quadratic inequations
4J - Rules of quadratic graphs
4K - Modelling with quadratic functions
4L - Exploring rates of change with parabolas
5 - Transforming graphs
>
5A - Exploring transformations
5B - Introduction to non-linear graphs
5C - The hyperbola function
5D - The truncus function
5E - The square root function
5F - Circles and semicircles
5G - Determining the transformations that have occurred
5H - Determining the rule of a graph
5I - Transforming graphs using matrices
>
5I.1 - Introduction to matrices
5I.2 - Square matrices
5I.3 - Using matrices to perform transformations
6 - Functions and relations
>
6A - Relations
6B - Functions
6C - Hybrid functions
6D - Inverse functions
7 - Polynomial functions
>
7A - Introduction to polynomials
7B - Identifying factors of a polynomial
7C - Methods for factorising polynomials
>
7C.1 - Long division
7C.2 - Synthetic division
7D - Methods for solving polynomial equations
7E - Families of cubic functions
7F - Families of quartic functions
7G - Higher order polynomials
7H - Solving polynomial inequations
7I - Rules of polynomial functions
7J - Modelling with polynomial functions
8 - Probability
>
8A - Introduction to probability
8B - Representing sample spaces
>
8B.1 - Venn diagrams
8B.2 - Grids and tables
8B.3 - Tree diagrams
8B.4 - Karnaugh maps
8C - The addition rule for probability
8D - Conditional probability
8E - The law of total probabilty
8F - Independent events
8G - Simulations in probability
8H - Estimating probabilities using area
Unit 1 - Review
VCE Methods Unit 2
>
9 - Methods for counting
>
9A - Addition and multiplication principles
9B - Arrangements
9C - Selections
9D - Pascal's triangle
10 - Discrete probability
>
10A - Discrete random variables
10B - Sampling without replacement
10C - The binomial distribution
11 - Circular functions
>
11A - The unit circle
11B - Defining the circular functions
11C - Exact values
11D - Solving trigonometric equations
11E - More techniques for solving
11F - Graphing sine and cosine
11G - Graphing tangent
11H - Modelling with circular functions
12 - Exponential functions
>
12A - Index laws
12B - Solving exponential equations
12C - Graphing exponential functions
12D - Logarithmic properties and laws
12E - Logarithmic equations
12F - Graphing logarithmic functions
12G - Exponential and logarithmic functions are inverses
12H - Applications of exponential and logarithmic functions
13 - Rates of change
>
13A - Analysing relationships
13B - Constant rate of change
13C - Average rate of change
13D - Instantaneous rate of change
14 - Differential calculus
>
14A - The derivative
14B - Limits
14C - Conditions for differentiability
14D - Differentiation of polynomials
14E - Differentiation of power functions
14F - Differentiation of other functions
14G - The nature of stationary points
14H - Functions and derivatives
14I - Applications of differentiation
14J - Newton's method
15 - Integral calculus
>
15A - Introduction to integration
15B - Integration of rational powers
15C - Definite integrals
15D - Area under a curve
>
15D.1 - Approximating area
15D.2 - Area under a curve
15D.3 - Area between two curves
15E - Applications to kinematics
Unit 2 - Review
VCE Methods Units 3 and 4
>
1 - Coordinate geometry
>
1D - Simultaneous linear equations
2 - Functions and graphs
>
2F - Composite functions
3 - Polynomial functions
4 - Exponential functions
5 - Circular functions
6 - Differential calculus
>
6A - Review of differentiation
6B - Differentiation of power functions
6C - Conditions for differentiability
6D - Graphs of derivative functions
6E - Limits and continuity
6F - Differentiation of other functions
6G - Chain, product and quotient rules
6H - More on differentiation by rule
7 - Applications of differentiation
>
7A - Tangents and normal lines
7B - Rates of change
7C - Stationary points
7D - Strictly increasing and strictly decreasing
7E - Optimisation
7F - Absolute maximums and minimums
7G - Kinematics (Part 1)
8 - Integral calculus
>
8A - Introduction to integration
8B - Integration of polynomials
8C - Finding a unique solution
8D - Integration of power functions
8E - Integration resulting in logarithms
8F - Integration of exponential functions
8G - Integration of circular functions
8H - Integration of more complex functions
8I - The definite integral
9 - Applications of integration
10 - Probability
11 - Discrete random variables
12 - The binomial distribution
>
12A - The binomial distribution
12B - Expectation and variance
12C - Binomial distribution on CAS
12D - Finding the sample size
13 - Continuous random variables
14 - The normal distribution
>
14A - The normal distribution
14B - The standard normal distribution
14C - Normal distribution on CAS
14D - Finding the mean and standard deviation
14E - Approximating the binomial distribution
15 - Statistical inference
>
15A - Population parameters and sample statistics
15B - Exact distributions
15C - Approximate distributions
15D - Confidence intervals
Examination revision
>
Revision Resources
VCAA Exams 2006 - 2015
>
2006 VCAA Exams
VCAA Exams 2016 - 2020
Contact
8B.1 - Venn diagrams
Home
Mathematics
VCE Methods Unit 1
>
1 - Mathematical Skills
>
1A - Organising numbers
1B - Rational numbers
1C - Irrational numbers
1D - Algebraic fractions
1E - Working with formulas
1F - Defining rules (CAS)
2 - Linear relations
>
2A - Solving linear equations
2B - Linear graphs
2C - Linear inequations
2D - Simultaneous linear equations
2E - Linear models
3 - Coordinate geometry
>
3A - Gradients and angles
3B - Finding the equation of a line
3C - Distance between two points
3D - Midpoints
3E - Parallel and perpendicular lines
4 - Quadratic functions
>
4A - Expanding quadratics
4B - Factorising quadratics
4C - Solving quadratic equations
4D - The general quadratic formula
4E - The discriminant
4F - Completing the square
4G - Graphing quadratic functions
4H - Solving quadratic simultaneous equations
4I - Solving quadratic inequations
4J - Rules of quadratic graphs
4K - Modelling with quadratic functions
4L - Exploring rates of change with parabolas
5 - Transforming graphs
>
5A - Exploring transformations
5B - Introduction to non-linear graphs
5C - The hyperbola function
5D - The truncus function
5E - The square root function
5F - Circles and semicircles
5G - Determining the transformations that have occurred
5H - Determining the rule of a graph
5I - Transforming graphs using matrices
>
5I.1 - Introduction to matrices
5I.2 - Square matrices
5I.3 - Using matrices to perform transformations
6 - Functions and relations
>
6A - Relations
6B - Functions
6C - Hybrid functions
6D - Inverse functions
7 - Polynomial functions
>
7A - Introduction to polynomials
7B - Identifying factors of a polynomial
7C - Methods for factorising polynomials
>
7C.1 - Long division
7C.2 - Synthetic division
7D - Methods for solving polynomial equations
7E - Families of cubic functions
7F - Families of quartic functions
7G - Higher order polynomials
7H - Solving polynomial inequations
7I - Rules of polynomial functions
7J - Modelling with polynomial functions
8 - Probability
>
8A - Introduction to probability
8B - Representing sample spaces
>
8B.1 - Venn diagrams
8B.2 - Grids and tables
8B.3 - Tree diagrams
8B.4 - Karnaugh maps
8C - The addition rule for probability
8D - Conditional probability
8E - The law of total probabilty
8F - Independent events
8G - Simulations in probability
8H - Estimating probabilities using area
Unit 1 - Review
VCE Methods Unit 2
>
9 - Methods for counting
>
9A - Addition and multiplication principles
9B - Arrangements
9C - Selections
9D - Pascal's triangle
10 - Discrete probability
>
10A - Discrete random variables
10B - Sampling without replacement
10C - The binomial distribution
11 - Circular functions
>
11A - The unit circle
11B - Defining the circular functions
11C - Exact values
11D - Solving trigonometric equations
11E - More techniques for solving
11F - Graphing sine and cosine
11G - Graphing tangent
11H - Modelling with circular functions
12 - Exponential functions
>
12A - Index laws
12B - Solving exponential equations
12C - Graphing exponential functions
12D - Logarithmic properties and laws
12E - Logarithmic equations
12F - Graphing logarithmic functions
12G - Exponential and logarithmic functions are inverses
12H - Applications of exponential and logarithmic functions
13 - Rates of change
>
13A - Analysing relationships
13B - Constant rate of change
13C - Average rate of change
13D - Instantaneous rate of change
14 - Differential calculus
>
14A - The derivative
14B - Limits
14C - Conditions for differentiability
14D - Differentiation of polynomials
14E - Differentiation of power functions
14F - Differentiation of other functions
14G - The nature of stationary points
14H - Functions and derivatives
14I - Applications of differentiation
14J - Newton's method
15 - Integral calculus
>
15A - Introduction to integration
15B - Integration of rational powers
15C - Definite integrals
15D - Area under a curve
>
15D.1 - Approximating area
15D.2 - Area under a curve
15D.3 - Area between two curves
15E - Applications to kinematics
Unit 2 - Review
VCE Methods Units 3 and 4
>
1 - Coordinate geometry
>
1D - Simultaneous linear equations
2 - Functions and graphs
>
2F - Composite functions
3 - Polynomial functions
4 - Exponential functions
5 - Circular functions
6 - Differential calculus
>
6A - Review of differentiation
6B - Differentiation of power functions
6C - Conditions for differentiability
6D - Graphs of derivative functions
6E - Limits and continuity
6F - Differentiation of other functions
6G - Chain, product and quotient rules
6H - More on differentiation by rule
7 - Applications of differentiation
>
7A - Tangents and normal lines
7B - Rates of change
7C - Stationary points
7D - Strictly increasing and strictly decreasing
7E - Optimisation
7F - Absolute maximums and minimums
7G - Kinematics (Part 1)
8 - Integral calculus
>
8A - Introduction to integration
8B - Integration of polynomials
8C - Finding a unique solution
8D - Integration of power functions
8E - Integration resulting in logarithms
8F - Integration of exponential functions
8G - Integration of circular functions
8H - Integration of more complex functions
8I - The definite integral
9 - Applications of integration
10 - Probability
11 - Discrete random variables
12 - The binomial distribution
>
12A - The binomial distribution
12B - Expectation and variance
12C - Binomial distribution on CAS
12D - Finding the sample size
13 - Continuous random variables
14 - The normal distribution
>
14A - The normal distribution
14B - The standard normal distribution
14C - Normal distribution on CAS
14D - Finding the mean and standard deviation
14E - Approximating the binomial distribution
15 - Statistical inference
>
15A - Population parameters and sample statistics
15B - Exact distributions
15C - Approximate distributions
15D - Confidence intervals
Examination revision
>
Revision Resources
VCAA Exams 2006 - 2015
>
2006 VCAA Exams
VCAA Exams 2016 - 2020
Contact