Victorian Year 11 Maths Methods Topics

Below are the topics that sit within Victorian Year 11 Maths Methods mathematics. When you click on a certain topic, you will be take to all the subtopics.

• Linear Relations
  Sub Topics:

  • Linearly Related Variables, Linear Equations and Inequations
  • Simultaneous Equations 3X3
  • Linear Graphs and their Equations
  • Intersection of Lines and their Equations
  • Coordinate Geometry of the Straight Line
  • Bisection and Lengths of Line Segments
• Algebra
  Sub Topics:

  • Expansion
  • Factorisation
  • Algebraic Fractions
  • Binomial Expansion
  • Binomial Theorem
  • Sets of Real Numbers
  • Surds
• Quadratic Relations
  Sub Topics:

  • Expanding and Collecting Like Terms
  • Factorising
  • Quadratic Equations
  • Graphing Quadratics
  • Completing the Square and Turning Points
  • Solving Quadratic Inequalities
  • General Quadratic Formula
  • The Discriminant
  • Solving Simultaneous Linear and Quadratic Equations
  • Families of Quadratic Polynomial Functions
  • Quadratic Models
• Collection of Graphs
  Sub Topics:

  • Rectangular Hyperbola
  • The Trucus
  • The Square Root Function
  • Circles
  • Determining Rules
• Functions and Relations
  Sub Topics:

  • Set Notation
  • Relations, Domain and Range
  • Functions
  • One-to-one Functions and Implied Domains
  • Piecewise Functions
  • Applying Function Notation
  • Inverse Functions
  • Functions and Modelling
• Polynomials
  Sub Topics:

  • Language of Polynomials
  • Division of Polynomials
  • Factorisation of Polynomials
  • Solving Cubic Equations
  • Cubic Functions of the form f(x) =a(x-h)^3+k
  • Graphs of Factorised Cubic Functions
  • Solving Cubic Inequalities
  • Families of Cubic Polynomial Functions
  • Quartic and other Polynomial Functions
  • Applications of Polynomial Functions
  • Bisection Method
• Transformations
  Sub Topics:

  • Translations of Functions
  • Dilations and Reflections
  • Combinations of Transformations
  • Determining Transformations
  • Matrices
  • Identities, Inverses and Determinants for 2×2 Matrices
  • Using Matrices with Transformations
  • Transformations of Graphs with Matrices
• Probability
  Sub Topics:

  • Sample Spaces and Probability
  • Estimating Probabilities
  • Multi-Stage Experiments
  • Combining Events
  • Probability Tables
  • Conditional Probability
  • Independent Events
• Counting Methods
  Sub Topics:

  • Addition and Multiplication Principles
  • Arrangements
  • Selections
  • Applications to Probability
  • Pascals Triangle and the Binomial Theorem
• Discrete Probability Distributions
  Sub Topics:

  • Discrete Random Variables
  • Sampling Without Replacement
  • Sampling With Replacement - The Binomial Distribution
• Exponential Functions
  Sub Topics:

  • The Index Laws
  • Rational Indices
  • Graphs of Exponential Functions
  • Solving Exponential Equations and Inequalities
  • Logarithms
  • Using Logarithms to Solve Exponential Equations and Inequalities
  • Graphs of Logarithm Functions
  • Exponential Models and Applications
  • Logarithmic Scales
• Circular Functions
  Sub Topics:

  • Angles in Degrees and Radians
  • Defining Circular Functions
  • Trig Ratios
  • Symmetry Properties
  • Exact Values
  • Graphs of Sine and Cosine
  • Trig Equations
  • Graphs of y = asinn(t+-c) and y=acosn(t+-c)
  • Graphs of y = asinn(t+-c) +-b and y=acosn(t+-c)+-b
  • Symmetric Properties and Pythagorean Identity
  • Tangent Function
  • Numerical Methods with CAS calculator
  • General Solution of Trig Equations
  • Applications of Circular Functions
• Rates of Change
  Sub Topics:

  • Recognising Relationships
  • Constant Rate of Change
  • Average Rate of Change
  • Instantaneous Rate of Change
  • Position and Average Velocity
• Differential and Antidifferentiation of Polynomials
  Sub Topics:

  • The Derivative
  • Rules of Differentiation
  • Differentiating Functions With Negative Indices
  • Graphs of Derivative Function
  • Antidifferentiation of Polynomial Functions
  • Limits and Continuity
  • When a Function is Differentiable
• Applications of Differentiation and Antidifferentiation
  Sub Topics:

  • Tangents and Normals
  • Rates of Change
  • Stationary Points
  • Types of Stationary Points
  • Maximum and Minimum Problems
  • Applications of Differentiation to Kinematics
  • Applications of Antidifferentiation to Kinematics
  • Families of Functions and Transformations
  • Newtons Method to Solve Equations
• Further Differentiation and Antidifferentiation
  Sub Topics:

  • The Chain Rule
  • Differentiating Rational Powers
  • Antidifferentiating Rational Powers
  • The Second Derivative
  • Sketch Graphs
• Integration
  Sub Topics:

  • Estimating the Area
  • The Definite Integral
  • Signed Area