Victorian Year 11 Maths Specialist Topics

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

• Algebra Part 1
  Sub Topics:

  • Indices
  • Standard Form
  • Solving Linear Equations and Simultaneous Linear Equations
  • Solving Problems with Linear Equations
  • Solving Problems with Simultaneous Linear Equations
  • Substitution and Transposition of Formulas
  • Algebraic Fractions
  • Literal Equations
• Number Systems and Sets
  Sub Topics:

  • Set Notation
  • Sets of Numbers
  • The Modulus Function
  • Surds
  • Natural Numbers
  • Linear Diophantine Equations
  • The Euclidean Algorithm
  • Problems Involving Sets
• Variation
  Sub Topics:

  • Direct Variation
  • Inverse Variation
  • Fitting Data
  • Joint Variation
  • Part Variation
• Sequences and Series
  Sub Topics:

  • Introduction to Sequences
  • Arithmetic Sequences
  • Arithmetic Series
  • Geometric Sequences
  • Geometric Series
  • Infinite Geometric Series
• Algebra Part 2
  Sub Topics:

  • Polynomial Identities
  • Quadratic Equations
  • Applying Quadratic Equations to Rate Problems
  • Partial Fractions
  • Simultaneous Equations
• Circular Functions
  Sub Topics:

  • Basic Counting Methods
  • Factorial Notation and Permutations
  • Permutations With Restrictions
  • Permutations of Like Objects
  • Combinations
  • Combinations With Restrictions
  • Pascals Triangle
  • The Pigeonhole Principle
  • The Inclusion–Exclusion Principle
• Linear and Non Linear Relationships
  Sub Topics:

  • Direct Proof
  • Proof by Contrapositive
  • Proof by Contradiction
  • Equivalent Statements
  • Disproving Statements
  • Mathematical Induction
• Geometry in the Plane And Proof
  Sub Topics:

  • Points, Lines and Angles
  • Triangles and Polygons
  • Congruence and Proofs
  • Pythagoras Theorem
  • Ratios
  • An Introduction to Similarity
  • Proofs Involving Similarity
  • Areas, Volumes and Similarity
  • The golden ratio
• Circle Geometry
  Sub Topics:

  • Angle Properties of the Circle
  • Tangents
  • Chords in Circles
• Sampling and Sampling Distributions
  Sub Topics:

  • Populations and Samples
  • The Distribution of the Sample Proportion
• Trigonometric Ratios and Applications
  Sub Topics:

  • Reviewing Trigonometry
  • The Sine Rule
  • The Cosine Rule
  • The Area of a Triangle
  • Circle Mensuration
  • Angles of Elevation, Angles of Depression and Bearings
  • Problems In Three Dimensions
• Further Trigonometry
  Sub Topics:

  • Symmetry Properties
  • The Tangent Function
  • Reciprocal Functions and The Pythagorean Identity
  • Addition Formulas and double angle formulas
  • Simplifying acosx+bsinx
• Graphing Techniques
  Sub Topics:

  • Reciprocal Functions
  • Locus of Points
  • Parabolas
  • Ellipses
  • Hyperbolas
  • Parametric Equations
  • Polar Coordinates
  • Graphing Using Polar Coordinates
  • Further Graphing Using Polar Coordinates
• Complex Numbers
  Sub Topics:

  • Starting to Build the Complex Numbers
  • Multiplication and Division of Complex Numbers
  • Argand Diagrams
  • Solving Equations Over The Complex Numbers
  • Polar Form of a Complex Number
• Matrices
  Sub Topics:

  • Matrix Notation
  • Addition, Subtraction and Multiplication by a Real Number
  • Multiplication of Matrices
  • Identities, Inverses and Determinants for 2×2 Matrices
  • Solution of Simultaneous Equations Using Matrices
• Transformations of The Plane
  Sub Topics:

  • Linear Transformations
  • Geometric Transformations
  • Rotations and General Reflections
  • Composition of Transformations
  • Inverse Transformations
  • Transformations of Straight Lines and Other Graphs
  • Area and Determinant
  • General Transformations
• Vectors
  Sub Topics:

  • Introduction to Vectors
  • Components of Vectors
  • Scalar Product of Vectors
  • Vector Projections
  • Geometric Proofs
  • Vectors In Three Dimensions
• Kinematics
  Sub Topics:

  • Position, Velocity and Acceleration
  • Applications of Antidifferentiation to Kinematics
  • Constant Acceleration
  • Velocity–Time Graphs
• Statics of a Particle
  Sub Topics:

  • Forces and Triangle of Forces
  • Resolution of Forces