Tasmanian Year 11 Maths Methods

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

• Reviewing Linear Equations
  Sub Topics:

  • Linear Equations
  • Constructing Linear Equations
  • Simultaneous Equations
  • Constructing Simultaneous Linear Equations
  • Solving Linear Inequalities
  • Using And Transposing Formulas
• Coordinate geometry and linear relations
  Sub Topics:

  • Distance And Midpoints
  • The Gradient Of A Straight Line
  • The Equation Of A Straight Line
  • Graphing Straight Lines
  • Parallel And Perpendicular Lines
  • Families Of Straight Lines
  • Linear Models
  • Simultaneous Linear Equations
• Quadratics
  Sub Topics:

  • Expanding And Collecting Like Terms
  • Factorising
  • Quadratic Equations
  • Graphing Quadratics
  • Completing The Square And Turning Points
  • Graphing Quadratics In Polynomial Form
  • Solving Quadratic Inequalities
  • The General Quadratic Formula
  • The Discriminant
  • Solving Simultaneous Linear And Quadratic Equations
  • Families Of Quadratic Polynomial Functions
  • Quadratic Models
• A gallery of graphs
  Sub Topics:

  • Rectangular Hyperbolas
  • The Graph Of y2=x
  • The Graph Of y=SQRT{X}
  • Circles
  • Determining Rules
• Variation
  Sub Topics:

  • Direct Variation
  • Inverse Variation
  • Fitting Data
  • Joint Variation
  • Part Variation
• Functions, relations and transformations
  Sub Topics:

  • Set Notation And Sets Of Numbers
  • Relations, Domain And Range
  • Functions
  • Piecewise-Devined Functions
  • Applying Function Notation
  • Translations Of Functions
  • Dilations And Reflections
  • Combinations Of Transformations
  • Determining Transformations
  • Functions And Modelling Exercises
• Polynomials
  Sub Topics:

  • The Language Of Polynomials
  • Division Of Polynomials
  • Factorisation Of Polynomials
  • Solving Cubic Equations
  • Cubic Functions Of The Formf(X) =A(X−H)3+K
  • Graphs Of Factorised Cubic Functions
  • Families Of Cubic Polynomial Functions
  • Quartic And Other Polynomial Functions
  • Applications Of Polynomial Functions
• 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
  • Pascal’s triangle and the binomial theorem
• Circular functions
  Sub Topics:

  • Measuring Angles In Degrees And Radians
  • Defining Trigonometric Functions: Sine And Cosine
  • Another Trigonometric Function: Tangent
  • Reviewing Trigonometric Ratios
  • Symmetry Properties Of Trigonometric Functions
  • Exact Values Of Trigonometric Functions
  • Graphs Of Sine And Cosine
  • Solution Of Trigonometric Equations
  • Sketch Graphs Of y=Asinn(T±Ε) Andy=Acosn(T±Ε)
  • Sketch Graphs Of y=Asinn(T±Ε)±Bandy=Acosn(T±Ε)±B
  • The Tangent Function
  • Further Symmetry Properties And The Pythagorean Identity
  • Addition Formulas and double angle formulas
  • Applications Of Trigonometric Functions
• 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
• Exponential functions and logarithms
  Sub Topics:

  • The Index Laws
  • Rational Indices
  • Standard Form
  • 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
• Sequences and series
  Sub Topics:

  • Introduction To Sequences
  • Arithmetic Sequences
  • Arithmetic Series
  • Geometric Sequences
  • Geometric Series
  • Zeno’s Paradox And Innite Geometric Series
• Differentiation and antidifferentiation of polynomials
  Sub Topics:

  • Average rate of change
  • Instantaneous rate of change
  • The Derivative
  • Rules For Differentiation
  • Differentiating Functions With Negative Indices
  • Graphs Of The Derivative Function
  • Antidifferentiation of Polynomial Functions
  • Limits And Continuity
  • When Is A Function Differentiable?
• Applications of differentiation and antidifferentiation of polynomials
  Sub Topics:

  • Tangents And Normals
  • Rates Of Change
  • Stationary Points
  • Types Of Stationary Points
  • Applications To Maximum And Minimum Problems
  • Applications Of Differentiation To Kinematics
  • Applications of Antidifferentiation to Kinematics
  • Families of Functions and Transformations