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Stage 6
All new Stage 6 courses are being implemented in Year 11 from 2019/2010.

 

Mathematics Standard

The Mathematics Standard courses are focused on enabling students to use mathematics effectively, efficiently and critically to make informed decisions in their daily lives. The courses provide students with the opportunities to develop an understanding of and competence in further aspects of mathematics through a variety of real world applications.

Year 11 Course – 120 hours

Topics Subtopics
Algebra
  • MS-A1  Formulae and Equations
  • MS-A2  Linear Relationships
Measurement
  • MS-M1  Applications of Measurement
  • MS-M2  Working with Time
Financial Mathematics
  • MS-F1  Money Matters
Statistical Analysis
  • MS-S1  Data Analysis
  • MS-S2  Relative Frequency and Probability

 Mathematics Standard 1, Year 12 Course – 120 hours

Topics Subtopics
Algebra
  • MS-A3  Types of Relationships
Measurement
  • MS-M3  Right-angled Trigonometry
  • MS-M4  Rates
  • MS-M5  Scale Drawings

Financial Mathematics

 

  • MS-F2  Investments
  • MS-F3  Depreciation and Loans
Statistical Analysis
  • MS-S3  Further Statistical Analysis
Networks
  • MS-N1  Networks and Paths

 

Mathematics Standard 2, Year 12 Course – 120 hours

Topics Subtopics
Algebra
  • MS-A4  Types of Relationships
Measurement
  • MS-M6  Non-Right-angled Trigonometry
  • MS-M7  Rates and Ratios
Financial Mathematics
  • MS-F4  Investments and Loans
  • MS-F5  Annuities
Statistical Analysis
  • MS-S4  Bivariate Data Analysis
  • MS-S5  The Normal Distribution
Networks
  • MS-N2  Network Concepts
  • MS-N3  Critical Path Analysis

 

Mathematics Advanced

This course gives students an understanding of and competence in further aspects of mathematics applicable to the real world. This course expands on the content from the Stage 5 5.3 course. Topics such as differential and integral calculus are introduced.

Year 11 Course – 120 Hours

Topics Subtopics
Functions
  • MA-F1  Working with Functions
Trigonometric Functions
  • MA-T1  Trigonometry and Measure of Angles
  • MA-T2  Trigonometric Functions and Identities
Calculus
  • MA-C1  Introduction to Differentiation
Exponential and Logarithmic Functions
  • MA-E1  Logarithms and Exponentials
Statistical Analysis
  • MA-S1  Probability and Discrete Probability Distributions

Year 12 Course – 120 Hours

Topic Subtopics
Functions
  • MA-F2  Graphing Techniques
Trigonometric Functions
  • MA-T3  Trigonometric Functions and Graphs
Calculus
  • MA-C2  Differential Calculus
  • MA-C3  Applications of Differentiation
  • MA-C4  Integral Calculus
Financial Mathematics
  • MA-M1  Modelling Financial Situations
Statistical Analysis
  • MA-S2  Descriptive Statistics and Bivariate Data Analysis
  • MA-S3  Random Variables

Mathematics Extension 1

This course which includes the whole of the Advanced course, is intended to give students a thorough understanding of and competence in aspects of mathematics including many which are applicable to the real world.

Year 11 Course – 60 Hours

Topics Subtopics
Functions
  • ME-F1  Further Work with Functions
  • ME-F2  Polynomials
Trigonometric Functions
  • ME-T1  Inverse Trigonometric Functions
  • ME-T2  Further Trigonometric Identities
Calculus
  • ME-C1  Rates of Change
Combinatorics
  • ME-A1  Working with Combinatorics

Year 12 Course – 60 Hours

Topics Subtopics
Proof
  • ME-P1  Proof by Mathematical Induction
Vectors
  • ME-V1  Introduction to Vectors
Trigonometric Functions
  • ME-T3  Trigonometric Equations
Calculus
  • ME-C2  Further Calculus Skills
  • ME-C3  Applications of Calculus
Statistical Analysis
  • ME-S1  The Binomial Distribution

Mathematics Extension 2

This course will introduce students to many aspects of pure mathematics. Based on a student’s result in the Extension 1 course, a student may be encouraged to enrol in this course.

Year 12 Course – 60 Hours

Topics Subtopics
Proof
  • MEX-P1  The Nature of Proof
  • MEX-P2  Further Proof by Mathematical Induction
Vectors
  • MEX-V1  Further Work with Vectors
Complex Numbers
  • MEX-N1  Introduction to Complex Numbers
  • MEX-N2  Using Complex Numbers
Calculus
  • MEX-C1  Further Integration
Mechanics
  • MEX-M1  Applications of Calculus to Mechanics