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Mathematical Methods

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 Does this subject contribute to an ATAR? (General subject)

How many credits does this subject contribute towards QCE? 4

What is Mathematical Methods?

Mathematical Methods' major domains are Algebra, Functions, relations and their graphs, Calculus and Statistics.

Mathematical Methods enables students to see the connections between mathematics and other areas of the curriculum and apply their mathematical skills to real-world problems, becoming critical thinkers, innovators and problem-solvers.

Students learn topics that are developed systematically, with increasing levels of sophistication, complexity and connection, and build on algebra, functions and their graphs, and probability from the  P –10 Australian Curriculum. Calculus is essential for developing an understanding of the physical world. The domain Statistics is used to describe and analyse phenomena involving uncertainty and variation. Both are the basis for developing effective models of the world and solving complex and abstract mathematical problems.

Students develop the ability to translate written, numerical, algebraic, symbolic and graphical information from one representation to another. They make complex use of factual knowledge to successfully formulate, represent and solve mathematical problems.

What makes a student suited to Mathematical Methods?

Students who achieve success in Mathematical Methods are those who :

  • are required to do further mathematics and are motivated to be successful
  • are able to use complex algebra
  • are able to manage their time and are successful in tests

What prerequisites must students meet in order to take this subject?

Minimum of B standard in Year 9 Mathematics Extension

What is the cost of this subject?

What materials or equipment do I need for this subject?

  • Scientific Calculator
  • Graphics Calculator
  • A4 exercise book for class use
  • A4 bound notebook for Cornell Note taking
  • A4 Box File with zip
  • Internet Access for digital textbook access

What do students study in this subject and how are they assessed?

  Unit OverviewsAssessment
Year 10Semester 1Pythagoras and trigonometry
Chance and Statistics
Data Representation and interpretation
Measurement and geometric proofs
Summative internal assessment 1:
· Problem-solving and modelling task
Summative internal assessment 2:
· End of semester examination
 Semester 2Linear and non-linear relationships
Patterns and algebra
Financial mathematics
Arithmetic and geometric sequences
Introduction to rates of change
Summative internal assessment 3:
· Problem-solving and modelling task
Summative internal assessment 4:
· End of year examination
Year 11Unit 1Algebra, statistics and functions
• Arithmetic and geometric sequences and series 1
• Functions and graphs
• Counting and probability
• Exponential functions 1
• Arithmetic and geometric sequences
Formative internal assessment 1: 20%
• Problem-solving and modelling task
Formative internal assessment 2: 15%
• Examination
Unit 2Calculus and further functions
• Exponential functions 2
• The logarithmic function 1
• Trigonometric functions 1
• Introduction to differential calculus
• Further differentiation and applications 1
• Discrete random
Formative internal assessment 3: 15%
• Examination
Formative internal assessment 4: 50%
• Examination
Year 12Unit 3Further calculus
• The logarithmic function 2
• Further differentiation and applications 2
• Integrals
Summative internal assessment 1 (IA1): 20%
• Problem-solving and modelling task
Summative internal assessment 2 (IA2): 15%
• Examination
Unit 4Further functions and statistics
• Further differentiation and applications 3
• Trigonometric functions 2
• Discrete random variables 2
• Continuous random variables and the normal distribution
• Interval estimates for proportions
Summative internal assessment 3 (IA3): 15%
• Examination
Summative external assessment (EA): 50%
• Examination


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Last reviewed 13 September 2019
Last updated 13 September 2019