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NSW Syllabuses

Outcomes

All aspects of Working Mathematically, as described in this syllabus document, are integral to the outcomes of the Mathematics Advanced Stage 6 course, in particular outcomes MA11-8, MA11-9, MA12-9 and MA12-10.

View the outcomes in an interactive table linked to content.

Objective

Students:

  • develop knowledge, understanding and skills about efficient strategies for pattern recognition, generalisation and modelling techniques
Year 11 outcomes
A student:
Year 12 outcomes
A student:
MA11-1 uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems
MA12-1 uses detailed algebraic and graphical techniques to critically construct, model and evaluate arguments in a range of familiar and unfamiliar contexts
 
MA12-2 models and solves problems and makes informed decisions about financial situations using mathematical reasoning and techniques
 
MA12-3 applies calculus techniques to model and solve problems

 

Objective

Students:

  • develop the ability to use mathematical concepts and skills and apply complex techniques to the modelling and solution of problems in algebra and functions, measurement, financial mathematics, calculus, data and statistics and probability
Year 11 outcomes
A student:
Year 12 outcomes
A student:
MA11-2 uses the concepts of functions and relations to model, analyse and solve practical problems
MA12-4 applies the concepts and techniques of arithmetic and geometric sequences and series in the solution of problems
MA11-3 uses the concepts and techniques of trigonometry in the solution of equations and problems involving geometric shapes
MA12-5 applies the concepts and techniques of periodic functions in the solution of problems involving trigonometric graphs
MA11-4 uses the concepts and techniques of periodic functions in the solutions of trigonometric equations or proof of trigonometric identities
MA11-5 interprets the meaning of the derivative, determines the derivative of functions and applies these to solve simple practical problems
MA12-6 applies appropriate differentiation methods to solve problems
MA11-6 manipulates and solves expressions using the logarithmic and indicial laws, and uses logarithms and exponential functions to solve practical problems
MA12-7 applies the concepts and techniques of indefinite and definite integrals in the solution of problems
MA11-7 uses concepts and techniques from statistics and probability to present and interpret data and solve problems in a variety of contexts, including the use of probability distributions
MA12-8 solves problems using appropriate statistical processes

 

Objective

Students:

  • develop the ability to use advanced mathematical models and techniques, aided by appropriate technology, to organise information, investigate, model and solve problems and interpret a variety of practical situations
Year 11 outcomes
A student:
Year 12 outcomes
A student:
MA11-8 uses appropriate technology to investigate, organise, model and interpret information in a range of contexts
MA12-9 chooses and uses appropriate technology effectively in a range of contexts, models and applies critical thinking to recognise appropriate times for such use

 

Objective

Students:

  • develop the ability to communicate and interpret mathematics logically and concisely in a variety of forms
Year 11 outcomes
A student:
Year 12 outcomes
A student:
MA11-9 provides reasoning to support conclusions which are appropriate to the context
MA12-10 constructs arguments to prove and justify results and provides reasoning to support conclusions which are appropriate to the context