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NSW Syllabuses

Outcomes

Table of Objectives and Outcomes – Continuum of Learning

All aspects of Working Mathematically, as described in this syllabus, are integral to the outcomes of the Mathematics Extension 1 Stage 6 course, in particular outcomes ME11-6, ME11-7, ME12-6 and ME12-7.

View the outcomes in an interactive table linked to content.

Objective

Students:

  • develop efficient strategies to solve problems using pattern recognition, generalisation, proof and modelling techniques
Year 11 Mathematics Extension 1 outcomes
A student:
Year 12 Mathematics Extension 1 outcomes
A student:
ME11-1 uses algebraic and graphical concepts in the modelling and solving of problems involving functions and their inverses
ME12-1 applies techniques involving proof or calculus to model and solve problems

 

Objective

Students:

  • develop the ability to use concepts and skills and apply complex techniques to the solution of problems and modelling in the areas of trigonometry, functions, calculus, proof, vectors and statistical analysis
Year 11 Mathematics Extension 1 outcomes
A student:
Year 12 Mathematics Extension 1 outcomes
A student:
ME11-2 manipulates algebraic expressions and graphical functions to solve problems
ME12-2 applies concepts and techniques involving vectors and projectiles to solve problems
ME11-3 applies concepts and techniques of inverse trigonometric functions and simplifying expressions involving compound angles in the solution of problems
ME12-3 applies advanced concepts and techniques in simplifying expressions involving compound angles and solving trigonometric equations
ME11-4 applies understanding of the concept of a derivative in the solution of problems, including rates of change, exponential growth and decay and related rates of change
ME12-4 uses calculus in the solution of applied problems, including differential equations and volumes of solids of revolution
ME11-5 uses concepts of permutations and combinations to solve problems involving counting or ordering
ME12-5 applies appropriate statistical processes to present, analyse and interpret data

 

Objective

Students:

  • use technology effectively and apply critical thinking to recognise appropriate times for such use
Year 11 Mathematics Extension 1 outcomes
A student:
Year 12 Mathematics Extension 1 outcomes
A student:
ME11-6 uses appropriate technology to investigate, organise and interpret information to solve problems in a range of contexts
ME12-6 chooses and uses appropriate technology to solve problems in a range of contexts

 

Objective

Students:

  • develop the ability to interpret, justify and communicate mathematics in a variety of forms
Year 11 Mathematics Extension 1 outcomes
A student:
Year 12 Mathematics Extension 1 outcomes
A student:
ME11-7 communicates making comprehensive use of mathematical language, notation, diagrams and graphs
ME12-7 evaluates and justifies conclusions, communicating a position clearly in appropriate mathematical forms