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 outcomesA student: Year 12 Mathematics Extension 1 outcomesA 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 outcomesA student: Year 12 Mathematics Extension 1 outcomesA 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 outcomesA student: Year 12 Mathematics Extension 1 outcomesA 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 outcomesA student: Year 12 Mathematics Extension 1 outcomesA 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