NSW Syllabuses

#### Year 12 Extension 1outcomes

##### A student:
• uses algebraic and graphical concepts in the modelling and solving of problems involving functions and their inverses

ME11-1
• applies techniques involving proof or calculus to model and solve problems

ME12-1
• manipulates algebraic expressions and graphical functions to solve problems

ME11-2
• applies concepts and techniques involving vectors and projectiles to solve problems

ME12-2
• applies concepts and techniques of inverse trigonometric functions and simplifying expressions involving compound angles in the solution of problems

ME11-3
• applies advanced concepts and techniques in simplifying expressions involving compound angles and solving trigonometric equations

ME12-3
• 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

ME11-4
• uses calculus in the solution of applied problems, including differential equations and volumes of solids of revolution

ME12-4
• uses concepts of permutations and combinations to solve problems involving counting or ordering

ME11-5
• applies appropriate statistical processes to present, analyse and interpret data

ME12-5
• uses appropriate technology to investigate, organise and interpret information to solve problems in a range of contexts

ME11-6
• chooses and uses appropriate technology to solve problems in a range of contexts

ME12-6
• communicates making comprehensive use of mathematical language, notation, diagrams and graphs

ME11-7
• evaluates and justifies conclusions, communicating a position clearly in appropriate mathematical forms

ME12-7