NSW Syllabuses

#### Year 12outcomes

##### A student:
• uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-1
• uses detailed algebraic and graphical techniques to critically construct, model and evaluate arguments in a range of familiar and unfamiliar contexts

MA12-1
• uses the concepts of functions and relations to model, analyse and solve practical problems

MA11-2
• models and solves problems and makes informed decisions about financial situations using mathematical reasoning and techniques

MA12-2
• uses the concepts and techniques of trigonometry in the solution of equations and problems involving geometric shapes

MA11-3
• applies calculus techniques to model and solve problems

MA12-3
• uses the concepts and techniques of periodic functions in the solutions of trigonometric equations or proof of trigonometric identities

MA11-4
• applies the concepts and techniques of arithmetic and geometric sequences and series in the solution of problems

MA12-4
• interprets the meaning of the derivative, determines the derivative of functions and applies these to solve simple practical problems

MA11-5
• applies the concepts and techniques of periodic functions in the solution of problems involving trigonometric graphs

MA12-5
• manipulates and solves expressions using the logarithmic and indicial laws, and uses logarithms and exponential functions to solve practical problems

MA11-6
• applies appropriate differentiation methods to solve problems

MA12-6
• 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

MA11-7
• applies the concepts and techniques of indefinite and definite integrals in the solution of problems

MA12-7
• uses appropriate technology to investigate, organise, model and interpret information in a range of contexts

MA11-8
• solves problems using appropriate statistical processes

MA12-8
• provides reasoning to support conclusions which are appropriate to the context

MA11-9
• chooses and uses appropriate technology effectively in a range of contexts, models and applies critical thinking to recognise appropriate times for such use

MA12-9
• constructs arguments to prove and justify results and provides reasoning to support conclusions which are appropriate to the context

MA12-10