Achievement standards

Concepts and Techniques

A	B	C	D	E
demonstrates knowledge of concepts of functions, integration and distributions in routine and non-routine problems in a variety of contexts selects and applies techniques in functions, integration and distributions to solve routine and non-routine problems in a variety of contexts develops, selects and applies mathematical and statistical models in routine and non-routine problems in a variety of contexts uses digital technologies effectively to graph, display and organise mathematical and statistical information and to solve a range of routine and non-routine problems in a variety of contexts	demonstrates knowledge of concepts of functions, integration and distributions in routine and non-routine problems selects and applies techniques in functions, integration and distributions to solve routine and non-routine problems selects and applies mathematical and statistical models in routine and non-routine problems uses digital technologies appropriately to graph, display and organise mathematical and statistical information and to solve a range of routine and non-routine problems	demonstrates knowledge of concepts of functions, integration and distributions that apply to routine problems selects and applies techniques in functions, integration and distributions to solve routine problems applies mathematical and statistical models in routine problems uses digital technologies to graph, display and organise mathematical and statistical information to solve routine problems	demonstrates knowledge of concepts of simple functions, integration and distributions uses simple techniques in functions, integration and distributions in routine problems demonstrates familiarity with mathematical and statistical models uses digital technologies to display some mathematical and statistical information in routine problems	demonstrates limited familiarity with concepts of simple functions, integration and distributions uses simple techniques in a structured context demonstrates limited familiarity with mathematical or statistical models uses digital technologies for arithmetic calculations and to display limited mathematical and statistical information

Reasoning and Communication

A	B	C	D	E
represents functions, integration and distributions in numerical, graphical and symbolic form in routine and non-routine problems in a variety of contexts communicates mathematical and statistical judgments and arguments, which are succinct and reasoned, using appropriate language interprets the solutions to routine and non-routine problems in a variety of contexts explains the reasonableness of the results and solutions to routine and non-routine problems in a variety of contexts identifies and explains the validity and limitations of models used when developing solutions to routine and non-routine problems	represents functions, integration and distributions in numerical, graphical and symbolic form in routine and non-routine problems communicates mathematical and statistical judgments and arguments, which are clear and reasoned, using appropriate language interprets the solutions to routine and non-routine problems explains the reasonableness of the results and solutions to routine and non-routine problems identifies and explains the limitations of models used when developing solutions to routine problems	represents functions, integration and distributions in numerical, graphical and symbolic form in routine problems communicates mathematical and statistical arguments using appropriate language interprets the solutions to routine problems describes the reasonableness of results and solutions to routine problems identifies thelimitations of models used when developing solutions to routine problems	represents simple functions and distributions in numerical, graphical or symbolic form in routine problems communicates simple mathematical and statistical information using appropriate language describes solutions to routine problems describes the appropriateness of the result of calculations identifies limitations of simple models used	represents limited mathematical or statistical information in a structured context communicates simple mathematical and statistical information identifies solutions to routine problems demonstrates limited familiarity with the appropriateness of the results of calculations identifies simple models