# Achievement standards

## Concepts and Techniques

A B C D E
• demonstrates knowledge of concepts of functions, calculus and statistics in routine and non-routine problems in a variety of contexts
• selects and applies techniques in functions, calculus and statistics 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, calculus and statistics in routine and non-routine problems
• selects and applies techniques in functions, calculus and statistics 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 simple functions, calculus and statistics
• uses simple techniques in functions, calculus and statistics in routine problems
• demonstrates familiarity 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, calculus and statistics
• 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, calculus and statistics 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, calculus and statistics 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 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 the 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
• describes with limited familiarity the appropriateness of the results of calculations
• identifies simple models