# Achievement standards

## Concepts and Techniques

A B C D E
• demonstrates knowledge of concepts of consumer arithmetic, algebra and matrices, linear equations, geometry and trigonometry, and statistics, in routine and non-routine problems in a variety of contexts
• selects and applies techniques in mathematics and statistics to solve routine and non-routine problems in a variety of contexts
• develops, selects and applies mathematical and statistical models to solve routine and non-routine problems in a variety of contexts
• uses digital technologies effectively to graph, display and organise mathematical and statistical information to solve a range of routine and non-routine problems in a variety of contexts
• demonstrates knowledge of concepts of consumer arithmetic, algebra and matrices, linear equations, geometry and trigonometry, and statistics, in routine and non-routine problems
• selects and applies techniques in mathematics and statistics to solve routine and non-routine problems
• selects and applies mathematical and statistical models to routine and non-routine problems
• uses digital technologies appropriately to graph, display and organise mathematical and statistical information to solve a range of routine and non-routine problems
• demonstrates knowledge of concepts of consumer arithmetic, algebra and matrices, linear equations, geometry and trigonometry, and statistics, that apply to routine problems
• selects and applies techniques in mathematics and statistics to solve routine problems
• applies mathematical and statistical models to routine problems
• uses digital technologies to graph, display and organise mathematical and statistical information to solve routine problems
• demonstrates knowledge of concepts of consumer arithmetic, algebra and matrices, linear equations, geometry and trigonometry, and statistics
• uses simple techniques in mathematics and statistics 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 simple concepts of consumer arithmetic, algebra and matrices, linear equations, geometry and trigonometry, 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 mathematical and statistical information 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 mathematical and statistical information 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 results and solutions to routine and non-routine problems
• identifies and explains limitations of models used when developing solutions to routine problems
• represents simple mathematical and statistical information 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 results of calculations
• identifies limitations of simple models
• represents simple mathematical or statistical information in a structured context
• communicates simple mathematical or statistical information
• identifies solutions to routine problems
• demonstrates limited familiarity with the appropriateness of the results of calculations
• identifies simple models