Achievement standards

Concepts and Techniques

A B C D E
  • demonstrates knowledge and understanding of the concepts of vectors, combinatorics, geometry, matrices, trigonometry and complex numbers in routine and non-routine problems in a variety of contexts
  • synthesises information to select and apply techniques in mathematics to solve routine and non-routine problems in a variety of contexts
  • develops, selects and applies mathematical models to routine and non-routine problems in a variety of contexts
  • constructs mathematical proofs in a variety of contexts, and adapts previously seen mathematical proofs
  • uses digital technologies effectively to graph, display and organise mathematical information to solve a range of routine and non-routine problems in a variety of contexts

 

  • demonstrates knowledge of the concepts of vectors, combinatorics, geometry, matrices, trigonometry and complex numbers in routine and non-routine problems
  • selects and applies techniques in mathematics to solve routine and non-routine problems
  • selects and applies mathematical models to routine and non-routine problems
  • constructs simple mathematical proofs, and adapts previously seen mathematical proofs
  • uses digital technologies appropriately to graph, display and organise mathematical information to solve a range of routine and non-routine problems
  • demonstrates knowledge of the concepts of vectors, combinatorics, geometry, matrices, trigonometry and complex numbers
  • uses simple techniques in mathematics in routine problems
  • demonstrates familiarity with mathematical models
  • reproduces previously seen simple mathematical proofs
  • uses digital technologies to display some mathematical information in routine problems

demonstrates limited familiarity with simple concepts of vectors, combinatorics, geometry, matrices, trigonometry and complex numbers

uses simple techniques in a structured context

demonstrates limited familiarity with mathematical models

demonstrates limited familiarity with mathematical proofs

uses digital technologies for arithmetic calculations and to display limited mathematical information

Reasoning and Communication

A B C D E
  • represents mathematical information in numerical, graphical and symbolic form in routine and non-routine problems in a variety of contexts
  • communicates succinct and reasoned mathematical judgments and arguments, including proofs, 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 information in numerical, graphical or symbolic form in routine problems
  • communicates mathematical 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 information in a structured context
  • communicates simple mathematical information
  • identifies solutions to routine problems
  • demonstrates limited familiarity with the appropriateness of the results of calculations
  • identifies simple models