 demonstrates knowledge and understanding of the concepts of vectors, combinatorics, geometry, matrices, trigonometry and complex numbers in routine and nonroutine problems in a variety of contexts
 synthesises information to select and apply techniques in mathematics to solve routine and nonroutine problems in a variety of contexts
 develops, selects and applies mathematical models to routine and nonroutine 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 nonroutine problems in a variety of contexts

 demonstrates knowledge of the concepts of vectors, combinatorics, geometry, matrices, trigonometry and complex numbers in routine and nonroutine problems
 selects and applies techniques in mathematics to solve routine and nonroutine problems
 selects and applies mathematical models to routine and nonroutine 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 nonroutine 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
