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• VCMMG345

  Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes

  Elaborations

  • distinguishing between a practical demonstration and a proof (for example demonstrating triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent)
  • performing a sequence of steps to determine an unknown angle giving a justification in moving from one step to the next.
  • communicating a proof using a sequence of logically connected statements

  VCMMG345 | Mathematics | Level 10 | Measurement and Geometry | Geometric reasoning

• VCELY486

  Plan, rehearse and deliver presentations, selecting and sequencing appropriate content and multimodal elements to influence a course of action, speaking clearly and using logic, imagery and rhetorical devices in order to engage audiences

  Elaborations

  • using assumptions about listeners, viewers and readers to try to position them to accept a particular point of view

  VCELY486 | Curriculum content | English | Level 10 | Speaking and Listening | Literacy

• English: Level 10 achievement standards - Writing

  Students show how the selection of language features can achieve precision and stylistic effect. They explain different viewpoints, attitudes and perspectives through the development of cohesive and logical arguments. They develop their own style by experimenting with language features, stylistic...

  Level description | English | Level 10 | Writing

• English: Level 10 achievement standards - Speaking and Listening

  Students listen for ways features within texts can be manipulated to achieve particular effects. They show how the selection of language features can achieve precision and stylistic effect. They explain different viewpoints, attitudes and perspectives through the development of cohesive and logical...

  Level description | English | Level 10 | Speaking and Listening

• Mathematics: Level 10 description

  In Level 10, students extend their use of mathematical models to a wide range of familiar and unfamiliar contexts, involving the use of all types of real numbers. They recognise the role of logical argument and proof in establishing mathematical propositions. Students apply mental, written or...

  Level description | Mathematics

• VC2M10SP01

  apply deductive reasoning to formulate proofs involving shapes in the plane and use theorems to solve spatial problems

  Elaborations

  • distinguishing between a practical demonstration and a proof; for example, demonstrating that triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent
  • developing proofs involving congruent triangles and angle properties, communicating the proof using a sequence of logically connected statements
  • applying an understanding of relationships to deduce properties of geometric figures; for example, the base angles of an isosceles triangle are equal
  • investigating proofs of geometric theorems and using them to solve spatial problems, for example, applying logical reasoning and similarity to proofs and numerical exercises involving plane shapes, and using visual proofs to justify solutions
  • using dynamic geometry software to find the quadrilateral that has a vertex on each side of a rectangle and has the shortest possible path, and proving that the path forms a parallelogram

  VC2M10SP01 | Mathematics | Mathematics Version 2.0 | Level 10 | Space

• VCELA473

  Analyse how higher order concepts are developed in complex texts through language features including nominalisation, clause combinations, technicality and abstraction

  Elaborations

  • considering how nominalisation affects the way in which events are constructed and explained, making some information more explicit and other information less so
  • analysing how logical relations between ideas are built up by combining main with subordinate clauses indicating cause, result, manner, concession, condition, and so on (for example, ‘Although his poems were not generally well received by critics during his life (concession), Keats’ reputation grew substantially after his death’)
  • noting how technicality allows for efficient reference to shared knowledge, indicating growing expertise in the field (for example, ‘The Romantic poetry of Keats is characterised by sensual imagery, most notably in the series of odes.’)
  • observing how abstraction allows for greater generalisation at a higher level (for example, ‘the political, religious, social and economic features of the society’ – which is an abstract noun group/phrase)

  VCELA473 | Curriculum content | English | Level 10 | Writing | Language

• VCZHU220

  Organise and express complex ideas in Chinese, for example, analysing and comparing active and passive sentence constructions

  Elaborations

  • organising information in a range of ways, and discussing the logical flow of the information and whether it suits the audience’s reading expectations, for example, comparing 目前陆地上的煤，石油等资源 由于长期开采，已经越来越少 and 由于长期开采陆地上的资源，比如煤和石油，目前已经越来越少
  • analysing the subtle differences between expressions with similar meanings conveyed using, for example, 除了…也 and 除了…都 and 虽然 and 尽管
  • exploring the particular functions of key grammatical forms and their correct context of use, for example, distinguishing between the uses of 的、 得、 地 and 可以、能、会
  • employing more complex syntactical features to enhance their own meanings, building on current knowledge, for example, making comparisons, expressing sequence, expressing cause and effect
  • using particular discourse features to extend and elaborate their own message, for example, 除此之外、尽管这样、同样

  VCZHU220 | Languages | Chinese | Background Language Learner | 7–10 Sequence | Levels 9 and 10 | Understanding | Systems of language

• VCZHU076

  Analyse and examine how effective authors control sentence structure and use language to engage their audience

  Elaborations

  • comparing the use of words that rely on interpretation of context to convey the intended meaning (such as 让、给), for example, listening to and reading several extracts from texts which use the same word in a different way
  • expressing conditions (for example, 如果…就); expressing cause and effect (for example, 为了…); and expressing the condition, quality or result of an action, for example, 坐得下、 说得对、 做完、买到
  • justifying opinions and building logical arguments by expressing additional information and providing reasons (for example, using 不但…而且…；除了…以外；另外), and introducing contrasting views to others using elements such as cohesive devices, for example, 不是…而是…；不过；虽然…但是…
  • exploring the ways in which language can be manipulated to make ideas more objective, for example, removal of personal pronouns and opinions
  • examining the use of noun phrases in Chinese and experimenting with omitting nouns (zero subjects) in their own communication
  • experimenting with the use of 成语 and famous sayings to substantiate ideas in Chinese
  • experimenting with 的 as a subject modifier to express ideas that would contain relative clauses in English, for example, 我昨天买的书不太贵

  VCZHU076 | Languages | Chinese | Second Language Learner | F–10 Sequence | Levels 9 and 10 | Understanding | Systems of language