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• VCMMG316

  Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar

  Elaborations

  • establishing the conditions for similarity of two triangles and comparing this to the conditions for congruence
  • using the properties of similarity and ratio, and correct mathematical notation and language, to solve problems involving enlargement. For example, scale diagrams
  • using the enlargement transformation to establish similarityunderstanding that similarity and congruence help describe relationships between geometrical shapes and are important elements of reasoning and proof

  VCMMG316 | Mathematics | Level 9 | Measurement and Geometry | Geometric reasoning

• VC2M9ST02

  analyse how different sampling methods, and different samples using the same method, can affect the results of surveys and how choice of representation can be used to support a particular point of view

  Elaborations

  • investigating and analysing different visualisations of data such as infographics found in the media and commenting on the strengths, weaknesses and possible biases of particular examples
  • discussing the impact of decreased landline usage or an increased aversion to answering calls from unknown numbers on survey data 
  • exploring potential cultural bias relating to Aboriginal and Torres Strait Islander Peoples by critically analysing sampling techniques in statistical reports 

  VC2M9ST02 | Mathematics | Mathematics Version 2.0 | Level 9 | Statistics

• VC2M9ST01

  analyse reports of surveys in digital media and elsewhere for information on how data was obtained around everyday questions and issues involving at least one numerical and at least one categorical variable, to estimate population means and medians

  Elaborations

  • investigating and evaluating statistical reports in the media and other places by linking claims to displays, statistics and representative data
  • investigating the use of statistics in reports regarding the growth of Australia’s trade with other countries of the Asia region
  • investigating a range of data and its sources, for example, the age of residents in Australia, Cambodia and Tonga, or the number of subjects studied at school in a year by 14-year-old students in Australia, Singapore, Japan, South Korea and Timor-Leste
  • analysing reports of public opinion surveys on environmental issues, such as land clearing, wind farms or single-use plastics, discussing methods of data collection and the reasonableness of any inferences made
  • comparing the annual rainfall in various parts of Australia, Pakistan, New Guinea and Malaysia

  VC2M9ST01 | Mathematics | Mathematics Version 2.0 | Level 9 | Statistics