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• VC2M6SP03

  recognise and use combinations of transformations to create tessellations and other geometric patterns, using dynamic geometry software where appropriate

  Elaborations

  • using digital tools to create tessellations of shapes, including paver and tiling patterns, describing the transformations used and discussing why these shapes tessellate; and identifying shapes or combinations of shapes that will or will not tessellate, answering questions such as ‘Do all triangles tessellate?’
  • designing a school or brand logo using the transformation of one or more shapes and describing the transformations used
  • using dynamic geometry software and digital tools to experiment with transformations, for example, to demonstrate when the order of transformations produces different results; and experimenting with transformations and their application to fractals
  • designing an algorithm as a set of instructions to transform a shape, including getting back to where you started from; for example, programming a robot to move around the plane using instructions for movements, such as 2 down, 3 to the right, and combinations of these to transform shapes
  • investigating symmetry, transformation and tessellation in different shapes on Country/Place, including rock formations, insects, and land and sea animals, discussing the purpose or role symmetry plays in their physical structure

  VC2M6SP03 | Mathematics | Mathematics Version 2.0 | Level 6 | Space

• 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