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Achievement objective GM6-9

In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:

  • analyse symmetrical patterns by the transformations used to create them.


  • Describes transformations used to create patterns using key features such as centres and angles of rotation, centres of enlargement, scale factors, lines of symmetry, and vectors.
  • Knows and applies variant and invariant properties of transformations.
  • Makes links with transformations GM6-8.
  • See key mathematical ideas on NZmaths.


GM6-9 links to M7-2.

Possible context elaborations

  • Analysis of transformations used in Kowhaiwhai patterns.
  • Analysis of transformations used in frieze designs.
  • Analysis of transformations used in tessellations.
  • Analysis of transformations used in Escher art.
  • Analysis of transformations used in Islamic patterns and art.
  • Use of a software package to design a logo that uses transformations in its creation.
  • Activity: Straight line pictures
  • Frieze patterns

Assessment for qualifications

NCEA achievement standards at level 1, 2 and 3 have been aligned to the New Zealand Curriculum. Please ensure that you are using the correct version of the standards by going to the NZQA website.

The following achievement standard(s) could assess learning outcomes from this AO:

Last updated September 10, 2018