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Achievement objective GM6-5

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:

  • recognise when shapes are similar and use proportional reasoning to find an unknown length.


  • Recognises similar shapes using their properties.
  • Uses properties of similar shapes in solving problems:
    • matching angles are equal
    • matching lengths are proportional.
  • See key mathematical ideas on NZmaths.


GM6-5 links to M7-4.

Possible context elaborations

  • Given that the ellipses are similar, find the unknown length, a, of the major axis.

GM6-5 possible context elaboration 1.

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  • Given the rectangles are similar, find the values of c and d.

GM6-5 possible context elaboration 2.

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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