Half-turn rotation.PNG

NZ Stamp.jpg

Click on link to see a photo of a kowhaiwhai showing rotation on the gateway

What is Rotation?

Geogebra - Rotation
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My Geogebra - Rotation of the Koru
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Rotation of Koru 90 degrees about the origin

Rotation 90 about origin1.jpg

Rotation of the Koru 180 degrees about the origin

Rotation 180 about origin1.jpg

Rotation of the Koru 270 degrees about the origin

Rotation 270 about origin.jpg

Multiple Rotations of the Koru about the origin

Multiple Rotations.jpg


  • rotation
  • centre of rotation
  • origin (0,0)
  • object
  • image
  • angle of rotation
  • invariant
  • direction of rotation
  • clockwise
  • anti-clockwise
  • half turn
  • orientation

Use the online maths dictionary and write definitions of the words above when doing a rotation.
Link to Online Maths Dictionary http://www.amathsdictionaryforkids.com/dictionary.html

Note: It is important when describing a rotation to refer to the centre (which must also be shown), angle and direction of rotation.


  1. Click on the links below to see photos of kowhaiwhai on picasa.

  2. Find the centre of rotation in the following.

  3. Describe the rotation using the correct language.

1. http://picasaweb.google.com/waikowhai/KowhaiwhaiNewZealandMaoriRafterPatterns#slideshow/5075729761255966914
2. http://picasaweb.google.com/waikowhai/KowhaiwhaiNewZealandMaoriRafterPatterns#5075729314579367938
3. http://picasaweb.google.com/waikowhai/KowhaiwhaiNewZealandMaoriRafterPatterns#5075729967414397186