Half-turn rotation.PNG




NZ Stamp.jpg

Click on link to see a photo of a kowhaiwhai showing rotation on the gateway
http://christchurchcitylibraries.com/TiKoukaWhenua/NgaHauEWha/




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




Vocabulary:


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

Exercise:
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.


Exercise:

  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