G7b – Rotation

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Prerequisites

Part 1 – Rotation (easy)

Interactive GeoGebra activity—Rotation: easy
  • Choose whether you want to rotate a triangle, a quadrilateral, or a pentagon.
  • Move the blue points to change the shape and move the green point to adjust the centre of rotation.
  • Note that you can click to show/ hide tracing paper and can also choose to show an “up” arrow on the tracing paper.
  • You can also see how you might think about rotation using vectors, which might help you perform the rotation without using tracing paper.
  • Note that you can also use the zoom buttons to zoom in or out.
  • Drag the green slider to animate the rotation.
  • Note that you can quicky return to a 0º rotation by clicking the green “Rotation nº” button above the slider.
Suggested activities: Pick a shape and stick with it.
  1. Try putting the centre of rotation at a vertex of your shape. Drag the green slider and observe the rotation. Return back to a 0º rotation.
  2. Now try putting the centre of rotation on an edge of your shape, but not on a vertex. Drag the green slider and observe the rotation. Return back to a 0º rotation.
  3. Now try putting the centre of rotation inside your shape. Drag the green slider and observe the rotation.
With thanks to Jon Ingram, whose Transformations – Rotation worksheet is available here. Material modified to show image by default and embedded here under the CC-BY-SA 3.0 license.

Part 2 – Rotation (hard)

Interactive GeoGebra activity—Rotation: hard
  • Choose whether you want to rotate a triangle, a quadrilateral, or a pentagon.
  • Move the blue points to change the shape and move the green point to adjust the centre of rotation.
  • Note that you can click the buttons to show/ hide the axes and also show/ hide tracing paper. You can also choose to show an “up” arrow on the tracing paper.
  • You can also see how you might think about rotation using vectors, which might help you perform the rotation without using tracing paper.
  • Note that you can also use the zoom buttons to zoom in or out.
  • Drag the green slider to animate the rotation.
  • Note that you can quickly return to a 0º rotation by clicking the green “Rotation nº” button above the slider.
  • Also note that you have the option to hide the centre of rotation, so you can present a source and its image without the centre visible, and ask students to locate the centre.
With thanks to Jon Ingram, whose Transformations – Rotation worksheet is available here. Material modified to show image by default and embedded here under the CC-BY-SA 3.0 license.
Links to past exam questions

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In the real world

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