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      Investigating transformations with GeoGebra

      Lesson details

      Learning outcome

      I can investigate transformations using dynamic software

      Key learning points

      1. Dynamic software is a tool that can be used to explore transformations.
      2. There are many benefits to using this tool.
      3. Different transformations can be carried out quickly.

      Keywords

      • Object - The object is the starting figure, before a transformation has been applied.

      • Image - The image is the resulting figure, after a transformation has been applied.

      • Vector - A vector can be used to describe a translation.

      Common misconception

      There may be occasions when pupils cannot find the tool they are looking for.

      Ask them to click 'more' in the toolbar, scroll down and then click 'more' again.

      Teacher tip

      Pupils will need access to a web browser during the tasks and paper to record their responses to the questions. Print will also need access to the presentation so they can click on the hyperlinks, or will need the hyperlinks sending to them.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      $$\begin{pmatrix} 9 \\ 12 \end{pmatrix}$$ What does the 9 mean?

      translation of 9 units left
      Correct answer: translation of 9 units right
      translation of 9 units up
      translation of 9 units down

      Q2.
      $$\begin{pmatrix} 9 \\ 12 \end{pmatrix}$$ What does the 12 mean?

      translation of 12 units left
      translation of 12 units right
      Correct answer: translation of 12 units up
      translation of 12 units down

      Q3.
      $$\begin{pmatrix} -9 \\ -12 \end{pmatrix}$$ What does the -9 mean?

      Correct answer: translation of 9 units left
      translation of 9 units right
      translation of 9 units up
      translation of 9 units down

      Q4.
      $$\begin{pmatrix} -9 \\ -12 \end{pmatrix}$$ What does the -12 mean?

      translation of 12 units left
      translation of 12 units right
      translation of 12 units up
      Correct answer: translation of 12 units down

      Q5.
      Desmos is an example of dynamic software.

      Correct answer: True
      False

      Q6.
      Desmos has an option to allow you to choose whether you rotate clockwise or anticlockwise.

      True
      Correct answer: False

      6 Questions

      Q1.
      Which transformation has occurred?

      An image in a quiz
      enlargement
      Correct answer: reflection
      rotation
      translation

      Q2.
      Which transformation has occurred?

      An image in a quiz
      enlargement
      reflection
      Correct answer: rotation
      translation

      Q3.
      Which transformation has occurred?

      An image in a quiz
      Correct answer: enlargement
      reflection
      rotation
      translation

      Q4.
      Which transformation has occurred?

      An image in a quiz
      enlargement
      reflection
      rotation
      Correct answer: translation

      Q5.
      GeoGebra is an example of dynamic software.

      Correct answer: True
      False

      Q6.
      Rotations in GeoGebra only occur in an anticlockwise direction.

      True
      Correct answer: False

      To help you plan your 7 maths lesson on: Investigating transformations with GeoGebra, download all teaching resources for free and adapt to suit your pupils' needs...