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      Examine ways that cubes can be composed into different arrangements

      Lesson details

      Learning outcome

      I can explore, discuss and compare the different arrangements that can be made with cubes.

      Key learning points

      1. Know that cubes can be arranged in different ways.
      2. Recognise when arrangements are the same, even when they have been rotated.
      3. Explain how to change one arrangement into another by moving some of the cubes.

      Keywords

      • Cube - A 3D shape with six identical faces.

      • Arrangement - The way something is organised.

      Common misconception

      Might not recognise that an arrangement is still the same when it has been rotated.

      Allow plenty of opportunities for building, rotating and comparing arrangements of cubes, and to view them from different perspectives.

      Teacher tip

      Pupils should be given plenty of opportunities, both within and outside of this lesson, to explore making arrangements of cubes. They should be encouraged to rotate their arrangements and describe how they look from different perspectives.

      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

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      How many cubes are there?

      An image in a quiz
      3
      Correct answer: 4
      5

      Q2.
      Which set of cubes are connected?

      A
      Correct answer: B
      C

      Q3.
      Where is the panda? The panda is __________ the box.

      An image in a quiz
      Correct answer: behind
      next to
      in front of

      Q4.
      Where is the panda? The panda is __________ the box.

      An image in a quiz
      behind
      Correct answer: next to
      in front of

      Q5.
      Which pentomino arrangement matches this image?

      An image in a quiz
      Correct answer: A
      B
      C

      Q6.
      Which image shows that an arrangement has been rotated?

      A
      Correct answer: B
      C

      6 Questions

      Q1.
      True or False? This is an arrangement of four connected cubes.

      An image in a quiz
      True
      Correct answer: False

      Q2.
      Who has made an arrangement of four connected cubes?

      Lucas
      Jun
      Correct answer: Sophia

      Q3.
      Which arrangement matches the photo?

      An image in a quiz
      A
      Correct answer: B
      C

      Q4.
      Which arrangement matches the photo?

      An image in a quiz
      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      Q5.
      What is the smallest number of cubes that Andeep could move to make arrangement 'b'?

      An image in a quiz
      0
      Correct answer: 1
      2
      3

      Q6.
      Which image is the missing arrangement of four cubes?

      An image in a quiz
      A
      B
      Correct answer: C

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