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Visualising Indices

'Explore the concept of indices by considering what they look like'

Which index number does this diagram represent?

'Squared' and 'Cubed' can be explained by using 2 and 3 dimensions. The area of a square with length 5 is 52, the volume of a cube with side length 7 is 73,  so how can we represent 54? This activity explores visual representations of indices and draws on a little creativity! Try and work out what number is represented by the diagrams and then think about how  some diagrams for other numbers can be created!

This page addresses the following item from the syllabus:

  • Understand and use indices


Resources

There is a worksheet to start this task with Visualising Indices and some teachers notes  Visualising Indices TN 

Some Examples

Description

Here is a brief outline of the activity

  • Starting with the diagrams above, look for associations. 'What shall I call the picture?'
  • Use the attached worksheet to try and work out what numbers are associated with the other pictures and then start being creative!
  • Make a nice display of the class's results!
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