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