Euler found four whole numbers such that the sum of any two of the numbers is a perfect square...
The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.
How much peel does an apple have?
1. If a calculation approach is adopted, to see the value of
using a spreadsheet . Thinking through the calculation required and
the spreadsheet commands (formulae) necessary to achieve that are
prime Stage 4 activities.
2. To account for the general result that emerges, in such a way
that the 'solution' then becomes obvious, adds an
additional visualisation to the student's repertoire of