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.
Find the frequency distribution for ordinary English, and use it to help you crack the code.
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