Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
Can you produce convincing arguments that a selection of statements about numbers are true?
The sums of the squares of three related numbers is also a perfect square - can you explain why?
What is special about the difference between squares of numbers adjacent to multiples of three?
If you know the perimeter of a right angled triangle, what can you say about the area?
There are unexpected discoveries to be made about square numbers...
A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?
What do you get when you raise a quadratic to the power of a quadratic?
