The Pythagorean Theorem is one of the oldest theorems in mathematics, dating back thousands of years. In this talk, we start with the Pythagorean Theorem (and its proof) and consider variations on its theme that take us to Beal's Conjecture, as yet unresolved and with a $1 000 000 prize for its solution.
It's important to realize that mathematics is not all known, and it is fairly easy to state a question whose solution is not yet known, even starting from a very familiar result.
Key Stages 3-5 (Years 9-13, ages 13-18 years, including GCSEs and A Level study or equivalent)
Maths