Students were first challenged to construct two hexagons using only a compass and straight edge: in this case a larger, light blue one, and then a smaller gold one. Their task then was to prove what proportion of the larger hexagon was filled with the smaller hexagon. I promise you it took a good bit of thinking, but I think you'll agree the result in this case is just stunning.
As a first step they discovered that the six equilateral triangles of the small hexagon are exactly the same size as the six pink equilateral triangles of the larger hexagon. It took a bit more to realise that they needed to form the larger green equilateral triangles around the centre to find shapes similar to the light blue isosceles triangles. Once they realised there were six of each, and that those light blue triangles were also equal in area to the smaller hexagon, they knew that the pink and blue triangles were double the area of the smaller hexagon, and therefore the smaller hexagon was 1/3 of the area of the larger one.
This is just one of many creative activities that were first published in the Hindu Times.