For those who haven't learnt Pythagoras Theorem, the game can motivate them to think about how the area of the slant squares could be calculated. I think it is not difficult in some explicit cases, from which the general method, hence the proof of Pythagoras Theorem, comes up naturally.
I miss this game dearly. I wish there were a place people still played as in the AOL days.
LetsReason 2 months ago
Maybe we can create some tasks based on this game. e.g.
With a point given on the grid, how many (different) squares can be formed?
With two points ...
How to tell whether 3 points can make a square (with one more point added)?
How many squares can be made with 6 points? In what ways?
Create a set of 4 points that don't make any square, but with an additional point (in more than 1 way), a square can be made.
msaleemac 2 years ago
Thanks!
For those who haven't learnt Pythagoras Theorem, the game can motivate them to think about how the area of the slant squares could be calculated. I think it is not difficult in some explicit cases, from which the general method, hence the proof of Pythagoras Theorem, comes up naturally.
orchiming 2 years ago