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The Billiard Ball Problem is a beautiful exploration of a situation both natural and novel.
Great for problem solving, with connections to ratio and proportion.
Also check out this Billiard Ball simulator on Scratch.
This is a beautiful puzzle, with a deceptively simple and satisfying answer.
As soon as students can draw straight lines at 45 degrees, they have access to the puzzle, but cracking it is much trickier!
Download the PDF to read more about this game.
After you’ve spent at least one lesson on the main problem, a fun followup challenge is to play the first half of this video to pose the Vampire Hunter Riddle. This is a great way to revisit the original task, and push a students to apply their thinking.
MAKE SURE YOU PAUSE HALFWAY THROUGH!