Twitter-Length Tasks can be quickly and simply explained, yet allow for extensive exploration.
Draw six dots.
A line segment that connects two dots is worth 1 point – as long as it doesn’t intersect any other line segments.
A line segment with one intersection is worth ½ a point, a line segment with two intersections is worth ¼ a point, three intersections 1/8 point and so on.
What is the largest or smallest score you can create?
What if you try rearranging the points?