Math Night Logo(top)
Math Night
Supported by
the National Science Foundation
under Grant No. DBI-9975868
Guide Activities Supplements Links Schools
Math Night Logo(bottom)
Modules
Other Activities

Pencil and Paper Games
Sprouts
Pipelayer
Capture
Math Jeopardy

Sprouts

Sprouts starts with three (or more) dots on a piece of paper. The animation over to the right is playing a game a sprouts. The rules are as follows:

  • The players take turns moving.

  • A move has two parts: drawing a line and making a new dot.

  • The line must go from a dot to a dot so that it does not cross another line and so that once the line is draw, no dot has more then three lines coming out of it. The animated game marks these used-up dots with red X's. You might want to circle used-up dots.

  • The new dot goes on the line the player just drew (this means it starts with two lines coming out of it).

  • The winner is the last player to move. Notice in the animated game that there are two dots that are not used-up at the end. They get marked with light blue X's because, even though they are not used-up, you can't use them as the ends of a line without crossing another line.

  • As the animated game shows a line can go from a dot to itself as long as you don't break the "three lines" rule.

The strategy in sprouts lies in using your lines to divide the paper up into parts that trap dots. It is very hard to think through all the ways this came can come out because of the many different ways it can divide up the paper. If the three dot game gets too easy four you, start with more dots. This game is a good tool for building your sense of spatial perception on flat surfaces.



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