Divide Up Investigations
Investigation 1
In the 3 by 3 square
puzzles the starting position given in the puzzle not does not allow all ratios
to be made by moving just one match.
Can you find a
starting position made with 6 matches
from which all arrangements can be made by moving one match?
Investigation 2
Here is a triangle
grid. Can you place two matches in a starting position so that all possible
divisions can be made by moving just one match?
Investigation 3
Is it possible to
create a starting position with 3 matches so that all possible partitions into
three parts can be made by moving just
one match.
Investigation 4
How about the larger
triangle grid?
Here is a starting position using 5 matches. Which
partitions can you create moving just 1 match? Can you find a better starting
position?