Pick a number to start with, then follow the rule to build a list of 5 numbers.
A [i]move[/i] in the Tower of Hanoi puzzle involves taking a disc and moving it to another peg. To move a disc, click on it, and then click on the peg where you want it to go. You cannot [i]drag[/i] a disc. There are two rules:[br][list][*]Only move 1 disc at a time.[/*][*]Never put a larger disc on top of a smaller one.[/*][/list]
Using 3 discs, complete the puzzle. What is the smallest number of moves you can find?[br]
Using 4 discs, complete the puzzle. What is the smallest number of moves you can find?[br]
Jada says she used the solution for 3 discs to help her solve the puzzle for 4 discs. Describe how this might happen.[br]
How many moves do you think it will take to complete a puzzle with 5 discs?[br]
How many moves do you think it will take to complete a puzzle with 7 discs?[br]
A legend says that a Tower of Hanoi puzzle with 64 discs is being solved, one move per second. How long will it take to solve this puzzle?
A [i]move[/i] in this checker game pushes any checker forward 1 space, or jumps over any 1 checker of the other color. Jumping the same color is not allowed, moving backwards is not allowed, and 2 checkers cannot occupy the same space.[br]You complete the puzzle by switching the colors completely: ending up with blue on the right, red on the left, and with 1 empty space between them.
Using 1 checker on each side, complete the puzzle. What is the smallest number of moves needed?[br]
Using 3 checkers on each side, complete the puzzle. What is the smallest number of moves needed?[br]
Make guesses about the number of moves for 2 and 4 checkers on each side, then test your guesses.[br]
Noah says he used the solution for 3 checkers on each side to help him solve the puzzle for 4 checkers. Describe how this might happen.[br]
How many moves do you think it will take to complete a puzzle with 7 checkers on each side?[br]