This problem solving activity has a logic and reasoning focus.
Tui needs to row her pet ferret, pet rabbit and a bale of hay across to the island where she lives.
The problem is that she can handle only one thing at a time.
If she leaves the ferret with the rabbit, the ferret will kill the rabbit.
If she leaves the rabbit with the hay, the rabbit will eat the hay.
This will cause a problem on either side of the water.
Can she successfully get the ferret, rabbit and hay across to her island without losing anything?
This is a logic problem. Logic is an important part of mathematics and of the curriculum.
If students choose to act this out or use equipment, a careful record of each step should be made. By using a table or drawing a diagram, the method will be more evident. As in any problem solving situation, a written record should be encouraged in order for students to be able to justify their solution, or to identify an error made in the process.
Other related Logic and Reasoning problems include Space Crossing, Level 5.
Tui needs to row her pet ferret, pet rabbit and a bale of hay across to the island where she lives. The problem is that she can handle only one thing at a time.
If she leaves the ferret with the rabbit, the ferret will kill the rabbit.
If she leaves the rabbit with the hay, the rabbit will eat the hay. This will cause a problem on either side of the water.
Can she successfully get the ferret, rabbit and hay across to her island without losing anything?
The next time that Tui goes off her island, she needs to bring back her dog, another ferret, another rabbit and some hay. The dog would the kill the ferret if Tui is not around and we know all of the other difficulties.
This time Tui can take two things across the water with her. Can she get them all across successfully?
Can you make up some more problems like this? Can you solve them?
In the solution below, T = Tui, F = ferret, R = rabbit and H = hay.
On the land | On the water | On the island |
T, F, R, H | ||
F, H | T, R (to island) | |
T ( to land) | R | |
H | T, F (to island) | |
T, R (to land) | F | |
R | T, H (to island) | |
T ( to land) | F, H | |
T, R (to island) | ||
T, F, R, H |
On the land | On the water | On the island |
T, D, F, R, H | ||
D, R | T, F, H (to island) | |
T (to land) | F, H | |
T, D, R (to island) | ||
T, D, F, R, H |
That was a lot easier than the original problem. Can it be done if Tui can only take one thing across with her?
The answer to that is no. If she takes the dog or the hay, there will be trouble with the ferret and the rabbit. If she takes the ferret the rabbit will eat the hay. If she takes the rabbit the ferret and the dog will be left together.
Printed from https://nzmaths.co.nz/resource/lake-crossing at 3:21pm on the 1st July 2024