Gridlock
How it works
We have a bunch of blocks arranged on a grid (see above). Our goal is to move the blocks so we can slide the yellow block out of the grid (onto the arrow).
However, there are some rules we have to follow:
- Blocks can't ever touch each other.
- Blocks can only slide in the direction they're pointing (that is, vertical blocks can only slide vertically and horizontal blocks can only slide horizontally).
- Blocks can't go outside the grid (except through the hole in the wall by the arrow).
Is it possible to move the blocks so we can slide the block with the star out of the grid and onto the arrow?
In this activity, students explore a variety of puzzles with different arrangements of blocks. Some of these puzzles are possible to solve, and some are impossible!
Why we like this activity
It’s fun! Students enjoy trying to solve the puzzles.
It helps students develop algorithmic reasoning.
It helps students develop spatial reasoning.
It requires students to engage in mathematical habits of mind:
Using logic and finding and using strategies when trying to solve the puzzles.
Using logic and understanding and explaining when trying to determine which puzzles are impossible.
It has a low floor and a high ceiling: Students can get started solving puzzles by trial and error and basic logic, but more complex puzzles require more careful strategizing.
