Gridlock

How it works

We have a bunch of blocks arranged on a grid (see above).

  • The goal is to move the blocks so we can slide the yellow block out of the grid (onto the arrow).
  • Blocks can only move in the direction they're pointing (that is, vertical blocks can only move vertically and horizontal blocks can only move horizontally).

Can you solve the puzzle?

In this activity, students explore different puzzles with different arrangements of blocks. Some of these puzzles are possible to solve, and some are impossible!

Puzzles handout

Why we like this activity

  • It’s fun! Students enjoy trying to solve the puzzles.
  • It helps students develop algorithmic 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.
 

This activity was inspired by the puzzle game Rush Hour, which was created by Thinkfun.