What is a fun, quick math game for kids that they can squeeze into any free moment? Trominoes! Trominoes is a easy pen and paper game that exercises visual perception and spatial reasoning skills, and teaches kids how to think ahead and strategize.
Trominoes may remind you of the tetris, and indeed, the concept is similar. We have adapted the traditional single-player tromino puzzle into a two player game for kids. The game is a fun brain teaser with a mathematical puzzle-y twist. And yet, even if you don’t care two hoots about the math concepts involved, it is an excellent boredom buster!
What you need:
- 2 markers in different colors
- Game board grid. 5×5 or 8×8 are good grids to start with. Draw your own, or print out ours, which has one large 5×5 grid, one 8×8 grid and 4 small 5×5 grids (fill out the form below to get the pdf)
- 2 enthusiastic players
Read the following instructions, and then scroll down for some great variations and a single-player puzzle version to extend the learning and fun!
The goal is to be the last player to successfully place a tromino on the game board.
- Tromino definition
A tromino is a shape composed of three squares, joined along the edges. You can play with either only L-shaped trominoes, or the L- and l-shaped trominoes.
- Game Play Begins
Decide who goes first and if you will use only L-shapes or both L- and l-shapes
Alternating turns, players color the appropriate grid blocks to create a tromino.
See the photo example of the first four moves of a match in which players use only L-shapes.
The objective of the game is to be the last player able to put a tromino on the board, thus blocking your opponent from playing. In the below example, yellow triumphs because there is no room left for another orange L-shape.
- Alternate rules
Before beginning game play, place a star onto any empty square on the grid. That square can no longer be used. Four different game boards options are show below (this is page three of our printable game board). The top two match-ups are completed games.
Variations and Questions
The following ideas are for kids who would like to further explore some of the mathematical concepts of the tromino puzzle or game strategies.
Vary the grid layout. Does the grid need to be square? What happens if you have an uneven number of rows and columns, such as 5×4 or 8×9?
Does it help to go first?
Where is the best place to put your first tromino? Why?
How does using only one or both tromino shapes change the game?
Change the rules so that the player who places the final tromino loses. If the tromino placed last is the loser, how does that change your strategy?
Single Player Tromino Puzzle
Here’s how to use the game board grid as a problem-solving exercise for a single player. The goal is the completely fill the grid with L-shaped trominoes. Can it be done?
How many L-shapes can you place on the grid? Using a different color marker for each tromino so you can easily track your work. What if you vary the size of the “L” from 2×1 to 3×1 or 3×2? What if you vary the size of the grid?
I bet your kids can do a much better job than this:
More mathematical puzzlers and games: