Most elementary students have played dots and boxes at some point. Usually on graph paper, during indoor recess, with someone arguing about whether a line was drawn on the right side. You draw a grid of dots, take turns adding one line, and try to be the person who closes off the fourth side of a box. Write your initial inside, take another turn.

It's a genuinely good game. Deceptively strategic once students figure out that giving your opponent one box now can mean handing them five boxes later.

Multiplication Squares takes that exact game and adds one rule: the line you draw isn't free. You have to earn it.

The added rule

On your turn, you roll two dice and multiply them. That product is the only square you can work on. Roll a 3 and a 6, your product is 18 — find a square on the board showing 18 and draw a line on one of its open sides. Close all four sides and it's yours.

If there are no 18 squares with open sides, you skip.

That's it. Everything else from dots and boxes is unchanged. The strategy is still there — which sides to draw, when to hand your opponent a square to avoid handing them a bigger setup, when to go for the capture. The dice add variance, which keeps any one player from just running the table on knowledge alone.

Why it sticks

When I was in the classroom, I used the paper version of this game for years. Students who struggled during direct instruction would often play multiple rounds and then — somewhere around the third game — start recalling facts faster than they had been all week. Not because they were drilling. Because they needed the answer to win.

That's a different kind of motivation than "this will be on the test."

The ask-to-play-again phenomenon is real, and it matters more than it sounds. A student who wants a rematch is getting more practice than a worksheet would've given them in the same time. They're also not noticing.

If your students already know dots and boxes

The explanation is two sentences:

*"You know how in dots and boxes you just draw any line you want? In this version, you roll the dice first and multiply the numbers, then draw your line on a square that shows that product."*

Most students start playing immediately. The ones who need another turn or two to understand can watch it happen and usually click in fast.

For students who haven't played the base game, it takes a bit longer — but the visual feedback of watching squares fill with colour is intuitive enough that the game teaches itself pretty quickly.

A note on the dice and fact range

The dice go 1–6, so the products that come up in a game range from 1 (1×1) to 36 (6×6). That covers the core multiplication table range that most elementary students are working through. The harder facts in the 6–12 range come up often enough that students get real practice on them, not just the easy ones.

Try it

Multiplication Squares runs in any browser. No download, no account, free. Board adjusts from 6×6 to 12×12. Supports 2–4 players.

If your class knows dots and boxes, give them one round and don't explain too much. They'll sort it out.