# A maths game using areas of rectangles

All my Primary-age pupils played this game this week. I originally created it three years ago but this week I made some pre-marked hundred squares just to save a bit of paper – by printing them smaller than 1cm squared, you can fit 6 on a page.

You will need:

The winner will be the person who scores most small squares.

Do you remember how many small squares are in the 10×10 game board? That’s the same as saying “what’s the area in square centimetres”?

When it’s your turn, throw the 2 dice. I’m going to show you my moves in a particular game:

I could have drawn my rectangle anywhere, but it helps later if you try to keep things in the corners…..

I’ve drawn in two rectangles now and I must decide where to put this next throw of 1×5. Where would you put it?

Some of you preferred to count up every single square to decide the score after your turn, some of you counted them in lines (say, counting a 4×5 rectangle as 5…10….15…20 ) and some of you just said “4×5, that’s 20”. I think that depends how good your memory for tables is.

Here’s my board when I hit my first problem…

I can’t find anywhere to put this 5×6 throw, so it’s my first of three strikes…

I was lucky enough to throw a series of small numbers next, and build up my scores a bit…

But this throw was my second strike…

And this one was my third. I’m out, so I add up my score. What did I get? Here’s my opponent’s board. Who won?

Is there an easier way to work out your score?

What is the highest possible score for one rectangle?

Oh, and, what was the jam jar for? I got a bit fed up with some of you rolling the dice SO hard they rolled onto the floor, but one of you suggested we roll them INSIDE THE JAM JAR! Great idea! Well Done! A quick roll and it’s easy to see your score through the glass. Shake gently though….

PS for a whole class game, the teacher uses 2 big foam dice, and the winners are pupils who can place the rectangles in a logical way.