Doubles fill

Watch the video to learn how to play

Transcript

Hi there Barbara.

Hi Michelle, how are you?

I'm very well how are you?

I'm very well too.

Oo this looks fun.

I know, so you know that game Multiplication Toss that we play?

I love that game.

Yeah, so this is a version of that, but it's really focusing on working with doubles.

Ok.

Yes, it really helps you with those skills, so um, we'll just play and then we'll talk about how to play as we're playing.

So we use the same game board for this one and we need the spinner or a dice from zero to nine and this special spinner.

So spin both Barbara.

Ok.

So, six. And then you've go to work out what to do with it over here.

So, oh ok.

So double six.

Ok, so I'm going to say you're not student one you're Barbara.

And you rolled a six and you spun double and what is double six?

Double six is 12, uhm so then where would you like to go on the game board?

Where would you like to put your double six?

Ahh can I start on the top left?

So over here?

Yeah.

And then do you want to go six this way and this way or across?

Across please.

Ok, so two sixes, so double six, yeah.

Four, five, six.

Double six.

And Barbara, if you weren't sure if it was twelve, you could use that to help you.

Oh yeah, 'cause it could make six and then the other six and then count or.

And because it says to me a code down here, I'm going to do this to say that's, that move. Oh, Ok.

Yeah, and then it's my turn.

Ok.

Now may I have the spinner, the special spinner pen?

And I'll start with my number.

And I have zero.

Zero, Ok.

And a times two, so 0 X 2 is 0 'cause zero two's is zero.

So I'm student two.

Can you record for me in the red?

Sure.

Ok, so you rolled a two.

Yeah.

Sorry you rolled a zero.

A zero.

And then you spun, times two.

And then the product is zero.

And then I don't need a code because the code could be nothing.

Yes, 'cause I got nothing.

Ok, your turn.

Ok, my turn.

Alright, so.

Ok seven, 7 X 2.

Ok, you got 7 X 2 and the product of that?

Um, well actually, if double six is twelve, then I just need two more, so fourteen.

And where would you like it to go?

So can I put it anywhere?

Anywhere on the game board.

The goal is at the end to be the person who's covered the most area.

Oh ok, right.

So then all my stuff will be the blue thing and yours will be the things in red.

Ok, Um, alright, Well let's go with um, maybe just underneath it 'cause we can actually use what we know about six.

You know that, that's seven and do one more.

Like this.

So that's 7 X 2, and I might do stripes like this to show that's what you were thinking there.

Ok, my go.

Good luck.

Come on magic spinner.

I hope you get a nine.

So do I.

And I got a one.

I think 'cos your hope wasn't very generous.

It wasn't an accurate reflection of how you felt.

So I rolled a one.

So.

And I spun two's. 1 X 2.

So one two.

Which is two.

'Cause 1 x 2 is two.

And I would like my 1 X 2 please, to go on the end of your double six.

So that, that we then have a, across like that?

No, the other way, so we then have a square array, Oh, ok, that could be four sevens actually.

And will I write it this way?

Sure.

Ok, 'cause then,

Yeah it matches the array actually that way.

Alright, your go.

I'm glad my contribution is so enormous.

Ok, Alright.

So, two.

2, twos.

And the product of that?

Ah, four.

Four and where would you like?

What area would you like to block out?

Um, I think next to your your 1 X 2.

I think.

So like a square?

Yeah.

2 X 2's would always be a square, wouldn't it, or is it yet 'cause I can't?

I can't break it up.

You can if you want, Oh, ok.

It's in the game.

Ok, but I'm happy with that.

Um, and I'm going to do swirls.

Oh yeah, I didn't give you a little code, so I might give you dots for the first times two.

Ok, maybe I should say, come on, unlucky spinner.

And off then.

Oh, no still, still unlucky.

Do you want to spin again?

No, but thank you for that generosity Um, 1 X 2 please.

Ok, 1 X 2.

May I have the spinner please?

Sure.

I'm going to try to go backwards.

That worked.

Yes, nine.

Two's. 9 X 2's .

Ok, so, and what is that product of 9 X 2's?

Eighteen.

Ok.

But because I know I can do this and now you've made me start thinking about being evil.

I would like two of my nine twos to go here.

Ok, where?

Two of your nine twos.

Up here.

Ok, so that's two, twos.

Yeah.

Ok, do I write two, twos in it?

Ok.

And then maybe put in brackets two, nines, nine, twos so that we know that it's part of the nine, twos collection.

Ok, yeah.

So nine, twos in here 'cause I still have seven, twos left that I can use.

Yep.

So I might use three, twos down here.

Oh wow!

OK.

Yeah.

And then I'll pattern that the same way so we can all tell.

Ok, so that's three, twos.

Of my nine, twos.

That's right.

So that's five, twos all together.

So I still have four more twos to go and you could go this way and that would make it kind of pretty.

I could but I don't want to do that.

You don't want to make it pretty Ok.

I want to go.

I'll just do four, twos down here.

In there?

Yeah.

Ok.

I wonder if you're doing this on purpose, like leaving this weird little thing that?

Yeah, oh ok.

That's great, Ok, four, twos of your nine, twos.

Now I need to be careful with how I showed that this is all the same term.

So it might be worth putting a little like asterisk or something.

Yeah?

And then saying down the bottom write it as three, twos plus two, twos plus four, twos.

Then I might put a little asterisk here as the code.

Ok, so down the bottom?

Yeah.

So I'll put in three, twos plus two, twos, plus four twos.

And I really did that to show you that you can break it up as much as you like, and you can be quite silly.

Equals eighteen, but I'll put in here, equals nine, twos.

Yes, 'cause that's actually what you rolled, nine, twos.

Ok?

Well right over to you mathematicians to have fun playing Doubles Fill.

Have fun.

Collect resources

You will need:

  • 0-9 spinner

  • doubles spinner (to the right)

  • game board (to the right)

  • pencils

  • 2 paperclips.

Double fill spinners.pdf
Doubles fill.pdf

How to play

  • Players take turns to spin the 9 spinner (or roll dice) and spin the doubles fill spinner.

  • If a player spins a 6 and spins ‘double’, he or she doubles 6 to make 12, explaining their thinking to their partner who records the number sentence.

  • The player then colours in a corresponding array.

  • Then players swap roles.

  • If there is no space on the grid, players miss a turn.

  • Play continues until no one is able to add another array.

  • Players then calculate the number of squares they covered and the person with the largest area is the winner.

Other ways to play

  • Use materials to work out double facts.

  • Make up ‘codes’ to show the order in which they made the arrays (see video).

  • Students can rotate and rename the array to use the commutative property, e.g. change 5 twos into 2 fives and colour the corresponding array.

  • Change the spinner to include repeated doubling.