Capture ten

Hello mathematicians, I am joined by the mathematician Barbara today.

Hello mathematician Michelle, how are you?

I am very good. How are you? I'm very well. We're going to play a game to today, but we're going to play together this game.

So are cooperating and we're thinking together. We're thinking and working together. And this game comes from Cathy Fostnot who works in the US and it's called capture 10.

Okay, how do you play?

So we need our playing cards and we only need Ace through to 10 so we took out all the picture cards or except the Jack. I forgot that one. And that one. And I think we're good to go.

And then you are an amazing shuffler, so can you please showcase your skills? Sure.

Are you ready Mathematicians?

So we need to take off 1 card so if you can go first an 8 and I got a 5. So what we're looking for is can we rethink our numbers and capture a 10?

Oh, okay. So for example, if we have 8 here and I moved 2 of these across I'd then have...

Oh then you'd have 10 and 3 more, so 13.

It would go here. Oh, okay. But we write it as the cards that we have. Okay, so show me. So we would write 5 and 8 and we've captured a 10.

One 10 and in fact 3 more. Okay, let's do it again. Can you take a card? Not that one. Sorry. So that's 1 right? Uh-hum and a 9.

Oh, that's great! Sort of because we have to capture 10 and 1 more. Ah so we can't capture,

That's 10 exactly.

Also, we can't exactly, so that doesn't actually belong in our game board. Okay, so we just remove our cards.

Okay. And you take a card. 6 And I will take a card. Okay, so I'm going to do what you said before and I'm going to imagine 2 of these hearts moving across to the 8 so then making 10 and 4.

Yeah, because if you move those across I can cover that one like this and go, Oh yeah, there's another 2 here and 10 and 4.

10 and 4 more. And so 8 and 6 is equivalent to 10 and 4. I captured the 10! Great! Okay, let's go again.

Oow! What are you thinking this time? Well, we can do it a couple of ways because I've already played with 8 before so I can do the same thing and imagine 2 of these 7 moving across, and then I'll have 10 and 5.

Yeah, because if we cover that you can see the 5 that's left and imagine the 2 here. I could have done it the other way.

Talk to me about that way. So I've got 7 here, so if I actually imagine 3 moving across to make 10. So those 3 like that.

That's right, and then that becomes 10 and 5 more that way. And when you cover it that. way, you can actually see the 5 looks like a 5 on a dice.

It does. So that made it 10 and 5. So it's 7 and 8 is equivalent to 10 and 5. Okay, two more cuts Okay. Sorry, Jack. Hit the road.

Okay. Oh, Okay. So 6 and 9. Do you want me to talk through it? Yes. I think I'm having all the turns.

So 9's really close to 10, just need 1 more, so I'm going to. I'll do what you did as well. I'm going to imagine one of these diamonds moving across.

And I've got some counters so... Okay. Yeah we're going to do it together. Ready? You use the card.

You cover it. And I'm going to. So that's the one that you covered, and then we're moving that across to here, so that now becomes 10 .

I like that. That really helped me. So now 10 and 5. Did that help? Yeah. So 6 and 9 is 10 and 5. Oops 6+9.

Oh, you need to put it over here. I do too. Thank you for helping. Because I would never really have thought before that 6 and 9 is equivalent in value to 7 an 8, which is equivalent in value to 10 and 5. Yeah. 'Cause they look so different!

But they make the same total. Hold on a second. Let's let's have a look at this 'cause now I'm really curious to know.

Wait. Can you make 9? Sure. Anyway that I like. Yeah and I might get 6 - 2, 3, 4, 5, 6. Actually I might use all blue.

Now I like colour. I need some more too. Would you like green. Sure. That's enough for me. Can you make 9 in green?

All green? Yeah 'cause it might help our brains be able to see what we're thinking about a bit more. Yes. Have you got enough? Yeah.

Okay, so there we go, there's 9. Okay, so you've got 9 and I've got. 6 here .So 9, 10 oh look like a 10 frame.

So 11, 12, 13, 14, 15. So 10 and 5.Oh I really like how that's set out. But look, wait, wait, that's that's 9 and 6.

And then, hoosh. Now 8. And. Oh, which is the other one that we had up there? So it's still the same in total, but it's just the collections are arranged differently. Alright, that's really made my brain so it that's very cool.

Alright mathematicians, over to you to have a game of capture 10. What a fun game. Really fun. Have fun. Enjoy.

Okay, so what's the mathematics we're using in this game? So some of it is that this game gives us a really meaningful opportunity to use the make 10 strategy. Sometimes we call this bridging to 10, sometimes we call it using landmark numbers. Either way, it's a really important strategy to help us use what we know to solve what we don't know yet.

And this game also reminds us that we can think flexibly about numbers so that when I see 6 and 9, I can really think of it as 5 and 10. Still 15.

Enjoy playing mathematicians.