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Hello, my name's Miss Robson, we're going to be practising our number bonds to 10.

We're going to be partitioning to find out the different parts of 10 and we're going to be working systematically to investigate all of the number bonds to 10.

Today, I have someone very special joining me because I need a talk partner for one of the games that I'd like us to play.

Meet Maths Monkey.

Maths Monkey is going to be helping us with our number bonds to 10.

He's going to be playing number bond tennis with me.

For today's lesson, all you will need is 10 things.

I'm going to use cubes, but you could use Lego or buttons, and you will also need a part-whole model.

You can pause the video now to collect your resources.

When you're ready, press play.

We're going to start today by practising our number bonds to 10.

These are the parts that make up 10.

So if I had a stick here with one, two, three, four, five, six, seven, eight, nine, 10, and I broke it somewhere like that, I have five as a part and five as a part.

10 is the whole.

Five plus five is equal to 10.

The way that we're going to practise our number bonds today is by playing number bond tennis, and for that, I'm going to need my talk partner, Maths Monkey.

Maths Monkey and I are going to play number bond tennis to work on how speedily we can recall our number bonds.

Are you ready, Maths Monkey? To play number bond tennis, I say a number, and then Maths Monkey needs to say the other part.

So if I said nine, you would say.

One.

Then we say the sentence, nine and one make 10.

Watch us first and then you can have a turn.

Six.

Four.

Six and four make 10.

Zero.

10.

Zero and 10 make 10.

One.

Nine.

One and nine make 10.

Four.

Six.

Four and six make 10.

One more.

Five.

Five.

Five and five make 10.

Are you ready to have a turn? I'll start with one part and you have to tell me what the matching part is.

If you need to pause the video to use your manipulatives to help you work out what the other part is, that's fine.

You pause it when it's your turn.

Then, together, we're going to say the sentence.

Six.

Four, six and four make 10.

One.

Nine, one and nine make 10.

Five.

Five and five make 10.

Zero.

Zero and 10 make 10.

Seven.

Three, seven and three make 10.

Four.

Four and six make 10.

Fantastic, number bond tennis is a game that you can play with a talk partner, parent or carer whenever you want to practise your number bonds.

The more you practise, the faster you'll get.

When we're partitioning our number bonds to 10 to find out the different parts, it can be really helpful to organise our thinking by using a part-whole model.

A part-whole model has a big square for the whole and then this one today has two parts.

So there is a part, a part and a whole.

What we're going to do is we're going to get our 10 things, and it might help if you have yours in front of you so that you can do the same that I'm doing.

Here is my part-whole model, which I've just drawn on my whiteboard, and my 10 things that I'm going to be using today to share and to partition.

What I need to do is start with all of them in the whole.

Because we're finding parts of 10 today, we're finding the number bonds to 10, I need 10 things.

So let me check, one, two, three, four, five, six, seven, eight, nine, 10.

I definitely have 10 in my whole now.

What I'm going to do to partition is I'm just going to break it into two pieces because I have two parts here.

So I'm going to pick it up and break it here.

Popping one part in there and one part in here.

In my first part, I have one, two, three.

Three is a part, and one, two, three, four, five, six, seven, seven is a part.

Three is a part, seven is a part, the whole is 10.

Three and seven make 10.

That's one of my number bonds.

I can keep doing this by putting them all back together and popping them in the whole, and then breaking them into another part to see what other combinations I can come up with.

I've got four as a part and six as a part, four is a part, six is a part, the whole is 10.

Four plus six is equal to 10.

Let's do two more.

I can do one as a part and nine as a part, one is a part, nine is a part, the whole is 10.

One plus nine is equal to 10.

I can also do one of my favourite ones, which is where I'm going to put all of this in the first part.

So I've got 10 in the first part and how many here? That's right, there are zero.

10 is a part, zero is a part, the whole is 10.

If I move this one down here, I've got zero as a part and 10 as a part, the whole is 10.

Let's try one more, and this time I'd like you to count.

You can use your finger and count my cubes on the screen if you would like to, if that helps, and see if you can tell me about the different parts that you can see.

So the first part.

And the second part.

Have a go at saying the sentence, mm is a part, mm is a part.

The whole is mm.

Fantastic, five is a part, five is a part, the whole is 10.

This is a double number, five plus five is 10.

Double five is 10.

Working systematically means being efficient and having a method to the way that we're working.

So for example, I might start with all of my cubes in one part, and one by one move them to the other part, recording the equations as I go.

That way, I can make sure that I have explored as many of the options as possible.

When I'm finished, I'll want to check back through all of my equations and see if I think I've found all of the possibilities.

Let me show you an example of me working systematically.

I have 10 cubes in my whole and I have my part whole model, but this time, I'm working systematically.

So I'm going to try and work in an order, I'm going to try and just move one cube to the second part one by one, recording my answers as I go.

I'm going to start with all 10 in the first part, which means I will have 10 plus zero is equal to, how many were in the whole all together? 10, fantastic.

10 plus zero equals 10.

Then I'm going to put nine cubes there and one in the second part, so now I have nine plus one is equal to 10.

Nine and one more is 10.

So my whole is still 10, now I'm going to move one more cube to my second part, so I have eight plus two.

Eight plus two is equal to 10, and I'm going to keep going, moving one cube at a time to the bottom, recording the equation each time.

That way, I will know that I have worked through every possible combination.

I will have worked systematically to make sure that I've found all the possible parts of 10 when we're splitting 10 into two parts.

Now it's your turn to work systematically and explore all of the number bonds to 10.

It's an investigation, and I want to see if you can find all of the possibilities.

Pause the video now to complete your task.

When you're finished, press play.

Did you find all of the number bonds? I did the same activity and I worked systematically, and I think I found something interesting in the way that I've recorded my number bonds.

Let me show you, and you can see if you can spot the same thing that I did.

After working systematically and recording all of my equations like this, I noticed something really funny happening in this column here.

Have a look, can you spot something? Pause the video now to have a really good look.

I noticed that in this column here, 10, nine, eight, seven, six, five, there's a pattern.

This column is taking away one each time.

The numbers are getting one smaller each time, one less.

It's like I'm counting backwards.

Then, in this column here, it's the opposite.

Zero, one, two, three, four, five, it's going up in ones each time.

There's a pattern this way, but it's like I'm counting up.

And in my last column, the number always stays the same.

That's because I never took any cubes away and I never added any more, there were always 10 cubes in my whole.

If you recorded yours systematically like me, did you spot any of these patterns? Was there anything else that you found out whilst you were investigating your number bonds to 10? You've done some fantastic learning today, why not share your work with us? If you'd like to, please ask your parent or carer to share your work on Twitter by tagging @oaknational and #learnwithoak.

We'd love to see what you've been doing.

Thank you so much for joining me today, see you next time.