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I can recognise and count groups of ten.

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Licence

This content is © Oak National Academy Limited (2023), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Key learning points

Objects can be put into groups of 10 to make them easier to count.
You can recognise a group of 10 because when you separate them, there will be 10 objects.
If there is not 10 in each group, they are not groups of 10.
Groups of 10 can be called tens.

Common misconception

Any group of objects can be counted in tens.

Identify groups that do and do not have 10 objects, drawing attention to the fact that colour, orientation and size are not relevant.

Keywords

Group - Objects that are gathered together into a set are said to be in a group.
Separate - When a group of objects are taken or split apart they have been separated.

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Hello, my name's Mrs. Cornwell and I'm really pleased to be working with you today.

We're going to use some of the things you already know to help you with some new learning and I know you're going to do really well.

So let's go.

So today's lesson is on the composition of decade numbers making groups of 10, and it comes from the unit: Counting in 10s-decade numbers.

By the end of today's lesson, you will be able to recognise and count groups of 10.

So the words that are going to be important for our learning today are group, we'll hear lots about groups, okay? And also the word separate.

Okay? Or separate.

Okay? So we'll come across those and they'll help us in our learning.

So the first part of today's lesson is to recognise one group of 10 and then we'll move on to the second part, which will be about recognising and counting more than one group of 10.

In this lesson today, you will meet Sam, Andeep, Laura, Jacob, and Izzy, and they're going to be helping us with our learning today.

It can be difficult to count large groups of objects.

We can see there's a lot of cubes there and they will be quite tricky to count, wouldn't they? Putting them into groups of 10 can make it easier to count them.

So there we can see that we've put them into a group of 10 and then another group of 10.

So we can see one group of 10, two groups of 10.

So it makes it easier to organise and count them.

To find out if objects are in a group of 10, you can separate them and count them.

So we can see we've got our group of 10 there.

And then to find out if it is a group of 10, we can separate each of the cubes and count them up.

One, two, three, four, five, six, seven, eight, nine, 10.

If you count 10 objects in the group, it is a group of 10.

Sam says all of these are groups of 10, are they correct? Okay? So how will we find out, I wonder.

Is this a group of 10? A group of 10 must be made up of 10 individual cubes, 10 separate cubes.

One, two, three, four, five, six, seven, eight, nine, 10.

This is one group of 10.

When you separate them, there are 10 cubes.

So we found out when we counted and checked that it was one group of 10.

Is this a group of 10? I wonder how we'll find out, what will we do? That's right, a group of 10 is made up of 10 objects.

So to find out we need to separate and count them, don't we? One, two, three, four, five, six, seven, eight, nine, 10.

So there's Sam again saying, \"This is one group of 10.

When you separate them, there are 10 cubes.\" Is this a group of 10? It looks a bit different.

Lots of different colours on this one.

So is it still a group of 10? A group of 10 is made up of 10 objects.

So we need to find out if it's got 10 cubes in that group, don't we? one, two, three, four, five, six, seven, eight, nine, 10.

And there's some again, this is one group of 10.

When you separate them, there are 10 cubes.

So it didn't matter that they were different colours, but there were 10 in the group and that's what means it's a group of 10.

Is this a group of 10? So this is a different way now it's laying down, isn't it? Instead of standing up.

A group of 10 has 10 objects.

One, two, three, four, five, six, seven, eight, nine.

Ooh, this is not one group of 10.

When you separate them, there are not 10 cubes.

Is this a group of 10? So this looks completely different.

It's arranged in a different way.

But is it a group of 10? How will we find out? That's right.

We need to separate and count them, don't we? To check.

A group of 10 has 10 objects.

One, two, three, four, five, six, seven, eight, nine, 10.

This is one group of 10.

When you separate them, there are 10 cubes.

So that's how we know it's a one group of 10.

These sticks all look different, but they all showed one group of 10.

When they were separated, they all had 10 cubes.

Any object can be put into a group of 10.

So we can see a vas of flowers there.

A group of 10 must have 10 objects.

So how will we find out if that is one group of 10? That's right, we need to count them and see if it has 10 objects.

One, two, three, four, five, six, seven, eight, nine, 10.

There are 10 flowers.

So this is one group of 10 because it has 10 objects.

A group of 10 must contain 10 objects.

So here we are, there's an egg box with some eggs in.

But is it a group of 10? How will we find out? That's right, we will count them to check.

One, two, three, four, five, six, seven, eight.

There are not 10 eggs.

This is not one group of 10 because it does not have 10 objects.

A group of 10 must contain 10 objects.

So is this a group of 10? One, two, three, four, five, six, seven, eight, nine.

Oh, there are not 10 pencils.

This is not one group of 10 because it does not have 10 objects.

A group of 10 must contain 10 objects.

So I can see a bus there.

One, two, three, four, five, six, seven, eight, nine, 10.

So is that a group of 10? There was only one bus but there were 10 children on the bus.

So there are 10 children on the bus.

So it is one group of 10 because it has 10 objects, 10 children.

So they made one group of 10 children, didn't they? Sometimes we can find a group of 10 without counting.

We can subitize.

That's when you look at the objects and you can use what you know about numbers to work out how many there are without counting.

You can sort of group them and imagine them in your head, can't you? So is this one group of 10? I know I have 10 fingers on my hands.

One group of 10 has 10 objects.

So this is one group of 10 because it has 10 objects.

So your 10 fingers are one group of 10, aren't they? Look at this one.

There are not 10 fingers.

Somebody's put their thumb down there, haven't they? One group of 10 has 10 objects.

This is not one group of 10 because it does not have 10 objects.

There's not 10 fingers up.

We know there are spaces for 10 counters on a 10s frame.

When it's full, there are 10 counters on a 10s frame.

Is this a group of 10? That's right, a group of 10 has 10 objects.

This is one group of 10 because it has 10 objects.

It's got 10 counters on the 10s frame.

If you look carefully you can see five blue ones and five red ones, can't you? There are 10 beads on a bead string.

Is this a group of 10? A group of 10 has 10 objects.

This is one group of 10 because it has 10 objects there.

We can see that there are five red beads and there are five white beads there, aren't there? Is this a group of 10? So remember when it's full, a 10s frame has 10 spaces and it has 10 counters on it, doesn't it? But this one isn't full.

So a group of 10 has 10 objects.

There are some empty spaces on the 10s frame.

So this is not one group of 10 because it does not have 10 objects.

Got one space missing.

I wonder how many are on there? Hmm.

Is this a group of 10? Hmm.

So we can see it's not a full bead string, is it? A group of 10 has 10 objects.

Some of the beads on the bead string are missing.

This is not one group of 10 because it does not have 10 objects.

So let's have a try on your own.

Now which of these is one group of 10? So we can see we've got some cubes there, we've got some pencils and we've got some fingers, haven't we? Which one do you think is showing one group of 10? Remember how you find a group of 10, what you need to do, okay? And have a think about that.

I'll give you a little bit of thinking time.

That's right.

Did you spot it? You can see the cubes there.

It looks a bit like a 10s frame, doesn't it? With a five on one side and a five on the other side.

So that was the one.

When you count them, you can see there are one, two, three, four, five, six, seven, eight, nine, 10.

There are 10 objects.

So it is one group of 10.

The teacher shows the children how to make one group of 10.

I wonder what she did.

Yeah, that's right, she got 10 objects, 10 cubes and put them into one group, didn't she? And there's Andeep, he's saying, \"I have made one group of 10.\" Is he right? How will we find out if that is one group of 10? And then here's Laura and she says, \"I've made one group of 10.\" How will we find out if she's made a group of 10? Have a think about what you'll need to do.

That's right.

So is she right? There's Andeep and he's saying, \"I know I made one group of 10 because when I checked, my group was made of 10 cubes.\" So you needed to separate your cubes and count them to see if there were 10.

Because if there were 10 objects, 10 cubes, then it would be one group of 10.

And the same with Laura here.

\"I know I made one group of 10 because when I checked, my group was made of 10 cubes.\" Okay, and then here's Sam and Jacob.

Sam says, \"I have made a group of 10\" and Jacob says \"I have made a group of 10.\" How will we find out if they are right? If they have made a group of 10? Are they right? So here's Sam.

\"I know I made one group of 10 because when I checked my group was made of 10 cubes.\" That's right.

She needed to separate her cubes and count them to check that there were 10 objects in the group.

What about Jacob then, \"I knew I did not make one group of 10 because when I checked my group was not made of 10 cubes.\" So when he separated and counted, he can't have counted 10.

And if we have a look at the cubes there, one, two, three, four, five, six, seven.

He's only got eight cubes there.

So it was not one group of 10.

Okay, so now it's time for you to have a turn.

So it says complete each stem sentence, then match them to the pictures.

So it is one group of 10 because? So how do we know something's one group of 10.

And then you've got to complete the other stem sentence.

It is not one group of 10 because, okay? So I'm going to give you a little bit of thinking time to think about how you would complete those sentences before we move on to the next part of the task.

Okay, so how did you finish those sentences then? It is one group of 10 because? Let's have a look.

That's right, it has 10 objects.

Well done.

And it is not one group of 10 because? It does not have 10 objects.

That's right.

Okay, so let's have a think about which groups have 10 objects, which are groups of ten first of all.

So you have a think about that.

I'll give you a bit of thinking time, see if we can match them up.

You could perhaps point to the ones that have 10, is a group of 10 and then point to the ones that aren't groups of 10.

Which ones the first group of 10 that you spotted then? It is one group of 10 because it has 10 objects.

That's right, the 10s frame.

We know when a 10s frame's full then it has 10 counters on it.

So that must be one group of 10.

Did we spot any other groups of 10? That's right, the fingers.

We have 10 fingers up.

We know our 10 fingers are a group of 10, aren't they? What about.

Are there any other groups of 10? What do we think about the cups here? That's right, it is not one group of 10 because it does not have 10 objects.

We can see that the cups are on a 10s frame but there's one missing.

It's not full.

So it's not one group of 10.

It does not have 10 objects.

And lastly, what about the cubes? What do we think? That's right, that's not a group of 10 either, is it? Because it looks a little bit like a 10s frame, but you can see there's only four on each side.

When you count them up, there are eight cubes.

So there, it does not have 10 objects.

It is not one group of 10.

Okay, so your task for the first part of today's lesson is here.

So we've got Laura and we've got Sam and they've got some cubes, haven't they? And Laura's saying \"I will count out 10 cubes and join them together to make a group of 10.\" She's trying to make one group of 10.

And then Sam's saying \"I will separate your cubes and count the cubes to check.

If it is a group of 10, I will put them back together again and you can keep them.\" \"Then it will be my turn.

I will use different cubes to make a group of 10.

You can then separate the groups of cubes to check.\" So each child will make a group of 10 and then their partner will check and if there is a group of 10 that they've made, they get to keep it, don't they? Perhaps you could try making some different colour groups of 10.

Can you make groups of 10 that all look different? And think about notice, what is the same about all of your groups of 10.

So pause the video now while you have a try at that.

So let's see how we got on.

\"Here's Laura and she's saying I counted out 10 cubes and put them together to make a group of 10.\" Then Sam says, \"I separated and counted the cubes.

The group was made of 10 cubes so I put it together again and gave it back to you.\" \"Then I made a different colour group of 10 for you to check.\" So hopefully you did that and made some groups of 10 for your partner to check.

And then you were able to keep some of your groups of 10 because they had 10 objects.

You knew it was a group of 10.

And you can see there's a new group of 10 that some made there.

It's a different colour.

Doesn't look exactly the same as Laura's, but we know it was a group of 10 because it had 10 objects.

Well done.

You've worked really hard in this first part of our lesson and now hopefully you are feeling confident about what a group of 10 is.

So let's move on to the second part of our lesson where we will recognise and count more than one group of 10.

Here are some cubes.

I want to count them quickly to see if they have enough for a group of children.

I count them like this, one, two, three, four, five, six, seven, eight, nine, 10 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.

And there's Sam and they're saying, \"I wonder if I can find a way to count them more quickly\" because that took quite a bit of time didn't it? 'Cause there's quite a few cubes.

20 cubes.

The teacher decided to put the cubes into groups of 10 to count them.

One group of 10, two groups of 10.

We know that you can put objects into groups of 10 to organise them and make them easier to count.

And Sam is saying, \"I wonder which way was quicker.\" What do you think? I think it's much easier isn't it? And quicker to count two groups of 10 than it is to count 20 cubes separately.

When objects are in groups of 10, we can count the groups of 10.

One group of 10, two groups of 10, three groups of 10, four groups of 10.

Count the groups of 10 here.

So let's practise, one group of 10, two groups of 10, three groups of 10, four groups of 10, five groups of 10.

Count the groups of 10 here.

So there are different objects here, but we know it's still a group of 10 because there are 10 objects in each group.

So count the groups of 10 and complete the sentence.

One group of 10, two groups of 10, three groups of 10.

There are, mm, groups of 10.

How many groups of 10 did we see there? That's right.

There are three groups of 10, aren't they? Okay, count the groups of 10 here and complete the sentence.

So we've got one group of 10, two groups of 10, three groups of 10, four groups of 10, five groups of 10, six groups of 10, seven groups of 10, eight groups of 10.

There are, mm, groups of 10.

How many do you think? That's right, there are eight groups of 10 pencils, aren't there? We know there's 10 in each group.

So it's a group of.

Each group is a group of 10.

Count the groups of 10 here then.

So how many groups of 10 can you see there? Remember you can count them as they come up.

There are, mm, groups of 10 cubes.

How many do you think? That's right, there were one group of 10, two groups of 10, three groups of 10, four groups of 10, five groups of 10 there, aren't there? Here's Sam and they are saying, \"I can see three groups of 10 pencils\" is Sam right? What do you think? What do you notice about those groups? A group of 10 pencils must have 10 pencils.

These only have four pencils in each group.

So they are not groups of 10, are they? They're not in groups of 10, so they cannot be counted in 10s.

You can only count them in groups of 10 if there are 10 in each group, if it's a group of 10.

And here's Sam saying, \"I can see three groups of 10.\" Are they right? Is Sam right? Each group of 10 must have 10 counters.

They're not all in groups of 10.

So they cannot be counted in 10s.

If you notice there are two full 10 frames that must have 10 on them.

But then that last 10s frame there has one missing.

So that's not a group of 10.

So we can't count them in groups of 10.

Every group has to have 10 in it if we're going to count them in 10s or groups of 10.

And there's Sam again.

\"I can see three groups of 10.\" Are there three groups of 10 now, do you think? Is Sam right? Each group of 10 must have 10 counters.

Does each group have 10 counters? They are in groups of 10.

So they can be counted in 10s because even though they're different colours, they are all groups of 10 because they all have 10 counters on the 10 frame, each 10 frame has 10, doesn't it? That's right.

Okay, so here's a chance for you to have a think now and do a little bit of work on your own.

So which of these shows five groups of 10, we've got some pencils, some fingers and some cubes and have a look at those.

Think about what makes a group of 10 and I'll give you a bit of thinking time.

Think about which one shows five groups of 10.

Did you spot it? That's right.

It was the pencils.

Each group of pencil, each packet of pencils has 10 in it and there are five packets, aren't there? The fingers, there were five fingers on each hand.

But there's not five groups of 10.

There's five groups of five there, aren't they? 'Cause there's five hands but there's not 10 in each group.

So each for it to be a group of 10, it would have to have 10 fingers in each group, not five.

And then you can see the cubes there.

There are five cubes, aren't there? But that's not in a group of 10 because there would need to be 10 cubes for it to be a group of 10, wouldn't it? So here's Jacob and he's saying, \"I can only see three buses.

They are not in groups of 10,\" is he right? I wonder, what do you think? There are 10 children on each bus.

The children are in groups of 10.

So even though there's three buses, we know that the children are in groups of 10 because we've got 10 children in each bus.

One group of 10, two groups of 10, three groups of 10.

So now it's your turn again.

Jacob is going to count the children on the buses.

Okay, we can see there are four buses there.

Jacob says, \"There are four groups of children.

There are four groups of 10.\" Is he right? So have a think about that, okay? And then I'll give you some thinking time and then we'll talk about it together.

So what did you think then? We can see that there are four groups, but are there four groups of 10? So we know to be a group of 10 it has to have 10.

A group has to have 10 objects.

So are there 10 in each group? So if you look at that first bus, there's some children missing and the second bus there are some children missing.

And that last bus, there's some children missing.

So actually there's only one group that has 10 objects.

So the groups are not in groups of 10.

The children are not in groups of 10, are they? So he's Jacob and he's realised no, there are four groups of children, but they are not all in groups of 10 because there aren't 10 objects in each group.

When you see groups of 10, you can call them 10s because it's quite long-winded, isn't it? It's quite long to say groups of 10, one group of 10, two group of 10.

So you can just call them 10s.

It means the same thing.

So let's have a look then.

There is one group of 10, there is one 10.

There are two groups of 10, there are two 10s.

There are three groups of 10, there are three 10s.

There are four groups of 10, there are four 10s.

That's right.

There are five groups of 10, there are five 10s.

There are six groups of 10, there are six 10s.

There are seven groups of 10, there are seven 10s.

That's right.

There are eight groups of 10, there are eight 10s.

There are nine groups of 10, there are nine 10s.

That's right.

And there are 10 groups of 10, there are 10 10s.

That's right.

Well done.

Remember, any object can be put into groups of 10, so far there are no groups of 10.

There are no 10s.

We can't see any 10s on the screen at the moment, can we? Oh, now let's have a look at this.

We know there's 10 flowers in that vas.

We counted them earlier, didn't we? So we've got one 10, there is one group of 10.

There is one 10.

And now we've got, there are two groups of 10, there are two 10s.

There are three groups of 10, there are three 10s.

There are four groups of 10, there are four 10s.

There are five groups of 10, there are five 10s.

There are six groups of 10, there are six 10s.

Count these groups of 10.

So we've got fingers this time, haven't we? Okay? And then we've got Jacob here and he's saying, \"I think there are eight groups of 10.\" Is he right? Have we got eight groups of 10 there? I can see eight hands.

But are there eight groups of 10? One 10 are, so you need two hands to have 10 fingers, don't you? So that's one group of 10, one 10, two 10s, three 10s, four 10s.

So Jacob wasn't right, was he? There were eight hands, but there were only four 10s weren't there because you needed two hands to make a 10.

There were eight hands, but only four groups of 10 fingers.

So your turn again here now.

So can you use a stem sentence to describe each picture? So each time you are saying how many 10s there are.

So you can see some 10s frames there.

Okay, they're all full.

So how many 10s have you got? And then some flowers that we know, there were 10 flowers in each vas, don't we? And there's some sticks of cubes in groups of 10 there.

So have a think about that.

I'll give you a bit of thinking time and you'll see if you can complete those stem sentences.

Okay, and how did we do with that? Let's have a look at these 10s frames.

So we can see that there's one, two, three, four, five 10s frames and they're all full, aren't they? So that means that there are five 10s.

Then we can see there are one, two, three, four, five, six, seven, eight, nine vases of flowers.

And they're all full.

They've all got the 10 flowers in.

So there are nine 10s and they're now cubes here in the sticks of 10s.

So we can see we've got one, two, three, four, five, six 10s.

There are six 10s there aren't there? Can you match the pictures to the correct number of 10s here? So another task for you to have a try at here.

So we've got some different objects there, some different numbers of 10s.

And along the bottom it says four 10s, two 10s, and one 10.

So I'll give you some thinking time.

You see if you can match those pictures to the correct number of 10s.

Okay, how did we do then? So let's have a look at this first one.

How many 10s frames can we see in that first picture? That's right, we can see two 10s frames.

We can see actually four.

It looks like four lines of counters there, can't we? 'Cause we can see a blue and a red and a blue and a red.

But there's only two full 10s frames.

So there's only two 10s, aren't there? So that needs to go to two 10s.

Then this next picture, we've got one, two, three, four 10s frames that are all full, so that must be four 10s.

And then this last one we can see two different colours, can't we? But when we count the cubes, when we separate and count them, we can see that there are 10 cubes.

So that is a one 10, isn't it? Well done.

Excellent work there.

So your task for this next part of our lesson there is you've got some pictures here of some groups of 10.

Some of them are in groups of 10 and some of them aren't.

So you've got to decide if each picture shows groups of 10 and sort them into the correct place on the table.

So you've got these pictures here, okay? And then you've got a table as well like that that says groups of 10 and not groups of 10.

So you've got to look carefully at each picture and decide if it's showing groups of 10 or not groups of 10.

And then sort your pictures into the correct part of the table.

And when you pick your picture and put it in the correct part, describe it using the stem sentence here.

There are, mm, 10s.

So when you've decided if it is in 10s, then you'd say how many 10s there are.

There are, mm, 10s.

So pause the video now while you have a try at that.

So let's see how we got on then here.

So on our groups of 10 side of the table, we can see the hands there.

Okay? And it says there are two hands each with 10 fingers.

So that's two 10s, isn't it? Got two groups of 10 there.

And then we've got one bus here, but there are 10 children on that bus.

So that is one group of 10.

On the other side of the table, not groups of 10, we can see the 10 frames.

And you might have spotted that one 10s frame has a counter missing.

It's not full.

So it's not one group of 10.

So there are three 10s frames, but there are not 10 counters on each.

The counters are not in groups of 10.

And then we've got some cubes here that have been separated.

And when we count them we find out there are nine cubes in the group.

They are not in groups of 10.

'Cause you need to have 10 to be a group of 10.

So how would you have described the ones that do show groups of 10 with your stem sentences? The fingers, you would've said there are two 10s, wouldn't you? And for the bus you would've said there is one 10.

That's right.

And then let's have a look at the other pictures.

So we've got our 10s frames here and we can see they're all full.

So they're in 10s.

Okay, so there are six 10s frames each with 10 counters.

There are six 10s.

And then we can see the pencil pots on the other side.

There are three pencil pots, but there are not 10 pencils in each.

So the pencils are not in groups of 10, are they? No.

Okay, well done.

You've worked really hard today and you should now know how to find out if something is in a group of 10 and also how to count groups of 10.

So well done.

That's excellent work.

So let's think about what we've learned.

So in our lesson today on the composition of decade numbers to 100, making groups of 10, we found out that objects can be put into groups of 10 to make it easier to count them.

And you can recognise a group of 10 because when you separate them there will be 10 objects.

And if there's not 10 in each group, they are not groups of 10.

And we also found out that groups of 10 can be called 10s.

It's just a quicker way of saying groups of 10.

It means the same thing, doesn't it? So well done for all your hard work.

I've enjoyed working with you today.

That's excellent.

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This is not 1 group of 10 because __________ ", "image": "https://www.thenational.academy/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1698328242%2Fn3ygi6wlywcpeh5oull3.png&w=384&q=75", "imageKey": "2d49438d-ae77-6f8a-ca18-e92b55beb4cd/question/d37f81cda658102538b12898d6ec4c3a.png" }, "questionType": "Multiple choice", "correct": [ { "text": "it does not have 10 objects." } ], "choices": [ { "text": "it has 10 objects." }, { "text": "it does not have 10 objects." } ], "id": "b72954f4-8c83-28d4-ab66-e13f365aa491", "lessonId": "f9138de4-166d-63ec-22e5-f73594e21bbf" }, { "type": "Question", "question": { "text": "How many groups of 10 can you see? 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", "download": { "src": "https://www.thenational.academy/teachers/programmes/maths-primary-ks1/units/counting-in-tens-decade-numbers/lessons/composition-of-decade-numbers-to-100-making-groups-of-10/downloads?preselected=additional+material" } }, "lessonId": "f9138de4-166d-63ec-22e5-f73594e21bbf", "meta": { "gradeStageId": "ks1", "subject": "Maths", "grade": "Year 1", "topic": null, "unit": "Counting in tens - decade numbers", "lessonCount": "5", "age": [ 5, 6 ], "gradeId": "age_5_6", "gradeStage": "Key Stage 1", "lesson": "Composition of decade numbers to 100: making groups of 10" } } ] }