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I can use a part-whole model to represent a whole partitioned into two parts.

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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

A whole group can be split in different ways and the 2 parts may look different.
Add a numeral to the whole position when the objects have been moved out.
Use part-part-whole diagrams in different orientations.
Include examples where the two parts contain the same number of items.
Represent the whole and the parts using numerals alongside the concrete and pictorial representations.

Common misconception

When using the part-whole model, children may think that the whole is also one of the parts.

When using the part-whole model, move the objects out of the whole into the parts, and replace the whole with a number.

Keywords

Whole - All of something. Complete.
Part - A piece of a whole.
Partition - To break up a whole into parts.
Part-part-whole - A pictorial representation that shows the whole and its parts.

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Hello, I'm Mrs. Kaley and I'm going to help you with your learning today.

In today's lesson, we're going to use a part-whole model to represent a whole partitioned into two parts.

Here's the outcome of today's lesson.

So by the end of the lesson, you'll be able to do this.

I can use a part-whole model to represent a whole partitioned into two parts.

Here are the keywords for today's lesson.

We've got whole, part, partition, and part-part-whole.

Can you repeat them after me? My turn, whole.

Your turn.

My turn, part.

Your turn.

My turn, partition.

Your turn.

My turn, part-part-whole.

Your turn.

Well done.

Do you know what these words mean? So the word whole, you might want to make your hands into a big circle to show that you have got the whole of something.

You've got all of it.

None is missing.

Then you've got part.

You might want to make a small part with your fingers.

This means that you have not got it all.

You've just got part of the whole object or the whole set of objects.

Then we've got partition.

That means we're going to split a whole into parts.

And then we've got part-part-whole.

This is talking about a part-part-whole model or a part-part-whole diagram, which is also called a cherry model sometimes.

It's a representation for showing how we can partition a whole into parts.

Here's today's lesson outline.

So we are going to use a part-whole model to represent a whole partitioned into two parts.

So we'll start off by partitioning into two parts, and then we'll be using a part-whole model.

Let's start on the first part of the lesson.

Here are some children that are going to help us in today's lesson.

We've got Laura and Alex.

Let's start with the learning.

A whole group can be partitioned in different ways.

The parts may look the same or different.

How could we partition these cubes? So have a look at the cubes that we've got here.

Shall we count them together? We've got one, two, three, four, five, six cubes.

So there are six cubes in the whole group.

We could split them into parts.

I'm going to put a ring around some of the cubes here.

There are two cubes in this part.

And there are four cubes in this part.

Six can be partitioned into two and four.

Six is the whole.

Two is a part and four is a part.

The parts look different, don't they? Can six be partitioned in a different way? Can you think of a different way that we could have partitioned in six cubes? A whole group can be partitioned in different ways.

The parts may look the same or different.

Here, we've got six cubes again.

How could we partition these six cubes? There are six cubes in the whole.

I'm going to partition these six cubes by putting a ring around three of them.

There are three cubes in this part.

Now, I'm going to put a ring around the other three.

There are three cubes in this part.

Six can be partitioned into three and three.

Six is the whole.

Three is a part and three is a part.

This time, the parts are the same.

A whole group can be partitioned in different ways.

The parts may look the same or different.

How could we partition these cubes? I wonder how many cubes we've got in the whole group.

Shall we count them? One, two, three, four, five, six, seven, eight cubes.

There are eight cubes in the whole group.

How could we partition them into two groups? How could we split them into two parts? I've put a ring around four of the cubes.

There are four cubes in this part.

I've put a ring around the other part.

There are four cubes in this part.

Eight can be partitioned into four and four.

Eight is the whole.

Four is a part and four is a part.

These parts look the same.

Can eight be partitioned in a different way? Here's eight cubes again.

A whole group can be partitioned in different ways.

The parts may look the same or different.

How could we partition these cubes? There are eight cubes in the whole.

I'm going to put a ring around part of the whole.

I've put a ring around three of the cubes.

There are three cubes in this part.

There are five cubes in this part.

Eight can be partitioned into three and five.

Eight is the whole.

Three is a part and five is a part.

The parts look different.

A whole group can be partitioned in different ways.

The parts may look the same or different.

How could we partition these cubes? I wonder how many cubes we've got in the whole group.

Shall we count them? One, two, three, four, five, six, seven cubes.

There are seven cubes in the whole.

How could we partition the seven cubes? I've put a ring around three of the cubes.

There are three cubes in this part.

Now, I've put a ring around the rest of the cubes.

There are four cubes in this part.

Seven can be partitioned into three and four.

Seven is the whole.

Three is a part and four is a part.

The parts look different.

Can seven be partitioned in a different way? Yes.

It can be partitioned in different ways.

Here, we've got seven cubes again.

A whole group can be partitioned in different ways.

The parts may look the same or different.

How could we partition these cubes? We've got seven cubes in the whole group.

I've put a ring around two of the cubes.

There are two cubes in this part.

There are five cubes in this part.

Seven can be partitioned into two and five.

Seven is the whole.

Two is a part and five is a part.

The parts look different.

Let's check your understanding.

Has the whole group been partitioned correctly? How many cubes have we got in the whole group? We've got one, two, three, four cubes in the whole group.

So I've written a four at the top there.

Have the four cubes been partitioned correctly? Pause the video and have a think about this one.

Laura said, \"There are two cubes in this part.\" Alex said, \"There are two cubes in this part.\" So yes, it has been partitioned correctly.

Four can be partitioned into two and two.

Let's check your understanding again.

Has the whole group been partitioned correctly? How many cubes have we got this time in the whole group? Shall we count them? Can you count them with me? One, two, three, four, five, six cubes in the whole group.

And it has been partitioned into two parts.

Has it been partitioned correctly? Pause the video and think about this one.

No, this has not been partitioned correctly.

There are three cubes in one part and two cubes in another part.

That doesn't make six altogether.

Six cannot be partitioned into three and two.

Let's check your understanding again.

Who do you agree with? Laura said, \"Six is the whole.

Three is a part and three is a part.\" Alex said, \"Three is the whole.

Six is a part and three is a part.\" Who do you agree with? Pause the video and think about this one.

That's right.

Laura was correct.

Six is the whole.

And three is a part and three is a part.

Six can be partitioned into three and three.

Well done if you got that one right.

Here's a task for you to have a go at.

Can you partition six cubes into two parts in different ways? So if you've got some cubes, can you get six cubes and have a go? If you can't find cubes, you can find any object or you could draw them on a piece of paper.

Can you use the stem sentences to help you? Six can be partitioned into mm and mm.

Six is the whole.

Mm is a part and mm is a part.

So pause the video and have a go at this task.

How did you get on with your task? Did you find different ways to partition six? So I found some different ways to partition six into two parts.

I partitioned into five and one, four and two, three and three, two and four, and one and five.

Did you find some ways to do it? Let's move on to the second part of our lesson.

We will be using a part-whole model.

A whole group can be partitioned in different ways.

The parts may look the same or different.

This is a part-whole model.

Sometimes people call it a part-whole diagram.

Sometimes people call it a cherry model because it looks a bit like a bunch of cherries.

A whole group can be partitioned into two parts.

Here, we've got five counters.

I wonder how we're going to partition them into two parts.

There are five counters in the whole.

There are four counters in this part.

There is one counter in this part.

Can you see? We have partitioned five into two parts.

One of the parts has got four counters and one has got one counter.

Five can be partitioned into four and one.

Five is the whole.

Four is a part and one is a part.

We can put numbers in the part-whole model.

So five is the whole.

Four is a part and one is a part.

Can you see how the numbers represent the objects that were in there? Five can be partitioned into four and one.

Five is the whole.

Four is a part and one is a part.

If we know the parts, we can work out the whole.

Have a look at the parts here.

There are four counters in this part.

There is one counter in this part.

I wonder what the whole will be.

I'm going to put numbers in to represent the counters.

We had four counters and one counter.

If we put them together or combine them, that makes five counters.

There are five counters in the whole.

Five can be partitioned into four and one.

Four is a part and one is a part.

Five is the whole.

If we know the parts, we can work out the whole.

Have a look at the parts here.

We've got four cubes and two cubes.

I wonder what the whole's going to be.

If we combine the parts, we can make the whole.

If we put four and two together, we'll work out what the whole is.

It's six.

Six cubes make the whole.

Four is a part and two is a part.

So six is the whole.

The parts can be combined to make the whole group.

The whole is five and one of the parts is three.

We can work out the other part.

What do you think the other part is? Laura said, \"Five is the whole.

Three is a part.\" Alex thinks the missing part is two.

Do you agree? Five is the whole.

Three is a part and two is a part.

Let's check your understanding.

Have a look at this part-whole model.

We've got four cubes in the whole.

And we've got three cubes in one of the parts.

Who do you agree with? Laura said, \"The missing part is seven.\" Alex thinks the missing part is one.

Pause a video and think about who you agree with.

That's right.

The missing part was one.

Four can be partitioned into three and one.

Four is the whole.

Three is a part and one is a part.

Let's check your understanding again.

We've got another part-whole model.

Can you see there are four counters in the whole and there are two counters in one of the parts? I wonder what the missing part will be.

Laura thinks the missing part is six.

Alex thinks the missing part is two.

Who do you agree with? Pause the video and have a think.

That's right.

The missing part was two.

So Alex was correct.

Four is the whole.

And two is a part and two is a part.

Let's check your understanding again.

Here, we've got another part-whole model.

We've got three in one of the parts and three in the other part.

I wonder what the whole will be.

Who do you agree with? Laura said, \"The whole is six.\" Alex said, \"The whole is three.\" Pause the video and think about who's right.

That's right.

The whole is six.

So Laura was correct.

Six is the whole.

Three is a part and three is a part.

Let's check your understanding again.

Who do you agree with this time? Have a look at the part-whole model.

We've got five as a part and one as a part.

I wonder what the whole's going to be.

Laura said, \"The whole is six.\" Alex thinks the whole is four.

Who do you think is right? Pause the video while you think.

That's right.

The whole was six.

So Laura was correct.

Six is the whole.

Five is a part and one is a part.

Here's a task for you to have a go at.

Can you find five cubes? If you can't find cubes, you can find any object, but you need to find five of them.

How many ways can you partition them into two parts? We've got some part-whole models here that you can use to help you.

So record your parts on the part-whole models.

Here's the second part of your task.

This time, four is the whole.

Can you draw the missing parts? So I've given you one of the parts.

You need to work out what the other part is.

Remember that four is the whole.

Pause the video and have a go at your tasks.

How did you get on with your tasks? So first of all, I asked you to partition five cubes into two parts in different ways.

How many ways did you partition them into two parts? So I've got some examples here of how I did it.

I partitioned five into one and four.

Then I partitioned five into two and three.

Then I partitioned five into three and two.

And finally, I partitioned five into four and one.

How did you do it? Did you find any other ways? How did you get on on the second part of your task? Remember, four was the whole and you had to find the missing parts.

So for the first one we had four is the whole.

One is a part and three is a part.

Then we had four is the whole.

Two is a part and two is a part.

Finally, we had four is the whole.

And three is a part and one is a part.

Did you get all of those? Well done.

We've got to the end of our lesson.

We've been using a part-whole model to represent a whole partitioned into two parts.

This is what we found out.

A part-whole model can be used to represent a whole partitioned into two parts.

Each part will be smaller than the whole group.

The parts might look different.

The parts might look the same.

The parts can be combined to make the whole group.

Well done.

See you next time.

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