Lesson video

Hello.

Hi, Mrs. Cayley.

I'm going to help you with your learning today.

Today we're going to be learning how to partition numbers, one to five, in different ways.

So let's have a look at today's lesson outcome.

Here's the outcome of today's lesson.

I can partition the numbers one to five in different ways.

Here are the key words for today's lesson, you might have seen some of these before.

Can you repeat them after me.

My turn, whole.

Your turn.

My turn, part.

Your turn.

My turn, partition.

Your turn.

My turn, part-whole model.

Your turn.

So you might have seen whole and part before.

So whole means a whole object.

It means all of it is there.

It's complete.

Part is a piece or a section of an object or a set of objects.

So it is not all there.

Some are missing.

Then we've got partition.

This means to split a whole into parts and then we've got part-whole model.

This is a representation, a way of showing that the whole has been split into parts.

Here's the outline of today's lesson.

So we're going to partition numbers one to five in different ways, and I'm start off by partitioning numbers in different ways, and then we'll use a par-whole model to record our ideas.

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 have Izzy and Jacob.

Let's start on the learning.

What do you notice here? Have a look at the picture of the flowers.

What did you notice about the flowers? Jacob said "There are five flowers." Do you agree? Izzy said, "Three are yellow and two are purple." So the flowers have been split into two parts.

Yellow flowers and purple flowers.

And we can call this partitioning.

We can show this as a part-whole model.

Can you see the five whole flowers at the top of the part-whole model? Then we've got the three and the two.

That's the parts.

Jacob said, "The five represents the whole." Izzy said, "The three and the two represent the parts." The parts together make the whole.

Five can be partitioned into three and two.

I wonder if it can be done a different way? What do you notice now? That's right.

There are still five flowers in the whole.

Jacob said "There are five flowers." Izzy has noticed that four are yellow and one is purple.

So five has been partitioned in a different way.

We can show this as a part-whole model.

So you can see the five whole flowers at the top of the part-whole model, and we've got four and one as the two parts.

Jacob said, "The five represents the whole." Izzy said, "The four and the one represent the parts." Five can be partitioned into four and one.

What do you notice now? Have a look at the flowers this time.

Are there still five flowers in the whole? Yes.

Jacob said, "There are five flowers." Izzy said, "Five are yellow and none are purple." So zero flowers are purple.

We can show this on a part-whole model as well.

So now we've got the five flowers in the whole and we've got five as one of the parts and zero as one of the parts.

Jacob said, "The five represents the whole." Izzy said, "The five and the zero represent the parts." Five can be partitioned into five and zero.

Let's see if we can do it a different way.

What do you notice now? Have a look at the flowers this time.

So Jacob has noticed that there are five flowers still.

So the whole is still five.

How have they been split into parts? Izzy said, "Three are yellow, one is red and one is purple." So we haven't got two parts anymore.

We've got more than two parts.

We've got three parts in our part-whole model.

So we can show this on a part-whole model.

We've still got five as the whole, but it's been partitioned into three parts.

We've got three yellow flowers, one red flower, and one purple flower.

Jacob said "The five represents the whole." Izzy said, "The three one and one represent the parts." So five can be partitioned into three and one and one.

Let's see if we can do it different way.

What do you notice now? Have a look at the flowers this time.

Jacob has noticed that there are still five flowers in the whole.

Do you agree? Izzy has noticed that two are yellow, two are purple, and one is red.

So we've partitioned five into three parts.

How many parts will the part-whole model have now? Izzy said, "Again, I think it will have three parts like last time." Here's the part-whole model, and she's right.

There are three parts.

We can show this as a part-whole model.

So we've got five as the whole and the parts are two, one and two.

Jacob said "The five represents the whole." Izzy said "The two, two and one represent the parts." Five can be partitioned into two, two and one.

What do you notice now? Have a look at the flowers this time.

Still five flowers in the whole.

Yes, Jacob said "There are five flowers." Izzy said "Two are yellow, one is purple, one is green and one is red." So five has been partitioned in a different way.

How many parts will the part-whole model have now? Izzy said "This time I think it will have four parts." Have we got four different colours? Yes, there will be four parts in the part-whole model.

We can show this as a part-whole model.

So we've got five flowers as the whole and the parts are two, one, one and one.

So we've got two yellow flowers, one red, one green, and one blue flower.

Jacob said "The five represents the whole." Izzy said "The two, one, one and one represent the parts." So five can be partitioned into two and one and one and one.

What do you notice now.

Have a look at the flowers this time.

Are there still five flowers in the whole? Yes, Jacob said, "There are five flowers." Izzy has noticed that all of the flowers are different colours this time.

One is yellow, one is purple, one is green, one is pink and one is red.

Each flower is a different colour.

So I wonder how many parts we'll have in our part-whole model.

Izzy said, "Yes, five can be partitioned into five parts." We can show this as a part-whole model.

So we've got our five as the whole and we've got our ones as the parts.

The five represents the whole, the one, one, one, one and one represent the parts.

Five can be partitioned into five ones.

We've got one and one and one and one and one.

So there are five parts in this part-whole model.

Let's check your understanding, match the images to the correct part-whole models.

So we've got three pots with flowers in and we've got three part-whole models.

Match the images to the correct part-whole model.

So pause the video and think about which ones match up.

How did you get on with this one? So the first picture has got three flowers.

So the whole is going to be three and we've got three different colours.

Purple, red, and yellow.

So we need three parts.

So that's going to match up to the last part-whole model there.

Look at the picture in the middle.

How many flowers have we got in the whole? We've got four flowers, haven't we? And we've got two yellow and two purple.

So it's going to match up with the first part-whole model.

The last picture has got three flowers in the whole.

Two of them are yellow and one of them is purple.

So it's going to match up with the middle part-whole model.

Is that what you thought? Here's a task for you to have a go at.

How many different ways can you colour four flowers? So see if you can choose two or more colours to colour the flowers in different ways.

See if you can split it into parts.

You could draw your own flowers or you could use the ones on the sheet.

When you've coloured the flowers, can you represent your ways as part-whole models? You could draw your own or you could use the ones on the sheet.

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

How did you get on with your task? Did you colour the flowers in different ways? This is how I've done it.

I used yellow and purple for my first one.

I had three yellow flowers and one purple flower.

Then I chose yellow and purple.

I had two yellow and two purple.

Then I chose three colours.

I had two yellow flowers, one purple flower and one red flower.

Then I chose four different colours.

I had one yellow flower, one purple flower, one green flower, and one red flower.

So I partitioned it into four parts there.

Then I represented my ways as part-whole models.

Can you see what I've done? I've got four as the whole each time and I have partitioned into three and one, two and two, two, one and one, and one, one, one and one.

So I partitioned into two parts, three parts and four parts.

How did you get on? Let's move on to the second part of the lesson.

We'll be using a part-whole model to record ideas.

Here we've got some conkers.

Izzy has four conkers.

How many could be put in each hand? You could try this with some conkers or or another object.

How many could be in each hand? Izzy wants to know how many ways can it be done? So this is one way of doing it.

You might have four conkers in one hand and zero in the other.

So all of your objects are in one hand and zero in the other.

This is how we represent it on a part-whole model.

Four is the whole, four is a part and zero is part.

Here's a different way of doing it.

You might have three conkers in one hand and one conker in the other hand, and this is how we represent it on a part-whole model four is the whole three is a part and one is part.

We could do it like this.

We could have two conkers in one hand and two conkers in the other hand.

And this is how we represent it on a part-whole model.

Four is the whole, two is a part and two is a part.

Here's a different way of doing it.

You could have one conker in one hand and three conkers in the other.

And this is how we represent it on a part-whole model.

Four is the whole, one is a part and three is a part.

Can you think of any other ways to do it? We could have zero in the first hand and four in the other hand.

So we've got four as the whole, zero is a part and four is apart.

Izzy found five ways to split the conkers and she's represented them as part-whole models.

Are there any other ways? So we had four as the whole each time and we partitioned it into four and zero, one and three, three and one, zero and four and two and two.

Izzy thinks some of these ways look similar.

Which ones look similar? So some of them have the same parts, but they've been swap round, haven't they? So four and zero is quite similar to zero and four.

One and three is similar to three and one.

Izzy found these ways to partition four.

Are they the same or different? We've got four as the whole both times and we've got three and one as the parts.

Izzy said "They show the same pair that makes four.

So three and one or one and three.

It's the same pair.

And together they make four.

What does each four represent? They represent four whole conkers.

What does the three represent? Three conkers in one part.

What does each one represent? One conker in one part.

Izzy found three pairs that make four.

So when you think about the ones that swapped over, she hasn't included the other way round.

She's just shown one way of doing it.

So four can be partitioned into four and zero, which could also be zero and four or four can be partitioned into one and three, which could also be three and one, or four can be partitioned into two and two.

And when you swap that round, it's still two and two.

So Izzy said, "Each time the parts can be swapped round." So we've got four and zero or zero and four, one and three or three and one, two and two or two and two.

Still the same.

Let's check your understanding.

Izzy has made some mistakes when recording her part-whole models.

Can you help her to spot the mistakes? Look carefully at the part-whole models and see where she's gone wrong.

Pause the video and have a think.

Did you spot the mistakes that Izzy made? So we've got the first part-whole model.

She's got one as the whole and four and three as the parts.

Hmm, I think the whole needs to be the biggest number here, doesn't it? The second part-whole model.

She's got zero as the whole and four and four as the parts.

Again, she needs a bigger number for the whole, doesn't she? And the last one, she's got two as the whole and four and two as the parts.

Izzy said, "I've got the whole and a part muddled." So the first one should be four is the whole and one is the part and three is the part.

The second one, four should be the whole and four is a part and zero is a part.

And the last one, four should be the whole and two is a part and two is a part.

So four is the whole each time, one is a part and three is a part, or four is a part and zero is a part, or two is a part and two is a part.

Is that what you thought? Here's a task for you to have a go at.

We've got a ladybird without any spots.

There are a total of five spots on the ladybird.

Find different ways to partition the spots between the two sides.

So I've drawn five spots at the side.

Can you draw them on the ladybird on the two sides? So you can have some on one side and some on the other.

See how many different ways there are to do it.

You could draw your own ladybirds or you could use the ones on the sheet.

And when you've drawn the spots on the two sides of the ladybird, can you represent your ideas as part-whole models? You could draw your own or you could use the ones on the sheet.

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

How did you get on with your task? I partitioned the five spots in different ways on the two sides of the ladybird.

So on my first ladybird I had five spots and zero spots.

Then I had four spots and one spot.

Then I had three spots and two spots.

Then I swapped it round and had two spots and three spots.

Then I had one spot and four spots, and finally I had zero spots and five spots.

How did you get on? Did you represent your ways as a part-whole model? So here we've got five as the whole each time and we have partitioned into two parts.

We've got five and zero and then later on we've got zero and five, then we've got four and one, and later on we've got one and four, and then we've got three and two.

And later on we've got two and three.

So I found six different ways to do it.

Izzy said, "Were there more ways to partition five than four? Do you remember we did four ways earlier when we did the flowers? Were there more ways to partition five? Jacob said "Yes, there were more ways to partition five." Izzy noticed that there are three pairs of numbers that make five.

So we've always got five as the whole, but the parts could be five and zero and they could be swapped round or the parts could be four and one and they could be swapped round, or the parts could be three and two and they could be swapped round.

Izzy said, "These pairs of numbers make five." Well done everyone, we've got to the end of our lesson.

We've been partitioning the numbers one to five in different ways, and this is what we've learnt.

Objects can be partitioned into two or more parts.

Each of the numbers from one to five can be partitioned in different ways.

A part-whole model can be used to show or represent the different ways.

Well done everyone, see you next time.