Lesson video

Hi there, my name is Mr. Tilstone.

I'm a teacher, and my favourite subject is definitely Math.

I can't get enough of it.

It's a real pleasure to be here with you today.

If I'm meeting you for the first time, it's nice to meet you.

If you've seen me before, it's nice to see you again.

So if you're ready, let's begin today's Math lesson.

The outcome of today's lesson is I can identify the whole and the parts that make it up.

So it's going to be quite an unusual lesson today because you're not going to be seeing that many numbers, just a couple of them.

It's more thinking about parts and wholes.

And they are the keywords.

So my turn whole, your turn.

My turn part, your turn.

Now, those are quite common words.

I'm sure you've heard them before, but let's have a little recap about what they mean in a mathematical context.

The whole is all of the parts or everything, the total amount.

So if you've got the whole of something, you've got all of something.

And a part is some, but not all of the whole.

So you might have for example, part of a chocolate bar, but not all of it.

And that bar model shows parts, and parts, and wholes.

Our lesson today is going to be split into two cycles.

The first will be identifying the whole and the parts that make it up.

And the second parts are defined in relation to their whole.

So if you're ready, let's begin by looking at identifying the whole and the parts that make it up.

In this lesson, you're going to meet Izzy and Jun.

Have you met them before? They're here today to give us a helping hand with our Math.

What can you see? What is this? What do you notice? So take some time, have a really good look at it.

What kinds of things can you see? Everything.

There's no wrong answer to this.

What do you notice? Hmm.

What Jun says, "I can see a bookcase with lots of books on it." Did you say that as well? Did you say something about a bookcase? Well done if you spotted that.

Did you say something about books? Yeah, you can see books.

We can say this.

If the bookcase is the whole, so everything.

So if the bookcase is a whole, then a book is a part of the whole.

Let's change that whole.

What could you say now? So it's not going to be a bookcase, it's going to be the whole, it's going to be something different.

This is gonna be the whole, this is gonna be the whole thing, you ready? That's the whole, okay, so that's changed.

What could you say now? Hmm.

You could say if a book is the whole, then just one page of the book is part of the whole.

So it's not all of it, it's a part of it.

So the book is the whole, the book is everything.

And a page is a part of it.

Are you getting this? Jun says, "I noticed that the book was a part" before, so I can remember when the bookcase was there, it was a part of that, but now it's a whole and the pages are part.

So the same item can be a part or a whole, depending on what the situation is.

So we've seen an example there where the book was the whole and also where the book was a part.

So let's change that whole.

We've got something else now.

So it's not about books this time.

This is what you can see something different.

Can you describe what you see in terms of parts and wholes? And you might like to have a go at that before I tell you my ideas.

So think about parts, think about wholes.

What could the whole be? What could a part be? Well, Izzy says, "I can see a vase with three flowers in." Hmm, so what could be the whole? What could be the part I wonder? If the vase of flowers is the whole, so the vase and the flowers, everything's a whole.

Then one flower is part of the whole.

And we can represent the whole and the different parts as bar models.

Let's have a look at the bar model.

So here we've got the vase of flowers.

So remember that's the whole in this situation, so that's the top bar, that's everything.

And then underneath it, on the bar underneath, we've got three flowers is one part, and the vase is a different part.

Where you combine those two parts together, you've got the whole.

A hole can be made up of more than two parts.

Let's have a look at a different bar model.

So we could say the vase and flowers is a whole like before, and we could say the blue flower is a part, the pink flowers are a different part, and the vase is a different part, but those three parts go together to make the whole.

Let's do a quick check.

Let's see how much you've understood.

Complete the sentence to describe what you can see in terms of wholes and parts.

So you're going to use those keywords, wholes and parts.

So the sentence is this, "If a flower is the whole, then a mm is a part of the whole." Now, I can think of more than one answer to that question.

So if you've got one answer, see if you can find a different one too.

Pause the video and have a go.

What did you come up with there? Did you have the chance to chat that through with a partner? Did they come up with the same thing as you? Or a different thing to you? Well, let's have a look.

You could say if a flower is the whole, then a petal is a part of the whole.

That's one possibility.

Well done if you said that.

There's other things we could say too.

We about leaf.

If a flower is the whole, then a leaf is a part of the whole.

It's not all of it, it's a part of it.

"Maybe" said Izzy, "you thought of something else?" And if you did, why don't you share it with the class? Let's look at this concept in a measures context.

So let's think about measures, okay? So have a look at what you can see there.

What do you notice? What is this? What could the whole be this time? And what could a part be? Hmm.

So what's everything here? What's the whole? And then what's a part of that? Well, if the journey from Jun's house to the school is the whole, then the journey from Jun's house to the church is part of the whole.

It's not the whole journey it's a part of it.

Let's do another quick check.

Complete the sentence, identifying a part.

So if the journey from Jun's house to the school is a whole, then the journey from the tennis courts to the mm is a part of the whole.

There is more than one answer here so let's see if you can get more than one answer.

Pause the video and have a go.

What did you come up with? Again, did you find something different to your partner? Let's have a look.

So if the journey from Jun's house to the school is the whole, then the journey from the tennis court to the church, you might have said, or you might have said to the school is a part of the whole.

It's a part of that journey.

It's not all of it.

It's a part of it.

Do you think you're getting the idea now between parts and wholes? Let's look at this concept in a different context.

So have a look.

What do you notice? What can you see? What could be the whole? What could be the part? You're going to learn a word here, or it might be the first time you've heard it anyway, for what a group of squirrels is called, hmm.

What could the whole be? What could a part be? Scurry is the word.

So if the scurry, so the group of squirrels is the whole, then the grey squirrels are part of the whole.

Do you think there's something else you could say? Could you say that differently, I wonder? If the scurry of squirrels is the whole, then the red squirrels are part of the whole.

That's quite a tongue twister.

So we can say that the grey squirrels are part of the whole, or we can say that the red squirrels are part of the whole.

Let's have a check.

Complete this sentence.

Look at these very cute penguins.

So if the group of penguins is the whole, then the grey penguins are a mm of the whole.

What's the missing word? There's only one possibility, really.

Here, let's see if you can find it.

Pause the video.

Well, it was one of our keywords for today.

If the group of penguins is the whole, the grey penguins are a part of the whole.

So the grey penguins on all of the penguins, they're part of the whole group.

I think you are ready for some practise.

What do you think? Number one, copy and complete the following sentences.

If the school day is the whole then mm is a part of the whole.

And there's lots of answers there.

Lots of possibilities.

B, if one year is the whole, then mm is a part of the whole.

Hmm, I can think of more than one answer to that too.

And C, if a pizza is a whole then mm is a part of the whole.

Hmm, yes.

I can definitely think of several different answers to that one.

Let's see what you come up with.

For each of these, identify at least two different possible parts.

I think you're probably going to get more for some of them, but at least two.

Have a go at making up some of your own examples.

So if mm is a whole, then mm is a part of the whole.

Use that stem sentence.

And number two, describe your journey to school using this stem sentence.

If my journey to school is the whole, then my journey from mm to mm is a part of the whole.

How could we fill that in? Draw a representation of the whole and parts of your journey.

You might like to make your own example of a different journey that you make.

Maybe on Saturday mornings you go to football trading, for example.

What's your journey there? Pause the video and good luck with thinking of some examples.

See you soon.

Welcome back.

How did you get on finding examples of parts.

Let's have a look.

So your might have completed the sentences like this, identifying at least two possible parts, and I bet you came up with more than two for some of these.

So if the school day is the whole, then oh, there's lots of things we could say here, isn't it? You could say a Math lesson, and English lesson, a Science lesson, any of the lessons is a part of the whole.

Or you could say if the school day is the whole, lunch is part of the whole, there's lots of things you could say may be, playtime is part of the whole, they're all parts of the school day.

B, if one year is a whole, then November, or April, or December, or January, or any of the months is a part of the whole.

You might have said something different like a week or just a word month, something like that.

Lots of possible answers to that.

And see if a pizza is a whole, then, for example, pepperoni is a part of the whole.

Cheese is a part of the whole.

There's all sorts of different things you could say here, isn't there? What about a slice is part of the whole, for example.

And then all the different toppings you can think of.

Let's say it's got chicken on it, then chicken is part of the whole.

So lots and lots of possibilities.

And you might have made up some of your own examples like this.

So you might have thought of a picnic, for example.

If a picnic is the whole, then a sandwich, for one example, is part of the whole.

If apple pie is the whole, then pastry is part of the whole, these are making me hungry.

And if one day is the whole, then midday, for example, is a part of the whole.

Or you could have said one hour.

Lots and lots and lots of ways you could answer that.

And you might have described your journey to school like this.

If my journey to school is the whole, then my journey from my house to the bus stop, for example, is part of the whole.

And you might have drawn a representation of the wholes and parts of your journey like this.

That's the whole, that's the whole journey.

Then in there you can see part of the journey, that journey from the house to the bus stop.

And you might have made up some of your own examples of different journeys, like your journey from home to your football training ground.

So in that case, if my journey to my football training ground as a whole, then my journey from my house to the park is part of the whole.

You're doing really, really well.

And I think you are ready for the next cycle, which is parts are defined in relation to the whole.

So by now, I think you're getting really familiar with those keywords, parts and wholes.

Let's see if we can apply that to some new situations.

Have a look at this.

What can you say about the parts? So have a really good look.

See what you can notice.

What parts could there be? What could you see? Jun says, "To answer this, first I need to know what the whole is." That's true.

The whole could be different things there, couldn't it? What do you think it could be? He says, "If the bed is the whole," which it could be, "Then the pillow is one part of the whole." Yeah, that's true.

And the duvet is a different part of the whole is right.

So the bed could be the whole.

Or could be a different whole, couldn't it? "If the wardrobe is the whole, then the handles, for example, are part of the whole." One part of the whole.

You could say the door of the wardrobe is part of the whole.

So that's a different whole that's been established there.

And then Izzy's thinking about the whole bedroom as the whole.

So if the bedroom is the whole, then the wardrobe and the bed are actually parts of the whole.

So it all depends on what our whole is.

She says, "If the bed is the whole, then the wardrobe is not a part of the whole." No, that's true.

The wardrobe isn't part of the bed, is it? So that wouldn't be true to say that.

So we must define the whole so that we can then define the parts of the whole.

So you can decide on what the whole is and then we can decide what the parts are.

Does that make sense? Yeah.

"The parts will be different depending on what the whole is." And we just saw some examples of that.

So let's revisit an example that we've already looked at.

So this is a squirrels.

So if the scurry of squirrels is the whole, then the grey squirrels are a part of the whole.

We said that before, didn't we? And what else could we say? Can you remember? Can you think? If the scurry of squirrels is the whole, then the red squirrels are a part of the whole.

And we've said that before.

And we can represent that as a bar model.

So there we go, so we've got the scurry of squirrels, that's the whole, that's on top of the bar model.

And then the red squirrels are a part.

That's a smaller part than the scurry of squirrels And the grey squirrels are a different part.

So the top of this bar model is showing the whole and the bottom of the bar model is showing the parts.

What do you notice? Well, there are two parts.

Did you notice that? One part was red squirrels, one part grey squirrels.

Did you notice that the parts are smaller than the whole? That makes sense, isn't it? Let's look at a new example.

What do you notice? What could the whole be? What could the parts be? Hmm? Izzy says, "If the slide is the whole, then the playground is part of the whole." Hmm.

What do you think? Does that make sense? Is Izzy correct there? That didn't sound right to me.

Did it sound right to you? It didn't sound right to Jun either.

He says, "I respectfully challenge you." What a polite young man.

I respectfully challenge you.

A nice way to say I disagree.

Can you explain why Jun is challenging Izzy? What is she not right about there? Could you correct her? Jun says, "A part is always smaller than the whole.

It should be, if the playground is the whole, then the slide is a part of the whole." Now that makes more sense, doesn't it? Because the slide is smaller than the playground.

The playground is not smaller than the slide.

So Jun's got it the right way round.

Jun says, "I think we need two parts to make the whole.

I will include the sand." So he's thinking about the playground as a whole and two parts.

So the playground's a whole, that's the top of the bar model, and the slide is a part and the sand is apart.

Are there always two parts for every whole? Hmm? What do you think? Think about some earlier examples like the pizza.

Are there always just two parts to a pizza? Hmm? What about a different example? Like your bed? Are there always just two parts to your bed? Or are there sometimes more? Hmm.

And Izzy says, "Sometimes it's two parts.

In this image, she sees it differently.

I can see more than two parts that make the whole playground." Can you see any more parts? "I could say the slide, the swings, the sand, the bushes, they're all parts of the whole playground." So in fact, if you look carefully, you can see more than two parts.

Let's have a check.

Complete the sentence to describe the relative size of the part.

So back to these lovely penguins.

So if the group of penguins is the whole, then the grey penguins are a part of the whole.

Agreed? The part is mm than the whole.

What's the missing word there? And there are mm parts.

Hmm, think very, very carefully.

Pause the video and have a go.

Let's have some answers.

So if the group of penguins is the whole, the grey penguins are part of the whole.

Yes, true.

The part is what? What did you say? Smaller than the whole.

And in this case there are two parts.

So well done if you didn't say five parts, there's two different parts.

There's the white penguins and there's a grey penguins.

We can see that on the bar model.

It is time for some more practise.

Number one, complete your own table of parts and wholes by completing the gaps in the table.

You should choose two or three parts.

Describe what you notice about the size of the whole or parts.

So maybe sometimes two, maybe sometimes three.

So we've got house, that's the whole.

What could some parts be? So many possibilities.

There's the car, that's the whole.

What could some parts be? Two or three parts please.

And the sandwich.

If that's the whole, what could some parts be? Number two, look at the picture.

Define your whole and then state at least two parts of this whole using the stem sentence.

Repeat for a different whole.

Now, I'm looking at that picture and there's lots of different things that I could say are the whole, so choose one of them and then use the stem sentence.

If the mm is the whole then the mm are parts of the whole.

So if you pick one and then think about what parts make up that whole.

Best of luck with that and I'll see you soon for some feedback.

Welcome back.

How did you get on looking at parts and wholes there? Let's have a look.

Now, there are so many possibilities here.

Hundreds really, so this is just some of them.

You might complete to the table like this.

If the house is a whole, the window's are part, the door is a part, the roof is a part.

You might have had something different.

If the car is a whole, the wheel is a part, the window is a part, the mirror is a part.

Just to name three examples.

And if the sandwich is the whole, the bread is a part, the lettuce is a different part.

And again, there's lots of other things you could say.

You might have noticed that the parts are always smaller than the whole and that there are always two or more parts.

And number two, you might have identified the sea as your whole.

That's one of many possible examples of what the whole could be and completed a stem sentence like this.

If the sea is the whole, then the fish is a part of the whole.

The water is a part of the whole, that's one example.

But about if you pick the boat as a whole, if the boat is the whole, then the portholes is a part of the whole.

The deck is a part of the whole.

Lots of different possible answers there.

If you know your boats.

And we've come to the end of the lesson.

I've had really great fun there and I hope you have too.

Today's lesson has been securing, identifying the whole and the parts that make it up.

So hopefully now you are really, really confident with those two keywords, whole and parts.

They come up so much infractions.

So an item can be a whole or a part depending on the situation.

The stem sentence, if the mm is the whole, then the mm are a part of the whole, supports us to identify the whole and the parts that make it up.

A part is always smaller than the whole.

So let's see if you can think of one final example using that stem sentence.

If the mm is the whole, then the mm are a part of the whole.

I'm going to give you one, let's see.

Okay, what about if the fridge is the whole, then the cheese and the fruit are parts of the whole.

Do you think you could do one more? Have a go at that after the lesson.

It's been a great pleasure working with you today.

I hope I get to spend another Math lesson with you in the near future.

But until then, enjoy the rest of your day.

Whatever you've got in store.

Take care and goodbye.