Lesson video

Hello, my name's Mrs. Hopper, and I'm really looking forward to working with you in this lesson.

The lesson comes from our unit on multiples of 1,000.

So we're gonna be looking at those bigger numbers.

How are they put together, how are they composed, where do we find them in real life, and how can we learn about them so that we can work with them when we're solving problems. So if you're ready to make a start, let's get going.

So in this lesson, we're going to explain how 100,000 can be composed.

100,000, I wonder if you can think about the scale of that.

We've got two keywords in our lesson.

We've got multiple and equivalent.

So I'll take my turn and then it'll be your turn.

My turn, multiple, your turn.

My turn, equivalent, your turn.

They might be words that are familiar to you, but they're going to be useful in our lesson.

So let's just check we know what they mean.

A multiple is the result of multiplying a number by another whole number.

And two expressions are equivalent if they have the same value.

So let's get into our lesson.

We've got two parts to our lesson today.

We've got building 100,000.

And in the second part, we're going to be thinking about 100,000 in everyday life.

Where do you come across that number in your everyday life? So let's make a start.

And we've got Izzy and Laura helping us with our learning today.

Professional athletes earn money through sponsorship deals.

You might have seen your favourite sports people advertising things, and that's how they earn some of their money.

But Izzy says, "They can earn lots of money this way." Let's imagine they earned 10,000 pounds a month from it.

Should we count up in multiples of 10,000? Are you ready? One, ten thousand, two, ten thousands, three, ten thousands, Four, ten thousands, five, ten thousands, six, ten thousands, seven, ten thousands, eight, ten thousands, nine, ten thousands, 10, ten thousands.

What's 10 ten thousands worth? So if we use our 10 frame, we can clearly see that we have 10 lots of 10,000.

Should we count in ten thousands this time? Are you ready? 10,000, 20,000, 30,000, 40,000, 50,000, 60,000.

70,000, 80,000, 90,000, 100,000.

And when we counted this up, we had 100,000.

So we can say that 10 ten thousands are equivalent to 100,000.

10,000, 20,000, 30,000, 40,000, 50,000, 60,000, 70,000, 80,000, 90,000, 100,000.

So Laura's right.

10 ten thousands are equivalent to 100,000.

We can also represent this equivalence using a bar model.

So here's our bar model, with our whole is 100,000 and 10 equal parts of 10,000 underneath.

So just to check your understanding, there are hm ten thousands in 100,000? Pause the video and then we'll come back and discuss the answer.

How did you get on? We've just been looking at it, haven't we? There are 10 ten thousands in 100,000.

10 ten thousands are equivalent to 100,000.

Each 10,000 is composed of 10 thoudsands.

There's a clue in the name to the number there, isn't there? 10,000 is 10 one thousands.

So we can represent those with some extra bars underneath.

So each one of these smaller bars has a value of 1,000.

There's our 1,000.

So we've got 10 lots of 1,000 equal to 10,000.

So how many thousands would be equivalent to 100,000 then? Is there another clue in the name there? Let's check.

So let's count them up.

We've got 10 one thousands.

Let's count them up.

10, one thousands, 20, one thousands, 30, one thousands, 40, one thousands, 50, one thousands, 60, one thousands, 70, one thousands, 80, one thousands, 90, one thousands, 100, one thousands.

100 one thousands are equivalent to 100,000.

And again, there's a clue there in the way we say the number.

Ooh, now, we've taken our thousands and we've divided each one up into 10.

So we've now got 100 hundreds.

So 100 hundreds is equal to ten thousands, which is equal to 10,000.

Each one of these now represents 100.

That tiny little square there represents 100.

Let's count in lots of 100 hundreds this time.

So we've got one hundred hundreds, two hundred hundreds, three hundred hundreds, four hundred hundreds, five hundred hundreds, six hundred hundreds, seven hundred hundreds, eight hundred hundreds, nine hundred hundreds, 10 hundred hundreds.

What's 10 one hundreds? It's 1,000, isn't it? 1,000 hundreds are equivalent to 100,000.

Oh, there's a clue there in the language.

1,000 hundreds are equivalent to 100,000.

What do you notice here about what we've done with these bars? Laura says, "Each bar is being divided into 10 parts below it." So 100,000 divided by 10 is equal to 10,000.

10,000 divided by 10 is equal to 1,000.

And 1,000 divided by 10 is equal to 100.

Izzy says, "Or each part is being multiplied by 10 to create the bar above it." 100 multiplied by 10 is 1,000.

1,000 multiplied by 10 is 10,000.

And 10,000 multiplied by 10 is 100,000.

So each time one part of our bar is being made, either 10 times smaller, if we go down, or 10 times bigger if we go up from our grid of 100 hundreds.

Let's have a look in the place value chart.

Izzy says, "I've noticed something." She says, "If you underline the numbers up to the unit you want, you can find out how many of that unit the number is composed of." So we could count in ones, in tens, in hundreds, in thousands, or in ten thousands.

We can count in any of those.

Those would be our unit of count.

So let's just look at what Izzy says again.

"If you underline the numbers up to the unit you want, you can find out how many of that unit the number is composed of." Let's give that a go.

So if we want to count in ten thousands, we know that there are 10 ten thousands in 100,000.

Our number still represents 100,000, but there are 10 ten thousands.

If we count in thousands, there are 100 thousands in 100,000.

There are 1,000 hundreds in 100,000.

How many tens do you think 100,000 is composed of? Think about the line.

So if we read that number up to our tens, we've got 10,000 tens in 100,000.

And we know that 100,000 represents 100,000 ones because then we're reading to the ones column.

Those are our units.

So time to check your understanding.

Can you match the missing words to the correct sentence? Pause the video, have a go, and we'll come back and discuss your answers.

How did you get on? How many tens are there in 100,000? Do you remember, we just looked at that.

There are 10,000 tens in 100,000.

How many hundreds are there in 100,000? That's right.

There are 1,000 hundreds in 100,000.

There are 100 thousands in 100,000, and there are 10, ten thousands in 100,000.

Well done if you've got those right.

Time to do some practise.

You might want to use the place value chart that we were looking at, or maybe even think about the bar model to help you with this.

Can you fill in the missing numbers in the sentences? And can you fill in the missing numbers in those equations? Pause the video, have a go, and we'll get back for some feedback.

How did you get on? So there are 10 ten thousands in 100,000.

There are 100 thousands in 100,000.

Can you see how close the language is there? We can really see from the language how the number is composed.

100 thousands are 100,000.

So what about hundreds then? There are 1,000 hundreds in 100,000.

Can you see? We've sort of swapped the language around.

In 100,000, there are 1,000 hundreds.

And what about the tens? There were lots of tens, weren't they? Do you remember the place value chart? There are 10,000 tens in 100,000.

Thought about the missing values in our equations here.

Here, we needed to think about that bar model and how it was divided up.

So 10 times 10,000 is equal to 100,000.

100 times 1,000 is equal to 100,000.

1,000 times 100 is equal to 100,000.

10,000 times 10 is equal to 100,000.

And 100,000 times one is equal to 100,000.

What about those related divisions? Can we use the multiplications to help us? If 10 times 10,000 is equal to 100,000, then 100,000 divided by 10,000 must be equal to 10.

100,000 divided by 1,000 must be equal to 100.

100,000 divided by 100 must be equal to 1,000.

100,000 divided by 10 must be equal to 10,000 and 100,000 divided by 1 must be equal to 100,000.

Well done if you've got those correct.

Let's move into the second part of our lesson.

We're going to look at 100,000 in everyday life.

So what examples of 100,000 have you seen in everyday life? Izzy says, "I've just finished reading 'Harry Potter and the Prisoner of Azkaban.

'" And Laura says, "That's quite a big book." It's a good one though.

Have you read it? Izzy says, "Did you know that it has about 100,00 words in it all together?" That's a lot of words, isn't it? But they go together to make a jolly good story.

Ah, what can we see here? Barcelona are a football team that play in Spain.

"Yes," Says Laura, "their stadium is called Nou Camp." And Izzy says, "They can fit just about 100,000 people into their stadium to watch a match." That's an incredibly big number of people, isn't it? Mind you, it is a big stadium.

Ooh, says Laura, "It can't be that easy to see if you're sat at the back." She said, "I wouldn't wanna seat right up at the back." The footballers would look very small.

I expect they have a big screen you can watch it on as well, don't they? Have you ever been to a really big football stadium? I expect the atmosphere is really exciting and probably very noisy.

We've got a map of the world here.

I wonder what we're going to think about here.

Laura says, "My Nan lives in Exeter.

The population of Exeter is just over 100,000 people." Have you been to Exeter? Exeter's a city in Devon, down in the southwest of England.

And Izzy says, "That's interesting because my Nan lives in Tonga.

And they have about 100,000 people living on their island." So the whole island of Tonga has about the same number of people living there as they have in the city of Exeter in Devon.

And there's Tonga.

It's an island country near Australia.

Laura says, "My other Nan lives in Manchester.

And did you know that the area of Manchester is about 100,000 square kilometres?" And there's Manchester.

Manchester's a city in the northwest of England.

Izzy says, "That's bigger than San Marino." Where San Marino then, Izzy? The area of San Marino is about 60,000 square kilometres.

And San Marino is a tiny little country near Italy.

Isn't it amazing how different places in the world can have some of the same sort of statistics, but be very, very different? Oh, we're gonna think about a calendar now.

So Izzy asks, "How many years is 100,000 days?" Wow.

Laura says, "If we divide 100,000 by 365, we can find out." I know there are 366 days in a leap year, but we're going to give an estimate here.

Gosh, I'm not sure I can do 100,000 divided by 365 in my head.

Laura says, "Let's use a calculator." Good idea, Laura.

And they've rounded their answer.

It's about 274 years.

That's amazing.

So can you think about what might have been happening in the world 274 years ago, or 100,000 days ago? Amazing to think.

So Izzy says, "What about 100,000 seconds? How many hours is that?" What do you reckon? Let's see what Laura suggests.

Laura says, "We need to do 100,000 divided by 3,600, as that is how many seconds there are in an hour." So 60 seconds in a minute, and 60 minutes in an hour.

So 60 multiplied by 60 is 3,600.

Oh, Laura, I hope you've got your calculator ready.

Oh, thank goodness.

She says, "Let's use a calculator again." So 100,000 divided by 3,600.

Izzy says, "It's nearly 28 hours, which is longer than one day." So 100,000 seconds is longer than a day.

Can you imagine that if you were counting seconds? It doesn't seem that they go that slowly, does it, but it would take you more than a day if you counted all the way up to 100,000.

Time to check your understanding.

Can you tick the examples that are likely to be greater than 100,000? So you've got some options there.

Have a look at them, pause the video, and think which ones are likely to be greater than 100,000.

What did you think? We thought that these ones are likely to be greater than 100,000.

The number of grains of sand in a sandpit.

That would be a lot of grains of sand, wouldn't it? If you filled a bathtub up with jelly beans, there'd be more than 100,000 of them.

Gosh, I wouldn't want to have to eat all of those.

I think I might feel a bit ill.

Hours in a year would be under 100,000.

And you could check that using a calculator.

And the number of pupils in all U.

K.

schools is greater than 100,000.

Did you realise that you are one of more than 100,000 people who's in school in Great Britain at the moment? Time for you to do some practise now.

You are going to group the amounts by estimating what you think is more than, less than, or equal to 100,000.

And you've got some different things there to think about.

You might want to add some more of your own as well.

Pause the video, have a go, and we'll come back and discuss your thinking.

How did you get on? Well, there are more than 100,000 red blood cells in the human body.

You might know that from your science work.

You might have gone and looked it up perhaps and researched it, but there are more than 100,000 red blood cells in the human body.

But you don't take as many as 100,000 breaths in a day.

So that's less than 100,000, the number of breaths you take in a day.

The number of veins in the human body, that's less than 100,000 as well.

But the number of times your heartbeats in one day is about 100,000.

It's roughly equal to 100,000.

That's incredible, isn't it? If you can feel your pulse somewhere, maybe on your wrist, or put your hand over your chest to feel your heartbeat, and imagine, if you did that for the whole day, you'd hear it or feel it beat 100,000 times.

Isn't that amazing? And the number of hairs on a human head.

Not all human heads, but most human heads have around 100,000 hairs on them.

Isn't that incredible as well? It would take a long time to try and count them though, wouldn't it? And Izzy says, "Can you think of some examples to add to each group?" I hope you'll have some fun doing that.

And we come to the end of our lesson.

We've been explaining how 100,000 can be composed.

So what have we learned about? We've learned that 10 ten thousands are equivalent to 100,000.

We've learned that one hundred thousands are equivalent to 100,000.

We've learned that one thousand hundreds are equivalent to 100,000.

10,000 tens are equivalent to 100,000.

100,000 can also be big or small.

It depends on the unit you are counting in.

We've had some interesting thoughts around the language of our numbers and how that can help us to think about how these numbers are composed as well.

I hope you've enjoyed exploring the number 100,000.

Thank you for all your hard work and your thinking, and I hope I get to work with you again soon.

Bye-bye.