Lesson video

Hello, my name is Mrs. Behan, and for this lesson, I will be your teacher.

Up to now you will be used to using three digit numbers.

Well, in this lesson we're going to extend your knowledge of place value so that you can identify the values in four digit numbers.

Let's start by looking at the lesson agenda.

We are going to connect 1,000 other known values.

We're going to look at the thousands place.

We're going to then identify values of different digits.

And at the end of the lesson there will be an independent task for you to have a go at.

I know you'll be keen to find out how you got on so I will go through the answers with you.

There are a few things that might help you in this lesson.

You will need a pencil or a pen.

Something to write on like some paper.

And it might be useful to use something that will represent dienes.

Here in the picture you can see I've used different varieties of pasta to represent thousands, hundreds, tens, and ones.

That might be something you can use, if you've got pasta in the kitchen.

If you don't have those things to hand now, just pause the video here whilst you go and get them, and remember to try and work somewhere quiet, where you won't be disturbed for the lesson.

So let's start by asking ourselves, what is 1,000? What does the 1,000 mean to you? Have you heard this number being used before? In what context? When have you heard the number 1,000 being used? Take some time to write down some ideas, or draw some pictures, when you read their comeback and I will show you what I managed to put together.

Welcome back, I had a think about what 1,000 means to me.

And this is what I've managed to come up with.

This is my mind map of ideas.

I know that 1,000 pounds is a lot of money.

You can buy very expensive things with 1,000 pounds.

I also know that 100 multiplied by 10 is equal to 1,000.

I know this number fact here about measuring that 1,000 millilitres is equal to one litre.

I know there are 1,000 metres in one kilometre.

I also know it's a four digit number.

I know that's simple, but it's definitely something I already know.

I know that I say it 1,000, when counting in multiples of 100, when I start from zero.

And I know that 1,000 is greater than 100.

Did you have some different ideas? I'd love to see what they were.

So now let's think about the thousands digit.

Well, here is the number 1,000 and the thousands place is this first one here.

So it's the first digit of a four digit number.

Here you can see 1,000 represented in a place value chart.

How many thousands do we have, just one.

And we have all of these zeros following it.

So we have zero hundreds, zero tens and zero ones.

So when we have three zeros as placeholders, we know that the value of this first digit is thousands.

Here are some facts that you probably will already know, but it's always good to recap on them.

One kilogramme is equal to 1,000 grammes.

One kilometre is equal to 1,000 metres, and you'll notice here both of them start with kilo.

One litre is equal to 1,000 millilitres.

Those are facts that you should already know.

Let's explore now how many pennies there are in 10 pounds? Do you already know? Are there a lots of pennies in 10 pounds? Or just a few pennies in 10 pounds.

Would you like to take a guess? Well, let's have a look at it.

Here is a 10 pound note.

10 pounds is equal to 10, one pound coins.

So we now have 10, one pound coins on the screen.

The two of them have the same value.

They are equal.

10 pounds is equal to 10, one pound coins.

Ten one pound coins is equal to 100, 10 pence coins.

It has a lot of 10 pence coin, isn't it? But you could go to the shop, and you could buy something for 10 pounds and pay with 100, 10 pence coins if you wanted to.

So read these statements with me.

In 10 pounds there are 10, one pound coins.

In 10, one pound coins there are 100, 10 pence coins.

So in 100, 10 pence coins, how many one pence coins are there? Well, let's have a look.

Here we have got 100, 10 pence coins.

Now what's the value of each coin? That's right, 10 pence or 10 pennies.

So now I have stack of 10 pennies in the place of every 10 pence coin.

So now we know that there are 1,000 pennies in 10 pounds, because each one of these is now worth 10 pence, and there are a hundred of them.

So 10 pounds is equal to 1,000 pence.

Have a look at these jars of marbles.

What do you notice about them? Is there a relationship between them? How many objects are in each place? So tell me about the relationship between the places.

What can we say? Let's have a look.

I've noticed here there is just one marble on its own.

And this is at the right hand side of our screen.

In this place here, there are 10 marbles in this jar.

What's the relationship between one and 10? Well, I know that 10 is 10 times bigger than one, or 10 times greater than one.

Let's have a look at this jar here.

This jar has got 100 marbles in it.

What's the relationship between 100 marbles and 10 marbles? 100 marbles is 10 times greater than the jar that has 10 marbles in it.

How can we use this to help us work out the relationship between 1,000 marbles and 100 marbles? Well, this one, one marble to 10 was 10 times greater.

10 made 10 times greater was 100.

So 100 made 10 times greater is 1,000.

We know that when we multiply by 10, a digit moves one place to the right.

So when we make 100, 10 times greater, we end up with 1,000.

Can you tell me how many marbles there are on the screen? That's right, we have 3,000 marbles because we have three jars each with 1,000.

What about now? Did you say 3,100 marbles? If you did, you are correct, well done.

Some more jars now.

What is it, 5,000 marbles? No, 3,000 marbles, 3,000 marbles here and 200 here, so 3,200 marbles.

What about now? 3,210 marbles, and you can see the digits are changing.

So 3,210 marbles.

Do we have any single marbles on their own in the ones? No, not yet.

So we have a zero here as a placeholder.

Oh look, now we have some ones.

So what will the total be? 3,212 marbles.

Can you check this for me.

Is this correct? At first I thought there were 312 marbles.

Was I right or was I wrong? I actually made a mistake.

And the big one, because there are two thousands, two hundred, there are no jars with 10 in them.

So a zero has been used as a placeholder, and two single one marbles.

So the total is 2,202 marbles.

Can you check this one for me? I thought that there were 3,114 marbles.

Am I correct? Yes, I am correct.

There are 3,114 marbles, cause here we've got 10 and four, which is 14.

Is this correct, 4,600 marbles.

No, it is incorrect.

What's the mistake? Well, this is six ones.

And where is the ones place in a four digit number? It's always the last place, isn't it? So our was six should be here.

Where had I put six the first time? That's right in the hundreds place.

And there's a big difference between 600 marbles, and just six marbles.

So it's really important we write the digit in the correct places.

Okay, time for you to pause, and have a think about something.

What's the same and what's different? So here are the jars of marbles, and here are the dienes.

Have a little think and then come back to me when you're ready.

Okay, did you have a go? Well, what is the same? And what's different? Well, looking at something that is the same, each one of these marble jars has the same value as the dienes that are underneath.

So this marble jar is worth 1,000 marbles.

And this dienes is worth 1,000.

This is worth 100.

This diene is worth 100 and so on.

So they have the same value.

But what's different? Well, apart from the fact that they look different, we would be able to tip out all of these marbles from a jaw should we want to.

And we could count every single one individually.

We can't do that with our dienes.

We can't break them up.

So this is what we call it more abstract, is something that we have to have a better understanding of so we don't rely on counting everything individually.

We're now going to practise representing four digit numbers.

This is where your pasta piece is might come in handy.

So I've got a ball of tagliatelle here to represent 1,000.

10 spaghetti sticks to represent 100.

One single spaghetti stick to represent a 10, and one piece of twisty fusely pasta to represent ones.

So let's see how we're going to use them.

If I was to use pasta, and you might want to have a go at this yourself, if you've got some pasta pieces there.

How would I represent 1,123? Well, I need one, 1,000 because I have one, 1000 in the thousands column here, the thousands place.

I need one, 100, which is my bundle of 10 spaghetti sticks.

I need two single pieces of spaghetti to represent two tens or 20, and then three single pieces of pasta to represent my three ones.

Please don't worry if you don't have any pasta pieces to represent your numbers with.

It's okay, because I'm going to show you how you can draw dienes to represent thousands.

Take a look at this little video.

So this is how we can draw a 1,000 block to represent the digits in the thousands place.

So this is how I have represented 1,123 using drawings.

1,123, can you have a go at representing these numbers? You might need to use zero as a placeholder in some places.

Pause the video here whilst you have a go, when you're ready, come back to me, and we will look at the answers together.

Okay then, so I'm going to show you what my answers look like.

So this is how I've represented 2,100, zero tens and four ones.

If you ended up drawing some tens, perhaps you've got muddled up between the tens place, and the ones place.

But you should have two thousands, 100, and four ones, 1,046 should look like this, a 1,000, 40 and six.

There are no hundreds here.

And lastly 2,200, just four pieces here.

We have two thousands, and two 100, zero tens and zero ones.

So how do those numbers look in a place value charts? Well, it's really clear to see here, why we have the zero in this tens place.

We have two thousands, one hundred, there are zero tens, and four ones.

So when we write the number, there are two thousands, one hundreds.

There are zero tens and four ones.

Say this number 1,046.

We don't have any, that's right.

There is no hundreds in this number.

So we need the zero in the one hundreds place.

And in this digit here 2,200.

If we didn't have the two zeros as placeholders here, what would the number be? Well, it would just look like the value was 22.

So we need to have our two placeholders there to show that the value is 2,200.

Which number represents this value that I have drawn.

Can you see up here? Have a think about what means or represents.

Option one, option two, option three, or option four.

So which of the four options is the correct number that's represented by this value here? It's not option one.

It's not option two.

It's not option three.

And it is option four.

And we know that because there is one, 1,000, zero hundreds, zero tens, and eight ones.

Well done, if you chose option four.

So I purposely didn't say the numbers to you because it might have helped you work out the value.

So let's read the numbers together now.

This number says 1,080, but what does 1,080 look like in place value counters.

Now, I think it would be a really good time for you to have a go at drawing out a place value chart, like you can see down there, and joining some counters to represent 1,080.

Okay, I will show you what 1,080 looks like in the place value chart.

It's made up of one, 1000, zero hundreds, eight tens and zero ones.

Let's look at the next number.

So this number zero thousands, 100, zero tens, and eight ones.

How does that look in a place value chart? Well, it looks like this.

So this number that's represented is actually 108.

If we were recording 108 as a number, do we need this zero? No, we don't need the zero at the starts when there is an empty space.

What's the value of each digit here? This number is 8,001.

Again, you might want to draw out the place value chart, and have a go at putting some counters on it.

This actually shows us that we have eight thousands.

Remember the first digit in a four digit number represents the thousands.

So we need 8,000 at 1,000 place vale counters, no hundreds, no tens and just one one.

So this was the correct one, wasn't it? This was our option four.

1,008 we have 1,000, zero hundreds, zero tens, and one eight.

So it is very, very important that we use zeroes in the correct places, or it completely changes the value of the numbers.

So, you know everything that you need to know to have a go at the independent task.

The first four boxes have got four digit numbers in them.

I would like you to draw dienes to represent those.

On the right hand side of the screen, I'd like you to finish representing these numbers.

So you have got a four digit number, but the place value counters used are incomplete.

Your job is to draw in the extra place value counters, so that it represents the number in the corner.

Pause the video here whilst you complete your task.

Once you're ready, come back to me, and we will look at the answers together.

Okay, so let's have a look at the dienes you have used to represent these numbers.

The first one, 1,000, three hundreds, five tens and three ones.

2,332, two thousands, three hundreds, three tens, and two ones.

This third example.

One thousand, four hundred, three tens and five ones.

And our last example.

Two thousands, two hundreds, six tens and five ones.

So watch carefully as the extra counters come up on the screen and you'll be able to check that what you have drawn matches these counters on the screen.

An extra 1,000 in the first box, an extra 3,000 in the second box and four ones.

And who are missing here in the last example, one 1,000, three hundreds, two tens and five ones.

If you'd like to, please ask your parents or carer to share your work on Instagram, Facebook, or Twitter, tagging @OakNational @LauraBehan21, and hashtag LearnwithOak.

So now you understand the value of each digit in a four digit number, excellent work.

Remember to take the quiz, see you again soon, bye bye.