Lesson video

Hi, my name is Mrs Harris and am with you for your maths lesson.

We are going to be looking at reading and writing seven digit numbers.

Here is what we will do in this lesson.

First of all we will look at how big is a million.

Then we will do some work on place value followed by reading and writing seven digit numbers and then you will have your independent task to show me everything you've learnt.

These are the things you're going to need.

You will need a pencil, maybe a rubber, a ruler is always handy and some paper or a book.

If haven't got them pause the video go and find them and then come back to me.

Brilliant we are ready let's go on with our lesson.

So first of all we need to think how big is a million.

Think about a football stadium.

They hold a lot of people, but not a million people.

The city of Birmingham has just over a million in its population.

A million is a really, really big number and if you wanted to count up to a million, you'd be counting in ones for about 23 years, Obviously my age.

Now we can get some idea of how big a million is, we're using place value charts.

Let's look at the column just underneath me.

The ones,10 is 10 times greater than one 100 is 10 times greater than a 10, 1000 is 10 times greater than a 100.

10,000 , 10 times greater than 1000 and 100,000 is greater, 10 times greater than 10,000.

So what's going to come in our next two columns? How do you know? Well, our next two columns are made up of millions and 10 millions each time, the column and the place value track chart is 10 times greater than the column before it.

I've put some Dienes in our um place value chart and I've got some Dienes here.

Here are some ones.

You may have seen them before.

You may have different colour ones.

So I've got some ones and I've got some tens just think, 10 of these make up one of this.

So we've got a one and a 10.

From the 10 If we had 10 of them, we would have 100.

Okay.

After the hundreds if we had 100 of these, no sorry, 10 of these, we would have 1000 block.

Just think, what would a Dienes block the 10,000 look like? Haven't got one of them here.

It would be very, very big.

It would be 10 of these all put together.

What would it look like for 100,000? Or for a million, or even 10 million? Can you imagine if we were in class and I asked you to find a million of these and put them together, I think we'd need a very, very big space.

If we look at the one again, we definitely wouldn't want to make a million of these put together and we look at the thousand, we get quite a good idea of the relative size of how much greater 1000 is and a one then we can start thinking about how much greater a million is.

I think it's going to be huge and this will help you visualise, how much space the Dienes million block would take up.

We're going to move on now to let a place value within a million and really? Why would we want to avoid using Dienes to make such large numbers.

I think it's because we just need too many of them.

We haven't got the space, we haven't got the time and I think it'd be really easy to get them all muddled up, or to lose count.

So Dienes are not very useful, when we're using such large numbers as we're looking at today.

So what other representation could we use? Instead of the Dienes, I would opt for place value chart in this situation.

I can use counters like these ones.

Mine have values on them but they don't need to.

We know that when we use a place value chart, if we've got counters in that column, we represent how many of that sort of number we have.

As you can see, I've got one, 1000 and three hundreds in my number, I've got one, 1 million and 300 thousands in my number and I'll pop the numbers underneath now.

That is the title of the counters in each column.

And we're going to learn now how to read and write those numbers.

Here's our number again, the digits are all spread out, we wouldn't have them that far apart on the page, it'd look like they were separate numbers.

So we can put them all together but this still isn't very easy to read.

We could add a comma in between the numbers.

It breaks it apart a bit doesn't it? Makes it a little bit easier to see each chunk or I can even leave a space.

Let's look at why I've done that.

We'll go to real life context.

Why we would do that because I know I said million numbers are really huge but there are still reasons to use them and this tells us the diameter of the sun in kilometres.

we group them from the right to the left.

So, the first group is 400.

The second group is the thousands group, and we would say 391,000 and the first group is the million.

So this number, we then read from left to right, is 1,391,400.

Let me say it again.

This number or up into a sentence, the diameter of the Sun is 1,391,400 kilometres.

That's big.

Let's practise reading these numbers now.

I have put the spaces in or put the commas in because it does help us read them.

So, let's get together.

We've got 1,543,290 All right.

The next one 1,345,308 have a go on the next one.

Did you get 1,179,098? There's no hundreds in that one.

Have a go at this one 1,099,452 right reading of numbers, I think you're starting to get the hang of it.

So, here is another number but did you see I've covered up some of the digit and I've replaced them with zeros.

Obviously, that makes the number less.

But I feel it's a bit trickier to read now because we don't have to say any of the thousand numbers.

And in fact, the first four digits, they look like 1000.

So we have to use place value to remember that this is a millions number and the zeros are placeholders in the hundred thousands, the thousands, the sorry, the 10 thousands and the thousands column and this means that after the millions, the first digit we read aloud is the hundred.

So the number is 1,000,567.

We didn't have to say any of the thousands did we? We couldn't forget about the hundreds.

So let's read these numbers.

These will have lots of zeros in, we've got 1,000,067 [Groans] 1,200,567 Well done 1,034,007 1,004,567 you see, a lot of them are made up of the same digit.

I've just moved, where I've put the zeros.

If you want more practise of reading numbers, especially with the zeros in, write yourself a seven digit number and add some zeros, some zeros to cover up some of your digits and practise how it makes it sound different, obviously is a different number but how it makes it easier or trickier to read.

Have a go at reading and writing this number.

I want you to read it aloud, represent it as a number and then even write it in words.

So pause the video, have a go and then come back to me Okay.

So, welcome back, we had to read the number aloud What did you get? Okay, I got 2,142,245 and to write it as a number, I would start with my millions, two then my hundred thousand, my 10 thousands, my thousands then my hundreds, then my tens and my ones.

So that is how you write this place value chart as a numeral Did you try Write it in words as well.

So two million , one hundred, oh we we're going to run out room one hundred and forty two thousand two hundred and forty five I definitely think writing it as a number as a numeral is the way to go.

[Chuckles] Now it's time that you're independent learning where you can show me, everything you've learned so far.

Here's what you need to do, you need to match the different representations but I haven't quite given you them all, you may need to write your own number, you may need to draw your own place value counters or even write your own words.

And if you want a challenge, you could create an incorrect pair of representations that maybe shows a common misconception or mistake that your friend might make.

So, pause the video now, have a go and then come back to me and we'll go through the answers together.

Welcome back.

So I hope you got on all right with the task.

This is what I did.

So I discovered that the first set of counters match the words 2,408,007 but there wasn't the numeral.

So I had to write that number and I had to remember all the zeros.

Then I matched the number to the place value counters and I found that I didn't have the word.

So I had to write that 1,700,413 Now, I then had this one, which didn't have the words or the counters, so I had to do both of them.

Do yours match mine? Now if you took up my challenge of creating an incorrect pair of representations, you may have chosen to do a number with quite a lot of zeros in because if you didn't have any zero place value counters, where you didn't have any zeros in the number, you might not remember to write them.

If I took the one above, a common misconception would be to write just from the counters, the three, the millions, the five, the other three for the hundred thousands, the five for the 50,000 and then the one and then the four.

Well, that is quite a different number.

So it would be a place value misconception that would be most commonly made.

Well done if you had a go.

So we have reached the end of our lesson.

Maybe you'd like to share some of your work and your numbers with me.

You can do that on social media.

You just need to ask your grown up, your parents or carer to do it for you and they can tag Oak National and I'll be looking out for that just before I go, I want to remind you to go and do the quiz.

Bye.