# Lesson video

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Hello, everyone, I'm Mrs. Crane, and welcome to today's lesson.

In today's lesson, we're going to be ordering and comparing a set of numbers that goes beyond 1,000.

How are you today? I hope you're ready to learn some new math skills.

In a moment, I'll go through all of the equipment that we'll need today, so don't worry just yet.

What I'd like you to do, please, is turn off any notifications on your phone or device that you're using, and then have a go at trying to find somewhere quiet and distraction-free in your home, so that today, in our math session, we aren't going to be disrupted.

Once you've done that, we'll get started.

Let's have a look at today's agenda.

So, we're going to start off by looking at the greatest and smallest number, then we're going to look at that Let's explore, and today we're going to be looking at playing a dice game together, then we're going to look at when we have three sets of numbers, then we'll look at our independent task today, it's Can you make a target number? And then we'll go through it together, okay? So, for today's session, you'll need a pencil, a paper, and a dice.

Don't worry if you've not got a real dice.

You might be able to ask a parent or a carer if they can help you find an interactive dice, okay? Pause the video now, go and get those things, if you haven't got them already.

Welcome back, okay, then we're going to start off with greatest and smallest number.

I've got here in this box my number cards.

I've got a seven, a two, a four, and a three.

My question today is what's the greatest number that I can make? Let's have a think.

What do you think the greatest number that I can make is? I'm going to put my seven from my number cards in my thousands column.

Why do you think I've chosen the seven, the greatest number from my numbers cards, to go into my thousands column? Why would I do that? Well, I would do that because the number with the greatest value, which was my seven, needs to go in the position with the greatest value, which is my thousands column here, because if it's in the position of the greatest value, it may as well be the number that is the greatest value, so I put my seven here.

Then I'm going to put my four here, 'cause if I look at these numbers here, my four has my next greatest value, and my hundreds column, sorry, is my next column with the greatest value.

Tens, then, I'm going to put my three here, 'cause my three is the next number with the greatest value, and my two here is going to go in my ones column, because my ones column is the column with the least value, so I've chosen the number that's the least value to go in that column there.

So, the number that I've made is 7,432.

That's the greatest number that I can make with those digit cards.

What's then the smallest number that I can make, do you think? Well, I'm definitely not going to put my seven in my thousands column.

This time, I'm going to put my two in my thousands column.

Now, I've done that because I've chosen the number with the least value to go in the column with the greatest value.

That's going to bring my number down the most that it can.

I'm then going to put my three in my hundreds column and we're going to do that because my three is my number with the next least value.

My hundreds column is the column with the next most value.

So, I want the columns to have the smallest numbers in them possible, and the smallest in the smallest place possible, so my thousands, my two can go there, my three can go in my hundreds, my four's going to go in my tens, and my seven's going to go in my ones.

My seven goes here, because my seven is the number with the greatest value.

In the place of the least value, my four goes next, because it's the next biggest number in the column with the next greatest value.

This is my next biggest, my next smallest number, sorry, in the column with the next greatest value, and my absolutely smallest number, which is two, in the column with the greatest value.

Now, what I want you to do is have a look at my number cards here.

I've got a five, a six, a seven, and an eight, and if you're feeling confident, I want you to think about the greatest number that I can make with those digits, and the smallest number that I can make with those numbers.

Don't worry if you're not feeling so confident.

We're going to have a look at it together, okay, but if you are feeling confident, pause the video now to have a go at this activity.

Okay then, I'm going to start off by looking at the number that I can make that has the greatest value.

I want to put my five here.

Oh, let's have a look.

Let's think about whether I've made a bit of a mistake or not, because I'm going to put my eight in my hundreds column, my seven in my tens column, my six in my ones column.

Is this the number with the greatest value that I could make? What do you think? I'm not sure that it is, and now the reason that I'm not sure that it is is because if I look at my number cards here, I know that eight is the greatest value.

I'm trying to make the greatest number.

I need to put the number with the greatest value into the column which represents the greatest value, which should be my thousands column, so I'm going to get rid of that number, because I need to put my eight here.

Then my next greatest number's seven, so I need to put my seven in my hundreds column.

My next greatest number is a six, so it's going to go in my tens, and my least, the number with the least value, is five, so I'm going to put that here.

So, my number is 8,765.

That's the greatest number that I can make with those digit cards.

Now, what's the smallest number that I can make? Have a think.

Well, I know that I need to start with the number with the least value, which would be five, in the column with the greatest value, because that's going to bring my number down as much as it can.

Next, I need to put my next biggest number in, which is going to be a six, then the next greatest digit, which is seven, and finally my eight, my greatest digit has to go in my place with my least value, in my ones place.

So, then the smallest number that I can make is 5,678.

Okay, now me and Mia, who's going to be one of our Maths Mastery children here.

She's going to compete against me to see if we can have the biggest number wins.

In a moment, you're going to have a chance to have a go against me too, okay? So, I'm going to show you exactly what that looks like by playing against Mia.

So, I have got here some digit cards.

I've got a two, a nine, a seven, and a four.

Mia has some different digit cards.

She's got a six, a three, a nine, and a five.

We've both got alike place value grids here and here.

Now, our task is to make the biggest number to see who's going to be the winner, so I need to use my digit cards to see if I can beat Mia and make the biggest digit, so I'm going to use my nine first.

Let's see what Mia is going to use.

She has used her nine.

I'm next going to use my seven.

See what Mia's used.

The next greatest digit card Mia's got is her six, so she's put her six in her hundreds column.

The next greatest digit I've got is a four, so the four's going to go in my tens.

Mia has got a five, so she's going to put the five in her tens.

I've got my last number, which is a two.

I'm going to put my two in my ones, and Mia's last number is a three, so she's going to put her three in her ones.

Who has the greatest number? Shout it out at your screen now.

Well done, it is me.

Woo, I've got the greatest number, so I have won this round.

I can see that by completing my inequality.

We're showing that 9,742 is greater than 9,653.

I am the champion of that round.

Now what we're going to do is play Let's explore, and we're going to play a similar dice game together.

So, I'll tell you when you need to pause, because you need to listen really carefully to my instructions, okay? So, there's going to be three different rounds, and we're playing for the greatest number.

Now, you need a dice.

I'm going to roll my dice, and put in my digits that I roll into these boxes here, so I rolled a five, I rolled a six, I rolled a one, and I've rolled a four.

What I'd like you to do now is pause your screen, and roll your four digits now, go! Okay, welcome back.

What we're going to do now is use your digits.

I'm going to use my digits to complete these boxes here, and see who has got the greatest number.

So, I'm going to put my six here.

Choose which digit you want to put into your columns now.

You should have put your digit into your thousands column, okay? I'm going to choose the next digit to go into mine, and I'm going to choose my five.

Choose your next digit to go into your hundreds column now, go! Okay, I'm going to choose the digit to go to my tens column.

I've chosen my four.

Which one are you going to choose? Go! And last, I'm going to choose my one to get into my ones column.

Which number are you going to choose to go into your ones column? Okay, lastly, I can't tell what's on your piece of paper, so I don't know what your number is, so you're going to have to decide if you are the winner, or if in round one, in fact, sadly, you've lost.

Have a look now at my number, and see if your number is greater than or less than my number.

Right, ready? We're going to do round two.

I'm going to roll my numbers again.

I've got a three, I've got a four, I've got another four, and I've got a six.

Pause the video now to roll your four numbers, and write them down, go! Okay, welcome back.

Now we're going to look at whose number is going to be the greatest.

So, still playing for greatest number, so I'm going to put my six in my thousands column.

Choose which number you're going to put in your thousands column now.

Okay, I'm now going to put my four into my hundreds column, because my four, I've got two of them, my next greatest digits.

Choose which number's going to go into your hundreds column now, go! My tens column, I'm also going to put a four in.

And the ones column, I'm going to put my three in.

Choose what's going to go in your ones column now.

Now, once you've done that, what I need you to do is look at my number, ooh.

Got a bit carried away there, I got too excited.

Look at my number here, and then I want you to decide if your number is greater than or less than my number.

If it's greater than my number, you won.

If it's less than my number, sadly, you've lost.

Final round then, so if you haven't won the other two rounds, this is your last chance.

I'm going to roll my dice again, so get ready to roll yours in a moment.

I'll tell you when to pause.

I've rolled a five, a two, a one, and a three.

Pause the video now to roll your dice to generate your four numbers, and then resume the screen again to have a look at who's going to win this round.

Okay, you should now have your four filled in too.

Greatest number again, so I'm going to start off by putting my five in my thousands column.

Which number are you going to put in your thousands column? I'm going to put the three in my hundreds column, because it's my next greatest number in my column of my next greatest value.

You choose which number goes in your hundreds column now, go.

Tens, I'm going to put two tens in mine.

And lastly, I'm going to put my one in my ones column, so choose your last one now.

Okay, have a look.

Is my number greater than your number or less than your number? If my number is greater than your number, sadly, you've lost.

If my number is less than your number, you have won, well done.

Okay, we're going to move on slightly, and now we're going to look at playing with three people.

So, here's me, and here are my numbers.

Here's Jeremy, and here are his numbers, and here's Mia again, she's back, and here are her numbers.

We all have different numbers, because we've all picked out different digit cards.

I have a six, a three, a two, and a four.

Jeremy has a five, a seven, a one, and a two, Mia has a four, a seven, a four, and a one.

Next thing I need to do, then, we need to find out who is going to create the greatest number.

So, my turn goes first.

I'm going to put my six in my column of my greatest value.

Jeremy's put his seven in his thousands column, and so has Mia.

Am I ever going to win this round, just from them? Nope, I'm not, because my six is less than Jeremy's seven, and Mia's seven.

Let's see, then, between Jeremy and Mia who's going to create the greatest number.

I'm still going to keep playing, because it doesn't matter.

Four in my hundreds column.

Five in his hundreds column, and a four in Mia's hundreds column.

Between Jeremy and Mia, who is going to win? Well done, those of you that said Jeremy, because Jeremy's five hundreds is greater than Mia's four hundreds.

It means that Jeremy is already our winner.

So, let's keep looking there, and seeing what numbers we create.

I've got a three in my tens, two in Jeremy's tens, and a four in Mia's tens.

Just because Mia's tens, four, is greater than Jeremy's two tens, can that mean that Mia now wins? Well done, those of you that said, "No, actually, Mrs. Crane, it can't mean that Mia now wins.

Mia still only has four in her hundreds, but Jeremy has a five in his hundreds.

Five is greater than four, therefore Jeremy must win.

Lastly, I've got a two, Jeremy's got a one, and so has Mia.

My number was 6,432, which was less than Jeremy's number, which was five, start again, which was 7,521, which was more than Mia's number, which was 7,441.

So, as we've said, Jeremy created the greatest number.

He's the winner.

This time, we're not playing for greatest number.

We're playing the number of the closest to 5,000.

If you're feeling really confident, you can pause the screen now to have a go at working out which number I would create with my digit cards, Jeremy would create with his digit cards, and Mia would create with her digit cards to try and get the closest to 5,000.

If you're not feeling so confident, don't worry at all.

We're going to go through it together now, okay? So, 5,000 is our target number here.

So, looking at my digits, I can see I've got a seven, a four, a six, and a two.

I'm going to pick my four to try and get me closest to 5,000.

Jeremy has a five, so he's picked his five to get him closest to 5,000.

Mia's also got a five, so Mia's put her five in her thousands.

Does this mean that I've already definitely not won? What do you think? Hopefully, it doesn't.

Now, my number might still be closest to 5,000, even though there's not a five in the thousands column.

That's because the numbers in my hundreds column might actually get me closer to 5,000 than the numbers that Jeremy and Mia could next use.

Let's find out by revealing the number I put in next.

I put in a seven, 4,700.

Well, imagine these are zeros until I put them in here, as placeholders.

Jeremy's put in 5,100 and something, so he is already closer to 5,000 than I am.

Let's see what Mia puts in here.

Mia's also put in a 1,000 here, 100 here, sorry, so Mia and Jeremy, at the moment, they're both very close to getting that target number, closer than I am, so I'm out of this race again, I've lost again.

Next I can put in a six.

It doesn't really matter, because I can't get closest to 5,000.

Let's see, though, what Jeremy and Mia are going to put in.

Jeremy's put in his six here, and Mia's put in her three here.

Which one is going to get them closest to 5,000? Well done, Mia is going to be closer to 5,000, because she's got three tens, and Jeremy's got six tens, so it looks like Mia is going to win it.

Let's just double check with our ones.

I've got two ones, Jeremy has nine ones, Mia has four ones.

Does Jeremy's nine ones mean that he is more likely and more close to 5,000 than Mia's four ones? No, it doesn't, because if I look at that number, I can see here 5,169 is greater than 5,134.

Even though there's a nine here, it doesn't matter, because that nine isn't in the correct column for it to make a difference here, okay? So, I know that Mia is our winner.

She has created the number closest to 5,000.

Here, I can see 4,762 is less than 5,169.

5,169 is greater than 5,134.

If we were playing for the greatest number, Jeremy would have won it.

If we were playing for the smallest number, I would have won it, but we were playing for number closest to 5,000.

Can you make a target number? In your independent task, using your dice, I would like you to roll to make your digit cards.

So, roll it four times, like we were doing.

Write down your digits, and see if you can beat me or Jeremy in each round.

Remember to check the target you're looking for, okay? Here are mine, Jeremy's, and your blank spaces, so you're going to have to think about what number I would put in here, what number Jeremy would put in here, and the number you'd put in here to see who would be the winner.

Next target is the smallest number.

Remember, again, look carefully at our digits.

You can roll again for your next four digits here.

This time, the target's the closest to 3,000.

Again, you need to put in what me and Jeremy would have put in here based on our rolls, and then choose yours as well.

Closest to 5,000 is that target.

Remember to resume the video when you're finished, and we'll go through what me and Jeremy have put in our boxes to see if you have beaten us.

Okay, welcome back.

So, let's see our target.

The first one was the greatest number.

I put in 6,431, Jeremy put in 4,332.

What number did you put in here? Is your number greater than 6,431 or 4,332? My number was the greatest, so you need to beat me there.

Have a look now and decide, is your number greater than my number or no? Well done if it is, don't worry if it's not.

Okay, this time our target was to make the smallest number.

My number that I made was 1,446, Jeremy made 2,356, so so far I'm winning.

Is your number smaller than my number here? If it is, you've won.

If your number isn't smaller than my number here, then, sadly, you haven't won, and I have.

Next target, then, closest to 3,000.

So far, my number is closer to 3,000, because they've both got twos in the thousands column, and six, that hundreds, sorry, is closer to 3,000 than 500 is in that column.

So, if your number is closer to 3,000 than mine is, then you have won this round.

Next, then, closest to 5,000.

My number is 5,124.

Jeremy's number is 4,621.

So far, my number's closest to 5,000 than Jeremy.

I seem to be beating Jeremy quite well here.

What I want you to do is work out if your number that you put in here is closer to 5,000 than my number is here, okay? Well done, thank you, and share your work with Oak National.