Lesson video

Hello, my name is Mr. Tilstone.

I'm very excited to be working with you today on the all important topic of money.

So if you're ready to go, let's begin.

The learning outcome for today is, I can explain and represent whole pounds and pence as a quantity of money.

We've got some important vocabulary or keywords today, and they are tenths, hundredths, pounds, pence, and placeholder.

And I dare say a lot of that is familiar to you already, but let's have a look anyway.

Let's be sure that we know the meanings of those important words.

So a tenth is the name that we give to one part of 10 equal parts.

A hundredth is a name we give to one part of 100 equal parts.

The units of money used in the UK are pounds, and we use that pound symbol, and pence.

And instead of writing the word pence, we can use the letter p, the small letter p.

A placeholder is where we use the digit zero to hold a place in a number and maintain place value.

The first lesson cycle is going to be using decimal notation to record money.

Remember, we can express this money total as two pounds.

So we can use the pound symbol in front of the number two, and the decimal point and two zeros.

The decimal point separates the number of whole pounds from the number of part pounds or pence.

In this case, we've just got two pounds.

We haven't got any pennies, any pence after that.

There are no 10 pences, that means there's no tenths of a pound, so we're gonna use a zero.

There are also no hundredths of a pound, no pennies.

So just like before we're going to use a zero or a placeholder.

We can write all amounts of money using decimal notation.

Here, we've got 2 pounds and 50 pence.

10p is one tenth of one pound.

Here we have five 10 pences, or if you like five tenths of one pound.

So we're going to use a five in the 10p column.

In this case, we've got no pennies, so no hundredths of a pound.

So we're going to use a zero, a placeholder.

We can write all amounts of money using decimal notation.

Here we've got 2 pounds and 53 pence.

We've got a small change this time, we've got an extra coin, the pennies.

1p is 100th of one pound, and here we've got three of them, three 1ps, or if you like, three hundredths of a pound.

So that's where we put the number three.

Here we've got Jacob and Sofia.

Jacob says this, "So Sofia, pounds and pence are just like whole numbers and decimals." Do you agree with that? Sofia says, "Yes, Jacob, they are," and he's right.

If you've learned about decimals and you're starting to become confident with decimals, it shouldn't be too much of a stretch to think of money as decimals.

Jacob says, "So we read this as two-pounds-point-five-three." Hmm, that didn't sound right, did it? What do you think it should have been? Sofia says, "No, you read the decimal point as pounds.

So in this case we've got two-pound-fifty-three." So the decimal point can be read as the word pounds.

Let's use a generalisation, something that's always going to be true.

The number to the left of the decimal point represents the number of whole pounds, and that will always be the case.

So say that with me please.

The number to the left of the decimal point represents the number of whole pounds.

Fantastic.

Now just you say it, I'll listen.

Bravo.

What about the number to the right of the decimal point? What could that represent? Let's have a look.

The number to the right of the decimal point represents the number of additional pennies.

Shall we say that together? Let's go.

The number to the right of the decimal point represents the number of additional pennies.

And now just you, please.

Off you go.

Have a look at the money amount on the screen.

There are two different ways that we can say that.

We could say 2 pounds 53, that's acceptable.

You'll hear people speaking of money in that way, but there is another way too.

You could also say 2 pounds and 53 pence.

Both are fine.

Let's do a check for understanding.

Let's see if you've got the learning so far.

You are gonna copy and complete the place value charts using the amount of coins that you can see.

Good luck.

Pause the video and I will see you very shortly.

Let's see how you got on with that task.

Okay, well, we've got four in the pound column, we've got two in the 10 pence column, and we've got six in the 1p column.

So we can express that as 426 pence, or we could even say 4 pounds 26, which would be the more usual way to express that.

So here we've got 4 pounds 26, or 4 pounds and 26 pence.

Let's do another quick check.

Same again, please.

What can you see here? Pause the video.

Okay, let's investigate.

What have we got this time? Different money amount.

Let's see how we represent that.

So we've got three in the one pound column.

We've got one in the 10p column and eight in the 1p column.

So 318 pennies altogether, essentially.

Or we could say it like this, 3 pounds 18, or 3 pounds and 18 pence.

Let's do another quick check to see if you've understood the learning so far.

Jacob has written this to show the amount of money that you can see on the screen now.

Is he correct? Have a think about it.

Have a go at explaining your answer.

Pause the video.

What do you think? Well, the answer is no, he's not correct.

He's made a mistake.

He's put the pennies as the first decimal place.

He's got them mixed up.

The coins are not in the right order.

Pennies are in fact hundredths of a pounds, so they go in the second decimal place.

It should read 2 pounds 54.

I think you're ready for your first practise task, so let's have a look at what we need to do for this one.

You should have some plastic coins with you.

What you are going to do is take a handful.

They should all be jumbled up and just take a handful of those coins.

You should have 1 pounds, 10ps and 1ps.

There are other coins by the way, but in this lesson we're just going to focus on those three coins.

So take a handful.

In the example here, it would've been three one pound coins.

So imagine I'd sort them out and I've got three one pound coins, and then seven of them were 10p coins, and four of them were 1p coins.

So that's how I'd record it.

And the total that gives me is 3.

74, so that's how I record it with a pound sign, number three, a decimal point and 74.

And then when you've done that, have a practise at saying that in the two different ways.

So in this case, we've got 3 pounds 74, and we've also got 3 pounds and 74 pence.

Pause the video.

Good luck.

I will see you very shortly.

Welcome back.

How did you get on with that task? Well, let's have a look at some possible responses.

There are, of course, many, many responses.

This is just one example.

You might have picked out six one pound coins, three 10p coins, and eight 1p coins, and that would read as 6 pounds 38.

You could say 6 pounds 38 pence.

Let's move on to cycle two.

Now we're going to think about using zero as a placeholder when we're recording money.

So let's revisit this money total.

Remember, we always use two decimal places when recording money with pounds and pence.

If it's just pounds, it's fine not to use a decimal point, but if you've got pounds and pence, we need that decimal point to separate them off.

Okay, so here we've got two in the pound column and we've got five in the 10p column.

And this is how we record it.

But if you look at that, something looks wrong, doesn't it? Can you spell what looks wrong with it? I need to do something.

Do you know what I need to do? I need to record the fact that we've got nothing in the 1p column.

So in other words, I need a placeholder, so that it's got two decimal places.

And that will always be the case when you're recording money amounts with pounds and pence, you're going to need two decimal places, even if just one of them is being used.

So in this case, we're going to use a zero.

Okay, what about this one then? How could we save this amount of money? Hmm, have a think.

Pause the video if you need to, then let's have a look.

Okay, we've got two pounds.

We've got nine 10ps, so we're gonna put nine in the 10p column.

And once again we've got zero 1ps, so we need that placeholder zero to go in the final column.

And now it looks right.

Now we've got two decimal places that says 2 pounds 90, or 2 pounds and 90 pence.

What would happen, do you think, if there was one more 10p? Let's have a think about that.

There's nine 10ps at the minute.

If there were 10 10ps, what would we do? How would we write that? How would we express that? Hmm.

We'd have to regroup is the answer to that.

So those 10 10ps will become another pound.

So now we've got three one pounds.

Remember, you can't use more than one digit in each column.

Let's have a look at another example, shall we? See if you can figure out what's going on with this one.

So this time there are no 10 pences or tenths of a pound.

So what do we need to do here? How do we need to represent this money total? We can't just leave it as it is, because it hasn't got two decimal places.

So we need to put something in the 10 pence column.

What could that something be? That's right, again, a placeholder zero.

When we use a placeholder zero, it's now got two decimal places and we can read it as two pounds three, or two pounds and three pence.

Where do you predict the placeholder will go in this example? Let's investigate.

Let's start by considering the number of pounds.

How many pounds are there? Six.

How many 10ps are there? None at all.

So we need to use that placeholder zero.

How many 1ps are there? There are nine, so we can put nine in the 1p column.

So we've got 609 pence or 6 pounds 9p.

I think it's time for a check for understanding.

Jacob has written down the money total that he thinks he can see.

Is he correct? Have a think, pause a video, have a go at explaining your answer and I'll see you very shortly.

Let's delve a little deeper, shall we? Something's wrong, isn't it? It doesn't look right for starters.

I can see there's only one decimal place and we need two with money.

So I don't think Jacob's thinking about placeholders, do you? So no, he's not, right.

We use two decimal places writing money using decimal notation, always.

If there's pounds and pence, we always need two decimal places.

Okay.

He's had another go.

Pause the video again.

Have a think, is that right this time? If not, can you explain why not? Well, at least this time he's used two decimal places, but I still don't think that's right.

Can you spot the error he's made? Hmm.

So no, he's not correct again.

There are four 10p coins, but he has used the number four, hasn't he? But not in the right place.

He's put them in the pennies column.

It should be 2 pounds 40 or 2 pounds 40 pence.

I think you're ready for a practise.

Let's see.

Here's what you've got to do.

You're going to write the following money totals and practise saying them in those two different ways that we've practised already in the lesson.

So you're going to write down what you can see, and then with your partner, say it twice.

Let's look at the first one.

Hmm.

I can see two kinds of coins, but I can see one missing.

Wonder what the missing one is and how we can express that.

Think placeholders.

The second one, again, I can see a different missing coin.

How can we express that using placeholders? The third one's a bit trickier.

Can you see something different about that? That's right, they're all jumbled up.

They're all mixed up.

Likewise with the last one, they're all mixed up.

But can you express the money total that you can see maybe using placeholder zeros? For task B, you're going to use the digits zero, three and seven.

How many different values of money can you write using those? So you're going to need that pound notation for that and you're going to need a decimal point.

How many different money totals can you write? Can you say them in different ways? Now, each time you've got to use them all, but you can only use them once.

So for example, you can't have 7 pounds 37, 'cause that's using the seven twice.

Good luck, I'll see you very soon.

How did you get on with that? Let's have a look at the answers.

So for the first one, we've got 7 pounds 20, or 7 pounds and 20 pence, and we've used a placeholder zero to show that there are no pennies.

The second one, we've got six pounds five.

We've used the placeholder zero this time to show that there are no 10ps, they're missing.

But in both cases we've remembered that we need two decimal places, even if only one of them is being used.

The trickier one with task B.

How did you do that? Maybe you might have crossed them out as you were going along, something like that.

Put numbers on them, I don't know.

So for the first one, we've got 4 pounds 50, and our placeholder zero is being used in place of the pennies.

And for the last one, we've got 10 pounds and 3 pence.

No 10ps.

So we've used the zero there in the place of the 10ps.

What about B2? How many different possibilities did you get? Well, in fact there are six possibilities.

We could be systematic about this as well.

We could start with the very lowest possibility, using our lowest value digit, which is zero.

Okay, so doing that, we start with 0.

37.

So 37 pence.

No pounds and 37 pence, you might look at it that way as well.

And then after that, if we're still being systematic, we've got 73 pence, which we can express using the pounds symbol.

And then we've got three pounds seven.

Now, we've got a missing value there and that is the 10p.

So we've used a placeholder zero there.

Then we've got 3 pounds 70.

The placeholder zero is being used to show no 1ps.

And then we've got seven pounds three or seven pounds and three pence.

The placeholder is being used to show missing 10ps there.

And finally 7 pounds 30, which has got no 1ps.

so we are going to use a zero placeholder instead.

We have come to the end of the lesson.

You've done really well and I've really enjoyed working with you.

Let's summarise what we've been doing today, shall we? Our lesson has been about explaining and representing whole pounds and pence as a quantity of money and different ways that we can do that.

So when we are recording pounds and pence, we always use two decimal places.

So if a money total's got both pounds and pence in it, we have to use two.

So for example, 6 pounds 83.

It's got the pound notation, it's got a decimal point and it's got two decimal place, and that is how we write money.

When the 10 pence column is blank, or the 10p column is blank, we have to use a placeholder zero, e.

g.

six pounds and three.

We can't just ignore that.

We need to make sure it's still got two decimal places.

We also use a placeholder zero if the one pence column is blank.

So for example, 6 pounds 80.

And that's the end of the lesson.

You've been amazing and hopefully I'll see you again soon.

Take care and goodbye.