Lesson video

Hello, I'm Mr. Tilstone.

I'm very excited to be working with you today on what is a very important part of life for lots of people, and that is money.

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

The outcome of today's lesson or what we'd like you to say at the end of the lesson, if you've been successful, is, I can convert quantities of money between pounds and pence.

We've got some important vocabulary, some keywords to discuss before we start on the lesson.

And those words are convert, partition and unitizing.

And I'm going to guess that of those three, it's probably unitizing that's the most unfamiliar to you.

So let's find out what they mean.

When a value is changed from one form to another, it is converted.

So for example, one pound equals 100p.

That might be some learning that you've encountered recently.

Numbers can often be partitioned.

So for example, 326 can be partitioned into 300 and 20 and 6, so broken into parts.

Unitizing means taking separate parts and making them into one whole.

So for example, 3.

2, although that's got two parts at the minute, can be thought of as 32 tenths.

So that's one part rather than as a three and a 0.

2.

So that's called unitizing.

In cycle one, we're going to be looking at applying knowledge of pound and pence equivalences.

And in this lesson we've got two helpers, one's Sophia and one's Jacob.

You may remember that one pound is equal in value to 100p.

That might be a fact that you've got locked and loaded.

This can be shown using a table, like so.

So we've got a pounds column and we've got a pence column.

So one pounds is 100 pence.

If I know that 1 pounds is equal to 100 pence, then it follows that 2 pounds is equal to 200 pence.

Hopefully that's not too much of a stretch.

There are twice as many pounds.

So there needs to be twice as many pennies to be equal.

So we can add that to the table.

You can see we're going down in ones for the pounds and down in hundreds for the pennies, both of which are easy to count in.

If I know that 1 pounds is equal to 100p, then 3 pounds is equal to 300p.

There are three times as many pounds so there needs to be three times as many pennies to be equal.

So we can add that to our list, to our table.

Can you see a pattern? What would be in the pence column if there were 4 pounds? Hmm.

Have a think about that.

4 pounds would be.

400 pence.

We can also look at what's called the multiplicative relationship between the values.

So in this example, we times 1 by 100 to get 100.

So we need to times 9 by the same amount.

So 9 times 100 is.

you got it, 900.

So 9 pounds is 900 pence.

We didn't have to list all of the values to get there.

We can multiply one to get to the other.

The value of the pounds has been made nine times the size.

So the value of the pennies also needs to be made nine times the size.

Here we go.

So 1 times 9 is 9, we need to do the same to the other side.

100 times 9 is 900.

So that's looking at the multiplicative relationship.

That way we didn't need to list all of the multiples of 1 and 100.

We could also look at the horizontal relationship between the numbers.

So in this case, what do we need to multiply 1 by to get 100? The value of the pennies is always 100 times the size.

1 pound is equal to 100 pence, so we multiply that by 100.

Therefore we need to multiply 9 by 100 to get to 900.

And once again, we haven't had to list all of the multiples to get there.

It is also possible to convert from pence to pounds.

So going the other way by using the inverse, the number of pennies can always be divided by 100 to give the number of pounds.

So if you know the pennies, we can convert them into pounds.

In this case, look, we're dividing by 100.

So therefore if we've got 800 pence, 800 divided by 100 equals 8.

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

Let's see how you're getting on.

Can you convert 14 pounds to pence? Pause the video and good luck.

Did you get it? 1,400 or 1400.

And you can get there a couple of ways, can't you? 1 times 14 is 14, so therefore 100 times 14 is 1400.

Or you might have done 1 times 100 is 100.

So 14 times 100 is 1400.

So either way, 14 pounds is 1,400 pence.

Let's do another one.

Convert 2,500 pence to pounds and pence.

So this time we know the number of pence, it's the pounds that are missing.

Pause the video and have a go.

How did you get on with that one? Did you get the answer 25? Well done if you did, here's what I did.

100 divided by 100 equals 1.

So therefore 2,500 divided by 100 equals 25.

So 25 pounds is 2,500 pence.

And if you've got that, well done.

You're on track.

I think we are ready to do a practise.

What do you think? Let's give it a go.

We've got a table here to complete.

It's partially completed.

The left column's got pounds and the right column's got pence.

So we can see we've got an example already done for us.

So 1 pounds equals 100 pence.

What about 6 pounds? How many pence is that? And then we've got 800 pence.

So we know the number of pence.

How many pounds is that? 14 pounds.

How many pence? 2,800 pence.

How many pounds is that? 37 pounds.

How many pence is that? And 9,900 pence.

How many pounds is that? And for task two, we're going to convert 39 pounds into pence and convert 5,600 pence into pounds and pence.

So pause the video.

Very best of luck and I'll see you shortly for some feedback and some answers.

Are we ready for some feedback? Let's give you some answers.

1 pounds, 100 pence, 6 pounds, 600 pence, 8 pounds, 800 pence.

You can feel a pattern here, can't you? 14 pounds, 1400 pence, 28 pounds.

2800 pence.

Or 2,800, you might say.

37 pounds, 3,700 pence.

99 pounds.

9,900 pence.

Well done if you've got all of those.

39 pounds converted into pence is 3,900 pence and 5,600 pence converted into pounds and pence is 56 pounds.

And there are two different ways you can write that.

One with a decimal point and one without because it's a whole number of pounds.

Let's move on to cycle B, which is converting between pounds and pence.

I think you're ready.

Here's Jacob.

Jacob's got some money.

Now, can you see a bit of an issue to start with? Something that's going to make this question a bit challenging.

Hmm? The coins are jumbled, aren't they? But Jacob's got an idea.

He says, "I think we need to put these coins in order first.

Let's start with the pounds." That's sensible, isn't it? He's starting with the coins with the highest value.

Very smart, Jacob.

So he started with the two pounds in this case.

"The two pound coin is the highest value coin here.

So we're gonna start with that." Jacob's got a good strategy here, I feel.

Then he's moved on to the 1 pound coins.

So 1 pound coins have got the next highest value.

So altogether the number of pounds is four, four whole pounds.

Or we could say 400 pence.

Two ways of saying that.

Let's move on to the next highest value.

What could that be? What coin comes next? Have a look.

It's the 20ps.

We can start thinking about the 10 pence column and the 20ps come into that because 20 is a multiple of 10.

So 20p is like two 10 pences.

And then we're going to use the 10 pence.

This is still the 10 pence column.

Altogether then, we've got three 10 pences, or 30 pence.

The 10 pence column's now complete.

So we're going to start thinking about the pennies column.

Now if we start with a five, that's five 1ps if you will.

And then we've got 2, that's the next highest value.

5p is like five 1 pences, there's also a 2p coin, says Jacob.

And then we've got two 1 pences.

So now we've got a bit more order going on.

I can see three distinct columns.

I can see a pounds column, a 10 pences column and a 1 pences column.

"Sorting the coins in order helped." It certainly did, Jacob, you're quite right.

So, let's return to our question.

How much money is here? Can you see it now? Can you work it out now? We've got 4 pounds, we've got 30p, and we've got 9p.

That's still not in the correct format, is it? It's not at the right notation.

So let's do something to that.

Let's combine them together.

That's 4 pounds and 39, 4.

39 pounds, 4 pounds, 39 pence, if you like.

Okay, we could say it in a different way.

We could also say that we've got 400 pence and 30 pence and 9 pence.

Because remember 1 pounds is 100 pence.

Combine those together and we've got 439 pence.

So we've got 4 pounds 39, or we've got 439 pence.

Jacob knows a useful fact, he knows that 1 pound equals 100 pence.

Sophia says, "So 1 pence is 100th of 1 pound." She's right.

That's an important fact.

Let's say that together.

Are you ready? 1p is 100th of 1 pound.

Just you say it now please.

Fabulous.

So can 4 pounds 39 be converted into pence? Hmm? We've got some different methods here.

Method one is called the unitizing method.

How many hundredths are there in 4.

39 altogether? There's nine in the hundredths place but how many hundredths altogether? If you are counting in hundredths, how many would make that? And the answer is 439.

So likewise, how many hundredths are there in 4 pound 39? Well the answer is still 439, so therefore 4 pounds 39 equals 439 pence.

So thinking of it as a number of hundredths was helpful there.

Well, let's look at another method.

Partitioning this time into pounds and pence.

So 4 pounds 39 is the same as 4 pounds plus 39 pence.

We've got the number of pounds and the number of pence.

Or, to put that another way, 400 pence and 39 pence.

And when we combine those, we've got 439 pence.

Can 285p be converted into pounds and pence.

So can we go the other way? Well, let's use that unitizing method.

Consider how many hundredths this represents.

How many hundredths in 285? 285 is the answer.

285 hundredths equals 2.

85.

So 285 pence equals 2 pounds 85.

Let's look at that same question using method two, which is partitioning into pounds and pence.

285 pence equals 200 pence and 85 pence.

We've split it into two parts, or that's 2 pounds, 200 pence is 2 pounds plus 85 pence.

And then put those together and we've got 2 pounds, 85.

So that's using partitioning to help us.

And Jacob's just got a little helpful reminder for us here, we write it like this, 2.

85 pounds.

We don't put 2 pounds 85 pence.

That's not how we write it.

That will be incorrect.

Let's check to see how you are getting on.

You are going to do some converting.

Can you start please by converting 8.

26 pounds into pence.

And I want you to have a go at that using two different methods, the unitizing method first and the partitioning method second.

So pause the video and have a go at that.

How did you get on with that? Let's look at the unitizing method.

There are 826 hundredths in 8.

26.

So the answer is 826p.

Partitioning, 8 pounds 26 is the same as 8 pounds plus 26p and that's 800p plus 26p, or 826p.

So either way, 826p is the right answer.

And well done if you've got that.

Let's do another check.

Can you this time convert 729 pence into pounds and pence? Again, can you try two different methods? Unitizing first and partitioning second.

Don't worry too much if you can't remember which one is which.

But it's helpful if you've got more than one strategy at your disposal.

Pause the video.

How did we get on? Using unitizing method there are 729 hundredths of a pound.

729 hundredths equals 7.

29.

So the answer is 7.

29 pounds.

And using partitioning, 729 pence equals 700 pence plus 29 pence, which is the same as 7 pounds plus 29 pence, which is 7.

29 pounds.

So either way the answer is 7 pounds 29.

And congratulations if you've got that, you're doing really well.

Time to put this knowledge into action, I think.

Task B, the first task is how much money is here? Write your answer in pence and then pounds and pence.

Now remember it's a bit jumbly at the minute.

You're gonna need to do a little bit of sorting first, but we want that in two different forms. Pounds and pence and then pence.

Question two, you're going to need a mixture of plastic coins.

Put them all in a pile, mix them up, take a handful.

So let's have a look at an example here.

Let's say in my handful there was a 1 pound, a 50p, a 50p and a 10p.

And you might notice there that I'd sorted them from highest to lowest.

If I put all of those together, that gives me 210 pence, or 2 pounds, 10 pence.

And for task B, we've got two tables, Pence on the left hand column and pounds and pence on the right.

So can you convert please from one to the other? And we've got some word problems. Rebecca's got 428 loyalty points to spend in a bookshop.

Each point is worth 1p.

Write down how much he has to spend in pence.

Now convert that into pounds and pence.

And then the final question Fahari is paying for some toys.

The shopkeeper says, "That's 12 pounds and eight pence, please." Write down how much Fahari has to spend in pence.

Use decimal notation.

That's quite a tricky one for a reason I won't tell you yet.

Let's see if you can spot the difficulty in that one.

Off you go, good luck and I'll see you very shortly for some feedback.

How did you get on with that task? Let's give you some answers, shall we? So the first one we had 687 pence altogether, which we can convert to 6 pounds 87.

And then there's going to be all sorts of different answers for the next one.

But let's look at one particular example.

Let's say you picked out a 2 pounds, a 2 pounds, a 1 pound, a 20p, a 20p and a 1p.

And we add all those together, we've got 5 pounds 41, which is 541 pence.

So I can say that in two different forms. I can convert from one to the other.

And I'll just give you a moment to pause the video if need be and look at the answers to task B3.

Number four, Rebecca had 428 loyalty points to spend in a bookshop and each point was worth 1p.

How much did she have to spend in pence? Well, that's 428 pence.

When we convert that, that gives us 4 pounds 28.

And then Fahari was paying for some toys and the shopkeeper said, "That's 12 pounds and eight pence, please." Write down how much Fahari has to pay.

Now we needed to use a placeholder zero for this one.

So we had two options.

We could say 1,208 pence or we'd more commonly say 12 pounds and eight.

And we write that like this, 12 pounds zero eight.

Well done if you got that.

And that is the end of the lesson.

Well done you.

You have been a superstar.

The lesson's been all about converting quantities of money between pounds and pence.

All money totals can be expressed in both pounds and pence and just pence by converting from one to the other.

So for example, 2 pound 64, we can say 264p, 804p is 8.

04 pounds.

However, it's much more commonplace to see them expressed as pounds and pence.

You wouldn't very often get somebody saying, I've got 804 pence.

You'd more likely have them saying, "I've got eight pounds four." Well done once again.

Take care and I'll see you soon, I hope.

Bye-Bye.