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Hi there, my name is Miss Darwish.

And for today's math session, we are going to be converting between miles and kilometres.

So before we get started on the lesson, if I could just ask you to take yourself to a nice, quiet, relaxing environment, somewhere where you can work.

Our agenda for today is first of all, we're going to discuss metric and imperial units.

And then we're going to be looking at miles and kilometres, and then we will be converting between them.

And then at the end of the session, there will be a quiz based on today's lesson.

So let's get started.

So you will need a pencil, a sheet of paper or a pad and a ruler.

If you want grab those things and we can start the lesson.

So we're going to be talking about metric units and imperial units.

Metric things like millimetres, metres, centimetres, and here in the UK, we do use metric.

Officially, we do use metric units.

So we talk about metres, millimetres, centimetres, kilometres.

Imperial units are things that maybe they're used outside in the US and Canada, things like inches, feet, yards.

However, even though I have said that in the UK, we do use metric units.

There are still some people that like to, or prefer to use imperial measures rather than metric measures.

So sometimes it's a preference.

Like if you were to buy some material, sometimes people like measuring the material by yard.

And of course miles.

This is where it gets a bit confusing because in the UK, yes, we do use metric measures, however, we also use miles.

So in the UK, yes, we use metric measures officially, but we do also use miles.

So this lesson is going to be about comparing and converting the kilometres to miles.

How can we measure the distance further than we can see? If that is something that I can see, I will take up my ruler.

I will take out my metre stick and measure, but what about if I can't see the end of it? So if I was driving to Milton Keynes, I can't see Milton Keynes from, I'm in West London, from West London.

So how would I get there? How could I measure it? So in my car, as I'm driving on the A to Z, I can look up the map and I can see the distance from one point to another.

From my car, I will know if they are miles or the kilometres.

So let's look at conversions.

So in one kilometre, there are 0.

62137 miles.

Easy, can you remember that? No, I'm not asking you to remember that in one kilometre, there are 0.

162137 miles.

So what we're going to do is we're going to, I will give you a rough estimate.

So instead we could also say, 1.

609 kilometres for every mile.

But again, that's too confusing to remember.

So we can say approximately, approximately means roughly around, not exactly, for every eight kilometres, there are five miles.

For every, say with me, for every eight kilometres, there are five miles.

Let's do some actions with that for every eight kilometres there are five miles.

That could be an M.

Let's do that once more, for every eight kilometres, there are five miles.

That's a nice way of remembering.

Let's just do it once more.

For every eight kilometres, there are five miles.

And then we remember in our heads.

What about if we have 10 miles, how many kilometres would that be? Say for 10 miles, double five is 10.

So we would double eight to get 16 kilometres.

So five miles is approximately equivalent to eight kilometres.

So 10 miles is approximately equivalent to 16 kilometres.

Could you see how we got that? We'll start with five miles, 10 miles.

So what's double of eight kilometres? 16 kilometres.

Let's have a go with another one.

What about 40 kilometres, how many miles is that? Give you some thinking time.

For every eight kilometres, there are five miles.

What about 40 kilometres? How do we go from eight to 40? What do I multiply eight by to get 40? Five, eight times five is 40.

So guess what I have to do to the five miles? Multiply also by five.

And what's five times five? 25, so 25 miles.

Do you see how we got that? So eight kilometres is five miles.

I know that eight times five is equal to 40 kilometres.

So I multiplied the kilometres by five.

So I also have to multiply the miles by five, five times five is equal to 25.

Okay, well done.

Now I'm going to talk to you about a special type of sequence.

Will you try and have a look at the numbers in front of you.

We got one, one, two, three, five, eight, 21, 34, 89, 144.

So you can see there are missing numbers in this sequence.

This is a very famous sequence.

Now, what do you notice about the numbers? How can we find the missing numbers? I'll give you some thinking time.

Have you worked out what the missing numbers might be? Have you worked out what the sequence is? Let's start from the beginning of the sequence.

You've got one, one, two, three, one add one is two.

One add two is three.

Two add three is equal to five.

Three add five is equal to eight.

Five add eight is equal to 13.

13 add 21 is equal to 34.

So you can see that the number is the sum, the total of the two numbers before it.

So for example, if we look at 89, it's 34 add 55.

The number 13, is eight add five.

The number 34 is 21 add 13.

So it's the sum of the two previous numbers before it.

Now you're thinking why have we gone for miles and kilometres to this funny looking sequence? There is a trick to this sequence and it's got to do miles and kilometres.

Now for every five miles, how many kilometres did we say they were? Eight kilometres, okay, interesting.

So five miles, eight kilometres, or for every eight kilometres, there are five miles.

Now, 89 miles, approximately the same as 144 kilometres.

So the Fibonacci sequence actually tells us, it can help us to find approximately how many kilometres there are in miles.

So let's say we go to another country and they're talking about kilometres and we want to convert it to miles, or we want to convert mile to kilometres, and if you knew there were 13 miles, roughly 13 miles would be the same as 21 kilometres.

It's just the number after in the sequence.

So what about if I said to you, 55 miles is approximately equivalent to? 89 kilometres, it's just the one after and the sequence.

How cool is that? 89 miles equivalent to 144 kilometres.

I'm going to leave you now to do the independent task about converting between miles and kilometres and what I need you to remember is that for every eight kilometres, there are five miles approximately, of course.

So have a go at the independent task and then once you've checked over your answer, come back and we will go through the answers together.

Good luck.

Okay, welcome back.

How did you find that? Hope you found that okay? The conversions.

Shall we go through the answers together now? So, I left you with a table to convert and it looked like this.

So we've got miles and kilometres.

So for every five miles, there are of course, eight kilometres.

So the first one should have been nice and easy for you to do.

And then if we have a look at the next one, so we had 40 miles next, and how did we get from five miles to 40 miles? We multiply by eight.

So we do the same for the kilometres.

Eight kilometres times eight is 64 kilometres.

So remember when we try to convert 40 miles into how many kilometres , I'll say, okay, how do I get from five miles to 40 miles? I multiply it by eight, five times eight is equal to 40.

So then I multiply the other side by eight, eight times eight is equal to 64.

And then I've got 72 kilometres, how do I get from eight kilometres to 72 kilometres? Eight times what is 72? Eight times nine is equal to 72, which means I also have to multiply five by nine, five times nine is equal to 45 miles, well done.

And then the last one, how do I get from eight kilometres to 104 kilometres? Eight multiplied by a number gives me 104 kilometres.

Eight times 13, if you know what eight times 12 is, add on another eight, eight times 13 is equal to 104, which means five times 13 is equal to 65 miles.

If you want to just check your answers now and give them a tick, if you got them right.

If you didn't get any right, then just make sure you go back and correct it.

Okay, Well done.

If you would like to share your work with us, here at Oak national, then please do ask your parent or carer to share your work on Twitter, tagging @OakNational, and to use the hashtag learn with Oak.

Now, before I leave you with the quiz, I just want to say well done on all the brilliant learning that you have done today, converting between miles and kilometres.

Good luck with the quiz.