Lesson video

Hi there, my name is Miss Darwish and for our Math lesson today, we are going to be solving problems involving different units of measure.

So before we start our lesson, if I could just ask you to take yourself away from any distractions.

Okay, so the agenda for today is first of all, we're just going to recap on a few conversions and then we'll have a look at solving some word problems and steps to ensure that we've sold these word problems correctly.

And then there'll be a chance for you to write and create your own word problem about conversions.

And as always, there will be a quiz for you to complete at the end.

So if you could just grab these three items for me before we start our lesson, just a pencil or pen, something to write on, or a note notepad or piece of paper and a ruler.

Okay, hopefully we're ready now.

So convert these measurements.

So first of all, we got 35 millimetres.

So I type of thing, 35 millimetres is equivalent to how many centimetres? Write it down for me.

The next one's six days.

So think how many hours are there in one day? Okay, what about in six days, how many hours are there? If you've got the answer, write it down for me.

Okay, moving on to kilogrammes, 9.

6 kilos grammes, thinking about what kilo means is equivalent to how many grammes? Once you've got it, write down the answer.

Okay, moving on to a thousand minutes, three and a half hours is equal to how many minutes? So I know there are 60 minutes in one hour, so in three and a half hours, there are how many minutes? Write it down.

And the last one moving on from tonnes to kilogrammes.

So 2.

6 tonnes is equivalent to how many kilogrammes? Okay, shall we looked at the answers? So 35 millimetres is equivalent to three and a half centimetres or 3.

5 centimetres.

Six days is equivalent to 144 hours.

We know one day there are 24 hours, so in six days, 24 times six is equal to 144.

9.

6 kilos grammes, what does kilo mean? 1000, so 9,600 grammes.

Three and a half hours, I know that one hour is equal to 60 minutes, so in three and a half hours, that must be 210 minutes.

60 at 60 at 60 at 30 would be 210 minutes.

And the last one, 2.

6 tonnes, 2,600 kilogrammes.

One tonne is equivalent to 1000 kilogrammes.

Okay, have got these correct? Okay, let's move on to some word problems now.

So it takes Deanna 30 minutes to run eight kilometres.

How long does it take Deanna to run eight kilometres? 30 minutes.

How far could she run in one hour and 30 minutes? So it's obviously if she can run eight kilometres in 30 minutes, if she carries, on we're assuming she won't need any breaks, so how far could she run in one hour and 30 minutes? And they want the answer in miles, but the question tells us that she can run in 30 minutes, eight kilometres.

So let's have a look at how we can solve this.

In 30 minutes, Deanna can run eight kilometres.

All I'm going to do, this is how I like to solve word problems before I can even think about how to solve it, I just look on the screen and there are so many words and I just need to get the important information out.

And sometimes I like to use a highlighter.

But anyway, so in 30 minutes, eight kilometres, she can run.

So they want to know in one hour 30 minutes, now one hour 30 minutes, how many minutes is that? 90 minutes.

So that's one hour is 60 minutes at 30 minutes.

So that's 90 minutes.

So in 90 minutes, how far can she run? Forget that the question is asking for it in miles.

Let's move on to that step later.

Let's just focus on answering the question in kilometres and then we can convert it later.

Let's just see how far can she run in 19 minutes? So what would the calculation be? Will give you some thinking time.

Okay, so 30 minutes she can run eight kilometres, in 19 minutes, how far can she run? It have to to do 90 times eight and divide it by 30 or you can see that, eight kilometres it takes her 30 minutes, another eight kilometres, 30 minutes, another eight kilometres would be another 30 minutes.

So how many minutes in total have we got? 90 minutes.

And the question asked us for how far could she run in one hour, 30 minutes or 90 minutes.

So I'm laying it out.

Eight kilometres, at eight kilometres, at eight kilometres or 30 minutes at that minutes, at 30 minutes.

Can you say that? So in total, we've got 90 minutes.

So eight at eight at eight kilometres would tell us how far she can run in 90 minutes, or eight times three is equal to 24 kilometres.

Well done if you said 24 kilometres.

Okay, now, have we finished answering the question? No, because it says, give your answer and miles.

We have worked out the question.

We know that Deanna '90 minutes or in one hour and a half, she can run 24 kilometres.

We just need to know how much is 24 kilometres when it comes to miles.

So this will be step two now.

So we know in five miles, there are approximately eight kilometres.

What about 24 kilometres? Let's have a look.

So eight kilometres is the same as five miles, another eight kilometres is the same as five miles, another eight kilometres and other five miles.

So far eight times three kilometres is 24 kilometres, can you see that? We've shown 24 kilometres, but by doing it eight kilometres at a time.

So eight times three is 24 kilometres, I've shown that.

And for each eight kilometre, it's the same as five miles.

So how many miles in total is 24 kilometres? Five at five at five or five times three? 15 miles, well, don't know if he said that.

Now have we answered the question? Yes, we have.

It takes Deanna 30 minutes to run eight kilometres, how far could she run in one hour or 30 minutes? Give you answer miles, she could run one hour in one hour 30 minutes or in 90 minutes she could run 15 miles.

Nice and easy.

Let's have a look at another one.

So problem two now.

A sunflower grows around 20 centimetres every month.

How much does a sunflower grow every month? 20 centimetres.

How far could a sunflower grow in a year and a half? So every month it grows by 20 centimetres.

So in two months would be 40 centimetres.

Now we want to know in one year and a half, how long is my sunflower going to be? Give your answer in metres.

Let's have a look.

So again, the first thing is maybe I grabbed my highlighter and highlight the important sections and then I'd write it down.

So I know that the sunflower grows 20 centimetres in one month.

I'm taking the important information and writing that out just like we did before.

So in one month, the sunflower grows 20 centimetres.

We want to know about how much it can grow in a year and a half.

But first let's stick to months, one year and a half, how many months is that? How many moms are there in one year and a half? 18 months.

I know there are 12 months in one year, six months in half a year.

So in one and a half years, that's 18 months.

Okay, we've got, we've taken the main information from the question we want to give our answer in metres, that can be step two, okay? So it's a lot of 20 centimetres because in one month it goes by 20 centimetres, we want to know in 18 months.

So 18 times, 18 lots of 20 centimetres, 18 times 20 is equal to? Do 18 times two and then multiply it by 10.

360 centimetres, that would be a very tall sunflower.

Okay, now it says, give your answer in metres.

So in 18 months or in a year and a half, it would grow or it could go three metres 60, that's very tall.

Okay and 360 centimetres is the same as how many metres? 3.

6 metres.

Well done if he said that.

Okay, now is the chance for you to create your own word problem so using two examples.

That's problem two, we had problem one, for here we're talking about minutes, and of miles and kilometres.

And for the second one, we were talking about centimetres and times of the year.

So we're sort of mixing some problems together.

So now I want you to have a think about how you might be able to create your own word problem, okay? So the first step will be to select four different conversions.

So for example, you could talk about days and months, that would be too similar and then metres and centimetres or kilogrammes and tonnes and hours and minutes, okay? So the first step in creating your own word problem will be just to select for different conversion okay? All right, then step two is to think of scenarios that might link the two.

So how could you link minutes and hours with centimetres or metres or kilometres or tonnes? A nice, easy one that I like to think is maybe the Olympics or, or a marathon.

So we've got the times and the running.

So the Olympics is a nice one because you can talk about weights or the weightlifters.

You can talk about those that sprint, the athletes, swimmers, how fast they go, how far they they swam.

So the Olympics for me is a nice round one where there are lots of different examples that you can use to create your own word problem.

Okay, now it's time for you to complete your independent task.

So if you want to press pause now and then come back and we will go through the answers and see how you got home.

Okay, welcome back.

How was Monty the tortoise? Let's have a look.

So I'll read the question.

Monty, a tortoise come walk out half a mile, or was there a 0.

5 miles per hour? In theory, how far could Monte walk in one day, give you answering kilometres? So what was the information you took from that? Their main information about mobility? So in one hour, Monte can what's the distance.

He can walk 0.

5 miles or half a mile.

And we want to know in one day.

So obviously if we're talking about hours, let's stick to hours.

One day is equivalent to 24 hours.

Now we all, of course, assuming that Monte has not taken a detour, he's not taking any breaks and that he hasn't stopped and that he keeps going, okay? That's the assumption we are making here.

So give your answer in kilometres as well.

So remember what proper might let's do it in two steps.

So let's solve it, first of all, it doesn't matter if our answer is in miles at the end, and then we can convert from miles to kilometres because we know how to do that, okay? So, one hour, half a mile in 24 hours, how far could Monte walk? You're 24 times 0.

5, which is 12 miles.

So well done if you said 12 miles, now that was step one.

Step two now is to say, because it says, give you answer in kilometres is to say 12 miles, what's that in kilometres? So approximately 19.

2 kilometres.

So well done if you said 12 miles, 19.

2 kilometres.

Okay, how did you get on with your word problem? Maybe you use the Olympics, did you choose your four conversions first? Maybe he tries something from the Olympics, to help you or a sporting event? I always find that the easiest to sporting event or something from the Olympics, one of the races swimmer any of those weightlifters, maybe even a football game about how in so many minutes, this person could score this many cops, okay? Now I would love for you to actually share these word problems with us here "@OakNational." So if you would like to then please ask your parent or your character and so or work for you on Twitter tracking at spoke national and to use the hashtag learn with Oak.

I would love to see those word problems. Okay, I just want to say well done on all the brilliant learning that you have done today should be very proud of yourself.

Now I'm going to leave you to go and complete the quiz on today's session, good luck.