Lesson video

Hi there.

My name is Miss Darwish.

And for today's maths lesson, we are going to be looking at some word problems involving division with remainders and decimals, of course.

But before we get started, if I could just ask you to take yourself to a nice, cosy, quiet, comfortable place somewhere where you can work.

Okay, so for this lesson, first of all, we're just going to be looking at division with remainders and then we're going to be having a look at some bar models and then some word problems. Then at the end of this session based on today's learning, there will be a quiz for you to go and complete.

Okay, so before we start, if you could just grab yourself a pencil or a pen, a sheet of paper or a note pad and a ruler.

Okay, so I'm going to just give you a few seconds to write these down for me with the answers, of course, and then we'll go through them.

So 17 divided by seven is equal to.

24 divided by seven is equal to.

31 divided by seven is equal to.

Give you 20 more seconds.

Okay, should we go through these together, if you're ready? Okay, let's see what you did.

17 divided by seven is two remainder three.

24 divided by seven is three remainder three.

And 31 divided by seven is four remainder three.

Hopefully, you've got those correct.

Okay, now, do you notice a pattern? So 17 divided by seven is two remainder three.

24 divided by seven is equal to three remainder three.

31 divided by seven is equal to four remainder three.

And then we've got a number divided by seven is equal to five remainder three.

Okay, let's start with the top one.

Two times seven is 14, 15, 16, 17, that's three away from 17.

Three times seven is 21, 22, 23, 24.

Four times seven is 28, 29, 30, 31.

Five times seven is 35, 36, 37, 38.

Well, I don't know if you said 38.

So, did you spot the pattern? Okay, right.

Let's have a look at this division question.

So, I don't know much about football.

Don't remember the last time I probably bought a football, I was probably eight years old.

39 pounds for six footballs, is that a good deal? I'm not quite sure.

But anyway, so to buy six footballs, the total cost is 39 pounds.

Can you guess what they're going to to ask? So, how much is it for one football then? But you have to buy six for 39 pounds.

Let's say some sort of deal.

So to work out if this is a good deal or not, let's see how much one football would cost.

So, six for 39 pounds, how much would one football cost? Okay, so division question.

39 divided by six, okay? So 39 pounds is the total price and we're dividing it or sharing it between six, between each of those footballs, just to find out the cost of one football.

So, 39 divided by six is equal to 6.

5.

Now, if I know that six times six is 36.

I also know that six times seven is 42.

But this is 39.

So it's not six and it's not seven.

But what do you notice about the number 39? It lies halfway between 36 and 42.

Did you spot that? So, because 39 is the answer between 36 and 42, it's halfway.

It's going to be halfway between six and seven.

It's not six, it's not seven, but it's exactly halfway between them.

So our answer would be 6 1/2.

That was my way of working it out.

Okay, so one football if it's 6 1/2 or 6.

5 would cost six pounds 50.

Is that a good deal? Maybe.

Okay, have a think about what your own word problem could be.

So the one we saw was 39 pounds for six footballs, where one football cost six pounds 50.

Can you think of your own word problem? It could be money as well, 39 pounds.

You spent 39 pounds on cinema tickets for six people, how much was each person's ticket? It was six pounds 50.

Can you write your own word problem for me? Could be to do with food, sports, okay? So, let's have a look at another division question.

So this is Xavier, and Xavier paid 585 pounds for six nights at a hotel.

So to stay for six nights at a hotel, Xavier paid how much? 585 pounds, well done.

You guess, what the question's going to ask now? How much was the price per night? How much is one night at this hotel? So he paid 585 pounds to spend six nights at the hotel.

So if someone was interested, let's say Xavier said, "Oh, it was a very nice hotel, lovely balcony view of the skyline." And you're thinking, "Oh, maybe I want to go to that hotel, but how much is it per night? I only want to stay for one night." So then we can work it out, 585 divided by six would give us the answer for one night at this hotel.

Okay, so below, can you see that I've got six boxes? Why have I done six boxes? What are they representing? The six nights that Xavier stayed, okay? And the total of those six boxes or the six nights is 585 pounds, 'cause that's how much Xavier stayed.

Now we want to know the cost of one of those boxes, one of those nights.

So 585 divided by six is equal to.

Now without working it out, I'm going to predict an answer.

So then, when we do work out, we can check.

Now, if I know that 600 divided by six is equal to 100 pounds.

So if he stayed for six nights for a hundred pounds, that would be 600 pounds, 585 is less.

So I know that the price for one night is less than 100 pounds.

Does that make sense? It's always nice to have a prediction.

What do you think the answer is roughly going to be just in case you make a silly mistake.

So when you do work out, you go, "Yeah, that sounds about right." Okay, so we think it's going to be less than 100 pounds because we've said instead of 585, let's round that up to the nearest hundred, 600, 600 divided by six is 100, but we rounded up.

So it's going to to be less than 100 pounds, okay? So, 585 divided by six is equal to.

If I put 90 pounds in each of them, can you see what we did there? You can see our written method there.

585 divided by six.

I've put 90 in each box and then seven more in each box, and then 1/2 in each box.

So what's the total per one night? 97.

5 or 97 pounds 50.

Let's go through that again.

Okay, so 585 divided by six.

Remember what we do? First, we're going to, we're grouping, we're sharing 585, we're splitting it into six boxes if you like, okay? So first of all, you're thinking, okay, let's put 90 pounds in each box and then let's put seven more pounds in each group.

And then we've got three divided by six now, which is equal to 1/2.

So then we put 1/2 more.

So we've got 97.

5 for one night.

And what did we say about our prediction? That it would be less than 100.

Is 97 pounds 50 a bit less than 100? Yes it is, that sounds about right, that sounds close to our prediction.

So what was the price per night if he paid 585 pounds for six nights at a hotel? one night would be equal to 97 pounds 50.

Okay, let's have a look at another question.

Cala has raised 585 pounds, which she would like to split amongst six different charities.

So, the first question as you can see was what was the price per night? This question is going to be slightly different.

This time, they're saying how much money will each charity receive? So Cala raised how much money? 585 pounds.

And she wants to share that money that she has raised for charity amongst six different charities.

So she couldn't decide which charity she wanted to give the money to.

So she's thinking, "Okay, there are six charities I would like to give the money to.

So however much money I raise, I'm going to share it.

I'm going to share it or split this money amongst the six charities." So did you spot what I did there? 585 divided by six would be the calculation to this question? What was the calculation we had for the last question, about Xavier? 585 divided by six.

Except, that his was 585 pounds that he spent on six nights at a hotel.

And this word problem uses the same calculation, but it's 585 pounds split amongst six charities.

Can you come up with your own question for 585 divided by six? Right, maybe you can write something down.

Okay, well done.

Now I'm going to leave you to go in and complete the independent tasks for today's session.

Once you've finished it and you've checked it, then come back, bring a pen to mark with and we'll go through and check the answers together.

Good luck.

Okay, welcome back.

How did you find that? Let's have a look.

So I left you with the three questions for you to do.

So the first one is about Sue.

So Sue pays.

Let me just move myself out of the way there.

There we go, that's better.

Okay, Sue pays 350 pounds for four nights at a hotel.

What is the cost per night? So how much to Sue pay? 350 pounds for four nights at a hotel.

What is the cost just for one night? 87 pounds 50.

So 350 divided by four would be the calculation.

And the answer is 87.

5.

Well done if you said that.

What do you notice about this hotel and the one that Xavier was staying in? This one's cheaper.

So 87.

5 would be 87 pounds 50.

Well done if you've got that right, give it a tick.

Okay, Number 2.

I keep getting in the way.

Okay, a school has paid 465 pounds for theatre tickets, it's taking 12 children to the theatre.

How much is one ticket per person? So 465 divided by 12 would be the calculation.

The total cost for the theatre tickets divided or shared equally between the 12 children.

How much is one ticket per person? 38.

75 or 38 pounds 75.

Well done if you've got that one right.

Okay, and then the last question, is 638 divided by four, which is equal to 159.

5.

And I asked you to write a word problem based on this calculation for me.

So 638 divided by four is of course, 159.

5.

Now money's probably an easy one to do.

I don't know if he had any other ideas.

It could be 638 pounds for a holiday for four people.

So each person would have spent 159 pounds 50 on the holiday.

Whatever your word problem is, if you would like to, then please share it with us here at Oak National.

I would love to know what you have come up with for your word problems. But if you would like to, of course, then please do ask your parent or your carer to show your work for you on Twitter, tagging @OakNational and to use #LearnwithOak.

Now, I just want to say well done on all the brilliant, fantastic learning that you have done on division word problems today.

Well done, you've worked very hard.

Now I'm going to ask you to go and complete the quiz for today's session, good luck!.