Lesson video

Hello everyone.

I'm Miss.

Brinkworth and I'm going to be your teacher for this addition math lesson today.

So if we look at our learning objectives, what we're doing today is that we're adding together two, three digit numbers.

And today we're going to be regrouping in more than one column.

Don't worry, all of this is going to become clear as we go through today's lesson.

Let's just look at what our agenda is for today.

Firstly, we're going to have a look at the mental strategies.

Even when we're doing written methods, we're still using mental strategies that add together the values in each column.

So let's recap those strategies.

You're then going to have an opportunity to have a look at what regrouping looks like when we've got dienes.

As the lesson goes through, we'll try and move away from the dienes, and just move on to solely column addition and regrouping through column addition.

And then the independent work and the quiz at the end, will give you a chance to practise what you've learned and see how well you can get on in that quiz to see how many points you can get at the end of the lesson.

So all you're going to need is a pen or pencil and some paper.

Please make sure you have that for this lesson as it's really crucial.

If you can find some squared paper, that would be even better.

Don't worry if you can't though.

It would also be quite useful if you could find some online dienes.

So dienes are the blocks that we use during lessons when we're talking about addition and subtraction and we can move things round and regroup.

We're not in the classroom together unfortunately, but it would be useful if you could find some online.

So speak to a parent or carer to see if they can help you find some online and use them during this lesson.

If you can't find them, please don't worry.

I will put them all on the screen for you as well.

So pause the video, take as long as you need to find your equipment for today.

Okay.

Should we get started? So here is your warm up.

Now two of these can be answered mentally.

There's no regrouping needed and you should be able to do them all in your head.

Two of them will require some regrouping, so it's up for you to decide.

Can you tell by looking at it, is regrouping required or whether you can just do it in your head? So pause the video, take as long as you need to answer these questions.

Let's see how you did.

We're looking at that first question there, 583 add 262.

I can see you do need regrouping.

I can see that because if I look at your tens columns, you've got eight and six.

They add up to more than 10, so you'll need to do regrouping and probably to write down some column addition to answer that question.

Well done if you were able to do that and get the answer.

So we've got two add three is five, in our ones column.

Eight add six is 14, so we need to regroup one of them into the hundreds.

We then got five add two is seven, not forgetting that we moved one over from our tens the answer is 845.

Here are your other answers.

You shouldn't have needed regrouping or column addition for that question as the numbers don't go over 10 in each column.

This one you don't need that, but for your final question, you need some regrouping and you probably needed method.

So those ones that have got the circle around, really well done if you got those answers right.

Let's move on then.

Pause the video and just have a think about which of these you think is the odd one out.

Bear in mind that we're talking about regrouping today.

Okay.

There's not really a right or wrong here, all I said was find the odd one out.

But I did mention that we are talking about regrouping.

So the one I've highlighted as the odd one out is this question here.

I wonder if you can tell why.

Unlike the questions we looked at in the warmup, this question needs you to regroup in more than one column.

What I mean by that, is that the ones and the tens add up to more than 10.

So when we add together our ones, we're going to get a number bigger than 10.

And when we add together our tens, we're going to end up with a number bigger than 10.

So this is what today's lesson is all about.

Addition questions with three digit number where we need to regroup in more than one column.

Shall we look at how we do that.

Let's have a look at how we'll represent that with our dienes.

Now it's not always possible in real life obviously to get our dienes out.

But it got to help us at the beginning of this lesson to visualise why we regroup and what regrouping actually looks like.

If you have managed to find some online dienes, please feel free to use them alongside me in these next few questions.

If you haven't managed to find them, don't worry.

I'm going to put them all up for you to have a look at, okay? So 176.

How am I going to represent that with my dienes? Well, I've got 100, one lot of 100.

I then need some tens.

How many tens are there in 176? Well 70, is seven tens.

So are there in my seven tens.

One, two, three, four, five, six, seven.

And there is my ones and there is six ones in 176.

Okay.

I then got 247 two hundreds, and one, two, three, four tens, and seven ones.

Okay.

Now it's just about adding them together.

Now, when we're doing addition like this, it's really important we start by adding our ones first, then our tens, then our hundreds.

Why do you think that might be? Well the reason is because we're regrouping, we've got to make sure that we've got that column free to regroup into.

So we start with the smallest value which is our ones, so that if we need to move those into the next place value of column, we can do that.

So, for our ones we're doing six add seven.

How would you work out six add seven? Well, what I always think about, is I love the question five add five.

I feel really confident that five add five is 10.

Six and seven are quite close to five, So I can use that part to help me.

Then what I so is, I know that six has got one more than five and I know that seven has got two more than five.

So if I added my five and five to get a record of 10, and then I add together my two or my one, I've got 13.

So six add seven is 13.

Maybe you think about a different way of adding six and seven together, maybe you do make 10, for example.

So you start with six and you think, oh, I need four more to get from six to 10.

So I've used four and then I've got three leftover from seven to do 13.

Whichever strategy you use doesn't matter as long as you get the right answer, which is, six add seven is the 13.

How am I going to represent 13 with my dienes then? 13 is bigger than 10.

I can see that 'cause it's got two digits in it.

It's a two digit number, 13.

Any two digit number, while we were doing our column addition like this today, requires us to regroup, Move into the next place value column.

So with my dienes, with 13, I'm not going to represent all of them with 13 ones.

13 has got three in the ones column, and one in the tens column.

So I'm going to regroup 10 from my 13, I'm going to take it out of the ones column and put it in the 10th column.

What does that look like with my dienes? Well, instead of 13 ones, I have three ones and one tens.

Moving on to my 10th column, I've got seven add four in that original question there.

I've got seven in 176 and I've got four in 247.

Okay.

Seven add four.

How would you work out seven add four in your head? Well, I think about seven add four, I think seven add three.

That's a fact I'm really comfortable with because that's a number bond, seven add three is 10, so seven four which is one more than three, must be 11.

So I've got 11 tens.

11 tens that's 110.

So again, I'm going to regroup because I've ended up with a number 11 which is a two digit number, which requires me to regroup.

So 11 tens, 110.

What does that look like in dienes? I'm not going to have 11 green tens, I'm going to have 110 like this.

gets regrouped into 100.

I then need to add together my hundreds, there's no regrouping needed there because I've got three hundreds.

Okay.

Let's see what that looks like for column addition then.

How would we place that into column addition? So we said that six add seven is 13.

And we said that 13 has got three in the ones column.

So we should have.

I've just circled there on the dienes where I've had to regroup just so you can see that while we're doing our column addition.

So 13 has got three in ones column.

I then go to make sure I write that one underneath my tens.

And I can't forget about it.

I've got to add it on now that I'm adding my tens up.

So we said that seven add four is 11, but I've got my ones to add on there as well.

Really important.

So it's 12.

I then got one to move into my hundreds, and I add that together with two and one to get my final answer, 423.

So that's how I did it, and I can say that I needed to regroup in two columns because I've got ones under my tens and my hundreds.

Let's go through it again with a different question.

Here we've got 625 add 426.

Can you take a moment to get that question out with your dienes? You don't need to do something with that.

Just see if you can get some dienes to look like that to represent that question.

Okay.

Hopefully your dienes look something like this.

So it's 625, 625 and 426.

Okay.

So let's add this together.

I can see that I'm going to have to regroup my ones because I've got five add six.

Five add six is 11.

I know that because five add five is 10, so five add six must be 11, one more.

And that's how I'm going to represent 11, one tens and one one.

My twos there I don't need to regroup, I've only got four of them.

But I clearly need to regroup my hundreds, I've got six and I've got four, which is 10.

10 hundred, 10 hundred is 1000.

So I've regrouped my 10 hundreds into 1000.

So let's have a look of what that looks like in my place value columns and my column addition.

So there I've got my dienes to remind me.

And I'm going to circle where I have to regroup.

Five add six is 11.

So one in the ones, and one under the tens.

Two add two is four, add one more is five, and then six add four is 10.

Which goes like this to show the 1000.

Okay.

And that's why I've regrouped.

Your turn then.

I'll give you the dienes to represent 359 add 166.

See how you get on.

If you want to just for now represent the deans, great.

If you're confident to move on to column addition to answer this question, brilliant.

Pause the video and take as long as you need.

Let's see how you got on.

Does yours look like mine? I wonder.

So we've got nine add six.

I'm going to have to regroup our tie.

Nine add six.

How would you work at nine add six? I'm going to take one from my six and add it to the nine to give me 10.

And then I've got five left over.

So nine add six is 15.

To represent that in dienes, I'm going to have one tens and five ones.

My tens, I've got five add six.

five add six is one bigger than five add five.

That gives me 11, which means I've got 110.

So that's how I'm going to represent 110 in greens and then my hundreds don't require any regrouping.

Let's move that over then to my column addition.

That's my regrouping in the ones and the tens.

So five, sorry.

Nine add six is 15.

Then I've got six add five, add the one at the bottom gives me 12.

And then I've got five there in my hundreds.

Really, really well done if you could see that and you got that answer.

That's brilliant.

There's your regrouping.

Okay.

One here I'd really like you to have a go now without using your diene.

So start with your ones and regroup where you need.

If you're canning, you can see that I've given you a little bit of a clue where some regrouping is needed.

So pause the video and have a go at answering that question.

Let's have a go going through the answer.

So the first sum you should have done is eight add five or five add eight.

It doesn't matter which order you want to do that in.

Five add eight or eight add five, I think I prefer having the big number first.

So I do eight add five.

And I work out eight add five as eight needs two to get to 10.

So I'm going to take two from my five to get me to 10.

I've got three leftover.

So eight add five is 13.

How do I write that in my column addition though? It's important for you to take the three and then a one under the tens.

Then I've got three add two in my tens is five, add the one is six.

And then seven add four is 11 which means I moved my one across to 1000.

So the right times that is 1163.

Have a look and see if you can see any mistakes in this answer.

Okay.

Well, when I look at that answer, I think that's too big.

I've got 500 and something at 200 and something.

I wouldn't expect my answer to go over 1000.

So that's my first clue that there's a mistake here.

Also, when I look at the numbers that they've regrouped, that they've moved across, those little numbers at the bottom in red, I could see a five.

We wouldn't expect to see that.

So I think they've made a little bit of a mistake here.

What do you think they've done? Well, instead of.

Well, let's have a think.

We'll start with the ones and check it methodically.

Seven add three is 10.

And that's what they've written there.

Zero in the ones, and one moved over to the tens.

That's fine.

Six add eight or six add eight is 14.

Add one more is 15.

So I think they've got their five and the one the wrong way round.

The five should've gone in the tens column and the one should've gone underneath the hundreds columns.

So here's the right answer.

And that looks a little bit more reasonable definitely that we would end up in the 800s when we've added together 500 and something and 200 and something.

Okay.

Time to pause the video and have a go at your independent task.

Take as long as you need and please come back together for the answers.

Let's see how you got on.

So I'm not going to go through the answers in huge detail.

I'm hoping that you did some column addition to work these out and that you were regrouping carefully.

I'll give you the answers in a moment to have a look at how you go to on.

Okay.

Well, very well done if you got all of those right.

We all make mistakes when it comes to column addition.

So please don't worry if there's one or two creeping in.

The important thing is to line up your columns correctly and take your time.

Okay.

What could the missing numbers here be then? So we need something add six is going to give us one in the ones column.

Well, the only number that can be is five because we're looking for 11.

And the only number that I can add to six get me five is, sorry, to get me 11 is five.

So that number's got to be five.

Here, again, I don't need to regroup.

So as long as you've got.

As long as you've got a number smaller than six, that's fine because you don't regroup from your tens into your hundreds.

You can see that 'cause there isn't a one under your hundreds column.

And then here, this number could be different, again.

It needs to be bigger than four because we need to regroup into the hundreds.

But you might've written five, six, seven, eight or nine and you would have had a different number at the top and a different number at the bottom there.

So yours might differ.

What if we look at this question then.

What mistakes do you think maybe they've made here? I think what they've done, they've got the three in the right place there.

That's six add seven is 13.

I think what they've done is forgotten to regroup that one into the tens.

They've done two add four is six, but it should be a seven in the tens because they should have regrouped one over from the ones.

Okay.

Time for your final knowledge quiz.

Let's see how well that learning has gone in.

Fantastic work today, everybody.

Well done.

Bye bye.