To recognise and add equal groups

Key Stage 1

Maths

Multiplication and division

﻿Hello, everyone. I hope you're ready for some more exciting maths with me, Miss Charlton, and my wonderful talk partner, Hedwig. Hopefully you've got your talk partner ready as well. Now, just before we start the lesson, I've got some exciting news to share. Now last week, I told you that I had managed to grow a strawberry and the others I had to share with the slugs. But this week, look! Look how many strawberries I've grown. I've got one, two, three, four, five, six. Six strawberries in my bowl. Now do you think that I should eat these all to myself? Or do you think I should share them with somebody? Maybe you could have a think and at the end of the lesson, if you've worked really hard, we could have a vote and you could tell me whether I can have them all to myself or if I need to share them. Now, today, we are going to continue with our learning about multiplication and division. So today's lesson, you are going to learn to recognise and add together some equal groups. The topic of multiplication and division. And you're going to need some paper and a pencil. And sometimes you'll need to pause the video to have a go at some of the activities yourself. So we'll go through our key vocabulary. Then we need to use our knowledge of numbers to help understand what equal amounts are. Then we're going to explore some adding of groups of equal amounts. Then you'll do your independent task and check the answers. So, first of all, let's go through our star words. These are the words you're going to need for our lesson. Get your hands ready. Get them all ready. We'll say hands up star words. Equal groups. Unequal groups. Groups of. Lots of. Altogether. Let's see how often we use those words during our lesson. Now I can see here, I've got some whole part models. And if I look very carefully, I can see that there's some things that are the same and some things that are different. Can you look really, really carefully and see if you can spot what's the same and what's different between these whole part models? Pause the video and have a go. How did you get on? Let's have a look at the first whole part model together. I can see that the whole is 12, so there are 12 altogether. And I can see that it's been split into three parts, and then I've got cookies in each of those parts, which is very exciting. Now let's have a look how many cookies there are in each of the parts. One, two, three, four. There are four cookies in that part. One, two, three, four. There are four cookies in the other part. One, two, three, four. There are four cookies in the final part. So all of the parts are equal. Yesterday we learned about equal groups and these are equal groups. Four plus four plus four is equal to 12. The whole is 12. and the parts are four, four and four. Now let's look at the whole part model. I can see that the whole is still 12. There are 12 all together. In the first part, there are one, two, three, four. Oh, there's four, that's the same. But in the second part, how many cookies are there? One, two, three . And in the last part, there are one, two, three, four, five. So the whole is the same and they all have three parts, but there are a different number of cookies in each of the parts. So the parts are unequal in the second whole part model. If we look more carefully, we'll be able to represent this as an equation. So if we take the number bond, the whole part model, where we had an equal number in each, we can work out the equation to help match it. So I've got the whole there, which I don't know at the moment, and then I've got the parts. I've got four and four and four. There are three equal parts, four, four and four. But what is the whole? To write the equation I would add those parts together because today we are learning to recognise and add equal parts. So we recognise them and now we need to add them together. Four plus four plus four is equal to? Can you add them up? 12. The whole is 12, the parts are four and four and four. Four plus four plus four is equal to 12. There are three groups with four cookies in each group. Three groups of four or three lots of four is equal to 12. Now let's look again with some groups of bananas. This is a girl Zoe, and she says I have 20 bananas. Are they in equal bunches? Have a look really, really carefully and see if you can chat with your talk partner, so long as they're not fast asleep, and work out if the bunches are equal or unequal. I wonder if you can use that vocabulary. Pause the video now and have a go. Let's check together. So the first bunch, the one with the pink circle around it, let's count the bananas. One, two, three, four, five. There are five bananas in that bunch. This bunch has one, two, three, four, five. This one also has five, so those are equal. Let's check the next one though so we're not tricked. This one has one, two, three, four, five, six. Oh, I nearly got tricked there. Did you nearly get tricked as well? So the first two bunches have five in each, but this bunch with the orange circle round has six bananas. Let's check the last one. One, two, three, four. There are four bananas in that bunch. So let's tell Zoe. Zoe, your bananas... Are they in equal groups or unequal groups? Can you tell Zoe? Say equal or unequal. Zoe, they are in unequal groups. I think we really helped her there. Should we give ourselves a Hulk clap for our wonderful efforts? Ready? Hulk! Brilliant job. Now I've got some sweets. I got some bags of sweets. How many bags of sweets have I got? Can you show me on your fingers? One, two, three, four. I've got four bags of sweets. Now all of these children think that they have got an equal number of sweets in their bags. Do you agree or do you disagree? Pause the video now and have a look. They think they've all got an equal number of sweets, is that true or false? Hmm. Let's check together now. I can see in the first bag, there are one, two, three sweets. In the bag underneath that there are one, two, three, four sweets. Oh. And in the one over there on the top, there are one, two, three, four. And in the one on the bottom, there are one, two, three. So do the children all have an equal number of sweets? No, they don't. They have an unequal number of sweets. Some of them have three and some of them have four. Now let's have a look at that using cubes. I've got different groups of cubes here. And I want you to tell me whether they are equal groups or not. Look really carefully. Pause the video now and then tell me if the cubes are in equal groups, true or false? Pause the video. Right, are you ready to check together? Let's look at the first one on the top, the blue cubes together. So I can see that those are all grouped together. They're in one group. How many cubes are in that group? One, two, three, four, five, six, seven, eight, nine, 10, 11, 12. There are 12 cubes in that group. Now let's have a look at the ones below. I can see that they're in lines of green, yellow, red, blue. I can see they're grouped into colours. Ah, how many groups are there? There's a green group, a yellow group, a red group and a blue group. There are four groups. How many are in each group? There are three, another three, another three and another three. Some of you might be able to roll your numbers. We'll add them together first and then we'll see if we can do our three times tables. Let's count all together. One, two, three, four, five, six, seven, eight, nine, 10, 11, 12. Oh look there are 12 there as well, just like the other one. We could roll our threes, do our three times table. Three, six, nine, 12. There are four groups of three cubes, four groups of three cubes and they're equal to 12, just like the other group. Now let's look at the next ones along. I can see that they're in groups of two. Can you see they're stacked together all the way along? How many groups are there? One, two, three, four, five, six. There are six groups. How many are in each group? One, two, one, two, one two, one two, one two, one, two. There are two in each group. So let's add them all up together. One, two, three, four, five, six, seven, eight, nine, 10, 11, 12. But that took a really long time counting like that. I think there's a much quicker way of doing it. We can just add our twos. We can roll our twos. Two, four, six, eight, 10, 12. Should we do that with our groups? Two, four, six, eight, 10, 12. There are six groups of two, which is equal to 12. So so far all of them have added up to 12 as the whole. Now let's look at the final one. I can see here that there are two groups. There's a row of green and another row of green. How many in each? One, two, three, four, five, six. One two, three, four, five, six. There are six in each, six plus six. They are equal. Six plus six is equal to 12. So I've added those equal groups together. So all of those groups added up to a total of 12. So even though they look really different because they're different colours and there's a different number of groups in each, they all add up to the same whole. Whew, that was tough, wasn't it? I think we need another celebration clap. Now, this one was made up by one of my teacher friends at my school and it's called Two Claps and a Whoo. And it goes like this. Whoo! That was tricky, wasn't it? Why don't you try it yourself. Are you ready? Whoo! Really good. Now let's look really carefully with our bags of apples. So each of these bags, there are four bags, and each of them contains five apples. Look very carefully. Are the groups equal or unequal and how do you know? Pause the video and have a look. That's right. I've got four groups and they've each got five apples. Let's count them. One, two, three, four, five. One, two, three, four, five. One, two, three, four, five. One two, three, four, five. They are equal because they've got the same number of apples in each group. That's the most important thing. Now we're going to look at those in more detail. One bag of apples is equal to five apples. So there's my one group. But I might have two bags, so that's two groups. Each of those bags has five apples each. Can you show me on your fingers? Can you show me your two groups? So I've got five apples in this group and five apples in this group. Five, 10. Five plus five is equal to 10. What about if I now have three bags of apples? Can you show me your three groups, your three bags on your fingers? I've got five in here, five in here and five in here. Should we roll off our fives? Do our five times tables to find the total? Five, 10, 15. Five plus five plus five is equal to 15. Three groups of five. Three lots of five. Now what if I have four bags of apples? Four bags, are you holding up your four bags? Remember there are five apples in each group because they are equal. Let's roll our five, do our five times tables to work out the total. Five, 10, 15, 20. There are 20 apples altogether. Four groups of five apples. Four lots of five. Now I wonder if you can do an equation to work those out. You just did it really, really well on your fingers, do you think we could write it down? I've got one, two, three, four bags of apples. Do you think we can work out the equation together? Let's try. I've got five in that bag plus five in that bag plus five plus five. Look it's repeated addition. Five plus five plus five plus five is equal to 20. The whole is 20, the parts are five, five, five and five. I have four equal groups of five apples. What about if I have yoghourts instead? Do you think it's the same thing? Here I've got five packs of yoghourts and each pack contains two yoghourts. Can you show me all of those packs? Can you the packs? Look, I've got one, two, three, four, five packs. Show me five packs on your fingers. And in each of those packs, can you see them stuck together? Sometimes I have buy yoghourts from the shop and you have to snap them to get them apart. Have you ever seen yoghourts like that? Well, that's just like this. Those are my five packs and each of my packs have two yoghourts in. Are the groups equal or unequal? Quickly pause and tell your talk partner. That's right, they're equal because there are two yoghourts in each of the pack. Now let's look at those, just like we did the apple. Here's one pack of yoghourts. Can you show me one pack or one group on your fingers? How many yoghourts is in that pack? There are two 'cause they're stuck together, aren't they? So we have one pack with two yoghourts in. What about if I have two packs of yoghourts? So show me two groups on your fingers. I've got two yoghourts in this and two yoghourts in this pack. Two plus two is equal to the four. Two, four. There are two groups of two is equal to four. Now I'm going shopping again and I'm buying another pack so I have three packs of yoghourts. Share me three packs on your fingers. One, two, three packs. One, two, three groups. Groups or lots. I've got two in here, two in here and two in here. Two plus two plus two. Two, four, six. Can you do that? Two, four, six. Really great counting. I have three packs of two. Three packs of two is equal to six. Then I bought another pack. Really enjoying my yoghourts today and I have four packs of yoghourts. Can you hold up four fingers for your four packs? How many yoghourts do I have in this pack? Two, good. How many yoghourts do I have in this pack? Two. How many in this pack? Two. And how many in this pack? Two. So there are two in all of my packs, they are equal groups. Two plus two plus two plus two, let's roll our twos and work it out. Two, four, six, eight. Four packs of two is equal to eight. And we're going to have another pack of yoghourts. We are really greedy today, aren't we? So this is our final pack. We have five packs of yoghourt. Show me on your finger. Two in here, two in here, two in here, two in here and two in here. They are equal groups. Let's roll our numbers and work it out. Two, four, six, eight, 10. Five packs of two is equal to 10. That was some fantastic addition and rolling of your numbers and working out groups and how many in each group. Shall we have a Hulk clap this time? Are you ready? Hulk! Really well done, everybody. Now we can write it as an equation. So I've got my groups, can you see? Now we need to work out how many in each group. We've got plus plus two plus two plus two plus two. Can you work those out? Did you get it? It's equal to 10. Two, four, six, eight, 10. There are five groups of two. Five groups of two are equal to 10. Now it's time for you to try this by yourself. You've worked so hard already, I'm sure you'll be able to do this. But if not, don't worry. You can check the answers with me afterwards. I've got some groups here and there are bumble bees in my groups. You need to write the addition equation to match the group. It tells you at the top that there are three groups of two. Can you see those three groups? One, two, three. Three groups of, how many are in each group? Two bumblebees in this group, two bumblebees in this group and two bumblebees in this group. Can you write the repeated addition equation to match that picture? And when you finish that there's another one here with groups of sweets. Have a go now, pause the video. If you want to use some pasta or some other little objects to help you work it out, you can do that. Pause the video and have a go. How did you get on? So the first one, I've got three groups of two. I've got two in the first group, two, two. Two plus two plus two is equal to six. And the second example, I have a group of sweets and I have five in that group and I have five in the other group, so they are equal groups. Five plus five is equal to 10. That was some really, really brilliant maths today, everybody. Well done! I hope that you've had fun. You've made a really, really fantastic effort. We just need to wake up Hedwig and tell her what we did in the lesson. So have a little think. Think about all of the skills that you used today and the knowledge that you needed to be able to work out the answers. Right, let's have a think. What did we do? Well, we needed to recognise when the groups were equal and when they weren't equal. So equal and unequal, that was really important. Why might that be important in real life for us to recognise if groups are equal and unequal? Hmm, what do you think? Well, I know that if someone was sharing some sweets out and they told me it was an equal group, I'd want to be able to count and check and make sure so that we both had the same number of sweets. I think you'd want to check that as well. Then we needed to work out how to add our equal groups using repeated addition. And we also rolled our numbers. We did our times tables. Then we spotted how many groups there were. We used our fingers to count how many groups there were and we needed to count how many were in each group. Gosh, we did so much maths today. Did you get all that, Hedwig? I think she did. She understood it. Now my last question for you, can I eat all my strawberries to myself or do I need to share them? What do you think? Can you shout at the screen? You can say, "Eat them all to yourself, Miss Charlton," or "Make sure you share them, Miss Charlton." Tell me. I think most of you said eat them all to myself. So I think that's exactly what I'll do. Thank you for that. Bye, bye.

To recognise and add equal groups

To recognise and add equal groups

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UnitMaths / Multiplication and division

Maths