﻿Hello, it's Mrs. Walden here again and I am going to be teaching you today's maths lesson. You might remember last time, last lesson, Mrs. Martin set you a little practise activity, and she wanted you to find 12 objects around your house, 12 identical items. So she said pasta, you could use cakes, pencils, bricks, I decided today to bring my crayons. So I've got 12 crayons with me today. And I'm going to show you some of the ways in which I put those 12 crayons into groups. Now, she asked you to explore and to make equal groups and unequal groups. Did you manage to do that? Don't worry if not, because now you've just got an opportunity to have a practise. If you did, well done. So first, I'm going to show you one of the ways in which I made a group using my crayons. Okay, so I've got three groups and I have 12 crayons, and I put my 12 crayons into groups. Now, have a look, are my groups equal or unequal? And how do you know? I've made my groups unequal, that means I don't have the same amounts of objects in them. So they don't have the same number of crayons in them, okay? I can make my groups equal. I've made my groups equal, do you want to show you? Okay, so this is one of the ways in which I made my group of 12 objects equal, I put them into groups and I made them equal. So when I look at my groups, I know that they are equal because they have the same number of crayons in each group. Do you have anything different? Have you found another way of grouping 12 into equal and unequal objects? So today I've brought some stickers. I've got two groups of stickers. What do you notice about these two groups? That's right, they are unequal. So we need to use the stem sentences to support our explanation. So the stickers are grouped and the groups aren't equal because there are a different number of stickers in each group. Can you say those stem sentences for me? That's right, well done. So the fist group, this group, how many stickers do we have? We've got two stickers. And the second group, this group, how many stickers are in this group? There's four stickers. Now that's not fair, it's not equal. So what can we do to make these two groups equal? That's right, we can redistribute them. And redistributing means that the stickers we have, we just have to move them into the different groups to make them equal. So let's see. Now we've redistributed, now we've moved the sticker from the group with the most in to the group with the fewest in, can you see how they are now equal? We've not added any more stickers, we have just used the stickers that we have in the groups. Okay. Last lesson, Mrs. Martin told you to get some plates and some bricks or Lego, pasta, I was going to use pom-poms but I've decided to just use some crayons. So I've got some crayons and I do have my four plates, okay? You might want to just go and pause the video now just while you go and get your resources ready so that we can use them throughout today's lesson. Okay, so let's have another practise. I'd like you to make two groups. So using your plates, I would like you, on the first group, to put three objects. And on your second group, I'd like you to have five objects. Okay, right. What I'm going to do now is I'm going to say my stem sentence that is at the top. "The groups are unequal because there are a different number of," and I've used crayons, so I'm going to say crayons, "in each group." Can you say the stem sentence for me? Fabulous. So what I need to do now is look at the group that has the most crayons in. Is it group one or is it group two? Which one has the most crayons in, or most pasta pieces, whatever your objective is. That's right, it's group two. So my group two has five crayons in. Now, that's not equal, because the other group, group one, only has three crayons in. What can we do to make these groups equal? That's right, I can move a crayon from the group that has the most in, which is this one, and add it to the group that has the least, the fewest crayons. So now I'm going to be checking, are both groups equal? Yes, both groups are equal. So all's I did was moved one crayon from the group that has the most in to the group that has the fewest in. And now both groups are equal. Well done. Okay, let's have a look at the teddy bears on the plate. What do you notice about these groups? That's right, they all have different teddy bears on them, different amounts of teddy bears on them. Can you make those groups using your plate and your resources? So I'm going to get my four plates. And instead of using teddy bears, I'm going to use my crayons. You might want to pause the video while you just set it up. Okay, so I've got my four groups and my four groups represent the plate and the teddy bears on the screen. So looking at my four plates with my crayons on, are my groups equal or unequal? That's right, the groups are unequal because there are a different number of bears in each group. Fabulous, so what can we do to make our groups equal? Fabulous. Right, so we can move an object from the group that has the most in to the group that has the fewest objects in. So the group that has the most in is the first group, and I'm going to put it into the group that has the fewest objects. So now when I look at all my groups, all my groups are now equal because there are the same number of objects in each group. So let's double-check. We were right in saying that at the moment, before we move any object, the groups are unequal because there are a different number of bears in each group. Look what happens when we move one bear from the group that has the most in to the group that has the fewest in. Are all the groups equal? Yes, they are, because they all now have the same number of bears in each group. Well done. Right, we're so good at this now. I think that all these groups are equal. Am I correct or not correct? Can you use your resources to help you explain your answer? You might want to just pause the video whilst you do that. Fabulous, I'm not correct. Why am I incorrect? Why are the groups not equal? That's right, the groups aren't equal because they all have a different number of hearts in them. So what can I do now to make them equal? Fabulous, I can move a heart from the group that has the most in to the group that has the fewest in. Let's see what happens when I click my button. Did you see? The group that had the most in gave a heart to the group that had the fewest in. So now that means all the groups are equal. Let's see how many's in each group. There's two. Two in that group. Two in that group. Two in that group, and two in that group. Now they are all equal, well done. Okay, I'm really excited because you are so good at this now. I have put some footballs into equal groups and I've even put the number underneath for you. What do you mean I'm not right? So you're telling me that the groups aren't equal. How do you know those groups are unequal? Because they have different number of footballs in them? Oh, I thought they were equal. So what can I do to make the groups equal then? So I have to move a football from the group that has the most in to the group that has the fewest in? And then will they be equal? So in the first group here, are you saying that there isn't three footballs? Oh. Well let's see if that will make them equal. Are all groups equal now? Yes, we've got three in the first group, we've got three in the next one, and we've got three in the final group. So does that mean all the groups are equal? All the groups are equal because they have the same number of footballs in each group. Right, okay. You're so good at this, well done. Right, so your practise activity today is to put these children into equal groups. Now, there's 12 children in this house and they can't all stay in one room, so you need to split them into equal groups. Now, you might want to use the resources that you've had for this lesson, or you might want to use your potato stampers to practise moving the 12 children around the groups. But remember, we're not adding any more children, we're just moving the children that are there in that house around to make equal groups, just like we've been doing throughout today's lesson, okay? Well done, you've been absolutely amazing and you've shown me how to make equal groups. Well done and I'll see you soon, bye.

In this lesson, we will group twelve identical items in both equal and unequal groups.

In this lesson, we will group twelve identical items in both equal and unequal groups. Resources provided by NCETM (CC BY-NC-SA: https://creativecommons.org/licenses/by-nc-sa/4.0)

Lesson overview:Redistributing from unequal to equal groups

Core Content

Multiplication: equal and unequal groups: