Lesson video

Hello, I'm Mrs. Martin.

Last time we were looking at equal and unequal groups, and I sent you a little task to make either a potato stamper or cardboard stamper, or even make your own pictures, drawing identical objects and putting them into groups and your groups could be equal or unequal.

And then you're going to quiz the people in your house to see what they look like and to test whether they knew if they were equal or unequal.

These are pictures that I made, so you might have used a potato stamper, you might have used cardboard stamper or you might've used something else.

Let me show you what my pictures looked like when I grouped them.

Here are my stars.

Have my stars been put into equal or equal groups? What do you notice about the number of stars in each of my groups? Press pause on the video and have a little look.

What did you notice about my stars? Is it the same number of stars in each group or a different number of stars in each group? See that there is the same number of stars in each group, isn't there? Let's have a little look.

If there's the same number of stars in each group, that means that my stars have been put into equal groups because there's the same number of stars in each group.

Super.

Let's have a look at my next picture.

Here are my fish, what do you notice about my fish? Have a look at how many fish are in each group? Is there the same number of fish in each group or a different number of fish in each group? Press pause on the video and have a little look.

What did you notice about how the fish have been grouped? Have they been put into equal groups or unequal groups? Super, they have been put into unequal groups, haven't they? Because there is a different number of fish in each of my groups.

What about your pictures? Did you put your objects into equal groups or unequal groups? And how did you know that they were equal or unequal? Did the people in your house guess correctly? I hope you had a great time putting your objects into equal and unequal groups.

These cubes have been put into groups.

What's the same and what's different about them? Are the groups equal or unequal? Press pause in the video and have a little think.

What did you notice? Can we check that there were the same number of cubes in each group? Cause if there's the same number of cubes in each group then the groups must be, can you remember the word, equal, fantastic.

But if there is a different number of cubes in each group then they are unequal, fantastic.

Look at the cubes what do you think? Super, they are in equal groups, aren't they? We know that the cubes are in equal groups because there's the same number of cubes in each group, there are two cubes in each group.

The groups are equal because there is the same number of cubes in each group.

Can you say that sentence with me? These groups are equal because there are the same number of cubes in each group.

Fantastic.

Look carefully the pencils, the pencils have been grouped.

What's the same and what's different about the pencils? Press pause on the video and have a little look.

What did you notice about the pencils in each group? Have you noticed that the pencils in one of the groups is longer than the pencils in the other group? Are these groups of pencils equal or unequal? Press pause on the video and have a little think.

What do you think? Do you think they are in equal groups or unequal groups? Does it matter that one of the groups of pencils is longer than the other group? No it doesn't, does it? What we need to check to see if they are equal or unequal is how many pencils are in each group.

The size of the pencils doesn't matter.

So what do you think, do you think they are equal or unequal groups? If they're the same number of objects in each group, then the groups must be equal.

If there is a different number of objects in each group, then they must be unequal.

What do you think? Fantastic, the pencils are in equal groups.

We know that the pencils are in equal groups because there are five in each group.

Let's say the sentence together.

These groups are equal because they're the same number of pencils in each group.

Fantastic.

I couldn't catch you out then, could I by giving you longer pencils, super.

Look carefully at the butterflies.

The butterflies have been grouped, have they been put into equal or unequal groups? What's the same and what's different? Press pause on the video and have a little look.

Did you notice that the butterflies in one of the groups are upside down, they're flying down to the ground, aren't they? Do you think that matters when we're looking at are equal and unequal groups? No you're right.

It doesn't, does it? Because what we need to look at to determine if the groups are equal or unequal is are there the same number of butterflies on each group or is there a different number of butterflies in each group? Have a little look and press pause in the video.

Are the butterflies in equal groups or unequal groups? Fantastic.

The butterflies are in equal groups.

It doesn't matter that the butterflies in one group are facing another direction because we need to focus on counting the number of objects in each group.

If we have the same number of objects in each group, then the groups must be equal.

There are three butterflies in each group.

These groups are equal because they're the same number of butterflies in each group.

Can you say that last sentence with me, these groups are equal because they're the same number of butterflies in each group.

Super.

Now we have some groups of cars.

What's the same and what's different? What do you notice? Press pause in the video and have a little look.

What did you notice? Have you noticed that the cars in one group are green and the cars and the other two groups are red.

Now, do you think the groups are equal or unequal? Press pause on the video and have a little think.

What do you think? Does it matter that the cars are in different colours in the groups? It doesn't, does it? Doesn't matter if the cars in each of the groups are different colours, we've got some that are red and some that are green.

What matters is how many cars are in each group.

If there's the same number of cars in each group, then the groups are equal.

If there there's a different number of cars in each group, then the groups are unequal.

What do you think? Do you think the cars are in equal groups or unequal groups? Super.

The cars are in unequal groups.

There are two cars in one group, there are three cars in one group and there are two cars in one group.

What does that tell us? Fantastic.

It tells us that these groups are unequal because there are different number of cars in each group.

Can you say that sentence with me? These groups are unequal because there are different number of cars in each group.

Super.

Now we have some cats.

The cats have been grouped.

What's the same and what's different? Press pause in the video and have a little look.

What did you notice? Have you noticed that the cat in one group is bigger than the other cats? What do you think that means? Are these groups of cats equal or unequal? Does it matter that one of the cats in one group is much bigger than the other cats.

Press pause on the video and have a little think? What do you think? Does it matter that one of the cats in the, one group is bigger than the other cats in the other groups? It doesn't, does it? Fantastic.

We need to focus on counting how many cats are in each group.

Let's have a look at how many cats are in each group.

If there are the same number of cats in each group then the groups are equal.

But if there's a different number of cats in each group, then they are in unequal groups.

What do you think? Are they in equal groups or unequal groups? Super, they are in unequal groups.

Well done.

There is one cat in one group, there are three cats in one group and there are four cats in one group, what does that tell us? Excellent.

These groups are unequal because there are different number of cats in each group.

Can you say that sentence with me? These groups are unequal because there are different number of cats in each group.

Excellent job.

Look at these groups carefully, what's the same and what's different? How are they different to the other examples of groups that we've just seen? Press pause in the video and have a little think.

Have you noticed that in each group there's a different type of animal? Can you name the animals in each of the groups? Let's go, there are some snails, rabbits, birds, cats and dogs.

Excellent.

Now, are these animals in equal or unequal groups? How could we look to see? Good, we can count them, I mean because we know that if they're the same number of animals in each group, then the groups are equal, but if there are a different number of animals in each group then they are in unequal groups.

Let's start by looking at the snail.

Can you count how many snails there are? How many snails did you see? Fantastic, five snails.

Let's write five so we don't forget.

Now let's look at the rabbits.

How many rabbits can you see? How many rabbits did you see? Four, brilliant.

Let's write four rabbits there.

Now let's look at the birds.

How many birds can you see? Fantastic, there are four birds, aren't they? Excellent.

Let's write four there.

How many cats can you see? Fantastic, there are three cats.

Let's write down three.

And how many dogs can you see? Super, there are two dogs.

So if there are five snails and four rabbits, four birds and three cats and two dogs, have the animals been put into equal or unequal groups? Fantastic, they are in unequal groups, aren't they? Because there is a different number of animals in each group, excellent.

Can you say the sentence with me, these groups are unequal because there are different number of animals in each group.

Brilliant.

Look at these groups carefully, are these groups of animals equal or unequal? What do you think? Does it matter that there are different types of animals in each group? No, that's right.

It doesn't matter, does it? What matters is the number of animals in each group.

If they're the same number of animals in each group then the groups are equal, but if there's a different number of animals in each group then the groups are unequal.

let's start by looking at our snails.

Can you count how many snails you can see? Fantastic, there are four.

I'm going to write four so I don't forget.

Let's have a look now at the rabbits.

How many rabbits can you see? Fantastic, there are four rabbits? How many birds can you see? Brilliant, there are four birds.

How many cats can you see? Fantastic, I can see four cats.

And how many dogs can you see? Brilliant, four dogs.

So if there are four snails, four rabbits, four birds, four cats and four dogs, does that mean that they are in equal groups or unequal groups? Super, the animals are in equal groups.

Brilliant.

We know that these animals are in equal groups because there are four animals in each group.

So there is the same number of animals in each group.

Can you say the sentence with me? These groups are equal because there were the same number of animals in each group.

Brilliant.

Last lesson I asked you to bring 12 identical objects and four plates to this lesson.

Could you press pause on the video now for me please and go and get your 12 identical objects and your four plates.

It doesn't matter what your objects are.

It might be some piece of the pasta, it might be some counters, it might be some grapes, it doesn't matter what it is.

I'm going to be using some little counters that I found.

And as long as your objects are identical, it doesn't matter which ones you've got.

Okay, excellent.

Have you got your objects and your plates ready? Super, now on the screen you can see three plates.

These are Jess's plates, Jess has 12 bricks and she's trying to put them into equal groups and she started, but then she got a little bit stuck.

Can we help Jess? Yeah, we definitely can, can't we? So have you got your 12 counters and your plates lined up just like mine? There they're.

Now you can see on the screen that Jess started to put her bricks into groups.

So I'm going to do the same as Jess and gets up to the same point.

Can you do the same with me? So we've got three in one group, I mean so you can see.

We've got three in another and she has three in this group.

Does yours look like mine? Press pause on the video and make sure that yours looks like mine and like Jess's on the screen.

Brilliant.

So Jess wants to put her bricks into equal groups, but she's not able to finish yet and we need to try and help her.

So how many bricks or counters or piece of pasta do you have leftover? Excellent, I've got three.

Do you have three? Super.

Can we put those into another group? So we have used all of our counters and don't have any left, I've used all 12 counters, but most importantly we need to check are they in equal groups? How many objects does there need to be in each group for them to be equal? Needs to be the same number, doesn't it? So let's check, how many do we have here? Three, three, three, and three.

There's the same number of objects in each group.

So they are equal.

Check yours.

Press pause on the video and count and check yours.

Excellent, did you have equal groups? Brilliant.

Now Jess wasn't doing this with actual bricks.

Jess was doing it as a drawing, so we need to help Jess finish her drawing.

What did we add on that Jess hasn't finished yet? We had one more plate, didn't we? And how many bricks does Jess need to put on that extra plate? Three cubes, doesn't she? Three bricks, fantastic.

Let's check look.

There we go.

Now let's check, let's check first of all that we've used 12 bricks because Jess had 12 bricks.

So let's count them.

One, two, three, four, five, six, seven, eight, nine, 10, 11, 12.

Brilliant.

There were 12 bricks.

Now the most important thing was that Jess wanted them to be in equal groups.

So let's count how many bricks there are in each group.

Can you help me? So there's three, brilliant.

The next group, three.

Super.

The next group, three.

Brilliant.

And the last group, three.

So there were three bricks in each group.

Therefore the groups must be equal.

Excellent.

Jess will be so happy that we've been able to help her, really a good job.

Jess was so pleased with how well we helped that she's asked for a little bit more help.

This time she wants to put her 12 bricks into unequal groups.

Do you think we can help her again? We definitely can, can't we? Super.

Can you clear your plates with the objects from before and line them all up again? Done yet? Just like mine.

Now this time we want to help Jess put them in to unequal groups.

So let's start just by doing exactly what Jess has done first of all.

So I can see she's got three bricks in one plate.

There's my plate.

I can see that she's got four bricks in another.

And I can see that she's got one there.

How many bricks pieces, pasta or counters doesn't matter what you're using, how many do you have leftover? That's my, I've got four.

Do you have four? Super.

So if I put these four into here, can you see my four there? There we go.

I've grouped all my bricks or I've grouped my counters.

Let's check, are they in on equal groups? Can you count along with me? Look at yours and count with me.

We've got three, four, one and four.

So there's a different number of bricks in each group.

That must mean that our groups are, are they equal or unequal? Actually they're unequal, aren't they? Because there's a different number of bricks in each group.

Fantastic.

Now Jess was doing it as a drawing again.

So we need to help Jess to finish off her drawing.

What do we need to add onto Jess's picture to help her finish it? We need to finish it by putting one more plate, don't we? And how many bricks were there? Four, fantastic.

There we go.

Let's just check that Jess's groups are unequal.

Let's count the number of bricks that we've got.

So she needs to have 12 let's check that she's got 12 first of all.

One, two, three, four, five, six, seven, eight, nine, 10, 11, 12.

Did you get 12 bricks too? Brilliant.

Now let's start by counting how many bricks are in each group.

Let's start at the first one.

There are three bricks, excellent.

The next one, how many bricks can you see? Four, super.

How many bricks were in the next group.

One, fantastic.

And how many bricks were in the next group? Four, lovely.

So there's a different number of bricks in each group, which means that the groups are unequal.

Brilliant.

You're getting so good at your equal and unequal groups.

Now we actually could have finished Jess's drawing in different ways.

We could have had more plates, couldn't we? Wouldn't need to put all four bricks onto one plate.

You could have done it in different ways.

And that can be something that you could practise with later on.

Well done.

Here's some cubes.

we're going to group the cubes into equal groups.

Let's have a go.

Remember, I want to put these cubes into equal groups.

Have I managed to do that? How do you know? Let's look, how many cubes are there in each group? Let's start by counting the top group, one, two, three, four, five.

There are five cubes in that group.

And how many cubes are there in the bottom group? Let's count them, one, two, three, four, five, five cubes in that group.

Excellent.

So if there are five cubes in each group, are my groups equal? They are, aren't they? Because there's the same number of cubes in each group.

Does it matter that I put different coloured cubes in each group? No it doesn't, does it? Because it doesn't matter the colour or the size of the objects, what matters is how many objects are in each group.

Fantastic.

Can you say this sentence with me, so there are five cubes in each group.

There are five cubes in each group, lovely.

These groups are equal because it's the same number of cubes in each group.

Your turn.

These groups are equal because they're the same number of cubes in each group.

Fantastic.

For your practise activity today, I would like you to explore putting objects into equal groups.

I'd like you to get 12 identical objects.

You might use the 12 objects from today's lesson, or you can choose some different ones.

It doesn't matter what your objects are.

There might be pencils, cupcakes, piece of pasta, bricks, and what I would like to do is explore different ways of putting these objects into equal groups.

You're just going to use your 12 items and find how many different ways you can put them into equal groups.

When you finish grouping your objects in one way, draw a picture of it to record it, and then finding another way.

See how many different ways you can find of putting your 12 objects into equal groups.

For next time please, could you bring with you 12 identical objects again, probably going to be easiest to use the same ones from today's lesson and four plates again.

You have done an amazing job today, looking at your equal and unequal groups.

Fantastic mathematics everybody, well done.