Lesson video

Hello, I'm Miss Mia, and I'm so excited to be a part of your learning journey today.

I hope you enjoy this lesson as much as I do.

So in this lesson, you are going to be describing how objects have been grouped.

Your key words are on the screen now, and I'd like you to repeat them after me.

Group, grouped.

Equal.

Fantastic.

Let's move on.

Now, this lesson is all about how objects have been grouped.

And there are two lesson cycles in this lesson.

Our first lesson cycle is all about grouped objects.

We then are going to move on to using different representations to show groups.

Let's begin.

And in our mathematical journey, we will be having Alex and Jacob join us.

So, Alex and Jacob are helping Mrs. Hopper set up for their class party.

Jacob says, "Yummy! Let's put them on the plates." So he begins doing this.

Now I'm going to skip count how many there are.

That's a good suggestion, Jacob.

Jacob begins to count.

Hang on.

I know another way to describe this amount.

How many equal groups are there? Well, there are three equal groups of cake.

And how many slices of cake are there in each group? There are two slices of cake in each group.

So you can describe this as three equal groups of two.

So there are three equal groups of two slices of cake.

Oh, that is awesome.

So that is another way we can describe groups.

So over to you.

How many equal groups are there? You can pause the video here.

So, what did you get? Well, there are four equal groups of two slices of cake.

Now Mrs. Hopper has arranged some dessert plates.

She asks Jacob to count how many there are altogether.

Oh, Jacob says that that is a lot of cupcakes and he'll probably be there for a while counting all of them.

He says he's going count on to see how many there are.

Hmm.

Jacob begins to count.

Hang on.

We can use our knowledge of groups to help us again.

And I think that's quicker, to be honest.

So how many equal groups are there? Well, there are four equal groups of cupcakes.

And how many cupcakes are there in each group? There are, hmm equal groups of, hmm hmm.

Let's try filling in that sentence then together.

So there are four equal groups of three cupcakes.

So you can describe this as four equal groups of three.

Ah, now that is awesome, Jacob says.

What I'd like you to do is gather some pencils or any other items that you have on your table, and I'd like you to show three equal groups of two.

And whilst you do this, I'd like you to also say the sentence then that you see below.

So there are hmm equal groups of hmm pencils.

You can pause the video here.

Off you go.

So how did you do? Here are some examples.

There are three equal groups of two pencils.

Or you may have also arranged them like this.

Again, there are three equal groups of two pencils, or you may have arranged them like this.

And again, it shows three equal groups of two pencils.

Have a look at the image that you see on the screen now, what's the same and what's different? Well, there are six desserts altogether.

Now the groups are different and the amount in each group are different.

So here we've got two groups of three desserts.

Now here we've got three groups of two desserts.

Now what's the same between all three is that between the groups, is that there are six desserts altogether.

They've just been arranged in different ways.

Now Jacob and Alex have arranged their own plates of dessert.

Oh, that looks really yummy.

So Jacob says there are five groups of two.

Do you agree with this? I'd like you to explain your thinking to your partner.

Well actually, Alex says there are two equal groups of desserts, not five.

And there are five desserts in each group.

So Jacob has mixed up the numbers there.

He's got the groupings wrong.

We can see that there are two groups, not five.

So there are two groups of five desserts on each plate.

Over to you.

True or false? There are three groups of two.

And how do you know? And I'd like you to complete the sentence stem as well.

So is it true or false? Well, it's false.

And that's because there are two equal groups of three cupcakes.

Okay, let's move on.

Jacob and Alex have arranged two more dessert plates.

Jacob says there are two groups of three.

Do you agree? I'd like you to explain your thinking to your partner.

Oh, well.

So Alex says that this shows an unequal amount of desserts, Jacob.

The first plate actually shows one group of three desserts, and the second plate shows that there's one group of two desserts.

What's changed here? Well, our chocolate cake has been taken off, which means it has been removed, or maybe Jacob ate it.

But the point here is that the groups are unequal.

So there are five desserts altogether.

How can you make Jacob's statement true? So if he's saying that there are two groups of three, what could you do? Hmm.

I'd like you to explain your thinking to your partner.

Well, you can add one more dessert to the second plate.

So whoever stole it, they need to give it back.

Let's move on.

How can you make Jacob's statement true? I'd like you to explain your thinking to your partner.

So there are two groups of two desserts.

You could pause the video here.

So how did you do? Well, you can remove one dessert from the second plate.

Fantastic.

So now you have two groups of two desserts.

You have an equal amount in each group.

Onto the main task for this lesson cycle.

Question one, you are going to be using items from your classroom.

For example, could be pencils, erasers, counters, or cubes to show two groups of three, three groups of three, or four groups of two.

And complete the sentence then as you are showing those groups.

So there are hmm equal groups of hmm, and whatever item you chose.

So it doesn't have to be pencils.

Do remember that they have to show equal groups.

And for question two, I'd like you to fill in the blanks.

So for the first one, there are hmm, equal groups of party hats.

There are, hats in each group, and there are, groups of.

Secondly, there are equal groups of cake.

There are cake slices in each group.

And there are groups of.

And lastly, we've got sandwiches.

So there are equal groups of sandwiches.

There are sandwiches in each group, and there are groups of.

And for question three, Jacob and Alex have different packs of balloons ready to blow up for Izzy's party.

I'd like you to complete their drawings.

So Jacob says he has two groups of three balloons.

Alex says he has three groups of three balloons.

And lastly, Izzy says she's got three groups of four balloons.

And for question four, Jacob and Alex collect figurines.

They place them on shelves.

Are Alex's and Jacob's statements true or false? Why or why not? So Jacob says, I have four groups of two figurines.

Alex says he's got three groups of three figurines.

You can pause the video here and click play when you're ready to rejoin us.

So how did you do? Well for question one, you may have grouped something like this.

So for two groups of three, there are two equal groups of three pencils.

For three groups of three, there are three equal groups of three sharpeners.

And lastly, for four groups of two, there are four equal groups of two erasers.

Well done if you managed to show equal groups using different items. Now for question two, this is what you should have got.

So there are two equal groups of party hats, and we know they're equal because there's the same number of party hats in each group.

So there are five party hats in each group.

There are two groups of five.

Let's move on to the second one.

There are three equal groups of cake.

There are two cake slices in each group.

And there are three groups of two.

And lastly, there are three equal groups of sandwiches.

There are three sandwiches in each group, and there are three groups of three sandwiches.

So for question three, this is what you should have got.

So, Jacob shows two groups of three balloons there.

Alex has three groups of three balloons.

And I know that's correct because there are three balloons in each group, and there are three groups.

And lastly, Izzy has three groups of four balloons.

And I know that's correct because there are four balloons in each group and there are three groups of balloons.

And for question four, this is what you should have got.

Well, we know that Jacob is incorrect because he's got the number of groups wrong.

There are in fact two groups of four figurines and not four groups of two.

Alex is also incorrect.

He has one group of four figurines, then he's got one group of three figurines and then one group of one figurine.

So he has seven figurines altogether.

They show unequal groups.

Now let's move on to our second lesson cycle.

And this is about different representations.

The representation we will be looking at is the bar model to show equal groups.

So let's get started.

Now Mrs. Hopper asks Alex to organise some of the party hats he was organising during the party.

So he's organising them like this.

So we can use cubes to represent the amount of groups.

So this is one way of representing groups.

So we can have three cubes there and three cubes there to represent the two different groups of three.

Now, from this, we can actually use a bar model to represent the amount of groups.

So I'll start off by drawing my bar.

And because I've got two groups, I'm going to show this on my bar model by splitting it in half.

So I've got two groups of three.

Each bar represents the number of hats.

The bar shows that there are two groups.

That is two groups of three party hats.

And our bar model also shows the equal groups because there are three hats in each group.

Now Jacob helps to organise the gift boxes.

So he's got two there, two there, and two there.

Now again, you can use cubes to represent the amount of groups.

So we can place two cubes there, two cubes there, and two cubes there.

Now you can use a bar model to represent the amount of groups.

So here we are, I've got a bar model and I've shown that there are three groups because I've split my bar model into three equal groups.

And within that there are two gift boxes.

So the bars represent the number of gift boxes.

The bar shows that there are three groups.

So that is three groups of two gift boxes.

Over to you.

What I'd like you to do is gather some pencils and I want you to show two groups of four.

You're going to represent this using a bar model.

Now it doesn't have to be perfect, as long as you show two groups of four.

You can pause the video here.

So you may have got something like this.

You may have organised your pencils into two groups of four.

So each, so you should have had two groups with four pencils in each group.

Alex has represented the groups of cupcakes using a bar model.

Is he correct? I'd like you to explain your thinking to your partner.

Well, I'm having a look at this.

I can see that some of it is correct, but let's look a little bit more deeper into what's happened here.

There are four groups, and I can see that's been represented by the bars, but there are two cupcakes in each group.

So each bar represents one group.

So there needs to be two in each bar, not four.

So that is the correct way to represent the amount of groups using the bar model.

Let's move on.

Alex has been given a bar model.

This shows the amount of lollipops on each plate.

He uses this information to represent it as a drawing.

So he's drawn the groups, then he's drawn the lollipops in each group.

Is he correct? I'd like you to explain your thinking to your partner.

Well, you may have said something like this.

There are four groups, but there are five lollipops in each group.

So what Alex needed to do was actually draw five lollipops in each group.

Not one.

Because he actually represented four groups of one and not four groups of five.

Over to you.

There's an image.

What I'd like you to do is draw a bar model to represent the equal groups of gift boxes.

You can pause the video here.

So what did you get? Well, this is what you should have got.

The bar model shows four equal groups of four gift boxes.

So there should have been four bars, and each bar would've had four gift boxes.

Onto the main task for your lesson cycle.

So for the first question, you are going to match the groups to the correct representation.

So you've got two groups of four, you've got three groups of five, four groups of six, four groups of four and five groups of three.

And there's different groups of different items in each group.

So think carefully as to which groupings match to the correct groupings.

Question two, complete the representations.

So you've got the first part, which is the sentence, and you've got an example there, three groups of four.

Then you've got the bar model section, for which you'll have to draw a bar model in.

And lastly, a drawing of that.

So if I were you, I would start off with three groups of four.

What would that look like as a bar model, and how could you represent that as a drawing? And then when it comes to the second part, look at the bar model.

What would that look like as a drawing? And then what would that look like as a sentence? And for the last one, have a look at the drawing.

What would that look like as a bar model? And how would you say that? You can pause the video here and click play when you're ready to rejoin us.

So how did you do? Well for question one, this is what you should have got.

So two groups of four, well, you should have matched that to two groups of four balloons.

For three groups of five, you should have matched that to three groups of five slices of pizza.

For four groups of six.

You should have matched that to four groups of six sandwiches.

For four groups of four, you should have matched that to four groups of four slices of cake.

And lastly, for five groups of three, you should have matched that to five groups of three party hats.

Well done if you managed to match those correctly.

For question two, this is what you should have got.

So three groups of four could have been represented like this as your bar model.

So we've got three bars with a value of each bar being four.

And the drawing, you should have had three groups of four balloons, for example, you could have had three groups of four cubes, if that made it easier for you to draw.

And then the bar model, you had four groups of three.

So again, you could have represented that as four groups of three balloons as your drawing.

And the sentence that you would've said to represent that is four groups of three.

And lastly, the drawing was of four groups of four balloons.

So your sentence would've been four groups of four, and your bar model would've shown four bars, each with a value of four, because there are four balloons in each group.

Well done if you managed to represent those groupings using the bar model, a drawing, and by saying the sentence out loud.

I'm super proud of you.

Well done.

So we've made it to the end of this lesson.

You can now describe how objects have been grouped.

So you should now understand that items can be put into groups.

Groups can be represented in different ways such as bar models.

Thank you for joining me in this lesson and I can't wait to see you in the next one.

Bye.