# Lesson video

In progress...

Hello everybody, it's Miss Sidhu here.

We've got some great maths to do today and I'll need your help today too.

Now let's get started.

Today, we're going to be exploring arrays.

So in today's lesson, we will explore arrays.

And we're also going to be representing the same equal groups in rows and columns.

In today's lesson, it's lesson nine.

For the topic of multiplication and division, you will need a paper and a pencil.

There are times when you will have to pause the video to have a go at some of the activities yourself.

We are going to be looking at some of the key vocabulary, that means, our star words, exploring arrays, representing equal groups in an array, identifying the groups in an array, an independent task and answers, and finally a quiz to see everything that we have learnt.

♪ Star words, star words ♪ Equal groups, array, row, a row, runs from left to right.

Column, a column runs up and down the height.

So row left to right, column up and down the height.

Oh, today we're going to begin with our brainteaser.

Let's train our brain.

I want you to represent the numbers in the sequence and then fill in the missing numbers.

♪ Pause and freeze, macaroni cheese ♪ How did you get on? Were you able to find the missing numbers? Can you shout them out? So let's start with the first sequence.

It's got 16, 26, 36.

I know that the numbers are going forwards and they're going up by 10.

So the first number must be, can you shout it out? 46.

Let's do the sequence.

16, 26, 36, 46, 56, then? 66, 76.

Good job.

Can you help me with the next sequence? 45, 40, oh, I know that the numbers are going backwards and they're going by fives.

So we've got 45, 40, 35, 30, 25, 20, and, can you shout it out? Oh, I can't hear you, can you shout it even louder, what's the next number? 15, well, already, you're such a great mathematician today.

Now, let's have a look at what we've got next.

Here, we have the Sunday market again.

We've got lots of different things in the market.

Can you point to the trumpets? Can you point to the boots? Can you point to the bear? What's he buying? Let's ask him, let's say hello to Spencer.

Hello, I am buying some apples, but the apples are too messy.

Can you help me to make them nice and neat? Hmm, I think we can make them nice and neat.

I think we can help him.

So the apple seller sells lots of nice juicy, juicy apples, needs our help.

The apple seller needs help with arranging all of the apples on her store.

She wants to easily see how many apples she's going to have, but she needs them in a nice, neat row and column on her store.

I think we're able to do that, are you? Here, we've got our apples.

Now this time, the apple seller wants us to arrange the apples into two groups of six.

Now, let's put the apples into rows of six.

Now, each row represents the group.

It represents equal groups.

Now let's count out six apples at a time to put them in a row.

Remember we want rows of six, so let's count six.

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

Now let's grab those six apples and put them in a row of six.

Super, now, can you help me count the next six.

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

Let's put them in a row of six.

Let's grab them and put them in a row of six.

Good job, we've put them in rows of six.

Now, how many apples are there all together? I can see you're already counting.

Well, some of you are counting super fast.

Once you've got your answer, how many apples are there all together? I want you to shout out at the screen.

Well, can you say it nice and loud and make sure it's in a sentence.

Super, there are 12 apples all together.

This time, there are two groups of six apples and we've got it in a part-whole model.

Each row of apples shows a group of six.

So we know that there are 12 apples all together.

Now, I'm going to arrange the same apples into a new array.

Now this time, instead of rows, left to right, we're going to use columns that go up and down.

So I'm going to arrange the same apples into a new array.

Let's arrange the apples in columns of? Let's do it again.

Of six.

Now we need to count the apples first.

We need to count six apples.

Let's count, one, two, three, four, five, six.

Now let's grab the six apples and let's put them in a nice, neat column.

There we go.

Let's count the next six.

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

Let's grab the six apples and put them in a nice, neat column of six.

Good job.

How many apples are there all together? I can see lots of you counting.

So how many apples are there all together? Super, there are 12 apples.

Let's have a look.

There are two groups of the six apples, and each column shows a group of six.

So the whole is 12, there are 12 apples all together and the parts are six and six.

You're doing some super good work today.

There we have our two groups of six.

Here, I have shown the equal groups in rows from left to right, I've made two rows of six or two groups of six.

The whole is 12, and the two parts are six and six.

Here, I've shown the equal groups in columns, going up and down.

I have made two columns of six and two equal groups of six are equal to 12.

What do you notice about both of the arrays? Yeah, they're both equal to the same amount.

The whole is 12.

I think you're ready to match the correct equal group to the array.

Like we've just been doing, here, we've got four groups of two, five groups of three, and four groups of three.

Make sure you count carefully and thinking about all of the groups.

I want you to pause, I want you to count.

How did we do? Now, let's begin with, four groups of two.

Can you point to the array that it matches with? Remember we've got it in rows and columns.

So four groups of two, well done.

Now let's do five groups of three, can you point to it? Oh, that was super fast.

Five groups of three.

Now, can you do the next one? Four groups of three.

Well, that was super fast.

You've done so well today and I'm so proud of you.

Let's give ourselves a big wish.

Wish.

Now, I think we're ready for the next problem.

What can we say about these apples? How many groups are there? How many apples are there in each group? Hmm, I want you just to have a quick think and then, can you shout it out? So how many groups are there? And how many apples are there in each group? I heard lots of you say that there's different groups.

I heard someone say, that there're three groups.

Hmm, I heard someone say there're six groups with two apples in each group, and two groups with six apples in each group.

Hmm, so I know you can show the groups with columns or rows and we need to make sure all the groups are equal in each group there needs to be the same amount.

So even with the columns or the rows.

Now, let's explore this further just to make sure that we're getting it right.

Here, there are 12 apples all together, there are six columns, each column has two apples.

So there're six columns or six groups.

Let's count six groups with two apples.

So one group of two, two groups of two, three groups of two, four groups of two, five groups of two, six groups of two.

Wow, lots of groups.

Now let's look at the bottom array.

There are 12 apples all together.

So this is the same amount.

But this time, there are two rows.

Each row has six apples.

So there are six apples in each group and there are two groups.

Let's count each group.

So one group of six, two groups of six.

Ah, so we've noticed that you can use columns or rows to do the groups, and sometimes you can swap them round as well.

Here's an example that I did, of what you will be doing in your independent task.

Today, we are going to be exploring arrays by making the same total, in different arrays.

Like we've just done.

I want you to draw the arrays.

You could ring the rows and columns to show the groups.

So like I've done here, we've got two groups of five.

So there's my two groups, so we've got one group of five, two groups of five.

And now we've got five groups of two.

Let's count all the groups of two.

So one group of two, two groups of two, I hope you're pointing.

Three groups of two, four groups of two, five groups of two.

This time, instead of the apples, I've drawn the stars.

You might choose something different to use.

You might draw hearts, you might draw flowers, you might even draw a smiley face for the arrays.

I have drawn the arrays.

So we've got our two groups of five, and our five groups of two.

But with arrays, we can move them this way, so we've got the columns instead of the rows.

And here I've changed the rows to columns.

And it's still the same, that's still five groups of two.

And that's still two groups of five, or I can change it back to this way.

And that is still five groups of two and two groups of five.

So it's up to you how you draw the arrays, but making sure you count the groups.

Now, your task is to find three groups of four and four groups of three.

Remembering you can draw them like this, drawing your groups.

Remember, and you can turn it around as well like this.

So you'll have your columns and rows.