Lesson video

Hello everyone, I'm Mrs Crane and welcome to today's lesson.

Today's lesson is part of the unit on multiplication and division and today's objective is to look at, Division facts for the multiplication table of four.

For this lesson you'll need a pencil and some paper, Please pause the video to go and get these things if you haven't gotten them already.

Okay then let's get started, what I'll start with a bit of a riddle.

What has a neck, but no head? What has a neck, but no head? Well done to those of you that guessed it correctly.

It is in fact a bottle, you can have a bottle with a neck, but it doesn't have a head.

I thought I just use a picture of a giraffe, because giraffes have a very long necks.

Let's get started then, so our agenda for the lesson, we're going to look at learning the division facts, for the multiplication table of four.

So we'll start off with a quiz to test your knowledge, Then we'll look at star words, then we are going to use part-whole models and arrays, to help us solve division equations, and have a chance to do the talk task and develop our understanding of the different ways, an array can be arranged and the different division equations that they can produce.

Then we'll look at the independent tasks and review answers together, and finally there'll be a quiz to see what you've remembered.

Please pause the video now to complete your start to quiz.

Okay welcome back, let have a go at star words, we're going to do my turn, your turn with the star words Share, divide, equal, part, whole, groups brilliant.

Let's get started then, let's start with our new learning, so we've got a question.

Every jar can hold for biscuits.

How many jars do we need? Well, here's our jar and here is our biscuits, we don't even know how many biscuits we've got here.

So let's count the biscuits all together, count with me one, two, three, four, five, six, seven, eight, nine, 10, 11, and 12.

So we have 12 biscuits and each jar can hold four, we need to know how many jars, we will need in total.

So let's group them, I've group them into one group of four, two groups of four, three groups of four.

So we think we're going to need three jars, to hold four biscuits each.

Let's have a look at how a whole-model, is going to represent this in a part whole-model, and then we need to have to think about what equation we could write this represents? So, here's our part whole-model, we've got our biscuits here, we know that each jar can hold four biscuits.

So, our division equation can be 12 divided by four is equal to, and then we need to see how many, its about 12 here we go, is that 12? We've divided them into groups of four, and we've had one, two, three groups, just like we had before when we grouped them into fours.

So we have 12 divided by four is equal to this three groups, or we could say 12 divided into three jars gives us four, because in each jar there is four biscuits.

So you can write it either way around.

Have a look then at our second question.

There was 20 eggs and four nests.

Each nest has an equal amount of eggs.

How many eggs are in each nest? So here we can see, there are 20 eggs, her are our four nests, we need to group our eggs together, into our nests an equally, while I count how many eggs go into each one.

How could we present this on our part whole model then? Let's have a thing, let's have a look.

So, before we look at how we present it, let's look at what happens, when we put our eggs into our nest.

We've got four nest, we've got equal groups, and we got equal groups of five eggs, one, two, three, four, five, let's count in our five's and till we get to 20 to check that we've done it equally.

Five, 10, 15, 20.

That works doesn't it? We've got five groups of, four groups sorry one, two, three, four, all five in each.

Let's think about how it looks in our part whole model then.

In total we knew we had 20 eggs, we knew we had four nest, that each nest had five in it, but our equation would look like this.

We could say 20 divided by four is equal to five, because in each nest, we know there's four of them, there are five eggs, or, we could say 20 divided by five, because each group of eggs is a group of five, is equal to four, because they fit equally in with four nest.

Right then, it's time to look at today's talk task.

Your talk tasks today, you've got a part whole model here, and you've got two questions here.

I'd like you to read the questions really carefully, and have a go at drawing this out onto a paper, and then drawing in, the different hitches.

So the first time you to draw in your stamps, and divide them equally, the second time you need to draw in your pilots, and then divide them equally, it doesn't have to be brilliant drawings, you just sketch it there.

Then, I want you to have a think about, if you can work out, what division equations you can see from here.

And if there are any other equations you can use, from that question.

Remember there is a say it out loud, you can use, I have to divide, into, parts where the value of.

There are, parts in the Whole.

Each part has a value of, divided by, is equal to.

Pause the video now to have a go at today's talk task.

Okay, let's have a look then, we're going to look at the first question together.

So, there are eight stamps, divide them into four equal groups, here are four groups.

What division equations can you say, are there any other different equations you can say? So, let us double check and count our stamps, we've got one, two, three, four, five, six, seven, eight.

Yup, and our groups.

One, two, three, four groups, Let's divided equally then.

So I'm going to put two here, two here, here and two here.

Let's count in our two's, all times in the chat, two, four, six, eight.

That works with equation of dividing them.

So we could say, sorry.

We could say eight divided by four is equal to two.

Or we could say eight divided by two is equal to four, one, two, three, four.

Let's have a look then at today's develop learning.

Every jar can hold three biscuits.

How many jars do we need? What division equation could we write for this? So let's count the biscuits to double check.

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

So we have 12, and we know that each jar can hold three, So we could do 12 divided by three is equal to, we don't know the answer.

But here we've got our equation, let's work out how we're going to answer it then.

So we know that each jar can only hold three, so we do three, six, nine, 12.

How many jars did we need? Well done we needed four jars, each holding three, So our answer would be four.

Let's have a look then at what's the same, and what's different between the question we just answered, and the question we answered a little earlier in our new learning.

So, we each have 12 biscuits each time, so our whole hasn't changed.

We have 12 biscuits here and 12 biscuits here.

Firstly our jars could hold four biscuits, and secondly our jars could hold three biscuits, from the same whole, but we've split them in different ways.

This time we had three groups with four and each of them.

So we had three jars with four biscuits in each, whereas this time, we had four jars and three biscuits in each.

So there's things that are similar, and things that are different between these two equations.

Now we're going to look at how they would look in an array.

So imagine these are our biscuits, we've lined them all up, we've taken them out of the jars.

We've grouped them here, with one, two, three groups with four going across.

Or you could say, and imagine we've grouped our biscuits, with one, two, three groups across, with four in each.

So here we've got, our four jars, so you imagine this is one jar, this is two jars, this three jars, representing our four biscuits, in each jar.

Whereas here we have our three, in each jar, but we have it one, two, three, four times.

So again it's the same equation, but being shown differently, we've grouped them differently.

We look at what the biscuits would look like together.

Again you can see here in like kind of peachy brown colour, the groups that represent our jars, where we've got four biscuits in each, and here in the Cyprus blue colour, the groups that represent our jars, that have three biscuits in each.

Now let's have a look at you're independent task.

Your independent test today says, completely the equations that each array represents.

You've got three questions here, with missing numbers in them.

And the fourth question you've got two missing equations.

You need to workout which numbers would go here.

Remember use the arrays to help you.

Please pause the video now to complete your task.

Okay welcome back everyone, Let's have a look then at the answer.

So we're going to start with 20 divided by four, So, we know here this is going to represent 20.

We know here one, two, three, four.

So let's see what answer would be, One, two, three, four, five, the 20 divided by four would equal 20 divided by five.

20 divided by five therefore would equal, one, two, three, four, the answered would be four.

This time we put 36 here, divided by something gives us nine.

Now I think this is going to be, one, two, three, four, five, six, seven, eight, nine.

And it's divided by one, two, three, four.

So my missing number would be four.

This time I've got 36 divided by something is equal to four, but I know that number has to be nine.

The math is nine.

This time something divided by four is equal to 10, but hey, I need to do four times 10 which gives me 40, 40 divided by four here, is going to give me 10.

Something divided by 10 is equal to four, that has to be 40, because I know 40 divided by 10 here, gives me four here.

Now I need to look closely here, and see what my array is showing.

One, two, three, four.

And one, two, three, four, five, six, I know that five and six, four sorry and six are going to help me.

So I know that four times six is 24, so I know there's 24 dots there.

So if I do 24, divided by six is going to equal four.

So four here.

And if I did 24 divided by four, I know it gives me one, two, three, four, five, six there.

If I do 24 divided by four is equal to six.

Well done for all your hard work today everybody, I've been really, really impressed.

Please pause the video now to go and answer, the final few questions, and hopefully I'll see you again soon.

Thank you and goodbye.