Lesson video

Hello there, everyone.

It's Mrs. Khaira, and it's Patch, my wonderful maths assistant.

Now for our lesson today, we're going to be using the guess and check strategy for problem solving.

I think that sounds really interesting, and I'm ready to begin.

I hope you are too.

Right, let's get cracking.

Now in this lesson, you will need the following items. You will need a template for the five houses, which were available in today's lesson resources, and you'll also need a selection of counters.

Now, if you don't have these items ready at the moment, please press the pause button, take a moment to collect what you need, find a quiet spot, and then resume the video.

Well, let's have a look at our big picture for this unit.

Can you remember which nursery rhyme it comes from? That's right.

It comes from Old Mother Hubbard.

Now we're going to sing the first five verses of the song today.

Do you think you can sing along with me? Get your singing voices ready.

Let's get going.

Old Mother Hubbard went to the cabin to fetch her poor doggy a bone.

But when she got there, the cupboard was bare, and so poor doggy had none.

She went to the baker's to buy him some bread, but when she came back, the poor doggy was dead.

She went to the joiner's to buy him a coffin, but when she came back, the poor doggie was laughing.

Silly Patch.

Let's see what happens next.

She took him at dish to fetch him some tripe.

But when she came back, he was smoking a pipe.

She went to the hatter's to buy him a hat.

But when she came back, he was feeding the cat.

What a strange set of events.

It seems that Patch has been up to no good when Old Mother Hubbard wasn't in the house.

Well, let's have a look at our big picture.

I wonder if you can help me to count some of the objects you can see.

Let's see what we're going to count first.

Ah, the chair legs.

How many chair legs can you see in the picture? I'll give you a moment to have a good look.

Right, let's see if you've got the same answer as me.

I wonder if you can use your careful counting finger to help me count.

Let's go now.

One, two, three, four, five, six, seven, and eight.

There are two chairs, and there are eight chair legs all together.

I wonder if you could help me represent those eight chair legs using some counters on a 10 frame.

Let's try now.

So here's my 10 frame.

I want to represent the eight chair legs using counters.

Help me count eight counters out.

One, two, three, four, five, six, seven, and eight.

These are my eight counters on the 10 frame.

They represent the eight chair legs.

Great work, everyone.

Let's have a look at what will count next.

Ah, the yellow spotted mugs.

How many spotted mugs can you see in the picture? I'll give you a moment to have a look now.

Well, I wonder if you've got the same answer as Patch and I have.

Let's count together using our careful counting fingers.

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

There are eight spotted mugs in the picture.

Can you help me to represent them using some cubes? Let's count eight cubes out together.

One, two, three, four, five, six, seven, and eight.

These are the eight cubes.

They represent the eight spotted mugs.

Now let's have a look at our new learning for today.

We're going to be solving a problem using the guess and check strategy to help us.

So let's see what we're going to do.

This is a street, and on this street, there are five houses.

One, two, three, four, and five.

And on the street we know for sure that there are eight people living there.

These are my eight counters.

They represent the eight people that live on the street.

Now, we've been given a clue.

We know that in each house, there is at least one person living there.

We need to try and guess to see how many people live in each house.

So let's use our counters to help us.

I'm going to start by taking five of my counters and putting one into each of the houses because I know at least one person lives there.

Let's do that now.

There we are.

Each of the five houses has one counter in it.

That represents one person.

How many counters do we have left over? That's right.

There are three counters left over.

That means there are still three people that we need to put into a house.

So, I'm going to take one of those counters, and I'm going to put it into the first house.

There we are.

We still have two counters left over.

So I am going to take one more counter and I'm going to put it into that second house.

Now, we have one counter left over.

That's one more person that we need to put into a house.

So let me take that counter.

I'm going to put it into the third house.

Now, shall we see how many people we have living in each house.

In the first house, there are two people living there.

In the second house, there are two people living there as well.

In the third house, I have two counters.

That means that there are two people living there.

In the fourth house, there is just one person living there.

And that's the same with the fifth house.

Only one person living there as well.

Remember, there might be more than one answer.

We could arrange the counters differently to show different numbers of people living in each house.

Right, well now it's your turn to have a go.

You are going to need the activity sheet with the five houses on it.

And this time you're going to need 10 counters because you are going to try and arrange 10 people into the five houses.

You're going to need the help of your talk partner for this activity.

So I've got Patch on hand to give me a helping hand.

So I'm going to go first.

I'm going to take my 10 counters, and I'm going to rearrange them into the houses like so.

Remember you need to have at least one person in each house.

So let's see if I can explain to Patch what I've done.

So Patch, in the first house, I have got two people living there.

That's because I put two counters into that property.

In house number two, there are also two people living there.

In the third house, I've got two counters, again.

That must mean that there are two people living there as well.

In house number four and in house number five, I have got two people living in both.

So can you see Patch, in all of my houses, I have got two people living in each one.

Once I've had a go, I'm going to remove the counters, and it's Patch's turn to try and rearrange the 10 people or the 10 counters into the houses.

Remember every house must have at least one person living there.

So when you're ready, press the pause button, get the resources that you need in front of you, and you and your talk partner have a go at the activity.

Once you're done, resume the video, and we'll carry on with today's learning.

Right, so let's move on learning on a little bit more.

So here are my five houses.

One, two, three, four, and five.

This time there are 14 people living in those five houses.

I am going to represent those 14 people using my counters.

Let's see if I've got the right number.

One, two, three, four, five, six, seven, eight, nine, 10, 11, 12, 13, and 14.

These represent my 14 people.

Now, the rules have changed slightly.

This time, every house must have two or three people living inside it.

So I am going to start by guessing how many people I think might be living in the five houses.

I'm going to guess that there are three people living in each house.

Hmm.

I wonder how I might find out whether I'm correct or not.

I know.

I can check by using my counters and moving them into each house.

So shall we say if I'm right or wrong? So I think there were three people living in each house.

Can you help me see if I'm correct? Let's start by putting three counters into the first house.

One, two, and three.

That works out alright.

How about moving three counters into the second house? One, two, and three.

It's going well so far.

How about moving three counters into house number three? One, two, and three.

Let's put three more counters into house number four.

One, two, and three.

Hmm.

Now can I put three counters into my last house? No.

How many counters do I have leftover? One and two.

So let's put them into house number five.

I still think that I am able to make this correct.

There are either two or three people living in each house.

So now it's your turn to have a go.

In a moment, you're going to pause the video and you're going to collect all the resources you need.

That will be 14 counters and the activity sheet, which is in today's lesson resources.

Once you've completed, there's an additional challenge sheet that you can try and attempt.

You have to come up with your own number of people to try and fit into five houses.

Once you've had to go to the activity, please resume the video, and we'll finish off with today's learning.

So here is another solution to the problem.

Let's see how many people are living in each house.

Perhaps you had a similar answer to the problem.

In the first house, there are one, two, and three people living there.

In the second house, there are three people living there, too.

In the third house, there are two people living there.

In the fourth house, there are three counters, so there are three people living there as well.

And it's the same with the fifth house.

There are three people living here as well.

Now, I wonder if you had a similar solution to the problem when you worked out the answer for yourself.

How many different ways did you find of organising the 14 people? Now in less lesson nine, we will be ordering and exploring numbers within 15.

Patch and I look forward to seeing you then.

It's bye for now.