Lesson video

Hi there.

My name is Mr. Tilstone.

I'm a teacher and I'm really happy to see you today and really happy to work with you on this lesson, which is all about fractions, and that's one of my favourite parts of maths.

Now I know that you are getting really good at fractions, so let's see if we can make you even better today.

If you are ready, let's do a countdown from five.

Ready? Five, four, three, two, one.

Let's begin.

The outcome of today's lesson is this.

I can find 1/2 of a number and write this as an equation.

And we've got some keywords.

If I say them, will you say them back? And see what you notice this time.

My turn, one-half, your turn.

My turn, 1/2, your turn.

Did you notice something there? Did you notice that I said 1/2 both times.

The first was 1/2 in words and the second 1/2 in numerals.

Our lesson is split into two parts.

The first will be find 1/2 by sharing and the second write equations that show 1/2 of a number.

So we're going to focus on halves today and I know you already know quite a lot about halves.

Let's start by finding 1/2 by sharing.

In this lesson, you're going to meet Laura and Andeep.

Have you met Laura and Andeep before? They're here today to give us a helping hand with the maths.

Laura and Andeep are sharing some strawberries for their break time snack.

Yum, yum, delicious.

And if you've got any strawberries or any kind of fruit really, you could do this activity too.

You could join in.

Let's start with this one strawberry.

There's only one strawberry so we need to cut it in half.

There we go.

That would be fair sharing, wouldn't it? That would be equal sharing.

I have divided it into 2 equal parts, says Andeep.

Each part is 1/2.

Here we go.

They each get 1/2.

We each have 1/2 of one strawberry.

Laura and Andeep are sharing some strawberries for their break time snack.

This time the bag has two strawberries.

We need to share them equally, says Laura.

Well that's nice and easy to do, isn't it? Andeep says, that I have divided them into 2 equal parts.

Each part is 1/2.

We each have 1/2 of two strawberries.

That means that 1/2 of 2 is 1.

The whole group of two strawberries has been divided into 2 equal parts.

There is 1 strawberry in each part.

You can say that half of 2 is equal to 1.

What can we see this time? This bag has 4 strawberries.

We need to share them equally.

One for you, one for you, one for you, one for you.

That's equal sharing.

They've each got the same amount.

Andeep says I have divided them into 2 equal parts.

Each part is 1/2 just like before.

And Laura says, we each have 1/2 of 4 strawberries.

What could we say? That means that half of 4 is 2.

The whole group of 4 strawberries has been divided into 2 equal parts.

There are 2 strawberries in each part.

You can say that 1/2 of 4 is equal to 2.

Do you think you're getting this? Let's do another one.

What's about now? How many strawberries this time? This bag has 6 strawberries.

We need to share them equally.

One for you, one for you, one for you, one for you, one for you, and one for you.

Andeep says I have divided them into 2 equal parts.

Each part is 1/2 just like before.

We each have 1/2 of 6 strawberries.

So what could we say? What's 1/2 of 6? That means that 1/2 of 6 is 3.

The whole group of 6 strawberries has been divided into 2 equal parts.

There are 3 strawberries in each part.

You can say that 1/2 of 6 is equal to 3.

Do you think you getting this? Shall we have a little bit of a check? Who's correct? Listen to what Laura says and listen to what Andeep says.

Laura says, the whole group of 8 strawberries has been divided into 2 equal parts.

There are 4 strawberries in each part.

Half of 8 is equal to 4, she says.

Andeep says the whole group of 4 strawberries have been divided into 2 equal parts.

There are 8 strawberries in each part.

Half of 4 is equal to 8, he says.

Hmm, one of those is right and one of those is wrong.

See if you can spot which is which.

Pause the video.

Who is right? Well the bag contains 8 strawberries.

So Andeep can't have been right.

He said the whole group was 4, it was 8.

Andeep and Laura each have 4 strawberries.

They don't each have 8 strawberries.

So half of 8 is equal to 4.

So Laura was correct.

Well done if you said Laura.

Now Laura Andeep are sharing some arts materials and you are going to do this yourself later on.

Andeep says there are 12 pencils in the pot.

Laura says if we share them into two equal groups, we will each have 1/2 or half.

Andeep says let's keep taking 1 each until all of the pencils have been shared.

That's a good way to share equally, isn't it? Let's do that.

So they're each taking one until all of those pencils are gone.

There we go.

Those pencils have been shared equally.

So there were 12 pencils initially in that part.

That whole group of 12 pencils has been divided into 2 equal parts and there are 6 pencils in each part.

You can say then that half of 12 is equal to 6.

Laura and Andeep continue sharing some art materials, this time some pens.

She says if we share them into 2 equal groups, we will each have half or 1/2.

And Andeep says, let's keep taking one each until all the pens have been shared.

Good idea.

Here we go.

Let's do that until they've all been shared and they have all been shared.

Now let's do a quick check.

How could you complete these sentences? So our stem sentence is this.

The whole group of, hmm, pens has been divided into, hmm, equal parts.

There are, hmm, pens in each part.

You can say that 1/2 of hmm, is equal to, hmm.

Okay, think carefully about that.

Practise that sentence.

Work with a partner if you can.

Pause the video.

Did you manage to complete that sentence? Let's have a look.

So the whole group of 10 pens that was a whole has been divided into how many equal parts? Two, two equal parts.

So there are how many pens in each part? Five.

You can say then that half of 10 is equal to 5.

Well done if you've got those right.

It's time for some practise.

I think you are ready for this.

Number one, use some of your own pencils or pens to finish these sentences.

So A, half of 8 is equal to what? B, half of 10 is equal to what? C, half of 12 is equal to what? D, half of 16 is equal to what? E, half of 20 is equal to what? And F, half of 24 is equal to what? So you're going to need by the end 24 pencils.

And Andeep has got a little reminder for you here.

Remember to find 1/2 by dividing the whole into 2 equal parts.

And number two, Andeep shared another part of pencils into 2 equal parts.

This picture shows 1/2 of his pencils.

So not all of them, but shows 1/2 of them.

How many pencils do you think were in the pot before he shared them? Hmm? Can you write or draw something to explain your thinking? Good luck with that.

I think you're going to be amazing and I will see you soon with some answers.

Pause the video.

How did you get on? Would you like some answers? So let's have a look at that first task.

Andeep says, I got 8 pencils and shared them into 2 equal parts.

There were 4 in each part, so I know that half of 8 is equal to 4.

And let's have a look at that.

You might have done something a bit like this.

Half of 8 is 4.

B, half of 10.

And Andeep says, I used pencils to solve the rest of these problems too.

Did you find half of each number correctly? Well, shall we find out? Let's have a look.

So B half of 10 is equal to 5.

C, half of 12 is equal to 6.

D, half of 16 is equal to 8.

E, half of 20 is equal to 10.

And F, 1/2 of 24 is equal to 12.

Well done if you've got those.

Number two, Andeep shared another pot of pencils into 2 equal parts.

The picture shows 1/2 of his pencils.

How many pencils do you think were in the pot before he shared them? So that's not the whole, that's the part, that's 1/2.

That must mean there's another equal size part.

Laura says, I know that 1/2 means a whole has been divided into 2 equal parts.

So I drew another part that's equal to the first part.

Did you do something like that? It's very clever.

Each part is equal to 1/2.

If 1/2 is equal to 7, the whole must be 14.

So there were 14 pencils in the pot before he shared them.

Well done if you've got that.

You're doing really, really well.

And I think you are ready for the next part of the lesson and that is writing equations that show 1/2 of a number.

Laura is looking again at the pens that they shared earlier.

So 10 pens.

The whole group of 10 pens has been divided into 2 equal parts.

There are 5 pens in each part.

You can say that half of 10 is equal to 5.

Would you agree? Are you happy with that? Now Andeep says, I wonder if there could be a quicker way of writing this.

Yes, I think there might be.

You can write an equation to show that you have found 1/2 of a number.

Laura says, I can say that 1/2 of 10 is equal to 5.

Andeep says I can write an equation like this.

So Andeep is going to save a little bit of time here.

Let's see what he does.

He writes it like this, 1/2 of 10 equals 5.

So he has used that equals symbol, very good.

Laura is thinking about the strawberries her and Andeep shared earlier.

Earlier we said that half of 8 is equal to 4.

And Andeep says I could write an equation like this.

Do you think you could? What's he going to put do you think? Could you use that equality symbol? Let's have a look.

Yes, what about this? 1/2 of 8 equals 4.

That saves time.

Let's have a little check.

Match the pictures, sentences, and equations.

So you've got some pictures there.

Those pictures, ones of pencils, ones of strawberries.

And we've got some sentences, let's read those.

The whole group of 12 has been divided into 2 equal parts.

There are 6 in each part.

And the other sentence says the whole group of 6 has been divided into 2 equal parts.

There are 3 in each part.

And then we've got two equations.

One says half of 6 equals 3.

One says half of 12 equals 6.

So which goes with which? Pause the video and have a good think about that.

Did you manage to match them up? Let's have a look.

So the pencils have been divided into two equal groups.

Each one is half.

And the strawberries have been divided into 2 equal groups.

Each group is half.

And they're matched up like this.

So here's the pencils.

The whole group of 12 because there's 12 in the pot to start with, has been divided into 2 equal parts.

There are 6 in each part and we can write that as an equation.

1/2 of 12 equals 6.

And the other one is the strawberries.

The whole group of 6 because there were 6 in the bag initially has been divided into 2 equal parts and there are 3 in each part.

And the equation for that is 1/2 of 6 equals 3.

Laura and Andeep are going to practise writing equations that show 1/2 of a number.

Laura says I could write an equation for 1/2 of 14 like this.

What could she write? What do you think she's going to write here? 1/2 of 14 equals 7.

She's using the equality symbol.

Andeep says, I think you could also write it like this.

7 equals 1/2 of 14.

Is he right? Would you agree? He is right.

Laura and Andeep have made a list of some of the equations they have written so far.

So we've got half of 4 equals 2.

We could rearrange that and say 2 equals half of 4.

1/2 of 8 equals 4 could be rearranged.

We could say 4 equals 1/2 of 8.

1/2 of 10 equals 5 could be rearranged.

We could say 5 equals 1/2 of 10.

And 1/2 of 12 equals 6 could be rearranged.

We could say 6 equals 1/2 of 12.

Laura says, I have a challenge for you Andeep.

Oh, I like a challenge.

I'm going to choose an equation and cover one part.

You have to say what is covered.

Oh, I think we're going to enjoy this.

Let's have a look.

Andeep says, okay, I'm ready to start.

Are you ready too? Let's go.

Andeep tries Laura's first challenge.

So she's covered part of her equation.

So it's something equals half of 12.

Something is equal to 1/2 of 12 says Andeep.

If I had 12 pencils and I divided them into 2 equal parts, there would be 6 in each part.

There we go.

So I think you've covered a 6 because 6 is equal to half of 12.

Yes, fantastic.

So just as half of 12 equals 6, 6 equals half of 12.

Well done says Laura, you are right.

Okay, this is a good game, I like this.

Let's do another round.

Laura gives the next challenge to Andeep.

Half of something equals 4.

Shall we investigate? Andeep says, I can see the number 4 and the fraction 1/2.

I know that 1/2 of 4 is equal to 2.

If I wrote 2 in this equation, would it be correct? Could it be 1/2 of 2 is equal to 4? Hmm, what do you think? Does that sound right? No, that's not right.

I could use the sweets to help me.

The whole group of 8 sweets has been divided into 2 equal parts and there are 4 in each part.

I think you've covered an 8 he says, because 1/2 of 8 is equal to 4.

So this time the whole was covered.

1/2 of 8 equals 4.

Well done says Laura, you're right.

Let's do a check.

Now Laura is giving you the challenge.

What digits have been covered this time? So we've got half of 10 equals something and something equals half of 4.

Can you see what those numbers are that have been covered up? Pause the video, have a go.

Let's have a look.

Let's give you some answers.

Let's see if you've got the right answers.

You could use objects such as pens or strawberries or anything really count as anything to help you.

You need to share them into 2 equal groups like this.

So let's say pens, where you've got 10 pens shared into 2 equal groups and one of those groups has got 5 in.

So 1/2 of 10 equals 5.

And then what about the strawberries? 1/2 of 4 equals 2 or 2 equals 1/2 of 4.

It's the same equation but rearranged.

I think you are ready for some final practise.

What do you think? Number one, match the pictures to the equations.

So look very carefully.

And match them to the correct equations.

Number two, use some objects of your own to help you complete these equations.

And they can be any object you like such as pencils or counters or anything like that.

And Andeep says, what other numbers could you find 1/2 of? Can you write the equation for them? So just keep going, keep practising.

Okay, pause the video, have fun with that, and I'll see you shortly for some feedback.

Welcome back.

How did you get on? Are you becoming an expert at writing equations for fractions? Number one, match the pictures to the equations.

Well this one is showing that 4 equals 1/2 of 8.

This one is showing that 1/2 of 6 equals 3.

This one is showing that 2 equals 1/2 of 4.

And finally this one is showing that half of 2 equals 1.

And number two, use some objects of your own to help you complete these equations.

What did you use? Counters, pencils? Andeep used cubes.

That's a good idea.

So here were his cubes.

So he is looking to find 1/2 of 6.

So he got 6 cubes out.

He got his whole.

And he divided his whole into 2 equal parts.

The whole group of 6 has been divided into 2 equal parts and there are 3 in each.

That means that 3 is equal to 1/2 of 6.

So for A, 1/2 of 6 equals 3.

And for B, 3 equals 1/2 of 6.

They're the same equation but rearranged.

I used cubes again in the same way to complete the rest of the equations.

So for C, 1/2 of 18 equals 9.

For D, 9 equals 1/2 of 18.

And for E, 1/2 of 22 equals 11.

So therefore, 11 equals 1/2 of 22.

So when we knew the first part, we knew the second part too.

It was the same equation but rearranged.

And Laura says, I also used cubes to help me write this equation.

1/2 of 14 equals 7.

What other equations did you write I wonder? How far did you go? We've come to the end of the lesson and it's been great, but I hope you've enjoyed it too because I definitely have.

Today we've been finding 1/2 of a number.

When the whole has been divided into 2 equal parts, each part is 1/2 or half.

You can find half of a number using that number of objects.

You can share the objects into 2 equal parts.

That's what halving is.

The number in one part is equal to 1/2 of the number.

You can write 1/2 of a number as an equation and you've been practising doing that.

So the whole group of 8 pencils has been divided into 2 equal parts and there are 4 in each part.

As an equation, well, we've got two possibilities.

We could say 1/2 of 8 equals 4, or we could say 4 equals 1/2 of 8.

I hope you are very proud of yourself today in your accomplishments and your achievements because you have been brilliant.

Right, what can we do to celebrate? How about a little pat on the back? You deserve it.

I hope I get the chance to spend another maths lesson with you in the near future because this has been great fun and I can't wait to do it again.

In the meantime, have a great day, work really hard, and succeed just like you have in today's lesson.

Take care and goodbye.