Lesson video

Hello there, it's great to see you today.

My name is Mr. Tilstone.

We've got a really fun maths lesson in store today.

Have you ever played the game, Simon Says? Well, that's one of the things we're going to be doing today.

It's going to be fun, so if you're ready, I'm ready.

Let's begin.

The outcome of today's lesson is this, I can describe turns as quarter, half, three-quarter or full turn, and we've got some keywords.

If I say them, will you say them back? Are you ready? My turn clockwise.

Your turn.

My turn, anti-clockwise.

Your turn.

My turn, full turn, Your turn.

My turn half turn.

Your turn.

And finally my turn, quarter turn.

Your turn.

My turn, three-quarter turn.

Your turn.

Very good.

Our lesson today is split into two parts or two cycles.

The first will be clockwise and anti-clockwise turns, and the second amount of turn.

So let's begin by focusing on clockwise and anti-clockwise turns.

Have you heard those terms before? In this lesson, you're going to meet Izzy and Jun.

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

Izzy and Jun are going to play a game called Simon Says.

If the caller says, "Simon Says" before their instruction Izzy and Jun, have to follow it.

Have you done this before? If not, don't worry, you'll soon pick it up.

If the caller does not say, "Simon says", they have to stay still and ignore the instruction.

Okay, let's have a look.

They're ready, let's start.

Simon says, stand closer together.

So they can do that because we said, "Simon says".

Simon says, pick up a pencil and they're going to do that because we said, Simon says.

Simon says, put your pencils back.

Can they do that? Yes they can, Simon says.

Stand further apart.

Can they do that? Izzy thinks so, but Jun knows they can't.

"They didn't say Simon says".

Whoops, don't worry, Izzy, you'll get the hang of it.

That's all part of the fun of the game.

Simon says, stand further apart.

Can they do it this time? Yes and they have.

Simon says, turn around.

Can they do it? Yes they can.

But Jun's got a question, "Which direction shall we turn?" That's a good question.

There's more than one possibility here, isn't there? Izzy and Jun are going to pause their game so that they can explore turning in different directions What directions could you turn in? Can you turn in some different directions now? Jun begins to turn.

So we're looking at Jun from above and he's turning.

What could we say about the way he's turning? What could we say about the direction he's turning? Izzy draws some arrows to show that the direction that Jun is turning, that's an arrow and another one and another one.

"This reminds me of the hands of a clock turning." Oh yes, so it does.

Look at a clock now, you'll see the hands going in that same direction.

There's a special name for this.

This direction of turn is known as clockwise and it's one of our key words, clockwise, because it is turning the same direction as the hands on an analogue clock.

So just like this.

That's called clockwise.

You've got that? Well, let's have a check.

Let's find out which person is turning clockwise.

Are you ready to see? Let's have a look.

This is person A, would you say they're turning clockwise? This is person B, would you say they're turning clockwise? And this is person C, would you say they are turning clockwise? Pause the video.

Did you manage to figure that one out? It's person B, they are turning in a clockwise direction.

Maybe you could practise turning in a clockwise direction.

Can see that by the arrows.

When something turns the opposite way to the hands on an analogue clock, it is an anti-clockwise turn.

So clockwise and anti-clockwise are opposites.

So look at this clock.

This is not the way that clocks turn is it? That's not the way that hands on a clock turn.

This is anti-clockwise.

Jun says, "I think I could try and turn anti-clockwise too." How about you? Do you think you could do it? Do you want to have a little go before Jun does? Here's Jun turning in an anti-clockwise direction.

So can you see just like the hands of the clock are turning anti-clockwise, so is he.

So the opposite direction to the way the hands of a clock turn.

And we can see that looking at these arrows.

There we go.

When something turns the opposite way to the hands on an analogue clock, it is an anti-clockwise turn.

And again, that's one of our keywords today is anti-clockwise.

So the direction of those arrows there is anti-clockwise.

Do you think you got that? Izzy says, "I could lay a pencil down and turn it anticlockwise." Could you do that? You've got a pencil in front of you.

Have a go.

Here's Izzy's pencil and she's turning it anti-clockwise.

You could almost imagine that being the hands of a clock, couldn't you? Let's have a check.

Let's see if you've got anti-clockwise.

Which arrow shows an anti-clockwise turn? Are you ready to see? What about A? Is that anti-clockwise? How about B? Is that anti-clockwise? How about C? Is that anti-clockwise? Just one of them shows an anti-clockwise turn.

See if you can find it.

Pause the video.

Did you spot which one it was? It was C.

C is an anti-clockwise turn, the opposite way to a clock.

Now that Jun and Izzy know about clockwise and anti-clockwise turns, and hopefully you do too, they can restart their game of Simon says.

This time they can include the direction of the turn in their game.

You are going to do this later, by the way.

"We're ready", they say, "Let's restart".

They're very enthusiastic.

They're keen to go.

Here we go, Simon says, pick up a ruler.

Can they do it? Yes they can.

Simon says, place your ruler on the table.

Can they do it? Yes they can.

Simon says, turn your ruler anti-clockwise.

Can they do it? Yes they can.

Which way will they turn their rulers? Let's see, here we go.

They're turning them anti-clockwise.

Put your rulers away.

Can they do it? Oh, Jun thinks so, but Izzy's caught on this time.

They didn't say Simon says, whoops.

Don't worry, Jun.

Simon says, place your ruler on the table.

Can they do it? Yes they can.

Let's have a little check.

Simon says, "Turn your ruler clockwise".

Who is following the instruction correctly? Who is turning their ruler clockwise? Pause the video.

Whose ruler is turning like the hand of a clock? Izzy's is turning this way and Jun's is turning the opposite way.

Which one was clockwise? It was Izzy.

Izzy is turning her ruler clockwise.

Jun is turning his ruler anti-clockwise, the opposite way.

It is time for some practise.

Would you like to play a game of Simon Says? Well, you're going to do it now.

You will need a pen, a pencil, a felt tip pen, and a crayon.

You're going to turn over an instruction card.

If it says "Simon says", follow the instruction.

If it does not say "Simon says", ignore the instruction and stay still, just like in the game.

Have great fun with that.

Pause a video and we'll see you soon.

How good were you at Simon says? More importantly, how good are you at clockwise and anti-clockwise? Do you think you're starting to get that? Well, this is how you might have played the game of Simon says.

If the card says, Simon says turn the felt tip anti-clockwise, this is what you will do.

Turn the pencil clockwise, would you do it? No you wouldn't because it didn't say, Simon says.

Simon says, turn the pencil clockwise.

Would you do it? Yes you would and you would turn it this way, like the hands of a clock, clockwise.

Well, you're doing really well and I think you are ready for amount of turn.

In fact, I know you are.

Izzy and Jun are comparing the turns they made in this Simon says game.

Simon says, turn the pencil clockwise.

Here we go.

That's Izzy's pencil turning clockwise.

Was she's successful? Yes she was.

Here's what Jun's done.

See what you notice.

Jun says, "Why do our pencils look different?" We followed the same instruction.

Yes they did.

And they both followed it correctly too, so why are they looking different? What do you think? "I have an idea", says Izzy.

"The direction of turn was the same".

Yes, it was both clockwise.

"But the amount of turn was different".

Yes, it turned it a different amount.

Jun says, "Does that mean one of us turned the pencil more than the other?" Izzy and Jun compare the amount of turn they made.

So this is Izzy's pencil and that's the amount of clockwise turn.

And this is Jun's pencil and that is the amount of clockwise turn.

"I turned my pencil less than you did", says Izzy.

"I turned my pencil more than you did", says Jun.

Watch carefully.

We're going through a little check.

Watch this carefully.

And the instruction is Simon says, turn the pencil anti-clockwise.

This is Izzy's pen turning anti-clockwise.

That's how much turn it's made.

And this is Jun's pen, watch carefully, see if he turns it more or less.

And the question is this, who turned their pen more? Was it Izzy or was it Jun? Pause the video.

Welcome back.

Who was it? Who turned their pen more? They both successfully turned their pen anti-clockwise.

But who turned it more? It was Izzy.

Well of you said Izzy.

Izzy turned her pen more than Jun turned his.

Izzy's amount of turn was larger, we could say.

What could we say about Jun then? Perhaps we could say Jun turned his pen less than Izzy turn hers.

Perhaps we could say Jun's amount of turn was smaller.

You can use mathematical language to describe the amount of turn.

You can turn all the way around.

This is called a full turn or a whole turn.

Maybe you want to have a go that now before we see Jun doing it.

Can you do a full turn? Well Jun says, "Watch me make a full turn".

Let's see if he's done the same thing as you.

So look at where he is facing.

Where would you expect him to be facing after a full turn? Let's watch.

So he is turning, he's turning clockwise and this is where he's ended up.

He's done a full turn.

He's ended where he started.

Maybe you would like to have a go at doing one more full turn.

Jun is facing the house.

He's going to make a full turn.

So where will he be facing after a full turn? Will he be facing towards the house, the church, the slide or the tree? After a full turn, what do you think? Let's see.

So he's making a full turn.

He's going clockwise.

It's a clockwise turn, going past the slide, past the tree and he's back to where he started.

That was a full turn.

He's still facing the house.

Let's do a little check.

Try starting with Jun facing different ways.

How many ways can you complete the sentences? So the stem sentence is this, Jun is facing the hmm, he makes a full turn now he is facing the, hmm.

See if you can think of different ways to complete that sentence.

I think I can think of four ways.

See how you get on.

Pause the video.

Let's see some possibilities.

What about Jun is facing the church, he makes a full turn.

Now he's facing the, let's see, church.

Let's do another one.

Jun is facing the slide.

He makes a full turn, let's see.

Now he's facing the slide, exactly like he was at the start.

About this, Jun's facing the tree.

He makes a full turn.

This time he's done an anti-clockwise turn.

Now he's facing the tree just like he was.

What do you notice about full turns? What could we say? You end up facing the same way you started.

When you make a full turn, you start and finish facing the same way.

So let's look at the direction of this arrow.

The arrow is pointing left.

After a full turn, which direction will it be facing in? Let's see.

Well, we're making a turn.

Is it clockwise or anti-clockwise.

It's anti-clockwise.

And what do you notice? After a full turn the arrow is pointing left.

It's still pointing left.

It's a full turn.

"When a shape makes a full turn", says Izzy, "it looks the same before and after the turn." Now Jun is going to make a different turn.

Jun is facing the house.

He turns.

Let's watch him turn, clockwise or anti-clockwise? Clockwise.

Now he's facing the slide.

Okay, could we say that's a full turn? No.

How far do you think I turned? Not a full turn.

Do you think you've got another way to describe that turn? Jun made a half turn.

Watch me make another half turn.

So he's pointing right? He's facing right and he's doing a half a turn clockwise and the arrows are showing that half turn.

A half turn is half of a full turn.

You turn halfway round and then stop.

So Jun was facing right now he's facing left.

On an analogue clock, the minute hand has made a half turn when it is half past the hour.

There we go.

Jun is facing the church.

He makes a half turn.

Where do you think he's going to end up after a half turn? Let's see.

Doing a clockwise half turn.

Now he's facing the tree.

Jun, he's facing the slide.

He makes a half turn.

Where will he end up? Let's see.

Now he's facing the house.

Well done if you spotted that before he got there.

Let's have a check.

Try starting with jut facing different ways.

How many ways can you complete the sentences? So jut is facing the, hmm, he makes a half turn now he's facing the, hmm.

I think I can think of four ways again.

Let's see how many you can come up with.

Pause a video.

Did you manage to get four? Well done if you've got any at all.

Let's have a look at some possibilities.

So Jun is facing the tree and he makes a half turn.

Now he's facing the church.

Jun is facing the house.

He makes a half turn.

Now he's facing the slide.

What do you notice about half turns? Does it matter which way you turn? Does it matter if you turn clockwise or anti-clockwise? What do you think? You end up facing the opposite way to where you started, whichever way you turn.

So when Jun was facing that house, if he did a clockwise half turn, he'd be facing the slide.

And if you did an anticlockwise half turn, it'd still be facing the slide.

So with a half turn, it doesn't matter.

When you make a half turn, you finish facing the opposite direction.

The arrow is pointing left and we're going to do a half turn, a half turn anticlockwise.

And after half turn, the arrow is pointing right.

It doesn't matter if you turn clockwise or anti-clockwise, you will still end up facing the opposite direction.

This works with half turned, remember? So let's see the same thing.

But this time clockwise and you can see it's still facing to the right after a half turn.

When a shape turns a half turn, it looks different before and after the turn.

Now Jun is going to make a different turn.

So he's done a full turn.

He's done a half turn.

Could you think of a different kind of turn he could do? Jun is facing the house.

He turns, let's have a look.

He's doing a clockwise turn.

Now he's facing the church.

So that wasn't a full turn, was it? Was it a half turn? No.

What was it? "How far do you think I turned?" Have you got a word to describe that turn? It was like half of a half turn.

Jun made a quarter turn.

Well done if you spotted that.

"Watch me make another quarter turn." Are you ready? So you're doing a clockwise quarter turn.

That's what a quarter turn looks like.

A quarter turn is one quarter of a full turn.

You turn one quarter of the way round and then stop.

On an analogue clock, the minute hand has made a quarter turn when it's quarter past the hour.

And I'm sure that is an expression that you've heard lots, quarter past.

Jun is facing the church, he makes a quarter turn.

Where do you think he's going to be facing? Depends, doesn't it? Let's see.

He's doing a quarter turn clockwise now he's facing the slide.

This amount of turn can also be described as a right angle.

Jun's facing the slide.

He makes a quarter turn.

Again, it depends if it's clockwise or anti-clockwise, doesn't it? Let's see.

He's doing an anti-clockwise turn.

Now facing the church.

You turned anticlockwise.

So that was a quarter turn anti-clockwise? Yes Izzy, you are correct.

Jun is facing the slide.

He makes a quarter turn.

Clockwise or anti-clockwise? Clockwise.

That's a quarter turn clockwise.

Now he's facing the tree.

"This time", says Izzy, "you turn clockwise.

You are facing a different direction." When you make a quarter turn, you turn a smaller amount than a whole turn or a half turn.

Quarter turn is smaller than a whole or half.

The arrow is pointing left and it's doing a quarter turn, clockwise or anti-clockwise? That was anti-clockwise.

After a quarter turn, anti-clockwise, the arrow is now pointing down.

And let's look the other way.

Let's do a clockwise turn.

A clockwise quarter turn.

After a quarter turn clockwise the arrow is pointing up.

When a shape makes a quarter turn, it will look different if it has turned clockwise or anti-clockwise.

Let's have a check, match each turn to the correct sentence.

So in each picture you've got first, and then so like a before and after, can you match the descriptions? So one says, Jun made a quarter turn anti-clockwise.

One says Jun made a half turn and one says, Jun made a quarter turn clockwise.

Can you match up the correct ones? Pause the video.

Let's see how you got on at that checkpoint.

So here this is describing Jun made a quarter turn clockwise.

And this is describing Jun made a quarter turn anti-clockwise.

He went the other way.

And this is describing Jun made a half turn.

Well then if you've got those, you're on track.

Now Jun is going to make a different turn.

Jun is facing the house, he turns.

So we've had full turn, half turn, quarter turn.

What else could there be? Let's see.

We still going? We stopped.

Okay, so we went past the quarter turn.

He went past a half turn, but he hasn't gone to a full turn.

How could you describe that turn? Now he's facing the tree.

How far do you think I turned? What do you think? Jun made a three-quarter turn.

Very well done if you spotted that.

And he says, "Watch me make another three-quarter turn".

Let's watch him.

So he's facing towards the right, he's going to do a three-quarter turn and he's turning clockwise and now he's stopped.

That was a three-quarter turn.

And the arrow is showing a three-quarter turn.

A three-quarter turn is three quarters of a full turn and hopefully you've had experience before with three-quarters.

You turn three quarters of the way round and then stop.

On an analogue clock, the minute hand has made a three-quarter turn when it is quarter to the hour.

So that's showing a three-quarter turn.

When you make a three-quarter turn, you turn three right angles or three quarter turns.

That's why it's called three quarters.

The arrow is pointing left.

So it's going to go a quarter, a quarter, a quarter.

We're gonna go in a anti-clockwise direction.

So that's one quarter, two quarters, three quarters.

After a three-quarter turn anti-clockwise, the arrow is pointing up.

Let's do it again.

Let's do a clockwise turn this time.

Ready? Gonna count three quarters, one quarter, two quarters, three quarters.

After a three-quarter turn clockwise, the arrow is pointing down.

"When a shape makes a three-quarter turn", says Izzy, "it will look different if it does turn clockwise or anti-clockwise." So it does matter.

So not like the half turn.

It does matter whether it's clockwise or anti-clockwise.

Jun is facing the slide.

He makes a three-quarter turn.

Clockwise or anti-clockwise? Let's see, he's going clockwise.

Where do you think he's going to end up? He was facing the slide doing a three-quarter turn.

He's gone past half, gone past quarter, three-quarters.

Now he's facing the church.

"You could have just made a quarter turn in the opposite direction to end up facing that way." Yes Izzy, you are correct.

Well spotted.

Making a three-quarter turn in one direction gives the same result as making a quarter turn in the opposite direction.

So let's have a look at Jun doing his three-quarter turn.

There we go.

And let's see, Jun again, same starting position, he's going to do a quarter turn, but the opposite way.

And in cases he's ended up facing the same way.

So a three-quarter clockwise turn is the same as a one-quarter anti-clockwise turn.

Let's do a little check.

Which picture shows a three-quarter turn? Pause the video.

Did you spot it? Which one was three quarters? It was B.

That's showing a three-quarter turn.

This is a full turn and this is a half turn.

This shows a three-quarter turn anti-clockwise.

But did you spot this? It could also show a quarter turn clockwise.

It's time for some final practise.

Number one, match the pictures to the turns.

So which one shows full turn, which shows quarter turn clockwise, which shows three-quarter turn clockwise and which shows half turn anti-clockwise.

And Izzy says, "Try and draw your own shape before and after a turn.

What turn did it make?" Can you describe that turn? Number two, complete the sentences, the handmade a hmm turn hmm.

So is it quarter, full, three-quarters? Is it clockwise or is it anti-clockwise, you decide.

Same for the bear, same for the snail, same for the panda, same for the hexagon.

Look very carefully before you answer.

Number three, what could this grid look like after it has made a turn? Can you draw the different possibilities? That's a nice challenge there.

Izzy says, "Can you describe the turn the grid needs to make for each of your drawings?" Take your time on that or really think about that one.

Okay, pause the video.

Have great fun and I'll see you shortly for some feedback.

Welcome back.

Did you have fun? How did you get on? Let's have a look.

Number one, match the pictures to the turns.

This is a quarter turn clockwise.

This is a full turn.

This is a half turn anti-clockwise.

And this is a three-quarter turn clockwise.

You could also describe this as a half turn clockwise.

Since it is a half turn, the snail would still end up facing the same direction.

Did you draw your own shape before and after a turn? Here's mine.

Let's have a look at Izzy's.

So she's drawn a triangle and then she's turned it to quarter turn anti-clockwise.

And this is how it looks.

That's one of many possibilities.

And number two, the hand made a half turn anti-clockwise.

Or you could say a half turn clockwise.

The bear made a quarter turn clockwise.

Or you could say it made a three-quarter turn anti-clockwise.

The snail made a full turn anti-clockwise.

Or you could say a full turn clockwise.

The panda made a quarter turn anti-clockwise.

Or you could say a three-quarter turn clockwise.

And the hexagon made a quarter turn clockwise.

Or you could say a three-quarter turn anti-clockwise.

And number three, what could this grid look like after it has made a turn? Draw the different possibilities, let's see.

If it made a full turn, it would still look the same.

If it made a half turn, it would look like this.

If it made a quarter turn clockwise, it would look like this.

This could also show a three-quarter turn anti-clockwise.

And if it made a quarter turn anti-clockwise, it would look like this.

This could also show a three-quarter turn clockwise.

Very well done if you completed that without using tracing paper.

But tracing paper is a good way to help.

We've come to the end of the lesson.

I have had so much fun in today's lesson.

Hope you have too.

We've been describing turns as quarter, half, three-quarter or full turn.

You can describe the direction of a turn using clockwise and anti-clockwise.

You can describe the amount of turn using full turn, half turn, quarter turn, and three-quarter turn.

So we've got some examples here.

So the first four are all clockwise turns and we've got quarter turn, half turn, three-quarter turn, full turn.

And the second four are anti-clockwise.

We've got a quarter turn, half turn, three-quarter turn and full turn anti-clockwise.

You have been amazing today.

Very well done.

I think you deserve a nice gentle pat on the back.

Go for it, you've earned it.

I hope you have a wonderful day and that whatever you do, you are successful.

I really hope I get the chance to spend another math lesson with you at some point in the near future.

But until then, take care and goodbye.