Lesson video

Hello there.

My name is Mr. Tilstone.

I'm a teacher and I really love maths.

It's my favourite subject.

So I'm really happy to be here with you today teaching you this lesson all about position and direction.

I know that you know lots and lots of position and direction words already, so let's see if we can solve some problems. If you're ready, let's do a countdown.

Five, four, three, two, one.

Let's begin.

The outcome of today's lesson is this: I can give and follow directions involving movements to the left and right, forwards and backwards, and turning clockwise and anticlockwise.

And I'm sure you've had lots of recent experience of using those words.

I'm sure you're getting very good at that.

And we've just got one keyword today.

So if I say it, will you say it back, please? My turn, directions, your turn.

And we're going to be solving problems involving direction.

Our lesson is split into two cycles.

The first will be following directions and the second giving directions.

So for now, let's focus on following directions.

And in this lesson, you're going to meet Jun and Izzy.

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

Jun is looking for coins in the sand.

Izzy is going to help Jun find them by giving him directions.

Now, first of all, notice which way Jun is facing.

"Move two squares to your right." So his right, okay? "My right is different to your right as I'm facing in a different direction." So remember, he's going to go two squares to his right.

One, two, there we go.

"Go forwards one square." Remember that's his forwards.

There we go.

Jun found a coin.

Fantastic.

Now Izzy can give Jun directions to the next coin.

"Make a half turn," she says.

Okay, so which way will he be facing if he makes a half turn? He won't be moving anywhere yet.

He's just changing his position.

There we go, he's made a half turn.

"Go forwards two squares." One, two.

"Make a quarter turn clockwise." Okay, so think about quarters, a quarter turn, not a half turn, a quarter turn, and then think about clockwise and anticlockwise.

Which way is clockwise? The way that a clock would go.

A quarter turn clockwise looks like this, and now he's got a new forwards.

"Go forwards one square," and that's what he needs to do.

And he's found another coin.

So these are good directions, Izzy.

Well done.

Let's have a little check.

Jun wants to collect the five pence coin.

Which directions will help him to find it? Here's your two choices.

A, make a quarter turn clockwise, go forwards one square and move three squares to your left.

Would that work? Or B, make a quarter turn clockwise, go forwards one square, move three squares to your right.

Which one's right and which one's not right? Pause the video and have a look.

Let's see.

It was B, make a quarter turn clockwise, so go forward one square like so, and then move three squares to your right, and remember that's his right, so one, two, three.

So Jun is facing a different direction to you, so his right is not the same direction as your right.

So it's very important to notice which direction someone is facing at the start.

Now Jun is going to collect the toys hidden in this maze.

Izzy will give Jun directions again.

"Make a half turn," she says.

Can you picture that before he does it? Is that what you predicted? Well done.

"Go forward two squares." One, two.

At the moment his forward is the same as our forward.

"Make a three-quarter turn anticlockwise." Can you picture that? Three-quarters anticlockwise, so the opposite direction to a clock.

Let's see.

One, two, three.

And then go backwards three squares.

And remember that's his backwards.

Look at the way he's facing.

Look at where his forwards would be and where his backwards would be.

One, two, three.

Jun found the princess, but Jun's got a question and it's a good question I think.

He says, "Couldn't I have just made a quarter turn clockwise and moved forwards?" And as Izzy says, "Yes, you could have done that.

I'm trying to be creative and find different ways for you to travel." So in this case, a three-quarter turn anticlockwise was the same as a one quarter turn clockwise.

Let's have a little check.

Which toys will Jun collect if he follows these directions? Okay, are you ready? So go backwards one square, and then move three squares to your left, and then make a three-quarter turn anticlockwise, and move one square to your left.

So take your time, look at each one again, do each one one at a time and see which toys he'll collect.

Pause the video.

Let's see, which toys did he collect? Well, that's him going backwards one square, and then moving three squares to his left.

One.

So he's collected the robot.

Two, three.

Now he's going to make a three-quarter turn anticlockwise.

One, two, three.

And move one square to his left.

One.

So he's collected the unicorn.

Well done if you said the robot and the unicorn.

It's time for some practise.

You're going to follow the directions and draw the toys that you find in the correct box to show the order that you collected them.

So you're going to make a quarter turn anticlockwise, go forwards two squares, make half a turn, move three squares to your right, go forwards four squares, make a quarter turn clockwise, go backwards three squares, and move one square to your right.

So take your time with that.

Look at them one at a time, which toys will he collect and in what order? Righty-ho, pause the video and away you go.

Welcome back.

How did you get on with that? Let's have a look.

So one quarter turn anticlockwise looks like that.

Go forwards two squares, one, two.

So he's collected the dragon.

And then he's going to make a half turn, which looks like that.

And then move three squares to his right, one, two.

Collected the unicorn.

Three.

And then he's going to move forwards four squares, one, two, three, collect the teddy bear, four.

And then make a quarter turn clockwise, like so.

And then go backwards three squares, one, two, three.

And then move one square to his right, and finally he collects the robot.

So that is the correct order.

Well done if you got that.

I think you're ready for the next cycle, in fact, I know you are, and that's giving directions.

Izzy is practising playing her new computer game.

When she gives the cat directions, it will draw lines.

So she's telling the cat, "Go forwards two squares." The cat's going to draw a line.

One, two.

"Make a quarter turn clockwise." Can you picture it? Here we go.

"Go forwards two squares." One, two.

"Make a quarter turn clockwise." Izzy can give more direction so that the cat will draw a rectangle.

What could she do? "Go forwards two squares." What would you do next? "Make a quarter turn clockwise." Now what? "Go forwards two squares." Well done.

We've got a rectangle.

Great work, Izzy, and great work, cat.

Let's have a little check.

What directions should Izzy give so that the cat will complete this octagon? Can you think of more than one way? So think how many sides an octagon's got.

It's nearly complete.

So you go to make a mm turn, mm, and then go mm spares.

So think about the words you know and think about the numbers that would be needed.

Okay, pause the video, see how you get on.

Let's see.

So, we're going to make a quarter turn anticlockwise, and then we're going to go forwards four squares.

Well done if you got that.

Did you give a different set of directions though? 'Cause you may still have been right.

What about this? What about make a quarter turn clockwise and then go backwards four squares? That works too.

Let's move on.

Izzy changes the background on her game, so we've got dots now, and she says, "Go forwards one dot.

Make a quarter turn anticlockwise." Can you picture it? A quarter turn anticlockwise, what direction will the cat be facing in? That way.

"Go forwards three dots." Can you picture where the cat will end up? Yep, just there.

"Make a quarter turn anticlockwise." Can you picture it? A quarter turn anticlockwise this way.

Izzy thinks she could give exactly the same directions again to complete the rectangle.

Do you agree? Have a look, check it out.

Pause the video.

Let's see, did that work or not? Let's go forwards one dot.

Let's make a quarter turn anticlockwise.

This is go forward three dots, and this is make a quarter turn anticlockwise.

Didn't need that last one, it was already complete.

Izzy wants to draw a hexagon on her game.

A hexagon, how many sides has a hexagon got? "I know a hexagon can look like this," said Izzy.

That's got six sides, it's a hexagon.

"But I do not know how to describe those turns.

I need to draw a hexagon that is made with quarter turns, half turns, or three-quarter turns." So can you think of a different way that she could draw a hexagon? Let's explore.

She's having another go.

"Go forwards three dots," she says.

One, two, three.

"Make a quarter turn clockwise." See if you can picture it.

Yes.

"Go forwards three dots." One, two, three.

"Make a quarter turn clockwise." Can you picture it? And "Go forward two dots." Izzy's hexagon needs to have six sides.

She's drawn three sides so far.

She needs to give directions to draw three more sides.

"Make a quarter turn clockwise." Okey doke.

"Go forwards one dot." Can you picture it? There we go.

"Make a three-quarter turn clockwise." Can you picture that one? Now let's have a little check.

What directions could you give to complete Izzy's hexagon? We've now got four sides.

We need two more sides.

What could you do? Pause the video and have a go.

There's lots of different ways you could do this.

This is just one of them.

What about go forwards one dot, make a quarter tone clockwise, and go forwards two dots? Let's explore that.

Forwards one dot, quarter turn clockwise, forwards two dots.

Well done.

These directions would also complete the hexagon.

Go forwards one dot, make a three-quarter turn anticlockwise and go forwards two dots.

And here's another possibility, go forwards one dot, make a quarter turn anticlockwise and go backwards two dots.

Well done if you got any of those possibilities.

It's time for some final practise, and you're definitely ready.

Number one, draw a shape on the dotted paper but don't let anyone else see it.

Keep it a secret.

Give directions to your partner, so that they can draw the same shape that you have drawn.

And here's the words you're going to use: quarter turn, half turn, three-quarter turn, clockwise and anticlockwise.

And number two, give the ship directions to help it find all the treasure and avoid those sharks.

How many different ways can you find? That looks fun, doesn't it? Enjoy exploring that, and I will see you very shortly for some feedback.

Pause the video.

Welcome back.

Here is just one of many possibilities.

This is how you could have given directions to a partner to draw this particular shape.

So go forwards two dots, like so.

Make a three-quarter turn anticlockwise.

One, two, three.

Go forwards three dots.

Make a quarter turn clockwise.

Go forwards four dots.

Make a quarter turn anticlockwise.

Go backwards five dots.

Make a quarter turn anticlockwise.

Go forwards two dots.

Make a quarter turn clockwise.

And go forwards two dots.

And that completes the shape.

And your directions might have started like this.

This isn't all of them, this is just a start.

Go forwards three squares.

Make a quarter turn clockwise.

Go forwards three squares.

Make a quarter turn clockwise.

Go forwards three squares.

Make half a turn.

Go forwards five squares.

Make a quarter turn anticlockwise.

And go forwards three squares.

That's just a start.

There was a lot of different directions involved in that, and well done if you succeeded in that task.

Well, I think it's been such a fun lesson today, and I really hope you've found it fun too.

Today we've been solving problems involving position, direction, and rotation.

And may I say, you're getting really good at this now.

Directions are useful because you can use them to help somebody find what they are looking for.

So we use directions all the time in everyday life.

You can use lots of different mathematical language when giving directions, such as forwards, backwards, clockwise, anticlockwise, to your left, to your right, half turn and quarter turn.

So many possibilities.

Well, it's been great fun today and a real pleasure working with you.

So well done on your accomplishments and your achievements today.

How about you give yourself a nice gentle pat on the back and say, "Well done me?" I hope we can work together in the future to do another math lesson.

But until then, have a great day.

Be successful in whatever you are doing.

Take care.