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I can say if a shape is a circle or not and explain why.

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Licence

This content is © Oak National Academy Limited (2023), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Key learning points

Describe what the outside of a circle feels like.
Identify shapes that are circles because they are round and the outside is always an equal distance from the centre.
Identify shapes that are not circles and explain why.

Common misconception

Children may think that ovals are also circles.

Emphasise that the outside of a circle is always an equal distance from the centre by exploring and drawing around different cut-outs.

Keywords

Circle - A 2D shape that has one curved line which is always an equal distance from the centre.
Curved - A line or surface that is not straight or flat.
Centre - The middle of something.
Equal - The same.

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Hello everybody.

My name is Mrs. Johnson.

I am so happy to be here today to help you with some of your maths learning.

I hope you're ready to work hard and have lots of fun.

Let's have a look at what we're going to be learning about today.

Today's lesson is called, explore, discuss and identify shapes that are and are not circles and it comes from the unit, recognise, compose, decompose, and manipulate 2D and 3D shapes.

You are going to be learning lots about circles today.

I wonder if you can close your eyes and picture a circle.

Do you know what a circle looks like? Have a think because that could really help you today.

By the end of this lesson, you will be able to say if a shape is a circle or not and you will be able to explain why.

There are some key words that I would like you to practise that are going to help with this lesson.

I'll say each word first and then I want you to practise saying it, ready? My turn, circle.

Your turn.

My turn, curved line.

Your turn.

My turn, centre.

Your turn.

My turn, equal.

Your turn.

Well done, everybody.

Make sure that you listen out for those keywords today because they are really important for the learning that you are going to be doing all about circles.

There are going to be two parts to this lesson.

To begin with, you are going to learn about describing shapes and then in a little while, you are going to learn how to sort shapes.

Let's start by describing shapes.

There are two friends in this lesson who are going to help with your learning.

Their names are Laura and Andeep.

Listen out for them because they have lots of helpful information all about circles.

Laura has cut out some different shapes from a piece of card.

Have a look at all of her shapes.

There are lots of different shapes here.

I wonder if there's anything you notice about them.

Laura says that I think one shape looks like a flower.

Andeep says, \"I think one shape looks like an egg.\" Can you see one that looks like a flower or looks like an egg? Maybe you can see one that reminds you of something else.

What do you think? Let's check that you can match a shape to a description.

Listen carefully to what Andeep says.

\"I think one shape looks like a donut.\" Could he be talking about A, B or C? Andeep is talking about C.

It does look a bit like a donut with the hole in the middle, doesn't it? Let's have a look at another one.

This time Laura says, \"I think one shape looks like a banana.\" Could she be talking about A, B or C? Laura is talking about B.

It is curved a bit like a banana, isn't it? Maybe it reminds you of something else too.

I think it looks a bit like the moon does sometimes.

What do you think? You can describe shapes by using words that you might already know.

For example, Laura says, \"I can see a pointy shape.\" Andeep says, \"I can see a bumpy shape.\" So they've chosen to use the words pointy and bumpy.

Those are words that you have probably used before to describe lots of different things.

What do you think about the shape that's left? How could you describe this one? I can see a hmm shape.

Pause the video and have a think or maybe you could even talk to the people around you and see what they think too.

Well done for looking carefully at that shape.

There are lots of different words that you could choose to describe this shape.

You might have said that it's a narrow shape.

You could have said that it's a curved shape.

I bet there are lots of other words that you've thought of too, well done.

When you describe a shape, you do need to look at it really carefully like you've just done, but sometimes it can also help to imagine holding the shape in your hands and think about what it would feel like if you could hold it.

Laura says, \"If I imagine holding this shape in my hands, I would feel a point.\" Do you think you can see the part of the shape that she's talking about that would feel like a point in your hands? Andeep says about the second shape, \"If I imagine holding this shape in my hands, I would feel one straight side.\" Do you think you can see one straight side on that shape? It's just that the top, isn't it? There is one part of that shape that looks straight.

Now Laura is imagining holding a different shape in her hands and she says, \"If I imagine holding this shape in my hands, it would feel round, but with one gap.\" Let's check if you can find the shape that she's describing.

Could it be A, B or C? The shape Laura is describing that would feel round with one gap is A.

Well done if you said A.

Let's try another one.

Andeep says, \"If I imagine holding this shape, I would feel feel lots of bumps.\" Is he talking about A, B or C? Andeep is talking about shape B this time, that is the shape with lots of bumps.

Well done if you spotted that.

There is one more shape for you to match.

This time Laura says, \"If I imagine holding this shape in my hands, I would feel only one curved line.\" Is she talking about A, B or C? Laura is talking about B.

B is the shape that has one curved line.

Well done if you said B.

These shapes that you can see here are all circles.

Let's have a look at them closely.

Do you notice anything about all the circles that is the same? Laura says that circles have one curved line and Andeep says the curved line of a circle is always an equal distance from the centre.

They're giving us two really important facts about circles here, so let's learn a little bit more about what they've just said.

Let's start with what Laura said.

Circles always have one curved line.

Let's have a look at the curved line on these circles.

You can see the curved line has just turned purple on the first circle.

Here's the curved line on the second circle and here is the curved line on the third circle.

Could you get your finger and follow the curved line all the way around the circle? Ready? Start at the top and follow the curved line all the way around.

Well done.

You can see that each circle has one curved line, doesn't it? Now let's think about what Andeep said.

The curved line of a circle is always an equal distance from the centre.

The centre of the circle means the middle, so let's find the middle of each circle.

There it is, we can see there's a little dot in the centre of each circle now.

Andeep said the curved line of a circle is always an equal distance from the centre.

Let's start in the centre and draw an arrow that goes to the curved line.

I'm going to draw three in the first circle and three in the second circle and three in the third circle.

There is something very special about all of those arrows inside each circle.

The arrows in each circle are the same length, aren't they? They are equal.

These arrows are showing us that the curved line on a circle is always an equal distance from the centre.

Sometimes two shapes can look very similar and you have to look really carefully to find out how they are different.

Look at these two shapes.

When you first look at them, they do look really similar, don't they? Let's see if Laura and Andeep can help us to see how these shapes might be different.

Andeep says they both have one curved line, so that's something that's the same.

Maybe that's why these shapes look so similar.

Laura spotted that the first shape is narrower, so perhaps that is how they are different.

The first shape is a little bit narrower than the second one.

Andeep says that means that the curved line of the first shape is not an equal distance from the centre.

Let's have a look at that a bit more.

Here's the centre of each shape.

Let's draw some arrows from the centre to the curved line.

Can you see that one of the arrows is longer and one of the arrows is shorter? That means that the curved line is not always an equal distance from the centre.

Sometimes it's further away and sometimes it's closer.

On the second shape, if we draw arrows from the centre to the curved line, they are equal.

That means the curved line is an equal distance from the centre.

Let's check if you can spot which shape has a curved line that is always an equal distance from the centre.

Do you think it could be A, B or C? The shape with a curved line that is an equal distance from the centre is C.

If I show you the centre of the shape here by placing a dot in the centre and then I draw some arrows pointing from the centre to the curved line, you can see that they are the same length, so that means if the arrows are equal, the curved line is an equal distance from the centre.

If I do the same to shape A and I find the centre and I draw some arrows that are pointing to the curved line, I can see they are not equal.

One arrow is longer and one arrow is shorter.

That means that the curved line is not an equal distance from the centre.

If I do the same for shape B, let's find the centre, draw my arrows that are going from the centre to the curved line and you can see that one arrow is longer and one arrow is shorter, so this shape does not have a curved line that is an equal distance from the centre.

The shape that you were looking for was C.

Well done if you were able to notice that that was the only shape that had a curved line an equal distance from the centre.

Here's another way to think about circles.

This might help you to be able to imagine doing this and then you can really think about what makes a circle and what doesn't make a circle.

Drawing a circle is a bit like having a pencil tied to a piece of string, a bit like this.

If you wanted to draw a circle, you would need to imagine that the end of the string is attached to a piece of paper.

You would pull the string straight, like this, and then you would draw and you would end up with a circle shape.

If you have time later, perhaps you could go and try this.

You could hold a piece of string, attach it to a pencil or a pen at the other end, pull the string tight and draw all the way around and see if you end up with a circle shape like this.

You are going to go and do a little piece of work now.

To begin with, I would like you to match the descriptions to the shapes that you can see here.

The first description says this shape has only one curved line.

The second one says this shape has only straight sides and the third one says this shape has two straight sides and one curved line.

Can you draw lines to join each description to the correct shape? Once you've done that, there is something else I would like you to try.

You are going to get a piece of paper, and really slowly and carefully you are going to try and draw the best circle that you can.

When you finish drawing it, I want you to have a think about Laura's question.

How would you describe the circle that you drew? What words could you use to talk about your circle? Then you are going to watch a video of somebody drawing a circle.

When you've watched the video, you're going to think about the second question.

How would you describe their circle? The circle that you see somebody drawing in the video.

The video is coming up now and then I will tell you what you need to do next.

Watch this video to see somebody drawing a circle.

Now that you've seen a video of somebody else drawing a circle, I would like you to look carefully at the circle that your partner drew at the beginning of this piece of work.

Have a think.

Did they do something that was different to your circle? Did they do something that was different to the circle in the video? And finally, I want you to look at your circle again and think is there anything you could do that could make your circle even better? How could you improve your circle? Are you ready to go and try that? Excellent, off you go.

Well done, everyone.

First, let's have a look at how to match these shapes to their descriptions.

The first description says this shape has only one curved line.

That needs to match to the third shape.

That is the shape that has only one curved line.

The next description says this shape has only straight sides, so this time you were looking for the shape that has no curved lines.

It's the first shape.

And finally, this shape has two straight sides and one curved line.

That's the shape in the middle.

We can see there is one curved line that goes nearly all the way around and then there are two straight sides as well.

Well done if you match those correctly.

In the drawing part of this work, this is the circle that Laura drew.

This is what it looked like.

She tried really hard to draw the best circle she could.

Andeep had a look at Laura's circle and he noticed that she tried really hard to draw one curved line all the way around.

Then Laura watched the video of somebody else drawing a circle and she had a think about how she could make this circle even better.

And she said, \"My circle looks a bit squashed.

I will try to make the curved line an equal distance from the centre.\" And then her circle wouldn't look so squashed, would it? It would look nice and round.

It would make an even better circle.

Well done if you were able to look at the circle that you and your partner drew and think really carefully about how you could make it even better.

Now you are going to have a look about how you can sort shapes.

There are going to be lots more shapes.

Some of them will be circles and some of them won't and you're going to see if you'll be able to sort these shapes into sets.

Let's have a look.

Andeep is going to sort these shapes into two sets.

His sets are called circle and not a circle.

Let's see where he puts each shape.

The first one is in the circle set.

The second one is in the circle.

The third one is not a circle.

The fourth one goes in not a circle.

And the last shape is a circle.

I wonder what Andeep was thinking about while he put those shapes into those sets.

Let's have a think.

He says, \"I know that a circle has one curved line.\" He was looking at each shape carefully to see if it had one curved line.

He noticed the shapes that are in the not a circle set, they do have a curved line, but they look like they have a gap.

The curved line doesn't go all the way around, does it? That is why he put those shapes in the not a circle set.

Now Andeep is going to sort some more shapes into sets.

He is still going to sort them into circle and not a circle.

Let's see where they go this time.

Not a circle, circle, circle, not a circle, not a circle.

I wonder what he's noticed this time about the shapes.

He has remembered that a circle has no straight sides, it is round.

All the shapes in the not a circle set have a straight side.

If you can see a straight side, you know straight away it is not a circle.

Let's check if you can sort some shapes into sets by checking the curved line really carefully.

Have a look at these and see if you can say if they are a circle or not a circle.

Pause the video and sort these shapes into sets now, off you go.

Okay, let's have a look and see if you've sorted them into the correct set.

The first shape is not a circle.

The second shape is not a circle.

I can see they both have some straight sides, they can't be circles, can they? The third shape is a circle.

The next shape is not a circle.

It does have a curved line but there is a gap and it has some straight sides too, it can't be a circle, can it? The next shape is not a circle because it only has straight sides.

The last shape is a circle.

Well done if you were able to sort those correctly.

Laura has sorted some more shapes, but she has made some mistakes.

I think she might have forgotten to check something important.

Can you notice what it might be? What do you think Laura has forgotten? Let's have a look.

Laura says, \"I forgot to check if the curved line is always an equal distance from the centre.\" Oh no, she looked if it had a curved line, but she didn't check if it was an equal distance from the centre.

Can you see which shapes have ended up in the wrong set because she forgot to check if the curved line was an equal distance from the centre? Well done if you've noticed it's these three here.

Those are not circles.

They should be in the not a circle set.

You can see that if you find the centre and you draw those arrows to check, one arrow is longer, one arrow is shorter.

That means the curved line is not an equal distance from the centre.

Those shapes are not circles, they belong in the not a circle set.

To be able to sort shapes into these sets, circle and not a circle, there are two really important things that you have to check.

First, you need to check does it have one curved line? And then you need to check is the curved line of the shape always an equal distance from the centre? Let's have a look at that now.

Laura and Andeep are going to sort some shapes using those two really important things to check.

Let's watch how they do that.

Laura is going to ask the questions and Andeep is going to check the shape and give Laura the answer.

Laura's first question is, \"Does it have one curved line?\" Andeep is just having a look and checking.

What do you think he's going to say? You can check the shape too.

He says yes it does, it has one curved line.

Laura's second question is, \"Is the curved line always an equal distance from the centre?\" Andeep is just checking, he's looking at the centre, he's looking at the curved line.

He can see these arrows pointing from the centre to the curved line.

He sees that they are equal, so Andeep can say yes, my shape is a circle.

Let's put that shape in the circle set.

Now they've got a second shape.

Laura's going to ask the questions again, \"Does it have one curved line?\" Andeep's having a look.

What do you think he's going to say? He says, yes, it does have one curved line.

Laura's second question, \"Is the curved line always an equal distance from the centre?\" Let's have a look.

Here's the centre.

Here are the arrows.

(gasps) One of them is longer, one of them is shorter, Andeep needs to say no.

The curved line is not an equal distance from the centre.

The shape is not a circle.

Let's put it in the not a circle set.

Laura and Andeep have one more shape.

Let's look at Laura's question again, \"Does it have one curved line?\" Andeep is checking carefully.

No, it has one curved line and two straight sides, not only one curved line.

Laura's second question.

Is the curved line always an equal distance from the centre? No.

My shape is not a circle.

Let's put it in the not a circle set.

Let's check if you can use Laura and Andeep's questions to find the mistakes.

There are some shapes here that have been put in the wrong place.

Pause the video, think carefully about Laura and Andeep's questions and find the mistakes in this sorting, off you go.

Let's have a look.

How many mistakes were there this time? I can see this shape here should not be in the circle set because the curved line is not always an equal distance from the centre.

This shape doesn't belong in the circle set because it has one straight side.

This shape does not belong in the circle set because it doesn't have a curved line at all.

All the sides are straight.

There is one more shape in the wrong place.

This one here, it is a circle.

It belongs in the circle set.

Well done to everybody who found all of those mistakes and to everybody who was thinking really carefully about whether these shapes are circles or not.

Now you are going to practise sorting shapes into sets.

There are some shapes on some cards that come with this lesson or an adult might be able to cut some shapes out of card for you to sort.

You're going to use those shapes and sort them into these two sets, circle and not a circle.

Once you've sorted them, you're going to use the same shapes again and you're going to choose one shape to match each sentence.

The first sentence is a shape that is a circle.

The second sentence is a shape that is a bit like a circle.

And the third sentence is a shape that is nothing like a circle.

When you've chosen a shape to match each sentence, I want you to tell a partner why you chose each shape.

When you're talking to your partner, see if you can use today's keywords.

Remember, they are circle, curved line, centre and equal.

Try to use those words when you are explaining why you chose each shape.

You're going to go and do that work now for me, off you go.

Let's have a look at the sorting first.

This is how you should have sorted your cards.

There were only two shapes that were circles.

All the others belong in the not a circle set.

Some of them have a curved line with a gap.

Some of them have straight sides, and some of them have a curved line that is not always an equal distance from the centre.

So there were only two shapes that are allowed to be in the circle set.

Well done if you noticed that and you found those two circles too.

We're going to have a look at how Laura and Andeep chose shapes to match each sentence, and while we're looking, I want you to have a think about how you talked to your partner and see if you used any of the same words that Laura and Andeep have used.

Maybe you even chose the same shapes that they did.

Let's have a look.

The first sentence was a shape that is a circle.

Laura chose this one and she said this is a circle because the curved line is always an equal distance from the centre.

The next sentence was a shape that is a bit like a circle.

Andeep chose this one and he said this shape is a bit like a circle because it has a curved line but there is a gap.

The third sentence was a shape that is nothing like a circle.

Laura chose this one and she said this shape is nothing like a circle because there are no curved lines.

The sides are all straight.

Well done if you used some of the same key words that Laura and Andeep used when they were talking about their shapes.

When you can explain why you chose a shape to match a sentence, it shows that you are really thinking carefully about each shape and trying really hard to use the words that you've been learning about in this lesson.

Well done, everybody.

Now that you are at the end of the lesson, you have learnt that circles always have one curved line.

You know that the curved line of a circle is always an equal distance from the centre.

You have also learned to sort shapes into sets and you are able to explain why you have sorted them in that way.

You have worked very hard and done lots of thinking about circles and shapes that are not circles today.

Well done for your hard work, everybody.

I hope that I will see you again soon for some more maths learning.

Bye, everyone.

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