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I can explore, discuss, compare and sort 2D shapes.

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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

Use everyday language to compare shapes e.g. wide, narrow, tall, short.
Be able to count the sides and vertices of different 2D shapes.
Understand how to sort shapes into two sets based on 'is' and 'is not' criteria.
Be able to guess sorting rules by looking at how shapes have been sorted into two sets.

Common misconception

Children may not recognise a 2D shape when it is presented in a different orientation.

Allow children to handle cut-outs of 2D shapes so they can rotate them and explore how the shapes look in different orientations.

Keywords

Sides - The straight edges around the outside of a 2D shape.
Vertices - The corners of a 2D or 3D shape, where two or more edges or sides meet.
Rectangle - A 2D shape with 4 straight sides and 4 vertices.
Triangle - A 2D shape with 3 straight sides and 3 vertices.

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Hello, everybody.

My name is Mrs. Johnson.

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

I hope that you are ready to work hard and have lots of fun.

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

Today's lesson is called \"Explore, Discuss, and Compare 2D Shapes.\" It comes from the unit, \"Recognise, Compose, Decompose, and Manipulate 2D and 3D Shapes.\" You are going to be exploring different 2D shapes today and thinking about how you might be able to describe them.

I wonder what you can remember already about some 2D shapes that you might have learned about before? Have a think about that because that could help you with today's learning.

By the end of this lesson, you will be able to describe, compare, and sort 2D shapes in lots of different ways.

Let's have a look at the keywords that are going to help you in your lesson today.

There are four keywords to practise.

Let's practise saying each one.

I'll have my turn first, and then it will be your turn to say them.

Ready? My turn, sides, your turn.

My turn, vertices, your turn.

My turn, rectangle, your turn.

My turn, triangle, your turn.

Well done.

Listen out for those words today.

They're going to be really important for this lesson.

There are going to be two parts in today's lesson.

To begin with, you are going to be describing and comparing 2D shapes, and then in a little while, you are going to learn about sorting 2D shapes too.

Let's start with describe and compare 2D shapes.

There are two friends who are going to help in this lesson today.

Their names are Aisha and Lucas.

They are going to give you lots of helpful information that's going to help you learn more about 2D shapes.

I will tell you though to watch out for Lucas in this lesson because sometimes Lucas is a little bit cheeky.

So you'll have to watch out and see if he does anything cheeky in this lesson today.

Okay, let's start our learning about describing and comparing 2D shapes.

Aisha has some 2D shapes.

Have a look at all the shapes that Aisha has.

She's thinking, \"I wonder what shapes these are?\" I hope you know what shapes these are.

Well done if you said that these are all rectangles.

They are.

Aisha has lots of different rectangles in front of her.

She's chosen two rectangles to have a look at and to think about.

And she's thinking about how are these rectangles different? She's going to look really carefully.

Let's see what Aisha thinks about how these rectangles are different.

She's going to choose these words to describe them.

Aisha says, \"I think this rectangle is short and wide.\" And for the second rectangle, Aisha says, \"I think this rectangle is tall and narrow.\" Aisha says that the first rectangle is short and the second rectangle is tall.

Aisha also said the first rectangle is wide, the second rectangle is narrow.

I wonder what words you would use to describe these rectangles.

You can choose your own words to describe them.

You don't have to use the words that I should choose.

Let's see if you can do that now.

Have a look at this rectangle.

How would you choose to describe it? I'll give you a few seconds to have a think.

Pause the video if you need a little bit longer.

Well done.

You've thought really carefully about that rectangle.

There are lots of different words you could use.

One example is wide.

You could say this is a wide rectangle.

There are lots of other words you might have used too.

Some people might have called it a short rectangle.

Some people might have called it a long rectangle.

Maybe you could talk to the people around you and see what they thought about this rectangle too.

I should told you something that was different about those rectangles.

Now can you think about something that is the same? Have a look at all those rectangles.

What do they all have that is the same? Hmm.

Let's have a look at that together.

Each rectangle has four sides.

If we look at this one rectangle, we can count the sides to check.

Ready? 1, 2, 3, 4.

You can see that this rectangle has four sides.

I wonder if there's anything else that's the same.

Oh, each rectangle has four vertices.

Let's have a look at that.

Remember that vertices are corners.

Let's see if we can count the vertices.

Ready? 1, 2, 3, 4.

A rectangle has four sides and four vertices.

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

We've got three more rectangles.

I wonder if you can count the sides with me.

All of these rectangles.

Let's have a go.

Ready? 1, 2, 3, 4.

Four sides.

The next one.

1, 2, 3, 4.

Four sides.

And the last one.

1, 2, 3, 4.

Four sides.

Rectangles always have four sides.

Now let's have a think about the vertices.

Can you count the vertices of these rectangles with me? Ready? 1, 2, 3, 4.

The first rectangle has four vertices.

Let's count the vertices of the second rectangle.

Ready? 1, 2, 3, 4.

Four vertices.

And the last one? 1, 2, 3, 4.

Four vertices.

Rectangles always have four vertices.

Now that you've learnt about counting sides and vertices, let's see if you can check that you are able to do that.

Watch what Aisha does and see if you think she is correct.

She says, \"1, 2, 3, 4.

I counted four sides.

This shape is a rectangle.\" Do you think she is correct? Yes, she is.

Well done.

This shape is a rectangle.

Let's try another one.

Watch what she does this time.

\"1, 2, 3, 4.

I counted four vertices.

This shape is a rectangle.\" Do you think she is correct? No, she's not correct this time.

Did you spot where she might have gone wrong? What mistake did she make? You are right.

It's in this area here.

Aisha counted four vertices, but in this part of the shape, there are actually number four and number five.

This shape has five vertices.

If a shape has five vertices, it cannot be a rectangle, so Aisha is not correct.

Now you are going to have a look at some shapes that Lucas has.

Lucas is thinking about these shapes, and he's wondering what shapes these are.

I wonder if you know? I hope you are all saying that these are all triangles.

Well done if that's what you were thinking.

These are all triangles.

Lucas has chosen two triangles, and he's going to think about what is different about these triangles.

Can you notice anything different? Let's see what Lucas notices.

He's going to use some of his own words to describe them.

He says, \"I think this triangle is wide and tall.\" And then he says, \"I think this triangle is narrow and short.\" You can choose your own words to describe shapes like this.

Lucas chose wide and tall, narrow and short, but you might have chosen some different words.

Let's see if you can choose your own words to describe a shape.

Have a look carefully at this triangle.

How would you describe it? \"I think this triangle is, hmm?\" I'll give you a few seconds.

Pause the video if you would like a little bit longer.

Well done.

You have thought really carefully about how you could describe this triangle.

You might have chosen the word narrow.

There are lots of other words you could have chosen.

You might have said that it's a tall triangle.

I wonder what you said? Perhaps you could ask your partner how they would describe this triangle and see if you would use the same words or if you chose something different.

Now have another look at all of Lucas's triangles.

This time, instead of thinking about what's different, Lucas is wondering what is the same about all of these triangles.

I wonder what he is thinking? What is the same about all of these triangles? Let's have a look at this together.

Each triangle has three sides.

Let's have a look at that.

There's 1, 2, 3.

You can see the three sides on this triangle.

I wonder if there's anything else that's the same.

Each triangle has three vertices.

Let's see what that looks like.

1, 2, 3.

There are three corners, three vertices on this triangle.

Let's see if we can count some more sides.

Let's count the sides of these triangles together.

Ready? 1, 2, 3.

Three sides.

1, 2, 3.

Three sides.

And the last one.

1, 2, 3.

3 sides.

Triangles always have three sides.

Let's have a look at the vertices.

I wonder if you can guess what's going to happen.

Let's count them together.

1, 2, 3.

Three vertices.

1, 2, 3.

Three vertices.

And the last one.

1, 2, 3.

Three vertices.

Triangles always have three vertices.

Well done if you guess that's what was going to happen.

Now that you've practised counting the sides and the vertices of triangles, let's check if you are able to see if Lucas has done his counting correctly.

Let's watch what Lucas does.

He says, \"1, 2, 3.

I counted three vertices.

This shape is a triangle.\" Do you think Lucas is correct? He is correct.

Well done.

This shape does have three vertices and it is a triangle.

Let's do one more.

Watch what Lucas does this time.

\"1, 2, 3.

I counted three sides.

This shape is a triangle.\" Do you think Lucas is correct? No, Lucas is not correct this time.

I'm sure that you've spotted it.

This part here is where it gets a bit tricky, isn't it? Lucas only counted three sides.

He missed some out.

He should have counted 4, 5, 6, six sides.

If a shape has six sides, it cannot be a triangle.

That is why Lucas is not correct this time.

You are going to practise finding the sides of some different shapes now.

You are going to have a look at all the shapes that you've got on your sheet.

And to start with, you are going to colour all the shapes that have three sides.

Once you've done that, I want you to have a look at what you notice.

Is there anything else that is the same about all of the shapes that you've coloured in? Then you are going to choose a different colour, and you are going to colour in all the shapes that have four side.

And once you've coloured in the shapes with four sides, look carefully at them.

Is there anything else that's the same about all of the shapes with four sides? Once you've done all your colouring, I want you to have a go at filling in the spaces in these sentences.

\"The shapes with three sides and three vertices are called, hmm?\" \"The shapes with four sides and four vertices are called, hmm?\" I wonder what words could go in those spaces.

I know you can think really carefully about this and do some really good work now.

Are you ready? Off you go.

Okay, everybody, let's have a look and see how you got on with counting the sides of all of these different shapes.

First, you were looking for the shapes that had three sides.

You should have coloured in all of these.

These are all the shapes with three sides.

I wonder if you noticed anything about these shapes.

Lucas noticed that the shapes with three sides also have three vertices.

Well done if you spotted that too.

Lucas could also remember how to fill in the sentence at the bottom.

The shapes with three sides and three vertices are called triangles.

Well done if you said the same as Lucas and you remembered triangles too.

The second part of your work was to count the sides and colour in all the shapes that have four sides.

You should have coloured in all of these shapes.

All of these have four sides.

Did you notice anything about those shapes? Lucas noticed that the shapes with four sides also have four vertices.

Good job if you thought about that too.

Finally, Lucas was able to finish the second sentence.

The shapes with four sides and four vertices are called rectangles.

Very good job if you remember rectangles two.

Excellent work.

Now it's time to have a look at the second part of today's lesson, where you are going to be learning about sorting shapes.

Let's have a look at that.

Aisha is going to sort her shapes into sets.

The names of her sets are rectangles and not rectangles, and Aisha can remember that rectangles have four sides and four vertices.

Let's watch how she sorts her shapes.

She says the first shape is not a rectangle.

The second shape is a rectangle.

The third shape is a rectangle.

The fourth shape is not a rectangle.

The fifth shape is a rectangle.

And the last shape is not a rectangle.

Aisha had to look at each shape carefully and check if it had four sides and four vertices, and if it did, she knew it must be a rectangle.

I will put it in the rectangle set.

If it didn't have only four sides and only four vertices, I should put it in the not a rectangle set.

Let's check if you can sort these shapes into sets.

This time, your sets are called triangles and not triangles.

Lucas is helping you by reminding you that triangles have three sides and three vertices.

Pause the video and have a go at sorting these shapes into sets.

Okay, now that you've had a go at sorting them, let's have a look and you can check if you've got them all in the right place.

The first shape is a triangle.

The second shape is not a triangle.

The third shape, not a triangle.

The fourth shape is not a triangle.

The fifth shape is not a triangle.

The last shape is a triangle.

There are only two shapes that have three sides and three vertices, so that means there are only two shapes that are allowed to go in the triangle set.

The other shapes have more than three sides and more than three vertices so they are not triangles.

Well done if you were able to do that.

Now Aisha has found some more shapes.

She's going to sort them into sets again, but this time, do you notice you can't see what each set is called? You've got to watch how Aisha sorts them and see if you can guess.

Are you ready? Watch carefully where is Aisha putting each shape.

Can you start to spot anything that might be the same about all the shapes in the first set and something that the shapes in the second set don't have? What do you think? Let's have a look together.

Aisha's sorting rule was circles and not circles.

Well done if you'd spotted that all the shapes in the first set were circles and all the shapes in the second set were not circles.

When you look carefully at the shapes in each set, you can work out the sorting rule.

I wonder if you can work out what his sorting rule is? Watch how he sorts them, and then pause the video to try and work out what his sorting rule might be.

This is how Lucas sorts his shapes.

Look carefully at the shapes that are in the first set and the second set.

What is Lucas' sorting rule? Pause the video and have a think.

Well done for thinking so carefully about this.

And looking really carefully at the shapes in the first set, I am sure you noticed that the first set are triangles.

The rule for the second set is not triangles.

Well done.

You thought really carefully about that.

Aisha has sorted these shapes into sets.

And this time, we can see her sorting rule: triangles and not triangles.

Cheeky Lucas is going to change something.

Uh-oh.

I told you at the beginning, didn't I, that sometimes Lucas can be a bit cheeky.

Watch the shapes carefully.

Let's see what Lucas is going to change.

Are you ready? Look really carefully because he's very cheeky.

(gasps) Did you see what he did? Aisha wants to know, \"Are my shapes still sorted correctly?\" What do you think? Let's see what Lucas says.

He says, \"Yes, they are.

I rotated a shape.

It is still in the correct set.\" Lucas took one of the rectangles that was in the not triangle set and he rotated it.

That means it is still a rectangle so it is still in the right set because a rectangle belongs in the not triangle set.

Aisha's shapes are still sorted correctly.

Oh, I feel like cheeky Lucas might be coming back.

Watch out everybody.

He's going to change something else.

What is he going to change this time? Watch really carefully.

Here he comes.

Oh, what do we think he might have changed this time? Aisha wants to know, \"Are my shapes still sorted correctly?\" Now that cheeky Lucas has changed something, what do you think? Are they still sorted correctly? Let's see what Lucas says.

\"No, I changed a triangle into a rectangle.\" There's the triangle.

Look, that's what was there.

Lucas turned it into a rectangle.

That means it's not allowed to be in that set anymore.

If it's a rectangle, it needs to move into the other set because it is not a triangle.

Well done if you notice that.

You are going to have a go at doing some of that work on your own now.

Have a look at these shapes.

I wonder if cheeky Lucas has changed anything in these shapes that have been sorted? I need you to check if they are still in the right place or if there is something wrong.

Pause the video and have a look for me.

What did you think? Were you happy with how these shapes have been sorted or did you notice something that shouldn't be there? I hope you all spotted that they are not sorted correctly.

I think Lucas has been around moving something.

There was one rectangle here that should have been in the rectangle set.

Well done if you notice that rectangle and said that it needed to move into the first set.

Good job.

Now it's time for you to go and do a little bit of work.

And I have to warn you, cheeky Lucas has moved around the shapes that are in your work so you are going to have to have a look at how these shapes have been sorted.

If you find something in the wrong place, you need to cross it out and see if you can draw it into the correct set because I'm afraid that cheeky Lucas has moved quite a few things around.

First, you are going to have a look at these shapes that have been sorted into triangles and not triangles, and then next, you are going to look at this set.

They've been sorted into rectangles and not rectangles.

Remember, if you find a shape in the wrong place, put a cross on it and see if you can draw it into the correct set.

Off you go, everybody.

Oh my goodness, I can't believe that cheeky Lucas moved around so many shapes in our work today.

Let's see if you managed to find them all.

These are the shapes that Lucas muddled up.

This is the first one.

This shape here, that's not a triangle, that shouldn't be in the triangle set.

It needed to be in the not triangles.

The second shape was this one.

That is a triangle.

Cheeky Lucas moved it.

It needs to be in the triangle set.

The next thing that wasn't right was this one.

It's in the rectangle set, but that shape is not a rectangle because it doesn't only have four sides and four vertices.

We need to cross it out and draw it in the not rectangles.

Do you think there were any more shapes in the wrong place? Yes, you are right.

This one, this is a triangle, but Lucas has put it in the rectangle set, so we need to move it back and say this is not a rectangle.

I still think there might be another shape that cheeky Lucas put into the wrong set.

Can you spot it? This one here.

Lucas put this shape in the not rectangle set, but we know this shape has four sides and four vertices, so it is a rectangle.

You needed to draw it in the rectangle set.

Well done for looking really carefully and spotting all of those shapes that cheeky Lucas moved around.

You thought really carefully about that.

Now that you are at the end of the lesson, you have learnt to count the sides and count the vertices of different 2D shapes.

You know that a rectangle has four sides and four vertices and a triangle has three sides and three vertices.

You can name different shapes and you can sort them into sets.

For example, you would be able to sort shapes into rectangle and not a rectangle.

You have practised naming the shapes, rectangle, triangle, and circle today.

Well done for your hard work in this lesson, everybody.

You have tried really hard.

I hope that you will be back soon and we can do some more math learning together.

I will see you all again.

Bye, everybody.

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This shape has 4 sides.", "image": "https://www.thenational.academy/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1702474336%2Fnqhcwyw3e3e21rlhmk0v.png&w=3840&q=75", "imageKey": "5d9425fa-f37b-ee49-649f-2950cbcf5210/question/45b51e93a956b67e7062afd25f18be79.png" }, "questionType": "True or false", "correct": [ { "text": "True" } ], "choices": [ { "text": "True" }, { "text": "False" } ], "id": "4f758290-bcd5-acc0-4f45-b89dacbc3e90", "lessonId": "19e84f2b-f330-648b-b695-edbb49d19e5e" }, { "type": "Question", "question": { "text": "True or false? This shape has 4 vertices.", "image": "https://www.thenational.academy/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1702474336%2Fr0j9lkg4xc2crgkwskn3.png&w=256&q=75", "imageKey": "5d9425fa-f37b-ee49-649f-2950cbcf5210/question/9d7e1bd0d3db2343b78cbeb42e507bd9.png" }, "questionType": "True or false", "correct": [ { "text": "False" } ], "choices": [ { "text": "True" }, { "text": "False" } ], "id": "778b917d-778a-9a7d-d34a-c1fe3385d22d", "lessonId": "19e84f2b-f330-648b-b695-edbb49d19e5e" }, { "type": "Question", "question": { "text": "Which shape is in the wrong set? 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