Lesson video

Hello, everybody.

My name is Mrs. Johnson.

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

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

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

Today's lesson is called Compose Tangram Images, and it is from the unit Recognise, Compose, Decompose, and Manipulate 2D and 3D Shapes.

By the end of the lesson, you will be able to compare and discuss individual tangram pieces, and you will be able to make your own pictures too.

This might be something new that you haven't learned about before, but don't worry, because we're going to go through it together and have lots of fun.

If you have learned about making patterns and pictures before, that learning might help you with what we're going to be doing today.

So maybe you could have a little think about what patterns and pictures you have made in some of your other lessons.

There are three key words that we are going to be using in this lesson today.

So we're just going to go through and practise saying each one of these words.

I'm going to say it first and then you're going to say it after me.

Our first word is tangram.

Can you say tangram? Good job.

Then we have the word triangle.

You say triangle.

Well done.

And our last key word today is square.

Can you say square? Good job.

Listen out for those words, tangram, triangle, and square, throughout this lesson today because they are going to help you with your learning.

There's going to be two parts in this lesson.

To begin with, we're going to be learning about things that are the same size and thinking about whether things might be bigger, or smaller, or the same.

Then in a little while, we're going to learn about making pictures and you will be able to have a go at making some pictures of your own, which is going to be lots of fun.

So let's get started by looking at things that are the same size.

We have two friends in this lesson who are going to help with your learning too.

We have Sophia and Jun.

Look out for those because they will be able to help you as well.

Sophia has some blocks.

We can see a picture of them on the screen.

I would like you to just have a look at Sophia's blocks and think about what do you notice.

If you would like longer to think, you could pause the video.

If you have a partner or a friend there, maybe you could even tell them what you notice about Sophia's blocks.

You might notice that Sophia's blocks are all different colours.

You might notice that Sophia's blocks fit together to make a shape.

You might notice that some of Sophia's blocks are bigger and some of her blocks are smaller.

And you might have even noticed something else as well.

Sophia's blocks are a special type of block.

They are an ancient Chinese puzzle.

That means a puzzle that has been around for a very long time.

The puzzle is called a tangram.

Tangram pieces are special because they can fit together to make a square.

You can see that happening on the screen now.

So if you watch, the pieces can join together.

They can fit together to make one square.

We'll watch it one more time.

Watch those tangram pieces fit together to make a square.

Jun is thinking carefully about the tangram, and he's thinking, I wonder how many pieces there are in a tangram? Perhaps you could pause the video and have a quick look to see how many pieces you think there are.

Did you count them? Let's have a go at counting them together.

We have one, two, three, four, five, six, seven.

A tangram is made of seven pieces.

What do we notice about those pieces? Can you see anything special about those pieces? Do you notice anything about the shapes or the sizes? Let's have a look.

I can see a triangle and another triangle.

And there is another triangle there.

Do you think there's any more? Yes, you're right.

There is a triangle in the middle, and there is a triangle here as well.

So we have got a yellow triangle, a green triangle, a pink triangle, a black triangle, and a red triangle.

What about the other pieces? There are still two pieces left, and they are not triangles.

What do you think those are? The blue piece is a square.

And then we have the orange piece left.

The orange piece has quite a long name for this shape.

It is called a parallelogram, but that's not going to be one of our keywords today.

You can just call it the orange piece.

Now we know the names of the seven pieces.

Did anybody notice how many of those pieces were triangles? Let's just count the triangles.

Ready? One, two, three, four, five.

There are five triangles in a tangram.

Jun is asking a very interesting question that you could have a look at.

Are all the triangles the same? Pause the video again if you've got a partner or a friend who you could talk to about John's question.

Are all the triangles the same? No, they're not.

You might have noticed that the triangles are different colours.

So we noticed a few minutes ago that we have a red triangle, and a yellow triangle, a green triangle, a pink triangle, and a black triangle.

So the colours are all different.

But you might have also noticed that the triangles are different sizes.

So we have two triangles that are large.

We have one triangle that is medium.

And we have two triangles that are small.

So we have three different sizes of triangles, large, medium, and small.

They are different sizes.

Look at these three tangram pieces carefully and see if you can match each piece to its description.

So the first one says small triangle.

The second one says square.

And the third one says medium triangle.

Which tangram piece should match each speech bubble? Pause the video if you need more time to do this.

Let's have a look.

How can we match those tangram pieces? So the green triangle is the small triangle.

The blue piece is the square.

The pink piece is the medium triangle.

If we look carefully at the green triangle and the pink triangle, we can see that the green one is smaller.

That is how we know the green one is the small triangle and the pink one is the medium triangle.

Now Jun is wondering if any of these pieces might be the same size.

What do you think? Can you see any pieces that might be the same size? Jun's had a really good idea.

He's going to put some pieces on top of each other to test it out to see if he can find any that are the same size, so let's watch what is he going to do first.

He has put the yellow piece on top of the red piece.

And he has found out that he was right.

There are pieces that are the same size.

The two large triangles are the same size.

We can see that the yellow triangle fits on top of the red triangle, so they are the same size.

I wonder if there's any more? Can you see any other tangram pieces that might be the same size as the large triangle? Let's see what Jun does this time.

Oh, he's taken a medium triangle and another medium triangle.

And we can see two medium triangles are the same size as one large triangle.

Do you think there might be any more? What if Jun started with a square? Can you see any of the tangram pieces that could be the same size as the square? Let's have a look.

Jun is putting two small triangles on top, and he can see that two small triangles are the same size as one square.

You're going to do a quick check now to see if you can spot which pieces might be the same size.

Could it be one square and two small triangles are the same size or could it be one large triangle and two small triangles are the same size? If you're not sure, you could go and get some tangram pieces of your own to go and test out your ideas.

Let's try moving the pieces that are on the screen and putting them on top, and then we'll be able to see which pieces are the same size.

If we put two small triangles on top of the square, they are the same size.

If we put two small triangles on a large triangle, we can see they are not the same size, because the small triangles have not covered up the shape that's underneath.

I can still see the large triangle.

Well done if you said one square and two small triangles are the same size.

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

You're going to use Jun's idea of putting tangram pieces on top of each other to see if they're the same size.

And you're going to see how many different ways can you complete this sentence.

Mm are the same size as mm.

Now, to help you, we're going to watch one that Jun does, and then you're going to go and find some more ways.

So Jun is going to choose the square to start with.

And he is going to put two small triangles on top of the square.

And he can see that they are the same size.

So Jun's sentence would be, two small triangles are the same size as one square, or he could say it the other way around.

He could say one square is the same size as two small triangles.

Both of those would be correct.

Now it's your turn to use your tangram pieces and see how many different ways you can complete that sentence.

Off you go.

Well done for trying out your ideas with those tangram pieces.

Let's have a look at some ways that you might have put your pieces to find some that are the same size.

We can see that one large triangle is the same size as two small triangles and one square.

So there are three pieces needed to make it the same size.

In the middle, I can see that the medium triangle is the same size as two small triangles.

And in the last picture, I've got one large triangle is the same size as two small triangles and an orange piece, or if you were trying to use that long name, the parallelogram.

I wonder what other ways you found to complete that sentence.

Did you put your pieces on top of each other like these to check the size? Well done if you did.

You've worked really hard with your tangram pieces.

Good job.

Now we're going to move on to the second part of our lesson, where we're going to have a look at making pictures.

I think you're going to really like this bit.

This is lots of fun.

We're going to have a go at making some different pictures, which is very exciting.

Sophia has chosen three of her tangram pieces, and she wants to know what pictures she could make with those three.

If you have your tangram pieces near you, perhaps you could pause the video now and see what pictures you could make with three of your tangram pieces.

Let's have a look.

What could Sophia make? If she moves her tangram pieces and joins them together, she could make this picture or she could make this picture.

So depending on where she chooses to put them, she can make different pictures.

Now Sophia is wondering, what other pictures could I make? She wants to make some different ones.

If you rotate or flip your tangram pieces, you can make different pictures.

If Sophia rotated her pieces, if she spun them round, she could make a different picture, like this one or this one.

Rotating and flipping pieces is really useful for making different pictures.

Now you're going to do a check.

You're going to look at these three tangram pieces and decide which picture could you make with these three.

You are allowed to rotate and flip them.

Could you make picture a? Could you make picture b? Or could you make picture C? Pause the video if you need a little bit longer to think about it or if you would like to go and get your tangram pieces and test out your ideas first.

You could make picture b with these tangram pieces.

If you look really carefully, a has an orange piece that isn't at the top and c has a pink triangle piece that isn't at the top.

Now that Sophia's made some pictures with three pieces, she wants to know what pictures could she make if she used all of her pieces, all seven tangram pieces.

She might be able to make some really exciting pictures.

Let's have a look.

If she laid them all on top of this picture, if she laid all her pieces on top of this diagram, she could make this picture.

Let's see what that would look like.

So she could place her small triangles, her square, her medium triangle, her large triangles, and her parallelogram, her orange block.

And now she has made a picture that looks like a cat.

She used all seven of her tangram pieces.

Jun really likes watching Sophia make her picture, but he doesn't want to make a cat.

He wants to make something else.

So Jun is going to lay his tangram pieces on top of this diagram.

Let's watch what Jun does.

He's placed his small triangles, his square, his medium triangle, his large triangles, and his parallelogram, his orange piece.

He has used all seven tangram pieces.

And he has made a picture of a shark.

Now Sophia is making another picture.

And she needs one more piece to complete her picture.

Can you look carefully at her picture and see which piece you think she might need to finish her picture? Do you think it's a, b, or c? Sophia needs a.

If you look carefully in her picture, you can see she has already used up her small triangle pieces.

The piece that she needs, the piece that she hasn't used yet is the red large triangle.

She needs piece a to finish her picture.

And she needs to rotate it to fit it onto the diagram.

Now it looks a bit like an aeroplane or perhaps another type of shark or fish.

Let's have a look at some more pictures that children have made with their tangram pieces.

But this time they look a little bit different, because the pieces don't have any colours on them.

We can still see the shape, but we can't see the colours.

You could copy their pictures, but you would have to look really carefully at the size and the shape of each picture because you can't match the colour.

The first picture is made of a square piece and a triangle piece.

That means I need my square piece and a small triangle to fit together like that.

The second picture, I can see there is a triangle and there is a parallelogram, that orange piece that we were talking about earlier.

Even though it's not orange anymore, we recognise that shape.

We can remember that is the orange piece, the parallelogram.

And the triangle is the same height as the parallelogram.

So that means that I need to choose the medium triangle.

The small triangle would not be the same height as the orange block.

And the large triangle would be too tall.

So it's the medium triangle and the parallelogram, the orange block, to copy the second picture.

Now on the last one, I can see a triangle and a parallelogram again, but this time, the triangle is smaller than the parallelogram.

So that makes me think I must need to choose the small triangle with the orange block, the parallelogram.

If I used the pink triangle again, it would be too tall, so I know it needs to be the small triangle.

Can you look at this picture carefully and really think about the size and the shape of each piece to see who has copied it correctly? Do you think Sophia has copied it correctly or do you think Jun has copied it correctly? Pause the video if you need a bit more time or if you want to test this out with your own tangram pieces.

I can see that Jun has copied the picture correctly.

I wonder why Sophia hasn't copied it correctly.

What is wrong with Sophia's pieces? Her triangle that is on the top is too big.

Well done if you spotted that.

Good work.

Now it's time for you to go and do a little bit more practise.

What I would like you to do this time is copy the pictures that you can see on the sheet.

If you have a friend, or a partner, or a grownup working with you, you could also try and make a picture and ask your friend to copy your picture.

And then you can swap around.

They can make a picture and you can copy theirs.

Once you've done that, there is one more practise that I would like you to do, so let's have a look at what you're going to do next.

You are going to use your tangram pieces again, but this time you're going to see if you can make the pictures that you can see using all of your tangram pieces.

If you want to, you could even see if you could make some pictures of your own.

Now you're going to take your tangram pieces and see which pictures you can copy and which pictures you can make by yourself.

Off you go.

Well done for trying out your ideas with those tangram pieces.

Let's have a look at some of the ways that you might have copied these pictures.

So you might have used a large triangle and a medium triangle.

For the second one, you might have used two small triangles.

For the next one, you might have used a square and a parallelogram, an orange piece.

And for the fourth picture, you could have used two large triangles.

Did you do it this way or did you find a different way of copying the pictures, I wonder? For the second practise, this is what your pictures might have looked like.

I think the first one looks a bit like a chicken.

And the second one looks like a goose.

And the third one looks like a big, tall cake with a candle on the top.

Did you make your pictures like this or did you find a different way of doing it? I wonder if you even managed to make some pictures of your own.

You've worked really hard with your tangram pieces.

Good job.

Now that we're at the end of the lesson, we have learned that a tangram is a special puzzle, and it's made of seven pieces that fit together to make a square like this.

You know that you could move, rotate, and flip the pieces to join them together and make lots of different pictures.

You know that you can move, flip, or rotate the pieces to make different pictures like these.

You've also learned to look really carefully at the size and the shape of each piece so that you can copy and make different pictures.

You have done a very good job today and worked really hard with your tangram pieces.

Well done, everybody.

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

Bye.