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

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

Today's lesson is called Radiating Patterns, and it is from the unit, recognise, compose, decompose, and manipulate 2D and 3D shapes.

By the end of this lesson, you will be able to describe and extend radiating patterns.

Don't worry if you are not sure what that means at the moment, we are going to be learning it together and we're going to be brilliant today.

You might have already learned about some other kinds of patterns.

Maybe you remember learning about repeating patterns or about using pattern blocks to make pictures.

Some of that learning that you've already done will help you today, so keep thinking about that.

Let's have a look at our keywords today.

We are going to have four keywords to help us in this lesson.

Let's read them first and then you are going to practise saying them.

Our keywords are radiating pattern, middle, outside, and extend.

Now you're going to have a go at saying them.

Listen to me, and then you say each word.

Ready? Radiating pattern, middle, outside, extend.

Nice job.

Well done.

Listen out for those keywords throughout this lesson and see if they help you to learn a little bit more about what a radiating pattern might be.

This lesson is going to have two parts.

First, we're going to learn how to describe radiating patterns, and then a little while later we are going to learn how to extend radiating patterns.

Right now, let's learn about describing radiating patterns and have a look at what a radiating pattern might be.

We're going to have two friends who help us in this lesson.

We have Andeep and Izzy today.

So look out for Andeep and Izzy, because they will be helping us with our learning too.

You can see on the screen a radiating pattern.

I wonder how you might describe this pattern? Have a look at what you can see and think about how you might describe this pattern.

You might be thinking that there is a yellow block and there are some purple blocks and there are some green blocks.

You might notice that the yellow block is in the middle.

You might notice that the green blocks are on the outside.

There are lots of different things that you can notice about this pattern, and it's really good that you are looking and noticing because that's going to get your brain thinking more about radiating patterns.

This is a radiating pattern because it starts in the middle and it grows around the outside.

Here is another radiating pattern that Andeep has made.

Andeep says, "I put a yellow block in the middle.

Then I put squares all the way around the outside." We can see that in his pattern, can't we? That there is a yellow block in the middle and then there are pink squares all the way around the outside of the yellow block.

So he has made a radiating pattern because his pattern is growing all the way around the outside.

Let's have a look at another one.

This is a radiating pattern that Izzy has made.

And Izzy says, "I put a yellow block in the middle." That's the same as Andeep.

"I put a yellow block in the middle.

Then I put red blocks all the way around the outside.

Then I put squares all the way around the outside of those." So that's why Izzy's pattern is a bit bigger than Andeep's pattern because she has grown her pattern all the way around the outside twice.

She went around the outside with red blocks, and then she went around the outside again with pink blocks, so she has made a radiating pattern because she has grown her pattern all the way around the outside.

I want you to look at these three patterns and see if you can choose which one is a radiating pattern? Pause the video if you need a little bit longer to think.

Well done if you said B.

We can tell B is the radiating pattern because it starts in the middle and it grows all the way around the outside.

Now, you're going to go and do a little bit of work about radiating patterns.

I would like you to look really carefully at these radiating patterns that some other children have made.

And what I would like you to do is point to the pattern blocks that are in the middle of the pattern.

Then point to the pattern blocks that are around the outside and then see if you can work out how many times does the pattern grow all the way around the outside? So think about where the pattern started in the middle? How many times does the radiating pattern grow all around the outside? Off you go.

Go and have a go at that work.

Well done for looking at those radiating patterns so carefully.

Let's have a look at what you might have said.

If you were looking at this pattern, you might have said, I see two red blocks in the middle.

I see pink square blocks all the way around the outside.

I see green blocks all the way around the outside of those.

You might have added some extra information about how many blocks are around the outside, or you might have even used the names of some of the shapes of the blocks.

If you spotted the blocks that were in the middle and the blocks that were around the outside.

Well done.

You have done a good job on that first piece of work.

Now we're going to move on to our second part of our learning where we are going to find out how we can extend a radiating pattern.

So what I would like you to do is watch the pattern on the screen, think about what you notice, what is happening? Ready? Let's watch.

It starts with one yellow block in the middle.

Now let's see what's going to happen.

Ooh, some red blocks have been added all the way around the outside, and if we take those away again this time, let's count the red blocks and see how many are added around the outside? Ready? Let's count 'em together.

Off you go.

One, two, three, four, five, six.

Six red blocks have been added.

I wonder what's going to happen to the pattern next.

Look carefully.

See what you notice this time.

What did you notice? This time, pink square blocks have been added all the way around the outside.

Let's take them away again, and this time let's count how many pink square blocks have been added? Ready? We'll count them together, off we go.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

12 pink square blocks.

If we want to describe what we've noticed about this pattern, we could say the pattern starts with one yellow block in the middle.

Then it adds six red blocks all the way around the outside, and then it adds 12 pink blocks all the way around the outside.

That was very good noticing.

Well done.

You can extend a radiating pattern by growing it, by making it bigger.

Watch this radiating pattern extend and see what you notice.

While you're watching, have a think about Izzy's question.

How many of each block will I need to add? How will I know? So how might Izzy know how many blocks she needs to add to extend the pattern? Let's watch the pattern extend and see what you notice.

Ready? Did you see the pattern growing? The radiating pattern was extended because it grew bigger all the way around the outside.

Now I'm going to take those blocks away.

We're going to watch the radiating pattern extend again, but this time we're going to think about Izzy's question.

How many of each block will I need to add? So let's have a look.

First, Izzy has added some purple triangles.

How many purple triangles has she added? One, two, three, four, five, six.

She has added six.

I wonder why she has added six.

Let's watch the next blocks.

We've extended the pattern again, how many green blocks have been added? Let's count them together.

One, two, three, four, five, six.

Six, again, the same as the purple blocks.

Let's watch the pattern extend again.

This time, Izzy has added red blocks.

How many red blocks has she added? We'll count them again together.

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

It's six again.

Do you notice anything about this pattern? That means that each time it's been extended, there are six blocks that have been added? Yes, I think you're right.

It's the yellow block in the middle.

When we extend a radiating pattern, we have to add blocks all the way around the outside.

And our yellow block in the middle has six sides all the way around the outside, so that means each time we extend it, we need to add six more blocks.

Have a look at this one.

I wonder if you could work out which blocks could Izzy use now if she wants to extend this radiating pattern again.

So look at the pattern she's already made.

Which blocks could she choose to extend the pattern? So you could choose purple blocks, yellow blocks, or blue blocks.

Pause the video if you need a little bit longer to think about it.

Izzy would choose the purple blocks.

If you found that a little bit tricky, let me show you something.

You could use counting to help you.

If you look at how many blocks there are in A, there are six purple blocks.

In B, there are three yellow blocks, and in C there are four blue blocks.

Look at the radiating pattern that Izzy has made.

Can you see how many spaces there are around the outside where she could add more blocks? Let's count the spaces together.

One, two, three, four, five, six.

There are six spaces to add a block that could help us to decide that it must be A because A has six more blocks to add.

Now we're going to find out how you can make different radiating patterns even if you start with the same block in the middle.

Watch these two patterns.

They are both starting with the same pattern block in the middle.

Then these patterns are going to extend by growing all the way around the outside, but they've chosen different blocks.

Now they're going to grow all the way around the outside again.

We've created two different radiating patterns with the same pattern block in the middle.

You can create different patterns by choosing different blocks to go around the outside.

You're going to do this check to see if you can match what Andeep is saying to one of the patterns to see if you can work out which pattern did Andeep make? So listen carefully to what Andeep is saying.

See if you can work out is he talking about pattern A or pattern B? Andeep says, "I put one yellow block in the middle.

Then I put six red blocks around the outside.

Then I put 12 pink square blocks around the outside of those." Pause the video if you need a bit more time.

Andeep is talking about pattern A and the important bit to notice is when Andeep said, "Then I put six red blocks around the outside." So he started with a yellow block and then he put six red blocks around the outside.

That is how we can tell he's talking about pattern A.

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

If you don't have any pattern blocks of your own to use, ask an adult to help you cut these out and you'll be able to use these to do this piece of work.

Then what you are going to do if you have your own blocks have a go at making some radiating patterns of your own.

If you don't have any blocks or if you're finding it a little bit tricky to make a radiating pattern, you can use the ones that you can see on the screen now.

Then you are going to try and extend your radiating pattern, so you're going to make your pattern grow all around the outside.

Once you've done that, have a think about whether you could choose different pattern blocks to extend your radiating pattern in a different way.

Off you go to go and make those radiating patterns.

We'll be back in a few minutes.

I hope you enjoyed making all those radiating patterns.

Here is a radiating pattern Andeep made, and Andeep is describing his pattern.

He says, "I chose triangles to extend the radiating pattern." Can you see how the triangles have been added? Then Andeep says, "I added more squares all the way around the outside." Let's watch his squares appear.

There they are.

So Andeep chose triangles and then squares to extend the radiating pattern.

I wonder if that's what you did as well.

Now let's have a look at Izzy's pattern.

So Izzy says, "I did the same as Andeep." We can see, can't we? That Izzy's pattern looks the same as Andeep's pattern at the moment.

But then Izzy did something else, she says, "Then I used more triangle blocks all the way around the outside to extend the radiating pattern again." Can you imagine what that's going to look like? I'll give you a couple of seconds to picture it before I show you.

Izzy is going to add more triangles around the outside.

What do you think that will look like? Let's have a look.

Wow, look at that pattern.

So in those spaces all the way around the outside, Izzy has filled them with triangle pattern blocks.

Now that we're at the end of this lesson, you know that radiating patterns are a special type of pattern that start in the middle and grow all the way around the outside.

You also know that you can extend a radiating pattern by making it grow all the way around the outside, so you can choose different blocks to place around the outside of your radiating pattern to make it get bigger and bigger.

I really hope that you've enjoyed making radiating patterns today.

You've worked really hard and you've learned lots of new things, well done.

I will see you again for some more maths soon.

Bye.