Lesson video

Hi everyone.

And welcome to lesson two in our unit on fractions in year three.

Today's lesson is all about equal and unequal parts.

Okay.

If you're ready, let's get started.

In this lesson, we're going to need a few things.

So make sure that you've got before we start a pencil and a ruler, some paper, some manipulatives, things like marbles, small toys or cubes, but don't worry too much if you don't have those at the moment, we can go and get them later.

And possibly some shapes draw around.

Or if you're feeling confident, you might be able to draw around them yourself or trace them off my screen.

If you haven't taken the quiz at the start of the lesson, pause the video and do that now.

Okay.

Onto our star words.

Again, my turn, your turn.

Part.

Whole.

Part of the whole.

Split.

Equal.

Unequal.

Now the words part and whole we use yesterday.

So hopefully we're feeling quite confident about using them.

The most important ones for us to use today are equal and unequal.

If we're not so sure about them, hopefully by the end of the lesson, we have a much better understanding of what they mean.

As a bit of a warmup, I want to get us thinking about equal and unequal parts and splitting shapes up into parts.

Now I've given you five different shapes here.

Take those shapes.

You might want to draw around them on a piece of paper.

You might want to draw your own versions of them and then cut them out and try and split them up into different parts.

Have a look at the parts that you've created.

Are they equal? Are they the same size as each other? Or are they not the same size? Are they unequal? Try that with a few different ones.

Can you try and make them equal sizes? How many parts of you split them into? Discuss that with people around you? Pause the video now and have a go and then play when you're ready.

Right guys.

Now we've had a bit of a go with that let's carry on.

So have a look at these shapes.

Now this is a piece of paper.

For example, is it split into equal parts? Well, this one is one equal part.

It's on its own.

We haven't really cut it into anything.

Now the whole of this is the piece of paper, but there are now two, we've cut it into two parts.

And the parts we can see are the same as each other.

They are equal to each other.

So there are two equal parts.

Now this example, again, we've got two parts, but are the parts equal? No, they're not the same hope you can see that.

So these are unequal.

So the whole is the piece of paper.

There are two unequal parts.

And what about these shapes? You have it though let's use our language, sentence stems here and try and use these to help us.

Let's have a look at this example.

How many parts is this split into? That's right? There's four parts there.

So the whole is split into four.

Are they equal or unequal? Yeah, these aren't the same as each other.

So they are split into four unequal parts.

This one, we can see that all the parts are the same as each other, so they must be equal to each other.

So the whole is split into four equal parts.

Now I've kind of had to go with you is your turn.

So here are some different examples like we've just done.

I'm giving you a shape, and what I'd like you to do is go through and work out how many parts it's been split into and whether they are equal or unequal.

Make sure you try and explain how you know, whether it's equal or unequal to someone who is with you.

Okay? Best of luck.

Pause the video now and when you've finished, come back and we'll go through that.

Right guys.

We're ready to play through that and look at the answers.

Now we can see that this shape what's that shape called? That's right, it's a pentagon.

It's regular pentagon.

This is split into two parts, but are they equal or unequal? They are unequal because they are not the same as each other.

Here we can see that the whole is split into two, but the parts are equal.

So the whole is split into two equal parts.

Let's have a look at our rectangle.

This is a whole and now we've split it into six.

Are they equal unequal? They are equal parts.

So there are six equal parts.

Now these we've split it into six parts again, but these parts we can see are not equal.

They are equal parts.

So there are six unequal parts.

Last one.

This is the whole.

The whole, now this is quite a complicated one.

Are they equal or unequal do you think? Why do you think that? Okay, we can see the actually, although they are different orientations, they're actually all right angled triangles.

Just move around slightly.

And they are all the same size.

You might want to draw around it and cut it out to double check, to try and prove it.

But this is split into four equal parts.

So possibly trace that and double check.

Make sure I'm not lying to you.

And the last example, the whole is split into again, we've got four one, two, three, four, but they are all unequal parts.

Well done if you got that right.

Okay, let's move on.

Now, develop learning a little bit further.

This time, the whole is actually a quantity of something.

It's a number of something.

So here you can see, we have got 10 rectangles.

So the whole is 10 rectangles.

Now I want to know, I want to get you to think how many parts are there.

Well, at the moment, you could almost argue that there are 10 equal parts 'cause there are 10 rectangles and they are all equal to each other.

But could we make some different examples? How many equal unequal parts could we make with 10 rectangles? Pause the video and think about that.

Okay.

I'm going to give you an example before you get started and have a go at this yourself.

Here I have a go at taking those 10 rectangles and rearranging them.

So now actually you can see the 10 rectangles I had, but now I've only got one, two parts.

So the whole is 10 rectangles, but there are now two equal parts.

And we know that equal 'cause there are one, two, three, four, five little pieces in each one.

Now using my knowledge of number, I can say oh, yes, great.

I know that because two, lots of five is equal to 10.

Two multiplied by five is equal to 10.

So that shows how the 10 rectangles can be in two parts and they will be five in each one.

So that's giving you an example of one which works to split into equal parts.

Can you think of other examples that would work for that? Maybe you can think of some which are unequal.

Pause the video now and see which other examples you can come up with.

Hey, what did you come up with? Let's have a look at some others you might have had.

Here's another example.

If you knew your times table, you might be able to use this.

So the whole is 10 rectangles.

Yes, it still is.

But now we have got one, two, three, oops! Skipped one, one, two, three, four, five parts.

And are they equal or unequal? Well, they all equal to each other because we can see that there are two in each one.

And going back to our number knowledge, we know that five, lots of two is equal to 10 and there are 10 rectangles.

So we're starting to use our number knowledge to support us now.

Now I said, can you think of equal and unequal ones? Did anyone think of any unequal ways of using the 10 rectangles? What about this example? Now I can see that again, I've still got the 10 rectangles, but now there are starting to be an equal parts.

How do I know that they're unequal? Can you explain that to someone next to you? Great, yes.

So here there's only one, but here there were three in this part and there's two in this part.

So although two of them are the same.

They're equal.

These two are the same and they're equal.

Not all of them are equal and we need them all to be equal.

Okay, great.

Now, here, I've no longer got 10, I've got 15.

So the whole is 15 rectangles.

I'd like you to have a go at what we've just done.

So your task for now is to try and think with 15, how many different ways, how many could I get unequal and equal parts with 15 rectangles? Could you use your times table facts to help you with this? Pause the video now and have a go and see how many different ways you can work out equal parts with 15 minute rectangles or maybe a couple of examples with unequal ones.

Okay, how did you do? Great.

Now with bit of practise on that, I want to give you one more example or one more chance to practise this.

So we want to try and explore equal and unequal parts one more time.

Now I've got some bean bags here.

Now what I'd like you to do is try and look at this set of bean bags and make me three equal parts.

How many bean bags are going to be in each part so we know that it's going to be three equal parts? So you might want to now, if you haven't done already pause the video and go and get some manipulatives that you could use.

These don't have to be anything like cubes or anything, fancy or mathematical it can be anything you've got lying around that you can move around into different groups when you're doing it practically.

When you've made the three equal parts, could you make three unequal parts? And then if you've made three equal parts, one way, how many other equal parts can you make two equal parts? Could you make six equal parts? And maybe we could double the amount to 24 and see how many equal parts we can get then.

Lots of different things to try.

So have a go at this, see how you do and make sure you're always explaining how you know that parts are equal as you're doing this task.

Let's have a look at the answers then.

So if we had 12 bean bags, really, if we want to split them to three equal parts, we're going to need one, two, three, four in each one.

So we're going to need three equal parts of four bean bags.

So you should have had three groups with four in each one.

Now attaching that to our knowledge of number.

We know that three lots of four is equal to 12 and that is going to help us.

Now, the other challenge I gave you was how many other equal parts can you make? Now you could have had, we did three lots of four, but I suppose we could have had four, lots of three.

So we could have had four groups with three in each group.

And that would be another way to split it into equal parts.

We could have had two groups of six or two, lots of six, or we could have had six, lots of two.

Lots of other ways that we could have organised it.

Some of you might have even thought, ooh, I could have had just 12 groups and one in each one.

Well done, if you found all of those different ways of finding equal parts.

I won't go through the ways that you could have three unequal parts, because there are lots of different solutions that you could have had.

I trust that you've got the right answer there.

Okay.

Maybe have time to explain it to someone else in your household to prove that you knew it.

Okay, guys, you worked really hard today, well done.

Make sure if you haven't done already that you now do the end of lesson quiz.

'Cause tomorrow we're going to move on and we're going to look at unit fractions.

Great job guys.