Lesson video

Hello, my name is Miss Brinkworth.

And today we're going to be looking at, equivalent fractions, equivalent fractions.

So, let's get started.

First thing, I just want you to make sure you've got what you need for today's lesson.

It's not much, you just need a pencil or a pen, and something to write on, paper or exercise book.

So, just pause the video here for a moment, while you just make sure you've got something to write with and something to write on.

Wonderful.

Okay, so, let's get thinking about Maths again and before we get started on some new learning, pause the video and go and do the introductory quiz for today and get thinking about Maths again.

So, pause the quiz back, pause the video back and do your quiz, please.

Okay, coming back together, let's start thinking about fractions for today.

So, I'd like you to have a look at this picture, and I'd like you to think about what fractions you can spot in the picture.

So, have a look at the London ID and see the other wheel.

What fractions can you see, think about the different colours that you can see on that wheel.

What fractions can you say that the wheel is maybe split up into.

And have a look at the line as well.

You could think about as a group, which has been split into equal parts.

So, have a look at that picture, there's no right or wrong.

It's completely what you can see.

So, just pause the picture and have a think about what fractions you can see in that picture.

Okay, coming back together.

What can we see in this picture? I'll take you through some of the things that I've seen.

I'm sure you've seen more than me as well.

So, having a look at the wheel, it is split in half.

I can see that there is a green section, which is half of the wheel.

So, the green part is half.

The orange part of the wheel is a quarter.

I can see that that's a quarter of the wheel.

If you look at the pods on the outside of the wheel, they are 12 of them.

So, the wheel has been split into 12.

So, if you look at the purple sections, there were two of those.

So, two twelves is what the purple section represents.

If I talked about whole of the wheel, it could be 12, 12.

Looking at the queue as well, there are nine people in that queue.

So, the whole queue, I could write it as nine ninths.

Or, I might just want to talk about the people in the.

the adults in the queue.

I can see that there are four I think, four taller people in the queue.

Four over nine would be the adults in the queue.

What about the children in the queue? And there seems to be two children at the end of the queue.

So, two over nine, would represent the children in that queue.

So, we can see from this picture, that there are fractions all around us.

So, maybe you could try and have a look at, spotting some fraction on your day-to-day.

Okay, so, talking more deeply then, into some learning that we've already done.

You know, I hope that fractions are part of a whole, equal parts of a whole.

So, it might be a circle or some food that has split up into equal slices, equal parts.

It might involve, sharing equally, something like a bag of sweets.

Well, we've looked as well I know a lot at this fraction wall, where we can see that a whole, the red bar at the top of the fraction wall can be split up differently.

That this is what we're going to be looking at in some detail today.

But how different fractions, different parts of the whole can we split up differently? So, we going to do our Star Words, I'm going to say them and you're going to repeat them.

So, the "fraction, equivalent, equal to, whole, part, quarters, halves." And these are the words that we're going to be focusing on today.

Okay, we can have a little bit of learning here.

And this is something that some people tend to find a little bit confusing.

So, when we normally talk about numbers, they get bigger as we move along.

So, three is bigger than two, and four is greater than five.

But, with fractions, they work a little bit differently to that.

Unit fractions, with unit fractions, where we know that one is the numerator, the greater, so, the bigger the denominator, the smaller the fraction.

Now, that can be a little bit confusing.

'Cause that's not normally how it works.

But have a look at this picture 'cause might make it a little bit clearer for you.

Now, would you rather have one quarter or one half? Which one is bigger? Which one is greater? One half or one quarter.

And hopefully you can see from that pink picture that the half is bigger.

If you have half of something, you have more than if you have a quarter of something.

The important factors to remember today, that actually with unit fractions, the bigger the denominator, the smaller the fraction.

Okay, now, we've talked about our Star Word secret today, and the key that we're going to be looking at is equivalent, equivalent.

It's quite a long word, but it just means "the same," when something is the same.

They might be split up differently but it is the same.

So, we've got some pictures here, all of which represent the same, something which is equal, identical, something which is an absolute match.

Your turn then.

What do you think all of these pictures represent? They all represent the same thing.

How do you know? And how can you check? So, we've got a star there, an orange, some pie, and we've got a circle that's been split up.

What do you think they all represent? Hopefully, you can see that all of these pictures represent half.

How can we check that? Because on each picture, there are two equal parts.

Two equal parts equals a half.

And that's going to be really important for our lesson today to recognise a half, okay.

Moving on then, what do you think all of these pictures represent? We haven't got two equal parts anymore.

What do you think they represent? How can you check? How many equal parts have we got? We've got one, two, three, four, lovely pieces of chocolate there.

So, we haven't got halves anymore, we've got quarters.

Where we have four equal parts, it's quarters.

So, if I want to check, I can just count them, see that there are four, and then I know that I've got quarters.

So, halves and quarters are going to be our focus for our equivalent fraction lesson today.

Now, here's the fraction wall.

We've done lots of other fraction walls recently.

So, have a look, what can you see? What fractions are being represented in this small part of the fraction wall? Pause the video, and have a look.

Okay, hopefully you can see, we've got three different fractions represented on this faction wall.

We've got one whole, the purple section is one whole.

What do you think is going to appear in the red section? We've got two equal parts.

What is going to appear in the red section? Each of the red section of course represents a half.

So, two halves is equal to a whole.

What can you think is going to appear in the grey section then.

What do you think it's going to appear in each grey section? What does each small grey section represent? Did you get it right? Then here's our key learning for today.

We are learning that, one whole, two halves, and four quarters are all equivalent.

They are the same as each other.

I would like to think of this, as something can be split up into as many different parts as you like, but it's still the same thing.

If I give you a whole cake, it would still be the same whole cake if I had split that up into two pieces, or if I'd split it up into four pieces.

So, that's what our equivalent fraction work is about today.

Things can be split up differently, but they can still represent, they can still be the same thing.

So, let's delve a little bit more deeply into that.

Here's your fraction wall again.

Now, look at this sentence then.

I know that blue bars equal yellow bars.

So, what if I say I know that one blue bar represents how many yellow bars.

How many yellow bars are there for one blue bar? Well, I know that one blue bar represents two yellow bars.

I can see two yellow bars underneath one blue bar.

They are both the same, they are equivalent.

What about two blue bars then? How many yellow bars are there, underneath are the same as two blue bars? Well, I can count them, four, one, two, three, four yellow bars are the same as two blue bars.

I know that one half is the same as two quarters, because one blue bar is one half, and two yellow bars is two quarters.

So, one half is the same as two quarters.

These pictures here, also represent half and quarters.

One half is the same as two quarters.

This picture also represents one half, which is the same as two quarters.

Now, this one is a little bit different, because we can see that the quarters on that bar at the bottom happens to split up, but they are still two equal parts out of four.

The quarters don't have to be next to each other, to still be quarters.

So, just bear that in mind when you're looking at some of the pictures that come up later.

Okay, your turn now.

Having a look at that fraction wall we've just been working with, have a go at these questions.

Okay.

Which of these fractions is equivalent, we have three fractions there with only two of them are equivalent.

Is it one half which are equivalent? Which ones are the same? One half, four quarters, two quarters.

It troubles that four quarters is equivalent to two halves.

And how many quarters make one whole, and how do you know? Pause the video here and have a look.

Have a go.

Okay, coming back together then.

Which of these two fractions are equivalent? One half, right, I know that one red section of my fraction wall there is one half.

How many quarters are there underneath one half? I can see that there are two grey sections under one red section.

So, I know that it must be that one half is equivalent to two quarters.

Okay, so, true or false? Are four quarters equivalent to two halves? Well, my four quarters and my four grey sections at the bottom of the fraction wall.

Are they equivalent to two red sections? Yes, they are.

Four grey sections and two red sections are the same thing.

And how many quarters make one whole, and how do you know? Well, the whole is the purple section at the top.

How many quarters are needed to make up that whole purple section at the top? There are four, four out of four is a whole.

And actually, every time you see a fraction that looks like that, where the top number, the numerator and the bottom, the denominator are the same, like that one four and four, it will always represent a whole.

Have a look at them.

It's time now for you to do, your independent main activity.

I'm going to show you one of the questions before you go and do the others.

So, having a look at the questions here, you need to match each fraction with its equivalent, with its equivalent.

So, we have one over one, which I know is a whole.

We have two over four, two quarters and we have one quarter.

So, one of these pictures represents a whole, one represents two quarters and one represents one quarter, right.

What if I look at the green circle, I can see that that must be a whole.

Although its been split into four, I've got all four sections coloured in green.

So, that one must be equivalent to a whole.

Although I've got four quarters, one, two, three, four, four quarters is the same as a whole.

So, for the first part of your worksheet and your independent work, you will need to finish that question and then there's another section as well.

So, I'm going to ask you now to do your independent activity, and pause the video well for as long as you need to get that finished.

Coming back together then.

We've already done this one, where we know that four quarters is one whole.

Next, we can see that, one quarter is represented by this bar at the bottom where we have one blue section out of four total sections.

That means that two quarters goes to this part here.

Now that's a little bit confusing, because I can see that this picture really represents a half but, I also know that two quarters and one half are the same, they are equivalent.

So, two quarters and one half they match as well.

Okay, moving on to the second part of your worksheet, you need to find two equivalent fractions out of the ones below.

So, we have three quarters, one whole, and two quarters.

So, which of these is equivalent? Which of these is equivalent? How did you get, oops, sorry.

I thought that was a problem with that question.

My apology, there's another one missing there.

Four quarters is what you have on your worksheet.

So, which of these are the same? And you can see here, that one whole and, sorry, one over one, one whole is the same as four quarters.

And like I mentioned to you before, every time the numerator and the denominator match, then it is a whole.

So, one over one and four over four are equivalent fractions.

They are the same.

You had two quarters, two quarters, we've already talked about is equivalent to one half.

So, those are your two equivalent fractions that you've got below in that question.

So, section B.

Would you rather have half a pizza or quarter pizza? I think I would rather have half a pizza because half is bigger than a quarter.

So, I would rather have half a pizza, more delicious pizza.

Okay, the last section on your work sheet.

Complete the boxes, so, half is equivalent to two quarters and four over four, four quarters is the same as two halves.

So, hopefully you got on well with that work.

You just need to do your final knowledge quiz now at the end of the lesson where you can recap some of the learning that we've done today.

So, pause the video now and have a go at the knowledge quiz at the end of the lesson.

And finally, well done.

You have finished today's lesson.

Thank you so much for joining me to talk about equivalent fractions.

I will be here again tomorrow for more work on fractions.

So, thank you very much, and I hope you have a lovely end of your day, goodbye.