Lesson video

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Today's lesson's going to be a little bit different that's because we are revising your fraction work today.

So we're going to be looking at everything that you've been doing now for the last three weeks and just recapping.

So hopefully, a lot of what you see today, well, you can be very confident with and we're just revising that knowledge today.

So as usual, just make sure you've got a pen or pencil and something to write on.

And if you haven't done so already, please pause the video here and have a go at that introductory knowledge quiz.

Okay, let's get started.

We know that fractions can be represented in different ways.

They can be represented with pictures and we can represent them with numbers too.

So for your warm ups today just to get you back into thinking about fractions I'd like you to write what these fractions represents that you need to write the numbers the numerator and the denominator.

Now I'm just going to do the first one with you just to make sure, because there's a common mistake that people make, which I just want to make sure you avoid.

So looking at question one, we need to count the total number of sections for our denominator and the amount shaded for our numerator.

Now the mistake some people might make is that they might just count the unshaded for the denominator and the shaded the numerator.

This will not give you the right answer.

Please remember that for the denominator you need all of the equal parts.

So the question one that means three.

The denominator in question one is three.

There are three equal parts and one of them is shaded.

So the answer for question one is 1/3.

1/3 of that shape has been shaded.

There are three sections in total and just one of them has been shaded.

Pause the video here and have a go at the rest of those questions.

Okay, how did you get some? Let's have a look at question two.

We can see that that shape has been split into four equal parts.

Two of which have been shaded that gives us the fraction 2/4.

I remember about the fraction 2/4.

Now I know that 2/4 is equivalent, It's the same as 1/2.

That's some learning earlier in the week.

And if you look at question two that shape there, you can see the half of it has been shaded 2/4 and 1/2 are the same.

Question 3 then, that's been cut up into lots of different pieces.

So I'm going to want to count them carefully to make sure I get my denominator correct.

I wonder if you manage that.

I have ten in total and three of them have been selected.

In the question 4, there's lots of different bits there.

Let's count them carefully they're actually seven in total and six have been shaded.

Almost all of them have been shaded.

You can see there's just one that hasn't been that gives you 6/7.

Questions 5 then, it's quite hard sometimes to count those circles that have been split up like that.

What I like to do is start at the top and work my way round like a clock to count all the sections carefully.

If you've done that, you'll see that that split into nine pieces in total, six of them have been shaded.

The final one then, How many pieces has that shape been cut into? it's been cut and split into two equal pieces and both of them have been shaded.

So 2/2.

What do I know about that fraction? I know that if the numerator and the denominator are the same that fraction is equivalent to a whole.

And if I look at question six, I can see that the whole of the shape has been shaded.

Let's move up.

Here are our star words for today.

None of these will be new to you because we're revising today but let's go through them and say them together at home.

So fractions, equal, subtract, denominator, equivalent, whole, numerator, parts, addition, unit fraction.

They're like a thing.

We're just revising these and these words today.

And that will come up in our lesson as we move through your revision today okay? So, some work that you did right back at the beginning of this unit with Mr. Lethan is that fractions are equal parts of a whole.

Equal parts of a whole.

So this question is asking us to identify which of these shapes have been split into equal parts.

Now when you see a question like this, some will be and some won't be.

So if you're going through and you can see that you've got old ticks or all crosses do go back and just check your answers.

So if I look at the first one, that rectangle on the left has it been split into equal parts? Does each part represents the same thing? I think it does.

It's got four triangles.

And as far as I can see they are equal over on the far right as well that shape has been split in half right down the middle horizontally.

Sorry, vertically right down the middle.

And we can see that it has been split into two equal parts.

So that one gets a tick too.

Now if I look at the middle one.

Now I don't think those two parts that has been split into equal.

They're not the same.

The bit at the top is bigger than the bit at the bottom.

So that one does not show equal parts, right.

You're go then.

Have a go looking at these questions.

Which ones do you think deserve a tick because they show equal parts and which ones do not show equal parts and a cross would appear next to them? Pause the video and have a go.

Right, let's see how you got on.

The first one, that rectangle at the top there, that big rectangle going across the top has that been split into equal parts? I can see there are four of them and if they're equal, it will be quarters.

Yes, I think that has I think those four rectangles are equal.

That one gets a cross and sorry that one gets a tick.

What about next to it then? Are all those sections equal in that shape next to it? I don't think so.

I think the ones at the top are smaller.

I don't think that one's going to get a tick.

What about moving down then.

Are those equal triangles in the next shape on the left there? I think they are.

In the middle there, the ones at the top smaller than the ones at the bottom, they are not equal.

Next to it, they all look the same to me.

They look like they're taking up the same amount of space as one another.

So I think that one's equal, but down at the bottom there, the ones on the right are smaller than the ones on the left, So that one is not equal either.

How did you get on? The fractions are equal parts of a whole and we also know that fractions can be represented by numbers or pictures.

So here we need to match the number to the picture.

So I'm going to go through this one with you and then it's going to be your time to have a go.

It's up to you.

When you see a question like this where you'd like to start.

So you might want to start with when you feel really confident on.

Now I look at this question earlier, and I felt, Oh no, I've made a mistake that shape in the middle represents only five as total a denominator of five but actually I'd missed out the bit in the middle.

The denominate for the shape in the middle is six and one of them is shaded.

So that shape in the middle represents 1/6.

I'd made a big mistake.

I had to go back and check.

What else have we got here then? The shapes of the bottom there, here represent 1/3.

There are three sets of crackles and one of them have been shaded in.

If you want to challenge yourself you can see that actually there are four, eight, twelve circles in total and four of them have been shaded 4/12, 4/12 is equivalent to 1/3.

So they represent the same thing.

Going back to these questions then that last one must represent 1/5.

And that's a bit of a different way of representing a fraction on a number line.

That number line is split into five equal bits and one has been selected one fits there okay, your turn then.

Completely up to you which order you would like to answer these questions and maybe you feel really confident with halves and you'd like to start there.

Have a go at matching the number with the picture.

Pause the video and have a go.

Okay, let's see how you got on.

1/3 is right down the bottom here.

That section has been split into three and one, that section has been split into three equal sections and one has been coloured.

Here we have 1/4, that is four equal parts and one of them has been coloured blue.

All right, but we left it then.

We've got 1/2 here that shapes and split in half two equal parts and one of them has been shaded and here we must finish with 3/4.

We've got four equal parts and three of them have been coloured.

Okay, we also know that the total parts equal the denominator and the part selected equal the numerator.

So here on this question, you have to decide the numerator and the denominator for this question.

Now how many equal parts are there in total? Remember count all of them, not just the shaded ones or not just the unshaded ones count all of them.

So in total there are five equal parts, the shape.

How many shaded? Just one we've got one shaded that's 1/5.

Okay, your turn.

How many circles are they in total and how many have been shaded? If you get through that, have go at the challenge.

Can you remember as many equivalent fractions as possible to 1/2? Pause here and have a go.

Okay, let's see how you got on.

How many circles in total? There are eight.

How many have been shaded? five and equivalent fractions to 1/2 if you moved onto the challenge well done, you could have 2/4.

You could have 3/6.

Those are the ones that we taught back in our equivalent lessons, but actually any fraction where the numerator is half the denominator is equal to 1/2.

So you could have 10/20, or you could have 50/100.

They would all be equivalent to 1/2.

Let's move on.

Fractions can be represented in lots of different ways.

These can be equivalent fractions.

And we spent two days on equivalent fractions this week.

So what can you see here? We can see that the shape has got the same amount shaded.

The pictures are the same.

They've just been split up into different amounts of equal sections.

So the first picture shows 1/3.

Three equal sections with one coloured in and the second shows six equal parts and two coloured in.

What about the blue shades then? What is the equivalent fraction? We have 1/2 here.

What is the equivalent fraction shown in that other picture? The equivalent of 1/2 is 2/4.

So we can see from these pictures that it's the same amount coloured in.

They've just been split up into a different number of equal parts, wonderful.

And one of the last things we've done is adding and subtracting denominators of the same fractions which we've done earlier this week.

So there's some questions, two on subtracting and two on adding just remember you don't add or subtract the numerators.

They stay exactly the same.

We just change the numerator.

And we know that when we're subtracting we would expect the fractions to become smaller.

And when we're adding, we would expect the fraction to become bigger.

So let's have a look at these questions together.

6/6 takeaway 2/6.

Six takeaway two.

Six take away two is four, 4/6.

Pick up the next question then I've got eight in total, 8/8 in total and I take six away.

Eight take away six.

What number is missing? It's two.

Keeping on we are adding then we want them to get bigger this time.

If they don't get bigger, we might just want to go back to our questions and just check our working out.

So three add three.

Three add three is six and our denominator doesn't change it's nine.

And to our final question now we have eighths.

We have three add two is five, 5/8.

Hopefully that's all quite freshened your memory from the last few days.

Okay, so moving on to our main activity now.

I will do the first one with you just so that you know what you're doing and then it's time for you to work independently.

So having a look at this first part what fraction of the shape is shaded? Remember that first one.

They're two, two parts of shaded out of four equal parts in total we spent quite a lot of time looking at that.

That first question should be quite easy for you.

So pause the video here and have a go at that independent task on your own.

Great, let's have a look how you got on.

So what fraction is shaded of that square? Were there four parts in total and three of them have been shaded.

In that circle it's just been split in half one shaded one not.

So we have two sections in total.

One of which has been shaded.

Okay, moving a bit to question two on the right there which is greater 1/4 or 1/6? And you recall our chocolate bar from another lesson would you rather share it with four people or with six people, which is bigger? Which is greater? It's 1/4 you're going to get more of something If you only share it with four people.

Now we know that that's a little bit different to how numbers normally work but we unit fractions where the denominator with the numerator being one, the smaller the denominator, the greater the fraction.

Okay, if we add these fractions together 3/10 and 2/10, three add two it's five.

And with the subtracting five takeaway three is two for the same addition and subtraction fact being used that one on both of those questions.

A nice challenge question for you here then.

So on his birthday, Rashid gave some of his cake to his little sister.

He ate 2/5 of the cake and she ate 2/5 of the cake.

Isn't he generous giving the same amount of cake to his sister? What fraction of the cake did they eat together? So Rashid had 2/5 and his sister had 2/5.

So it's 2/5 add 2/5 is 4/5.

Well done if you go into that question.

All right, question two then 1/2 of 12, 1/2 of 12.

That picture shows it clearly for you there.

It's 12 split in half those 12 dots and if you count half of them we can see that the quote, the right answer is six.

And about 1/4 here within that shape is four.

And you just need one of them.

1/4 of 16 is four.

Okay, going back to something that you did right at the beginning of your fraction lesson being taught on the London eye.

There are 12 pods and three quarters have people in them.

How many pods have people in them? Find the way with people in them, if it's 3/4.

Pause the video here and have a go at the final knowledge quiz and some revision of today's lesson.