Lesson video

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Hello, my name is Mrs. Chambers, and I'm so happy to be teaching you today.

In the last lesson, I asked you to draw your own number line.

How did you ensure that it had 10 equal parts? I decided to use a ruler with each part representing one centimetre.

Does anyone have a different approach? So once I draw my number line starting at zero, which is here, okay, I counted along one tenth, two tenths, three tenths, four tenths, and I put an arrow directly on the fourth tenths there.

It's pointing to the point that is marked four tenths.

Okay.

There they are.

Okay, I've got 20 of them.

I visualise why my 10 parts might be.

So that was my columns, and I drew a ring around four of those columns.

One, two, three, four.

So four tenths.

Did you have another way of showing four tenths? I did, I drew a couple of different ways.

So here we go, this is my first one.

It looks like a 10 frame, and I have shaded in four parts of my tens frame.

Does it matter that they aren't together? No, because my whole has been divided into 10 equal parts, and I have shaded in four of them.

So therefore it's four tenths.

I also drew some flowers, there we go and a number line.

So my flowers, I had 10 flowers and I drew around four.

And then my number line I made it so that it was vertical rather than horizontal.

There we go.

So that's mine, what did you do? Did you do something different? In today's learning, we're going to be thinking about fractions as numbers.

I'm going to use our number lines.

So I'd like you to use the number line that you created in the practise activity yesterday.

But I also need you to get a peg or a paperclip.

Pause the video and go find a peg or a paperclip and bring it back.

Okay.

If we thought about the number line as a whole, starting at zero and ending at 10 tenths or one hole, where would four tenths be? I'm going to use a peg, and I'm going to count along the number line to see whether I can identify where four tenths is.

I'm going to start at zero, so that my peg is on zero.

I'm going to move one one tenth, two one tenths, three one tenths, four one tenths, okay.

Can you do that with me? Zero, one one tenth, two one tenths, three one tenths, four one tenths.

Okay.

If it was to carry on, can you predict where eight tenths would be? Okay.

Would that be a large part of the whole, or would that be a small part of the whole? That's right.

It will be a large part of the whole, because it will be almost to the end, almost to one whole.

Okay.

So we're going to curry on counting.

So we're going to move our peg.

So four tenths, five tenths, six tenths, seven tenths, eight tenths.

Okay.

Let's have a look at what it looks like on the screen.

So we're going to move that arrow.

Were going to move it along one tenth.

Notice where the Arrow stops right on the point that is marked two tenths, three tenths, and there's four tenths.

Okay, which is a fairly small part of the whole, in comparison.

Five tenths, six tenths, just checking that arrow was pointing to the point, seven tenths and there is eight tenths.

Okay, so that's a large part of the whole, it's almost the whole, it's almost to the end, but not quite.

Nine tenths and there we are, we've got our whole.

Where a fraction is a fraction of something, it's shown by a section or a part.

And when a fraction is a number it's shown as a point.

So let's have a little look at what this looks like.

So on a number line, we can show that a fraction is a fraction of something.

So four tenths is a fraction of the whole.

So here we go.

That's shown on the number line because we all looking at four tenths as a fraction of 10 tenths.

We can see that we've covered, one tenth, two tenths, three tenths, four tenths, with our bar, but we've stopped at four tenths.

We haven't gone any further.

And that's okay if we're looking at fractions as a fraction of something.

But when we're thinking about fractions of a number, then the only part that matters, is the point that is marked four tenths.

So lets have a look.

So the arrow is pointing to four tenths.

So if the arrow was pointing below four tenths, it would be less than four tenths.

And if it was pointing above four tenths, it would be more than four tenths, but it's not, it's pointing right at the point, okay.

This is what it looks like as a fraction notation, and then this is what it looks like in our shapes.

So you can see that we've got all of the four parts shaded, we're not just pointing at a number.

And on our circle again, four of our parts are shaded, we're not just looking at a number.

So it's on the number line when it is on as a number.

Have a look at this arrow on the number line.

Jen thinks that the arrow is pointing out four tenths.

Do you think he is correct? No, Jen is not correct, because we know that four tenths is a number, and so has an exact point on our number line.

The arrow is not pointing out the exact point where the number four tenth is.

It's pointing at a number more than four tenths, okay.

So the arrow is pointing at number more than four tenths, as it has passed the four tenths on the number line.

Have a look at this arrow, okay.

Where is it pointing to? That's right, it's pointing to the number nine tenths.

It is pointing to the exact number and points on the number line.

It's not pointing below, it's not pointing above, it's at the exact point.

And therefore, this arrow is showing nine tenths.

So you're going to need two strips of paper.

With the fast strip of paper, I would like you to have a go and making quarters.

Make sure you visualise first how this will look.

Okay.

So you think about what a quarter is.

Think about what it's going to look like on your strip of paper.

So how to make quarters.

First, fold your paper in half.

So there's my fold and I'm going to fold it over.

Make sure you're accurate, because we need them to be equal parts, okay.

And then you're going to need to fold that piece in half again.

Okay, and fold it over.

So that's what your paper should look like.

Once you've done that, I'd like you to unfold your paper.

Okay, what do you see? Yes, the whole has been folded into, one, two, three, four equal parts.

Okay, the next thing I'd like you to do, is to draw a line down the centre of the piece of paper horizontally like that.

This is now your number line.

Okay.

And I would like you to mark the numbers on this number line, starting with zero and ending with four quarters.

That's a whole.

Where will each fraction need to sit? You remember that the fraction, and when it's a number it needs to set on the fold.

The fold shows us the point where one quarter is, where two quarters is, where three quarters is, and then the end shows us where the four quarters is.

Okay, have you got it done? Fantastic.

Okay, this time we're going to use the second piece of paper and we're going to have a go at making eights with your paper strips.

Okay, so make sure you visualise first.

So think about what these quarters look like.

Okay, now think about what they're going to look like when they're eighths.

Are they going to be more folds or less folds.

Okay, let's have a go and see.

So first of all, you're going to fold your paper in half, okay, there we go.

Then you're going to fold it in half again, and then you're going to fold it in half again.

You have to make sure you're being really accurate, and it's quite hard with that last fold.

Okay, so we folded it in half.

Then we folded that half in half, and then we folded that half in half.

Okay, so once you've finished, should have a piece of paper that looks like that.

And then I would like you to unfold it.

So you sort of have a piece of paper that looks like that.

What have you got? Yes, you've got a whole, that has been divided into eight equal parts.

Each one of those parts is an eighth, okay.

But I want you to draw a line horizontally across the middle because we're going to make it into a number line, okay.

So now we've got specific points where our numbers need to go, and those numbers needs to go on the folds.

So where are you going to put your one eighths? Where are you going to put four eighths? Have a ago of filling in the number line.

So you should start with zero, and you should end with eight, eighths.

Brilliant.

It's time now for a bit of a challenge.

Okay, so you can see, that I've got almost a blank number line.

I've got a zero on one end, and I've got ten tenths on the other.

Okay, so I've got a zero, and the end point is ten tenths, which is the whole.

Okay.

It is one whole number line.

Think about what they will have been divided into.

I'm going to put an arrow on this number line, and I want you to think about what these two children are saying.

So we've got Sarah, who thinks that the arrow is pointing at six tenths, and we've got Jen, who thinks that the arrow is pointing at two tenths.

Okay.

I want you to have a little think about who's right.

But more importantly, I want you to explain how you know that.

So that is your challenge for today's lesson.

Okay, that's the end of our lesson.

Thank you very much.