Lesson video

Hi there.

My name's Miss Darwish.

And today's lesson is going to be about describing points on a coordinate grid, looking at all four quadrants today.

So before we get started, if you can just make sure you are sat in a nice quiet place, ready for today's lesson.

Okay.

So the agenda for today is first of all, we just going to recap on coordinates and then we're going to be looking at what happens when we extend the Y-axis as well as the X-axis.

So we're going to be looking at four quadrants today within coordinates, and then we're going to try and find a missing coordinate and at the end, of course, there will be a quiz for you to do on today's learning.

So let's get started.

For today's lesson, you will need the following things, a pencil, something to write on and a ruler.

So if you want to go and get those things and we can start the lesson.

Okay.

So in front of you are the first two quadrants, you can see the X-axis and the Y-axis.

Now you can see the X-axis includes positive as well as negative integers.

But what do you notice about the Y-axis? The Y-axis, we could only see the positive integers, so let's see what happens when we extend the Y-axis.

Okay.

Now we can see on the X-axis, there are both positive and negative integers on the X-axis, and then on the Y-axis as well We've got the positive as well as the negative integers.

Okay.

So in front of you are the quadrants labelled.

So if we talk about the first quadrant, the X and Y are both positive.

And if we talk about the third quadrant, what do you notice? That the X and Y are both negative.

Good.

Okay.

And what about the second quadrant? The X is negative and the Y is positive and then that leaves the fourth quadrant.

The Y is negative and the X is positive.

Okay.

So we can see that the X is negative in the second and the third quadrant.

Can you see that? So the X-axis, the horizontal line, the second and the third quadrant, are where you would find negative X and then the Y is negative in the third and the fourth quadrant.

Okay.

Where would you find the coordinate ? Have of think.

Where would I find the coordinate ? If you think it's the first quadrant, show me one finger.

Second quadrant, two third quadrant, three fourth quadrant ,four.

Okay.

Are you ready? We're going to play game.

Are you ready? So where would I find the coordinate , show me in five, four, three, two, one.

Well done if he said the first quadrant, because three and six are both positive numbers, so you would find it in the first quadrant where X and Y are both positive.

Well done if you said the first quadrant.

Okay.

Are you ready for another one? Where would you find the coordinate and showing your fingers in five, four, three, two, one, the third quadrant, well done.

You would find it in the third quadrant.

Why? Because in the third quadrant, both the X and the Y and negative.

Good.

Let's do another one.

Where would you find the coordinate and show me your fingers in five, four, three, two, one, the fourth quadrant.

Good.

Where the X is positive however, the Y is negative.

Well done if you've got that right.

Let's do one more.

Where would you find the coordinate And show me your fingers in five, four, three, two, one.

That was a trick question.

You wouldn't find it in quadrant one, two, three or four, actually the point some people call the origin.

Can you say that word? Origin.

Origin, because it's right in the middle, it's where the Y and the X-axis overlap each other.

So it's the centre.

So you wouldn't find it in any of the quadrants instead we also call the origin and it's right in the middle.

It's where the X and the Y-axis intersect, that means where they meet.

Okay.

Well done.

Okay.

Find the coordinates of the square? So we can see four points also known as vertices, these are vertices of a square.

Can you see them? There's four of them.

What do you think the coordinates are? If you want to have a go just quickly jot these down, write down the coordinates of each of the vertices.

So we're finding the coordinates of the square.

Should we have a look? Well let's have a look together.

Okay.

So this point is of course, again just the same, even if we've extended the X and the Y we always start by reading the X and then the Y.

So well done if you said that.

Let's have a look at the next one, this time And the next one So zero on the X-axis and two on the Y-axis.

And the next one is again zero on the X, but minus two on the Y.

Hopefully you got those right.

Okay.

Right, a bit of a challenge this time.

Just to make things a bit more trickier.

We've got a line, and the question's asking what are for the coordinates first? So find the centre of the line.

So if we have a look at the coordinates first, so one point of the line we've got and what's the other coordinate? Good.

So we've got and How can we find the centre of this line? What do you think? How can we find the centre that means the middle.

Exactly in the middle of that line shown.

If you think you found it, maybe put your finger where it is and we'll see, we'll check it together.

Okay.

So is that why you had your finger? So we can count the number of squares between just to see if we're right.

So one, two, three, I've counted on each side.

So between the first X, the point the coordinator and the blue one, I've counted three squares.

And then between the blue and then the other coordinate, I've also counted three squares.

So we know, well that's how we can check that it's exactly in the middle.

So what is the coordinates of the centre? Do you think you know? Write it down for me and we can check together.

Quickly write it down.

Five, four, three, two, one.

Should we check? Okay.

Well done if you said So is the point in the middle of the straight line, it's in the centre.

Okay.

Well done on all the learning that you've done today.

Now it's time for you to complete an independent task.

So what you've been asked to do is four coordinates are shown to complete a square.

Are the coordinates inside the square, outside the square, or are they on the edge? So you've got and the last one is So you've got to find these points and tell me, are they inside the square? Are they on the edge of the square? Or are they completely outside the square? So now I'd like you to pause the video and have a go and we'll come back and go through the answers together.

Okay.

Welcome back.

I'm hoping you didn't find those to tricky and you actually enjoyed doing that task.

Okay.

Should we go through the answers together now? Let's have a look.

So, I gave you some coordinates and I'd asked you to tell me if they were inside, outside or on the edge of the square.

So, first coordinate that's inside, Did you get that? So is inside the square and I've marked in blue.

Can you see that? So I've got the four vertices of the square, if we joined them up with a pencil and a ruler, the point would be inside the square as you can see with the blue cross.

So I give it a big tick if you got that right.

Should have a look at the next one.

So outside the square, actually there were two.

The first one is Can you see in the fourth quadrant? And then in the second quadrant is So again, the black vertices of the square if I was to join them with a ruler, these two points, and would not be inside the circle inside the square, sorry.

And they wouldn't be on the edge of the square, they'd be outside.

So hopefully you got that right.

Again, if you said and were outside the square, give it a nice big tick.

Well done.

Okay.

So to the next one.

The edge, also there were two points on the edge.

So you see where is, again I've marked in blue and So it sits sits actually on the Y-axis.

But again, if you were to join those points and maybe hopefully you did with a ruler, of course, to complete the square that these points, these coordinates would be found on the edge, laying on the sides of the square.

So again, if he said those two points were on the edge of the square, make sure you give it a really big tick and well done.

Okay.

So the inside the outside was and and the edge, Just check it through once more.

And what you could do is come up with your own coordinate that's inside the square.

Another coordinate that's outside the square and another coordinate that is on the edge of the square.

Just an extra, bit of extra work for you to do, but hopefully it shouldn't take you too long.

Okay.

If you would like to share your work with Oak National, then please ask your parent or carer to share your work on Twitter, tagging @OakNational and #LearnwithOak.

Now it's time for you to complete the quiz, but before I leave you to complete the quiz, I'm just going to say a really, really big, well done on all the fantastic, super learning that you have done today on coordinates and the four quadrants.

You have done so well, so far so well done and good luck on the quiz.