A triangle contains how many angles inside?

Angles which are smaller than right angles are called...?

A square contains 4 right angles, true or false?

This image shows perpendicular lines, true or false?

When a horizontal and vertical line meet at a right angle, it is called...?

To draw perpendicular lines

Key Stage 2

Maths

Angles and shape

lines that do (or would) meet at a right angle

Squares (like the one below) contain 4 pairs of perpendicular lines. True or false?

True or false, the two arrowed lines below are showing perpendicular lines.

How many pairs of perpendicular lines can you find in the shape below?

﻿Hello, Miss Brinkworth here with some more maths for you with Oak National Academy. Moving on from our perpendicular line work yesterday, today we're going to be drawing perpendicular lines, but before we get onto that I've got another riddle for you. What goes up, but doesn't come down? Unfortunately, it's our age. So like I say, we're doing drawing of perpendicular lines today. Let's just have a look at what you're going to need for today's lesson. So same as yesterday, same as last lesson, just a pencil and or pen and something to write on. And if you've got your right angle checker still that will be really useful for today's lessons. So, let's have a look at today. So I've got a nice question here to get you started. Can you spot which of these angles is acute, right and obtuse? And they're giving you a little bit of help there to remind you about what an acute, a right and an obtuse angle look like, so please feel free to use that to help you. Here you are then, here are your three angles. Which is acute? Which is obtuse? And which is right? Pause the video here. Well done everybody, hopefully that was a nice little warm up question for you, just getting your mind back into thinking about angles and shape and line again. So let's have a look at how you got on. So if we look at this first shape, you can see that a line's appeared there. That's my line that I'm using to check whether it's a right angle, or if it's less than or greater than a right angle. And actually I can see with that first shape that it's equal to a right angle. It forms a corner of a square, it's a quarter turn, it's a right angle, and if I wasn't sure, I could put my right angle checker up against it into that corner and it would fit perfectly because it is a right angle. Well done if you got that right. What about the other two then? Well, this next one I can see, if I put that right angle in, if I put my right angle checker against it, it would be, it would fit inside a right angle. A right angle is bigger than this angle. That angle is acute. So well done if you saw that the angle the bottom there is acute. That final one then again, if I put that right angle in, I can see that this angle actually sits wider than a right angle, it is larger than a right angle. So it is obtuse. Well done if you got those three right at the beginning. And so there we go, just the names on there, just so that you can check how you got on. Okay, here are our star words for today. There's quite a few of them, so let's go through them together. So I'll say them, and then you can repeat them please. So we've got vertical, right angle, draw, horizontal, line, perpendicular. Some of those words will be familiar with you from previous lessons. Some might be new, but don't worry. If any of those words are new, we're going to be going through them in a lot of detail today. So let's get learning. Right, have a look at these lines and have a think, how are they the same and how are they different? How are they the same and how are they different? Well, hopefully you can see that they are the same because they are all facing in the same direction. They're all sitting in a similar position. They might have moved up and down the page, but they're all sitting right to left across, or left or right, whichever way you want to say it, across the page. They're all different colours, they're all different thicknesses, but they all are sitting in that same orientation. That is because they are all horizontal. When we talk about horizontal lines, these are the lines we're talking about. It means that they sit across. Straight across not at an angle, but straight across. That is horizontal. They are all horizontal and we can see in the world around us lots of examples of horizontal lines. Now the word horizontal comes from horizon. This picture here shows the horizon, which is the line between the sky and the sea, or the sky and the land and it's a perfect straight line across like that. But there are other examples of where we would see horizontal lines in the world all around us. Like here, some barbed wire across a fence. Here, in a bridge. In a fence in the countryside, on a farm maybe and just on a piece of paper, your lines on a piece of paper, are horizontal. So you probably see those every day, every lesson in your books, and those are horizontal lines. So just take a moment to have a look at all those examples of horizontal lines. Wonderful. So those are horizontal lines. What about these ones then? We can see that they're not horizontal. How are they the same and how are they different? Well again, we can see that they all sit in the same position. Instead of going across like horizontal lines do, these are called vertical and they go up and down, perfectly straight and they are called vertical lines. So have a little look at those vertical lines. We can see again that they're different colours, different thicknesses, different sizes, but they are all vertical lines and that's, like I said, because they sit in that position going straight down, or up. And again, we will see lots of examples of the vertical lines all around us in the real world. Here are some examples of vertical lines. Okay, have a look around you then, in whichever room you're in. Can you see some horizontal and some vertical lines in the room you're in? Maybe you can see them in your window, like that picture there. Just pause here and have a think where in your room that you're in at the moment, can you see horizontal or vertical lines? Okay, let's put that together. Did you manage to find some horizontal and vertical lines? Really well done year three if you did. That's working really hard on some new learning, good job. What about in this room here that we can see on this picture? Where are the horizontal and vertical lines here? Let's have a good look. Well, if we start with horizontal first, you can see that there's a horizontal line at the top of that bookshelf there. Where else are there horizontal lines? On the top of that picture there on the wall there's a horizontal line as well. As long as it's been put on the wall nice and straight, it is a horizontal line. Where else? On the top of the curtain pole as well, over the window. Again, as long as it's nice and straight, it's been put up nice and straight, it will be a horizontal line. So lots of horizontal lines in our rooms at home. Where might we see some vertical lines then? Oh look, down the corner of a room where the two walls meet, we will have a vertical line. Have a look round your room, can you see some vertical lines in the corners? Where else might there be a vertical line then? Where else have we got one? Down the side of the window would be a vertical line. Windows are always nice and straight, so that'll be a perfect vertical line. And where else might we find one? Down the side of the bed maybe, if your bed's got a nice straight vertical line down it. Well done year three, if you managed to find lots of vertical and horizontal lines, this is going to really help us with today's learning. So, have a look at this then, what does it say? Vertical lines are perpendicular to horizontal lines. Horizontal lines are perpendicular to vertical lines. Let's just have a look at that, 'cause that's quite wordy, isn't it? Now we looked at perpendicular yesterday and hopefully you can remember that perpendicular means two lines which meet at a right angle. So, it says that horizontal lines are perpendicular to vertical lines and vertical lines are perpendicular to horizontal lines. Okay, great. So if we say that our red line, that's a horizontal line, What they're saying is if you've got a horizontal line and a vertical line, they will create a perpendicular line for you there. And hopefully you can see that in that image, with the red horizontal line and the blue vertical line. So this is our learning for today. And again, all around us, we will see examples of perpendicular lines, when vertical and horizontal lines meet. In skyscrapers, on a fence, can you see the vertical and horizontal lines on that fence? So you've got all the vertical lines going down and the fence post, and then you've got the horizontal lines, which one at the top and one at the bottom. And those create, those are perpendicular to each other, they create perpendicular lines. Where else? Oh, on a telephone wire, on a telephone pole, you have the vertical line and you have the horizontal line and so, you have perpendicular lines. Even in the pavements you might have those lines, those perpendicular lines being created. Well done year three, lots of new learning going on here. And we have a flag here, it's actually the flag of Norway and you can see, I hope, that there's a vertical and a horizontal line on that flag and so, they are perpendicular. Lots of examples all around us of perpendicular lines. Okay, let's do some learning then. How are we going to draw these perpendicular lines? Here I've got a lovely red vertical line. Can you think, where will I need to put my horizontal line, or how am I going to draw a line, to make sure that it's perpendicular to this one? Well if I have a vertical line, I now need a horizontal line, don't I? So, that might appear here, this green line. But it doesn't have to. It could go somewhere else as well couldn't it? It could go at the top here, that would also form a perpendicular line. Or it could go in the middle here. All of these examples of horizontal and vertical lines which mean that they're perpendicular. Okay, let's move on then. This time you've got the horizontal line and I'd like you to pause the video and have a think, draw it if you'd like to, or just have a think. Where was it going to appear on the screen? That vertical line, which will make it perpendicular. Have a go. Really well done for having a go at that that year three, let's have a look. Where does the line need to go create perpendicular lines? Cool, well done if you thought it would go there, but again, it doesn't have to go there. There are lots of options for making this line, this line perpendicular. It can go on the end on the left there. Okay, let's move on then and let's have a look at these. Now, it's important to remember that just like right angles don't need to sit like this, we can move them, we can change the orientation. Obviously it's the same with perpendicular lines as well. So all of these are examples of perpendicular lines. Just the orientation has been changed. So they don't have to, perpendicular don't have to be vertical and horizontal. As you can see on this image here, two of these lines, two of these pads of lines don't have vertical or horizontal lines. They're not sitting perfectly up and down or across, but they are creating perpendicular lines. So just have a look, all of these are perpendicular. And in fact, perpendicular lines don't actually have to touch. These lines are perpendicular as well. We can see that one's vertical and one's horizontal, they don't have to touch to be perpendicular, they still have that relationship. If they were to touch, they would be perpendicular, but they are right angles to each other. And there are shapes which contain perpendicular lines, which aren't next to each other. This is an eight sided shape, so that means it's an? Octagon, well done, and it does have some perpendicular lines. Can you have a look? They're not next to each other, but they do have lines which are perpendicular. So if we look at this line at the top here, it's a horizontal line, it goes straight across, straight across. Can you see a vertical line on that octagon? Here we are. So those two lines are perpendicular to one another, even though they don't touch because one is horizontal and one is vertical. Well done year three, There's lots of new learning going on here. Really, really good. Okay. It is time for your main activity, we will go through the first one together. So let's just have a quick look. So here's a lovely piece of art by one of my favourite artists, called Mondrian. And it's lovely brightly coloured geometric art, which means it's made up of shapes. Can you see vertical and horizontal lines in this piece of art? Well, let me have a look. Can I see any lines in this piece of art? Oh, there we go, that pink one, is a nice long horizontal line going all the way across the top of that red square there and through the art. Can you see some other vertical and horizontal lines? Pause the video here and have a go at finding those yourself. Well done, let's come back together. Did you manage to find some more vertical and horizontal lines in that piece of art? So there's lots of horizontal lines going through the middle longer ones and shorter ones, you can see there if we put that in pink. And the vertical there in light blue, again, longer and shorter light blue vertical lines, but there are lots there in that piece of art, so you might have found, you might've found other ones, so well done. Okay, out of these lines then at the bottom here, which ones are perpendicular? Well, if you needed to, you could go back to our old friend, the angle finder because these perpendicular lines meet and if they meet, they must meet at a right angle to be perpendicular. Which ones of those at meet at a right angle? Let's have a look. Well done if you saw that the middle ones there are perpendicular, great work year three. Right, let's have a look at part B together then. It says to draw lines to make these perpendicular. So we can see that in a, we have a horizontal line. So we will have to add the vertical line to make that perpendicular, won't we? So we could put it, there are lots of options, you might not have put your line in exactly the same place and that's absolutely fine, As long as you've drawn a horizontal line on that, then that's absolutely fine. You've created a perpendicular line and it doesn't have to touch the line either. So it could be in any of these places. Okay. And for b, we can see that we've already got a vertical line, so we need to add a horizontal line and again, that could be, appear on different places. It could go through it as well actually. So, just taking a step back there looking at what this little person's saying. If two straight lines meet at a right angle, they are always perpendicular. Hopefully you can see that that is absolutely true. If two straight lines meet at a right angle they are always perpendicular. Okay, and there was a bit of a challenge in today's work as well. So how did you get on? use your right angle checker to draw a line from the black dot, which makes these perpendicular. So, hopefully you were able to see that these lines are on a bit of an angle. They're not horizontal or vertical, so the line that you need to add won't be horizontal or vertical either, but it does need to be perpendicular. And again, you can use your right angle checker to get that right. So how did you get on? There are a few options, so it can come out of the top, or out of the bottom, or again, it could go all the way through that shape, that's absolutely fine. And for the last one, here we are. So just have a quick look at that just to see how you got on. And if you didn't get onto the challenge, that's absolutely fine, But just take a moment to have a look at those lines as perpendicular lines. Well done year three, amazing learning going on today. Really good work. Okay, it's that time in the lesson. Time for you to have a go at the final knowledge quiz, so pause the video here and see how much you've learnt about drawing perpendicular lines today. Well done, there's some fantastic work going on here, really, really good and I shall see you for the next lesson on angles and lines as well. Have a great day, bye bye.

To draw perpendicular lines

To draw perpendicular lines

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Starter quiz

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Exit quiz

5 Questions

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UnitMaths / Angles and shape

Maths