To revise parallel and perpendicular lines

Key Stage 2

Maths

Angles and shape

Parallel lines are pairs of lines which....

Parallel lines are always horizontal, true or false?

True or false: this image shows parallel lines?

How many pairs of parallel lines does this shape contain?

True or false, a square contains 2 pairs of parallel lines?

﻿Hello. Miss Brinkworth here again. Are you ready for another riddle? I've got a good one for you today. So, what happens once in a minute, twice in a moment, but never in a thousand years? It's the letter "E". Let's have a look at today's learning. So today we're going to be revising our work on parallel and perpendicular lines that we have been looking at earlier in the week. So, for today's lesson you'll need your pen or pencil and something to write on and if you can dig it back out or make yourself another one, that right angle checker. Just a really quick reminder, it's either just a corner of a piece of paper or one that you folded a few times so you have that perfect right angle so that you can check your right angles today. Here's our warm up. Nice question for you here to get started on. Which of these angles is being described? Which one is it equal to one quarter turn? Which one is smaller than a right angle? And which one is bigger than a right angle? This should be nice and easy for you, Year Three, to get you started. Pause the video and have a go. How did you get on? I wonder which one you decided to match up there. Cause often what we do is pick the one that we're really confident with. So maybe you remembered that a right angle is equal to a one quarter turn and wanted to go for that one first which is absolutely fine. You can answer these types of questions in any order you want to. And obviously if you do the easy ones, the ones that you find easiest first, then hopefully the one that you're left with that you find a little bit trickier, maybe there's just one thing left to match it with. So, let's have a look at how you did. So, acute is smaller than a right angle. Right is equal to a quarter turn. And that leaves obtuse being bigger than a right angle. And hopefully that was quite easy for you. Those are terms we talked about quite a lot over the last few lessons. Well done, Year Three. Really good start to the lesson. Okay. We've got our star words here and as this is a revision lesson, none of these words should be brand new to you, but have a quick look at them and as we're going through them, think are there any that you're not as confident with and just pay particular attention to those parts of the lesson today so that by the end of the lesson, you're really confident with all this new vocabulary that we've been talking about over the last few days. So I'll repeat them and so I'll say them and if you can repeat them, that would be great. Lines. Parallel. Equal distance. Perpendicular. Right angle. One quarter turn. Really well done. Let's have another quick look at those. And like I say, we're going to be revising parallel and perpendicular today. So those are parallel and perpendicular. Okay. So, which link up to which of these definitions then? When we're talking about equal distance, what are we talking about? Is that parallel or is that perpendicular? When we're talking about right angle, is that parallel or perpendicular? When we talk about one quarter turn, parallel or perpendicular? Which one's match up with which, do you think? Can you remember? Let's have a look then. So, parallel are those lines which are equal distance from one another. So like I explained in the previous lesson. Parallel, they stay exactly the same distance apart. That distance doesn't get smaller. That's not parallel. It doesn't get bigger, that's not parallel. Okay. The distance stays the same as they move. They could be vertical, horizontal, diagonal, as long as the distance in between remains the same, they are parallel lines. Perpendicular then, that's going back a little bit further, isn't it? What is perpendicular all about? Well, perpendicular is about those lines that make a right angle. And remember that a right angle is one quarter turn. So looking at my right angle checker, these two lines here, my top line and my line here are perpendicular to each other. They form a right angle, those are perpendicular lines. Well done if you remembered all of that, Year Three. Those are lots of big new words to deal with here and you're doing really, really well. Well done. Okay. Let's move on then. Let's revise. Can you remember, looking at these lines which ones are perpendicular? Which ones meet at the right degrees? You've seen these before, can you remember? So, this line here makes two right angles, So we know that those lines have a perpendicular relationship. They are perpendicular to each other. Which other one then do you think is perpendicular? It's this one here, again those little orange squares could represent my right angle checker. And I put my little orange right angle checker in the corner there and I've seen that they meet at a perfect right angle. That means the lines are perpendicular to each other. Well done if you remembered that, Year Three. Okay, a bit more work on perpendicular then. It's your turn, can you find the perpendicular lines below? Both individually in those three that are going across the top and then in those shapes, which ones have got perpendicular lines? So, let's just take it back a second, just to remind you, this is what we're talking about when we talk about perpendicular lines. They're the ones that meet at a right angle. So, using that can you find the perpendicular lines here? Which ones are perpendicular? Well done if you saw that this is the perpendicular lines at the top there. They form a right angle and in the shape, we have a right angle triangle there in pink and we know that that's got a pair of perpendicular lines in that corner. My right angle checker will fit perfectly in there. Well done if you remembered that special triangle. What about that rectangle there? We know that that has perpendicular lines. We've seen that come up in lessons before. Where do those perpendicular lines meet? At these four corners, which are all right angles. And again, if I use my right angle checker, as you can see those four corners are perfect right angles. That last shape then, that purple shape does not have any perpendicular lines. Now I kind of said put that in to trick you a little bit because it does have parallel lines. So, be careful, the question was on perpendicular lines, so don't get confused. Those are our ones that meet at a right angle. So, let's just have a quick look at that. Just to remind yourself. Really well done, Year Three. Let's move on, shall we? So, we talked about perpendicular, those ones that meet at right angles. Now we're going to move on to those parallel lines. What can you remember about them? They remain an equal distance apart. So, you've seen these pictures before of these parallel lines And we can see that they're exactly the same distance away from each other all the way down. So, just have a quick look at that picture to remind yourself what we mean by parallel lines. Well done, do you remember them? Let's have a look then. This is also ones that you've seen before. Can you remember which of these are parallel lines and which aren't? Just have a quick look. It shouldn't take you too long, Year Three, to remember the parallel lines that you can see here. How did you get them? We've got parallel lines here and here and here. None of the other lines are parallel. That's because they get closer together or further apart as the lines move. They haven't stayed the same distance apart all the way down. Just have a quick look at that to recap. Those ones are parallel and the other ones aren't. Well done, Year Three. Remember that they never meet. I really like this way of remembering parallel lines. If you carry on the line, if you could imagine the line carrying on and eventually they would meet, that means they can't be parallel. They haven't stayed the same distance apart from each other. That's a really good way to remember how to practise them, how to revise and remember parallel lines. Check them. Well done. Okay. Your turn then. Have a look at this page here. Can you find the parallel and perpendicular lines? There are two pairs of each. So you're looking for two which are parallel and two which are perpendicular. Have a go. How did you get on? Which ones did you find easiest? Which ones did you do first? Did you do parallel first or did you do perpendicular first? That might tell you that you feel more confident with one or the other and that's absolutely fine. Should we have a look at how you got on? Should we start with parallel then? Those ones that stay the same distance apart, never get closer or further apart. Which ones can you see there which you think maybe are parallel? Well, we have have these top ones here are parallel just like train tracks, aren't they? They stay exactly the same distance apart. What about the other pair then? Where is the other pair of parallel lines? It's here. So we have a horizontal pair and a vertical pair. Okay. Moving on to perpendicular then. Maybe that was a little bit trickier. Those ones that make a right angle. Can you see them? Here's our perpendicular lines and here as well right at the bottom. Those other lines that you can see there aren't parallel or perpendicular. Well done. Okay. And we know that parallel and perpendicular lines can exist within shapes as well. So, a little bit of revision for you here, can you have a go at finding parallel and perpendicular lines in the shapes below? You might want to go through them and do parallel and then go back through them and see if they've got perpendicular. Have a go. How did you do? Were some easier than others? Which ones did you pick to do first, I wonder? Let's have a look. So we've got this pink shape here, which we've got a pair of parallel sides. It's also got parallel sides at the top and at the bottom. Well done if you got those. This green shape here has got parallel lines, here and here as well as here and here. Well done if you remembered that, Year Three. Any other parallel lines, do you think on these shapes? Well, this blue one's got them here and here. Be careful on that blue shape. Those other two sides are not parallel. That's because if you have a look at that blue shape, if you imagine the sides meeting eventually, they're getting closer together, aren't they? They're getting closer and closer and closer and eventually they'll meet. So those lines at the side of the blue shape are not parallel. Well done if you got all of those. Perpendicular lines as well. We can see that it's just the green square on that slide that has perpendicular lines. No other shapes have perpendicular lines. Well done if you saw that. Okay. It's your turn then. So, now have a go at the independent activity on your own. It should all be revision. So it shouldn't be too hard, but see how you get on. See you in a moment. How did you do? Let's have a look. Okay. So you need to say how many parallel and perpendicular lines each shape has. So, we go through first and do the parallel ones. Looking at this triangle, it has got no parallel lines. Well done if you got that. The square has got two pairs of parallel lines. The top and the bottom and the sides are parallel on that square, well done if you saw that. That means as well, that that rectangle has also got two because it's got the top and bottom are parallel and the sides are parallel just like on the square. So, two pairs of parallel lines. What about the circle then? Did that have any parallel lines? Nope. That shape down there at the bottom has again got two pairs because it's very similar to the square and rectangle, in that it's got a pair either side of that shape, a pair parallel lines. And that triangle, any parallel lines on the triangle? Nope, no parallel lines on the triangle. In fact, triangles never have parallel lines. Well done if you got all of those right. Should we have a look at the perpendicular ones then? We just said that triangles can't have parallel lines, but they can have perpendicular lines, especially or only if they are this special kind of triangle, a right angle triangle. So well done if you remembered that and saying that that triangle has got one pair of perpendicular lines. Don't worry if you wrote down two and you meant it's got one, two, that's absolutely fine. And you might just have forgotten that when we talk about parallel and perpendicular, they come in pairs. So what I'm talking about when it says one is that it's got one pair. It's got one spot where those lines meet. If you write two, cause you thought, one, two in the corner of that triangle, don't worry too much. Just remember that we talk about pairs of parallel and perpendicular lines. What about that square then? Two again and the rectangle has got two again. We know that the circle doesn't have any and that the shape down there at the bottom has got two as well. Perpendicular on our triangle, that one is not a right angle triangle. So, it doesn't have any perpendicular lines. Did you manage to find some parallel and perpendicular lines in your house, in your room? We talked about this earlier in the week and maybe you've got either side of your window, vertical. Or maybe the top and the bottom of your radiator. Maybe they make parallel lines as well. Maybe you can see the corner of a book shelf makes a perpendicular... Has got a pair of perpendicular lines. Well done if you managed to find them in your house. Okay, let's move on to part B. How did you get on? You just need to match the line with it's definition. This should be quite easy for you at this stage, Year Three. So which one describes parallel and which one describes perpendicular? We did this right at the beginning of the lesson. We know that if they stay the same distance apart, that's parallel, and if they meet at a right angle, that's perpendicular. Well done if you remembered that. Now two is a nice, interesting question. Can lines ever be parallel and perpendicular? Should we try? Parallel, they stay the same distance apart. To make it perpendicular, I'd have to move it, wouldn't I? So that it's perpendicular. They're not the same distance apart anymore, are they? I don't think that it can be parallel and perpendicular. Well, I've got parallel, can I make them perpendicular? I can make them perpendicular but they're not parallel anymore. So well done if you managed to work out that lines cannot be parallel and perpendicular. They can be one or the other. They can't be both. Okay. It's that part of the lesson where it's time for you to have a go at your Final Knowledge Quiz. Let's see how you got on with today's revision. Well, you've worked incredibly hard on those lessons, so well done. And I'll see you next time for our next lesson. Bye bye.

To revise parallel and perpendicular lines

To revise parallel and perpendicular lines

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UnitMaths / Angles and shape

Maths