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?

To identify and explain parallel lines

Key Stage 2

Maths

Angles and shape

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...?

﻿Hello, it's Miss Brinkworth here again with Oak National Academy doing your math lesson for you today. And I've got another riddle for you, so are you riddle-ready? What has got four fingers and a thumb but isn't alive? What's got four fingers and a thumb and isn't alive? It's a glove. Let's have a look at today's lesson. So we're moving on from perpendicular lines and today we're going to be identifying and explaining parallel lines. Don't worry if that word doesn't mean anything to you right now. It will by the end of the lesson, I promise. So let's have a look at what you need for today. Nothing too complicated, just something to write with and something to write on. And if you haven't done so. Now, we've got a lovely warm up here. A nice, easy revision question. Hopefully, with all the work we've been doing on angles recently, this is really easy. Can you name these angles? Name these angles. Pause the video here and have a go. Wonderful, well done, Year 3. Let's have a look at how you got on. Well, hopefully you can see that that first angle there on the left is quite a small angle. That means that the two straight lines that make it up are quite close together, and it's smaller than a right angle. That means it is an acute angle. Well done if you remembered that one. That one in the middle's quite special. Remember it has a square put in the corner. And again, really well done if you remembered that that is called a right angle. Really, really good. It's a quarter turn. And we spent quite a lot of time in previous lessons looking at right angles. What's the last one we know there? What's that last special name we know for right angles? Now I can see that that angle is larger than the right angle. It is wider, the lines are further apart than a right angle. Can you remember what those ones are called? Well done if you remembered that they are called obtuse angles. So those are three angles that we've spent quite a lot of time looking at over last few lessons. Well done if you remembered them all. Moving on then, here are our star words for today. There's not very many of them, but I'll say them. And if you could repeat them back to me that would be wonderful. So we've got lines, parallel, equal distance, and that's it. So just having a look at these, I'm sure you know what lines are. Parallel is our focus for today, and equal distance will be a really key part of our learning as well. So let's have a look at what we're talking about. Have a look at these lines. What do you notice about them? What can you tell me about these lines? Maybe you can tell me that they're blue. Maybe you can tell me that they're quite long lines. What about the relationship between the two lines? What do you notice? They are parallel lines. These are the same lines. I'm going to put little arrows in between them because they're parallel. So these are an example of parallel lines. What do you think parallel lines are then? If you remember, part of our learning objective is to explain what parallel lines are. What do you think they might be, having a look at those as an example. What do you think? Well, here we are, here's the explanation. Let's have a look at it together. Parallel lines are lines which are equal distance apart from each other at any point on the line. So what this means is these are two lines which never get closer together or further apart. They remain the same distance away from each other. That's what parallel lines mean, they remain the same distance away from each other. And to show you what they mean, I've got some of my child's play train set here. And if you can see, this is a train track and it's got two lines on it and those lines never get closer together or further apart. Those lines on there are parallel lines. We could move them round, we could make them horizontal, we can make them vertical, we can make them bigger or smaller but they remain parallel lines. I could show you another way as well. I've got another one here. These are parallel, they stay the same distance apart from each other. We can twist them round. We can make them further apart as long as they remain the same distance away from each other in between. So that's an example of parallel lines. So let's go back to our learning. Here's some parallel lines. If you see the little arrows in between, those little dotted arrows are the same length all the way along because those blue lines have stayed the same distance away from each other all the way along. That's what parallel means. Have a quick look at that. Moving on then. We can see that those blue lines are horizontal. What about if we have vertical lines then? What do you notice about these lines? Again, maybe you want to tell me about the colour, maybe you notice their size or their distance apart. But these are still parallel lines. They still remain the same distance apart from each other. And you can see they've put those arrows in there to help you see. So this is what parallel means. Two lines which stay the same distance apart. Do these look like parallel lines to you? What do you think? Do you think these lines have got the same distance in between them all the way down? You can shout at the screen if you like. Do you think these lines are parallel? Let's have a look. You can put those lines in between, and we can see that those lines are exactly the same length and they are parallel. So these green lines aren't horizontal or vertical, but they are parallel. Have quick look at those. Let's have another go then, what about these lines? Do you think these lines are parallel? What do you think? Do you think these lines are parallel? Do they stay the same distance apart? Now, when I'm looking at parallel lines, what I like to imagine is those lines carried on. If those lines carried on, would they touch? 'Cause if they would, they're not parallel. Or would they get further apart if we carried them on, that means they're not parallel. Let's have a look then. So if we put those arrows in between this one, actually we can see that those little dotted lines are bigger and smaller than each other. That means that these lines are not parallel. They're not the same distance apart from each other all the way down. Let's just have a quick look at those. Those lines are not parallel. Well done if you saw that, that's really good work. And here's another way of looking at it. So as I said, if you could imagine those lines carrying on. If they would touch, they're not parallel. So that's another way of checking parallel lines. One of these sets of lines is parallel and one pair isn't. So just like perpendicular lines, parallel lines come in pairs. Which of these pairs do you think is parallel and which isn't? Which one's parallel? Not too hard is it. Hopefully you can see that these are our parallel lines. They stay the same distance apart. They're not getting closer or further apart from each other, they're staying the same distance apart. Well done if you saw that, Year 3, really good. Okay, here's another set of parallel lines then or are they? Some are parallel, some aren't. Which ones do you think are parallel and which ones aren't? Have a quick look at them. You can do thumbs up to the screen if you like, you can point to each one and just say yes or no if you think it's parallel or not. Have a quick look at those ones. So some of them are parallel and some aren't. How can you tell? Hmm, let's have a look then, shall we? You should be able to see that the red ones over on the left here are parallel. They stay the same distance apart from each other. And so do those thin green ones which are really close together. They stay at the same distance apart from each other too. These ones here. But these blue ones over on the right as well are also parallel. They stay the same distance apart from each other. Really well done. But the other two pairs of lines, this purple pair at the bottom and this black pair at the bottom as well, they are not parallel. They are getting closer together or further apart. So well done if you saw that, Year 3. Lots of different lines there. Some are parallel, some aren't. Really good work. Okay, your turn then. Here's some more lines for you to look at. You just need to decide yes or no, true or false, thumbs up or down. Which ones are parallel and which aren't? Pause the video here to have a go. Okay, how did you get on, Year 3? Did you find that easy, is it easy to tell whether they're parallel or not? Which ones were easy and which ones were hard do you think? Let's have a look at them together. So this first set up here, they are parallel. They are the same distance apart. Sometimes it's a little bit confusing 'cause those lines don't line up perfectly. One goes higher than the other, one goes lower than the other. But they are the same distance apart as they go down the page there. So those ones are parallel, well done if you saw that. These ones here going horizontally are also parallel. So really well done if you saw that. And we've got a final parallel set there as well, those ones are diagonal. So when they go across like that it's called diagonal. And lines don't have to be vertical or horizontal to be parallel. They just have to remain the same distance apart from each other. They can be vertical, they could be horizontal, they could be diagonal, as long as the gap between them is an equal distance. They're not getting closer together, that wouldn't be parallel. They're not getting further apart, that wouldn't be parallel. They stay the same distance apart. Well done if you saw that, Year 3. Really, really good work. Okay, parallel lines can also exist within shapes. So here's some shapes. Just have a look at them quickly. Where do you think the parallel lines might be on these shapes? So here are the shapes again. And you can see that that rectangle at the bottom, we've put in the green lines with little arrows on to show that those two green lines are a pair of parallel lines. They're the horizontal ones. And then also down the side, it's got parallel, just two short blue parallel lines as well. That rectangle has two pairs of parallel lines. So about that other shape, do you think that's going to have two pairs of parallel lines as well? What do you think? This shape has just got one pair of parallel lines, those red ones that have been highlighted there. Really, really good work, Year 3. Lots of parallel lines to identify there. Okay, so it's time for your independent activity now. Now, I'm not going to go through it with you this time just because it's really similar to what we've already been doing. Are they parallel or not parallel or not and then spot the parallel lines within the shapes. So pause the video here and have a go at your independent activity. Okay, well done. How did you get on? Let's have a look. Okay, so which these lines are parallel? Some of them aren't and some of them aren't. I wonder how you got on. Are they staying the same distance away from each other? Let's see. Yep, the black ones do. They look just like train tracks, don't they, those black ones. The yellow ones as well. Although one goes further than the other, at the ends they're not the same distance as each other, the same length as each other. They remain the same distance apart, so those ones are parallel. The other lines on there are not parallel. Just those two pairs are parallel. What about in these shapes then? Did you manage to spot the parallel lines in the shapes? This shape, A, has one pair of parallel lines as you can see there. And B has got two pairs of parallel lines. So really, really well done, Year 3, if you saw those parallel lines on those shapes. You're doing incredibly well. Really, really good. Okay, on B then, which of these shapes has got parallel lines? Now, there's lots of parallel lines to be seen on these shapes. So we'll go through them together and hopefully you can spot them. So sometimes when we're talking about parallel lines we use this little symbol like this, which is just a little pair of parallel lines that we put on the lines to show that they're parallel. So this blue rectangle has got a pair of parallel lines opposite each other either side of the rectangle. That's not the only one though, because we also know that rectangle have got parallel lines here and here as well. Well done if you saw that, that's really, really good. Now, that pink triangle. We've come across this triangle quite a bit in the last few lessons. But that's when we were talking about right angles and perpendicular lines, not parallel lines. That triangle doesn't have any parallel lines. What about shape number three then, what do you think? It's got parallel lines here and here, that's its pair. Do you think they're the only ones or do you think it's got more? What do you think? They're the only ones on this shape. This next shape is also a quadrilateral, that means it's got four sides. Actually, it's a shape called a parallelogram. It's called a parallelogram because it's got two pairs of parallel lines, one pair here and one pair here. Well done if you saw those on that parallelogram. Our next shape here, has it got any parallel lines? Do you think it's got two pairs or one pair or none? Let's have a look. It's got one pair, here and here. One pair of parallel lines. What about the next shape? This shape's really interesting, it's got quite a lot of parallel lines. I wonder if you managed to find them all? There's a couple at the bottom, they're parallel. And then it's got a pair here and here. And it's got a pair here and here. Lots and lots of parallel lines on that shape. Doing really well, Year 3, if you found all of these. You're doing brilliantly. Don't worry if you didn't find all of them, this is new learning. Keep at it, you're doing really, really well. Number seven has got parallel lines here and here and here and here. Really good. And, finally, we've got number eight which has got parallel lines here and here. Fantastic work, Year 3, if you managed to find all of those parallel lines. I'm very, very impressed. Okay, final question then. What's our person saying today? True or false? "Any pair of straight lines is called parallel." Hmm, now let me think. Is that right, any straight lines are called parallel? Hmm, but yesterday we were learning about perpendicular lines, and that was a pair of straight lines. So I don't think this can be right. I think this time our person's got that one wrong and the answer is false. Okay, your challenge today was this lovely map of St. Paul's Cathedral, and it was can you spot parallel lines? Now, I'm sure you can spot lots and lots of parallel lines in this shape. I'm not going to highlight them all because there's tonnes, but let's have a look at a few, shall we? There's one here and here at the top and the bottom, there's one here and here at the ends. Where else do they exist? Here we go again, a thinner bit there in the more narrow bit, top and bottom again, horizontal parallel lines. Really well done if you found lots of parallel lines in that shape. Fantastic work. Okay, it's that part of the lesson again. Then have a go at the final knowledge quiz to see how you got on with today's learning. Well done, Year 3. You've worked brilliantly today on that new learning of parallel lines. Fantastic work, super impressive. And I'll see you here for another less soon, bye-bye.

To identify and explain parallel lines

To identify and explain parallel lines

Slide deck

Lesson details

Key learning points

Licence

Video

Worksheet

Starter quiz

5 Questions

Exit quiz

5 Questions

Lesson appears in

UnitMaths / Angles and shape

Maths