Video: Shape and symmetry: To compare and order angles

﻿So today, you're going to need a couple of extra things if you've got them. If you haven't got these things lying around, don't worry too much. But you will need as usual, your pencil ruler would be really useful today. If you have them a couple of strips of straight paper, and either a spit pen or paper clip string can work as well. But only if you've got them. If you haven't, don't worry too much. It's not going to stop you from being able to do the lesson. And something to write on so paper or a book provided by your school and someone with no distractions. So somewhere where you're not going to be looking up and seeing dogs skating past the window and putting you off you're learning. Now if you are worried in terms of having the correct equipment, paper that you need really is just simply like a piece of paper this kind of size, nothing too special. You're going to need a couple of them. Okay. Important thing is that they are straight. And we'll talk more about that in a little while when we get to that slide. So let's think about what our key learning is today. Let's go over our agenda really quickly, you've done your key on this quiz to start with. So our key learning vocabulary is coming up next. And then we're going to name the shape warm up, shape is really going to be coming into it, as you can tell already, because the title of this new section of learning is shape and symmetry. So shapes is going to feature somewhere. And we'll look at types of angles and what angles actually are, and then move on to our main angles activity, which is where we're going to compare different types of angles, and begin to name them and then a final knowledge quiz to see what it is that we've remembered from today. So, to remind you, our key learning is to compare and order angles. And our key vocabulary. We know the routine my turn your turn, angle, degree acute, obtuse, right angle, order and compare. Brilliant, well done. Nice, of to see a few actions that they will help you remember things a little bit later on. So let's start by warming up those green grey brain cells and crack on with our starter. So how many of these shapes can you name, you have 10 shapes there. And you also have a table to fill in the name for each of those shapes. How many can you name? Give yourself a limited amount of time so that you can fill in that table, and see how well you do. Now for number 10, I'm going to say think very carefully about what you are going to call number 10. Okay, think really carefully, because some people often give this the wrong name and number seven, look really carefully at number seven as well. Because we have talked about shapes like number seven before. And there's that common misconception that people have over the name of what that is. Okay, think first name, last name. That's my clue for you. If you've been following the rest of these sessions, that will mean something to you, hopefully. So we shall see. Have a go at naming them and see how you do. When you're ready, come on back. So you're going to fill in this table with the names, and good luck. And welcome back. So let's take a look. Cast your eyes over again, play over those shapes. And just making sure that you've tried super hard if there was some that you didn't know, don't worry. We're going to talk about them in a moment. And let's see how well you did. A quick quiz question for you. How well do you remember, some of those shapes had four sides. Now there is a group collective name, we can give two shapes that have four sides. I wonder if you remember what we call four sided shapes. If you say quadrilateral, brilliant, bingo, you're spot on. You got it right. Well done. Any shape with four sides is called a quadrilateral. So let's see how you did it naming the rest of those shapes. We're going to have a look at the answers now. So shape number one was an octagon. I remember that because it has eight sides. And the Oct part reminds me of an octopus. Octopuses have eight tentacles. So that makes me think of an octagon. Pentagon, that's a five sided shape. The decagon, is a 10 sided shape. So number four is a square, and a square it belongs to the same family as number seven. So a square and shape number seven comes from the same family. They're both rectangles. So that should give you a clue. A little hint as to what number seven is now called. It's not called just a rectangle has a specific name. Number five is called a heptagon. Now that is a seven sided shape sometimes called a sectagon, as well, but it helps in sounds a little bit healthier. Number six a trapezium, the seven then the one that some people might have got tricked by it is a rectangle but it's a particular kind of rectangle. It's an oblong. Number eight. I have to go slowly when I say this, because I find this word it's got far too many l's in it. So I'm going to go slow. It's called a parallelogram. And I'm going to really quickly explain to you why, but try that word with me parallelogram Go for it. Probably so much better than me there. Let's just take a look then really closely at number eight. Now if we do look at shape number eight, the parallelogram, down here it is. You can see that the lines are sloped, looking quite unusual. They lean to one side, and these ones go straight across. Now, if I were to keep drawing these lines forever, keep going much straighter than that. If I were to keep going, keep going, keep going, keep going. And the same with this . What would they never do? They wouldn't never meet each other. Now, lines that travel side by side but don't meet each other are called parallel lines. And that's why this shape is called a parallelogram. Now, we've got over that, I'm going to stop saying it's look coz I really struggle with that one. Okay, let's keep going then, shall we, and see what the rest of our answers are. So for the rest of them, we should have had after the parallelogram, we've got our right angled triangle and the last one. Now, if you called it a diamond, that might be what we call it in, I don't know year one. But if we want to use the proper mathematical term for it, we're going to call it a rhombus. It's a bit like a square that someone's leaned on and it's squashed. Okay, so squash square, also known as a rhombus. All right, good start, guys. So how does this all fit in then with angles? Well, every corner of a shape is an angle. Every corner of a shape has a measurement. And we're going to look more closely at that next. So what is an angle? Well, an angle is formed when two lines of a shape or just two lines meet at a certain point. So wherever those two lines come into contact and touch anywhere you like it. weightless dancer, that's an angle. The space between those lines can be measured. Now when we measure lines, the length of a line it might be in centimetres, millimetres, metres. To measure an angle, we use degrees. Now it's not the same as degrees in terms of temperature. But we do still represent it using a similar symbol. And if you look really carefully, you can see that we Still have this little floaty zero, that just tells us that it's degrees, it's not zero, it's just there to show us that we're measuring part of a full circle of full turn. Now there are four main types of angles. And we're not going to be focusing on all of them this week. But the first one we have, and I'd like you to say them back to me. The first one is, acute. The next one is, right angle. Then we have, obtuse angle. And finally, reflex angle. Now each of those angles Well done by the way, has a particular property, there is a way we can recognise each of those angles. So let's look a little bit more closely at each of them. Just really quickly having a look over there. What you notice the angle by the way, is the bit that we've marked off with the curve or the square, the curve and the curve again, that shows us which bit is being measured. What do you notice about the order, I've put these angles on the page? You should notice that they start small and gradually get bigger. So they're increasing, increasing ,in size from acute to reflex, a reflex angle is much bigger than an acute angle. There are certain ways that I remember them. And we'll talk a little more about that as we go along. So let's focus in, shall we? Three types of angle, as a three types coming up. These are the ones that we're going to be focusing on mostly all over these next sessions. So don't worry about remembering all of them, but the three key ones that we're going to be looking at are coming up next. Now before we move on that, this is where you're going to need that paper. So this is me now turning into a proper children's television presenter, I feel like I'm doing a bit of crafting live on camera. However, I'm just going to do a real quick version of it. To show you so you we're going to need your two strips of paper or card. And if you have one, a split pen, or a paper clip, or even a bit of string will work, okay, I unfortunately had none of those things. So I'm going to just improvise by showing you how it will look. Now, when you've got your two strips. At the bottom, you can see I've got two little black dots. Those little black dots represent holes. Now you're going to need the holes to be similar kind of distance from the end. Once you've made those holes, you're going to lay them on top of each other like this. What I've done is I've tried to show you to line up the corners So if I line up those corners like that, I know that those holes are directly on top of each other, pick the hole and put through whatever it is, that's going to be holding those pieces of paper together. So then you'll have something that looks a bit like this. Now, this is almost like an arm now with an elbow in the corner, because that pen or string or paper clip will help you to be able to move the paper like this See, I can make all sorts of angles and lining them up all sorts of angles. And this will help us to estimate or measure an angle and see which ones are bigger than others. On the screen on the side here you can see I've got a very narrow angle like so. But I can make a much wider one as well. Yours will be much neater and much clearer than mine. And if you can, try two different colours like I've got on this example here on the screen, because that helps you to see very clearly where those lines are. Okay, so something like this real simple tip, real simple thing. And you can go away and investigate different angles around your home. What kind of angle is my beard at today? What kind of angle is my phone corner book corner, you can look at different angles and have a look, compare them. So this will help you as we're going through today. So let's go back to our three main focus types of angle. So the first type of angle we're looking at is an acute angle. Remember, an angle is where two lines meet. So our acute angle here, is a narrow small angle. Okay. And on our protractor here, a protractor. That's the equipment that we use to measure angles. On our protractor, you can see the number of degrees and let's focus on the outside numbers. The black ones, the number of degrees going around there. Here is 90 degrees, anything less than 90 degrees, so 80,70,60,50,40 and so on. That would be an acute angle. Okay? Anything less than 90 degrees is an acute angle. It's a small angle. And I remember that by thinking small, small things. So cute. That's how I remember an acute angle. Always cute, isn't it? See? That's my way of remembering that one. pretty ridiculous I know. And I remember at school when I learned it, and we drew it to make our acute angle, let me draw it up here. Our acute angle would have some whiskers, some ears, and it would be a mouse. Mouse is apparently quite cute. I'm not sure if everyone would agree with that. Some people probably quite scared of mice, but I would think okay, this angle here is a cute. Is acute angle less than 90 degrees. If somebody asks you By the way, what an acute angle is? Don't tell them it's really cute and small and fluffy like a mouse. You tell them less than 90 degrees. That's an acute angle. So moving on. The next one we're looking at is a right angle. Okay, now a right angle. We see these a lot in shapes, squares, oblongs. The corner is exactly , 90 degrees. Okay, I say exactly 90 degrees. So I remember a right angle by saying, a right angle is right, in the corner. It's exactly 90 degrees. Okay, so here we are. If it looks like an L, like the blue lines here, it looks like an L, it's 90 degrees. Now we represent a slightly differently, on some angles we do it with a curve. But on a right angle. Because it's right on the mark and it's right on 90 degrees, you make it a little square in the corner. The third type of angle we're going to be focusing in on over the next few sessions, is an obtuse angle. Okay? Now an obtuse angle, is anything that's bigger than 90 degrees, but less , than 180 degrees, okay? Bigger than 90, less than 180. So just remember that those are the three types of angle we're going to be focusing in on. So seeing now, if you can match the name of the angle, with the definition, and then there is an example. So you have three things there. Let me point those out to you. The three things you have on your screen You've got in the coloured box, you have the name of the angle. In the clear box, you've got the definition of what it is. And then in pink, you've got the lines that show an example of each of those, but they're all jumbled. Can you match the correct name, to the definition, to the image? Give yourself a few seconds. Pause the video and come back when you think you've got it. So let's take a look, shall we? Let's see how they worked. So an acute angle, it's less than 90 degrees. And look, it's this little angle here. A right angle is exactly 90 degrees and we're going to represent that, With a squared corner, and then an obtuse angle is more than 90, but less than 180. Okay? Pretty clear, pretty straight forward. Give you a few more seconds just have a look at that. If you're watching on a phone, you might want to take a little screenshot of that because it could help you with the next set of questions. So let's say estimate First of all, having a look at these you've got six boxes and into the boxes you have a pair of angles. First part is really easy. All you need to do is tick the angle in each box. That is the largest angle and find the biggest angle and tick it. If some of them are very close, you might want to use your little angle measure, a little angle estimator that we made earlier, you remember the little piece of equipment that we made out of our, papers, you might want to use those just to compare the angles. With that, what I would do is if they were very close I'd set it to one angle and then pick it up and put it on to the next one, and see whether it was bigger or smaller. And then one of these this marked off incorrectly, if you remember before, with the angles that we have here, I said to you that a right angle, we would measure off instead of with a curve, it would be a squared corner. Now one of these is incorrect, it's marked off wrong. So can you spot the right angle and put a circle around it? Okay, so those are the things that you're going to need to do. have got that here are your pairs tick, the bigger one and then find, the right angle. Now there are two angles that are really close. And one of them is a right angle one of them isn't. So try real hard to spot it. Pause and come back when you're ready. Okay, shall we see how you all did with that task? Let's, let's move on then to the answers. So cast your eyes over, I've ticked off the larger angle in each. And look here, right down here is our right angle. So the mistake here is that this should have been drawn. Like so. Not like a curve. This one, however, was really, really close to also being a right angle, but it was just just ever so slightly less. So if you did brilliantly on those, you are amazing, almost as amazing as also the skateboarding dog. Alright, moving on. Now, you have another couple of slides here if your main task. Now for each of these sets of angles, so you've got and on this screen, you can see that we've got for each set one, two, three, four angles, all you need to do is number them from one to four. One will be the smallest, four will be the largest. So if for example, I thought and I'm not sure if I'm right or not, because I'm not checking, but if I thought this was the smallest that would be number one. If I thought this was next, number two, number three, number four. Now hopefully, and I mean, really, hopefully, you disagree with me on that one. I think I've made some mistakes. So look very carefully and see one smallest, four the largest. You have two lots of these. You've got and here. And you've got and here. Okay? Give it a go. And when you're done, come on back. If you need to use your angle estimator, go for it. Not too bad, right? So let's see how you did. So I did try and trick you out on that first one. I numbered it all wrong on purpose in my example. You absolutely right, if you said that the smallest one was here. So if this is less than 90 degrees, what kind of angle is that? Yeah, that's an acute angle. Which one of those would be an obtuse angle? Yep. And number three, I would argue that number three should be represented like that because it's a yes. A right angle. Okay, and then looking at b, we've got our smallest number one, number two, number three, number four. And then on our next slide, the smallest clearly was this one here, number one. And number two, it was really close. I had to use my angle estimator here. Number three was just next, followed by number four. And again on this last one, so so so so close, number one, number two, and number three, we're all really, really close. Now just because the lines on this one are bigger, doesn't mean the angle is bigger. So just be careful with that. Okay, and then number four was our largest. Which one of those, was our obtuse angle? Yeah. Number four was obtuse because bigger than 90 degrees less than 180 degrees. Well done. Okay, so just check how you did that. Almost to the end. Good work today guys. So, here is your final task. There are three angles here that are closest to being right angles than any of the others. Remind me, what does the right angle look like? The corner of a square or an oblong so the corner of a rectangle? Is a bit like an L as well. So three of them are closer than any others. Can you spot them and circle them? Give yourself a few seconds to have a think about it. And what I would suggest is, use your angle estimator that we made to really help you this time, because some of those are real, real close. Okay. Have a go. Come back when you're ready. Welcome back, everybody. So shall we see how you did to see how close you got? So these were the three that I found to be much closer than the others. But then I thought to myself, okay, what about these two here? These are really close as well. So it could be quite a close argument between these ones and these two. This one is just less, these ones are just more. But it was very clear that this one here, and this one here were really close. In fact, this one is almost spot on. So before we go, let's see if we can name the type of angle, acute, right angle, and obtuse and you know what I'm going to do? I'm going to do this. Okay, so let's see, how well you can name the types of angle? Okay, we're going to see how you do. The first one then let's have a look. What do we think is? Acute, next one? Yep, obtuse. Next one. Right angle Yeah. And , obtuse, acute. Well done. obtuse. Acute, acute. Yep. Obtuse, obtuse. Acute. And. Okay, well done. Wow. We got through it. Seems like a lot today, didn't it? But you did an amazing job. So very, very well done.

Worksheet: Shape and symmetry: To compare and order angles

Exit Quiz: Shape and symmetry: To compare and order angles

Lesson summary: Shape and symmetry: To compare and order angles

In this lesson, you will be revising the names of different types of angles. We will be looking at what angles have in common with each other and what makes them different. We will estimate angles and learn the properties of various types of angles. We will use angle makers to experiment with different amounts of degrees and investigate the angles around us.

Maths

Shape and symmetry: To compare and order angles

Video

Worksheet

Plenary Quiz - Shape and symmetry - To compare and order angles

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Question 2

Question 3

Question 4

Question 5

Q1.What kind of angle is less than or equal to 45 degrees?

Q2.How many degrees in a right angle?

Q3.How many degrees on a straight line?

Q4.Which of these shapes can NEVER have a right angle?

Q5.What kind of angle is more than 90° and less than 180°