﻿Hello, and welcome to this lesson about angles, describing and comparing angles. I'm Mr. Thomas, and I can't wait to be teaching you today. It's going to be so exciting. It's the start of our unit in angles. There's so much that we're going to learn and I really want you to stay focused throughout. So please take a moment to get away any distractions that are going to possibly distract you. So clear your brother, your sister, your pet, whatever it is that's going to distract you, out the way. Make sure you find a nice quiet space as well that you're not going to be disturbed in. So once that's all done, I'm going to just take a moment now for you to do that, once you're ready to go on, please just play the video once you've done that. Okay. I'm going to take it that you've cleared everything away, so let's get started. So what I'd like you to do is have a go to try this. I want you to have a think about, what's been said down there, how would you describe what an angle is and what do they measure? Pause the video and have a go at that now. Okay, excellent. So what did we think about, when we think about angle? Like what do they measure? Well, we have ones, for example here with number one, whereby we can see actually they're quite powerful things, they're like doors, they're sort of like on hinges so they can move. Right. We're thinking with number two, that there's, they're quite big, they can cover quite a lot of area. Number three, there can be multiple components, right? There's you know, there's this bit here with number three, whereby we've got a little small one there. we've got like a double thing now, looks a bit strange, we'll explore that soon. And then I've also got another thing here that something there, and then we've also got like a door lever, like a door handle of some sort, that can go up and down. So what we're starting to think about is like, what is an angle? How can we describe it? Well, like it moves, it can be measured? How do we get that all together? Well, what it is is one way that we can interpret an angle is a measure of turn and we measure it in degrees, right? We go all the way from 0 to 360 degrees when we're measuring angles. So with this first spot, we've got what we call a full turn, right? We've got a full turn here, and what a full turn is, is it's going all the way round from the start point, which is here, where I have to stared there all the way round, and that is going to give us 360 degrees by doing that. So when we follow that round, we get a full turn. So that one there we can mark on is a full turn and it's 360 degrees. So full turn equals 360 degrees. Again, apologies for my writing, 360 degrees. What about this one here then? So we've got, we're only going slightly. We notice actually there, that's really interesting. We've gone from here and we've gone all the way round here, so what's that going to be? Well, that is, if you notice is a quarter, right? And we can mark that on really interestingly as a right angle. So we've talked about a right angle, which is equal to 90 degrees, and that's a quarter of a turn. Now, combining that knowledge then I think we can see here if I did a line up like that, I could see that that was a quarter there and I could see that that's a quarter there. So that's going to be a half turn. So what I can start to think about is 90 multiplied by 2 gives me 180, doesn't it? So that there is what we call. That is what we call a half turn. And that is going to be equal to 180 degrees. What about this one over here? This far one over in the corner? Well, that's a little bit strange. That's sort of some of them combined, right? If I continue that dotted line down, we can see that that's going to be and continue across there, I can see that's going to be a quarter turn, that'd be another quarter turn, so a half turn and then another quarter turn as well. So what that's going to be is a three quarter turn. Three quarter turn, and that is equal to well, if I've got half turn of 180 degrees and then a quarter turn of 90 degrees, that of course is going to be them added together, which is going to be, did you get, 270 degrees. Very good. So 270 degrees. Okay. So that's us just playing around with angles to begin with and what they are. So one way we can interpret angles and measure of turn is measuring degrees. What I'd like us to think about now is the following, you've got a sheet that needs to be carried out and you need to fill in those blanks. I'm going to ask you to pause the video and fill out those blank spaces now. So pause the video and have a go. Okay. Very good. Let's go through the answers then. So one way we can interpret angle is a measure of what did you get, is it a measure of a third? Of course not. Is it a measure of degrees? Maybe? Is it a measure of turn though? Yes, of course it is that one there. We're going to fill out as turn. Angles can be measured in blank. So we've used turn so far, it's going to be in degrees, isn't it? Right. I can measure them in degrees. And then there are how many degrees in a full turn, how many degrees were there in a full turn? 360, wasn't it? Yeah. So 360 for that one there. So that full turn up there that's been illustrated is a full turn. In a half turn, that'd be half of 360. So what would that be 180 degrees, right? In a quarter of a turn, that's a quarter for 360, what's that? Quarter of 360, well by process of elimination I'm left with 90 degrees and I know I'm right with that one there, cause that's a quarter for 360. And then finally 120 degrees in a blank of a turn. Well, that's going to be a third of a turn. If I do a third of 360, I know that that is going to be 120, amazing. Let's go on so we can think about this. So you have an explore task now, that I'd like you to have a look at. I'd like you to look at Zaki's statement. Do you agree, Zaki's saying, "All the marked angles have different sizes." What do you think? Pause the video. Now, if you'd like to have a go or if you wouldn't like to have a go and you need some extra support, feel free to keep listening on. Very good. Let's go through this then. So we have the following, where if we look at this, we can see very clearly that the marked point up here is the same up here as it is up here. And it stretches out across the horizontal in exactly the same way, so actually, are they going to be different angles there? We need to think about it for now are they going to be different angles? Just because they're marked on differently in terms of where they're positioned, does that mean that they necessarily rotated the same sort of map, they turn the same map. Well, actually those are the same or different. They're the same. So these ones here are the same. What about these ones down here? Well, again if we look to follow the same idea as up here, let's have a think about it. We've got that marked on there and marked on there. And it stretches all the way across the horizontal like it did before. So again, it's just a differently marked position for the angle, but they're still rotated the same sort of like turn the same amount, right? So actually with this one, they're both the same as well. So just because of where it's marked on on the diagram, doesn't necessarily mean it is a different amount. So that brings us to the end of today's lesson. I just want to say you've done an amazing job to be able to keep up with this. Angles are such a massive topic in maths and it's one of the topics that I'm most excited about teaching when I teach in the classroom. I really hope that you are enthusiastic about it as well. You've done really well to keep up. I want to congratulate you on doing such a good job. Don't forget to do that post quiz at the end so you can smash your learning and prove just how much you've learned to me and everyone else. And again, take care, and I just want to say, amazing job. Let's see you in that next lesson that we're going to see explore angles a little bit further. Take care for now. Bye bye.

The mathematical object to measure an angle is...

A standard protractor (the one that was used in the video) measures from 0 degrees to...

If I accidentally measured an angle from 180 degrees instead of 0 degrees, and I noticed that it measured to 150 degrees, what would the angle truly measure?

The middle point of the mathematical object, where we line up the point at which the two lines meet, and where we measure an angle, is called...

I measure an angle accidentally from 85 degrees instead of 0 degrees and it measures 112 degrees. I have done this as accurately as possible. Does this mean that my angle is 27 degrees?

Describing and comparing angles

In this lesson, we will learn how to compare angles by classifying and estimating them.

Maths

Y7 Maths

Key Stage 3

Year 7

Angles

Geometry

THEME

UNIT

Measuring and drawing angles

Partitioning angles

Finding unknown angles

Exploring intersections

Transversal angles

Alternate angles

Corresponding and allied angles

The space BETWEEN two lines is called the...

The space OUTSIDE two lines is called the...

Two lines cross and form an intersection. One of the marked angles is 75 degrees. The vertically opposite angle to 75 degrees would be...

Which of the following best represents the definition of the word 'angle' in mathematics?

A full turn represents how many degrees?

If Angle A is greater than Angle B, how can I express this mathematically?

You are given that: 360 - R = S. Which of the following statements is correct?

Is it possible to draw a hexagon with three pairs of parallel sides?

Is it possible to draw a triangle with a pair of parallel sides?

Alternate angles only appear in the interior region.

Allied angles are equal.

If I have an equilateral triangle and a square around a point, what is the remaining angle left?

Lesson overview:Describing and comparing angles

Core Content

Angles: