Lesson video

Hello, and welcome to this lesson about bearings on polar grids.

For today's lesson.

All you need is a pen and paper or something to write on and with.

Please take a moment now to clear away any distractions, including turning off a notifications.

Finally, if you can please try and find a quiet space to work but you won't be disturbed.

Okay, So when you ready, let's begin.

Okay, I'd like us to have a go into this read Carla's Statement Can you make similar statements about the other points? So I would like you to pause the video and have a go pause in three, two, one.

Okay, Welcome back.

Now let's have a look at What we can do.

So here We've got A is six centimetres, an angle of 30.

How did Carla know It was an angle of 30.

Well, there's a few different ways that we can think about it.

The first way is that the full circle is split into one, two, three, four, five, six, seven, eight, nine, 10, 11, 12, 12 sections so we can do this calculation here, Okay? That's not the only way.

If you go straight down, you can see that 180 degrees is split into one, two, three, four, five, six sections.

or 90 degrees is split into one, two, three sections, either way, any way you do it, that will get tell you that each section has an angle of 30 degrees.

So if that's 30, I've got a bearing of 030 that has a bearing of 060, 090, 120 increasing in multiples of 30.

So you might've got this B has a bearing of 120 and there's one, two, three steps away.

You might've got C is on a bearing of 150 and there's one, two, three, four, five steps away F I'm going to skip to F that's 30 less than the full term.

So that is a baring of 330, and that is one, two, three steps away.

So hopefully you got these and hopefully you've got this was on a band of 270, and this was on a one, two, three, four steps.

And this was on a bearing of 240 and two steps away, Okay? And really well done if you've got them correct.

So we're going to look at some other grids now, what are the bearings of A and of B? Well, we can count all of these and it takes a while, but there's 24.

So we could do this.

Well, you know, you're more likely to make mistakes, having to count all of these.

So I can see that this line here is 90.

So how many sectors are in 90? One, Two, three, four, five, six, much easier.

Okay, so that's the way that I would do it personally for this question.

So if each sector is 15 degrees and we start now and we go clockwise, that means the A is on a bearing of 015 for B, well that's 90.

I don't know the 15, I don't know that, I don't know that.

Oh, well, that way around isn't great.

Okay, cause you know, that's lots of added on 15, but we could do 180 take away 15 much easier, which gives us a bearing of 165, Okay? Could you add two more points to form a rectangle? Let's try on this line here.

So I want a right angle here.

So what about a point there? Well, that would be a right angle.

Well, if I've got that point there and that line there, then this Moscow like this here and then going down like that, I now have four, right angles, two opposite sides of equal length.

So I have a right angle.

Now I wonder if there's others.

I wonder if we could have done one diagonally.

I might've worked, Okay.

And we'll explore shapes a little bit later.

What are the bearings of these new points? Okay, so what's the bearing of this? Well, 180 plus 15, that is on a bearing of 195.

That is one before a full turn.

So 360, take 15, 345, Okay.

So we're going to do a little bit of multiple choice quiz now.

So if you do need more time, pause the video.

Okay, Five, four, three, two, one, Okay, that is not correct because there are one, two, three, four, five, six, seven, eight, eight sections not nine in 180 degrees, Okay, so now I'd like you to have a go at the independent task.

So you need to find the bearing of each of these points.

And the B is under my first there C, D and E, and then try and draw a bearing of 60 degrees on three diagrams. You might be able to do it on the wall, but I want you to do it on three, Okay.

And I want you to do it on the three, the easiest.

And I want you to try and think why those three are the easiest and try and explain that, Okay? So pause the video to complete your task resume once you've finished.

Okay, so here are the answers.

I'd like you to pause the video and Mark your work please, Okay.

So why were these three the easiest? Well, because 15 goes into 60, 30 goes into 60.

So we didn't have to find any points between segments.

We could just use the points that are on the line.

So I thought those three were the easiest.

And hopefully you agree.

And hopefully that's kind was the explanation that you had.

Now.

We've got an explore task and this explore task is quite tricky, Okay? So I'd like you to just pause the video and try and complete the task.

However, if you are struggling, I've got not one, but two hints, all right? So have a goal or come back if you need to.

Okay, so my first hint, these are the properties of quadrilaterals and I think they'll really help get, especially comparing the properties of a square and a rhombus.

Okay, so if you'd like to go back to the task and have a goal, then please do so.

if you want to stick around for another hint then do, I'm going to put up one coordinate for each of them.

So this one is for the Kite.

You need to find that all the coordinator and all the bearings.

Here we've got a square and a rhombus.

You need to find the other coordinator and the bearings.

And here we've got our final two, a rectangle and isoceles trapezium.

Do you need to find the other coordinate and the bearings? Okay, so they are all the hints that I am going to give you.

So I'd like to pause the video and finish off that task if you can.

Okay, so here are some answers.

Now I didn't want to put the bearings of my answers yet because you can have many different kites.

I just wanted to show you how you could do each of the shapes.

And if you haven't managed to do each of the shapes yet now is a great time to find the bearings of each of these points.

So there's my kite, there's my square.

And there's my rhombus, there's my rectangle.

And there's my isosceles trapezoid.

Okay, And that is it for today's lesson I really well done for all the hard work.

I hope you enjoyed it.

And if you'd like to please ask your parent or carer to share your work on Twitter, targeting @OakNational and #LearnwithOak.

Thank you very much.

I will see you in the next lesson.