Lesson video

Hello, my name is Mrs. Buckmire and today I'm going to be teaching you about nets of cubes.

Now first, make sure you've got a pen and paper.

And remember, anytime you need to pause the video, you can pause it.

And if you want to have something or write something down, that's fine.

Also, if you need to rewind it to hear something again, then do make sure you do that.

Okay, let's begin.

So try this task is which of these would not make a cube and why? So I've got a bit of a challenge for those that feel confident with this.

Can you find all the possible nets for a cube? Little hint, there are more than 10.

Okay, if you feel confident pause it now but otherwise, I'll give you some support on the next slide.

Okay, so if you're not sure then just have a little look at this cube.

Now what you can kind of do if you visualise we need to kind of create kind of the bottom, the base.

And then I like to kind of visualise and build up around that.

So for example with this one if we let this be the bottom, then try and think, Oh, where would all the other parts be in time fold it up and imagine it.

If you're really fortunate and you have permission from your parents or carers, maybe you've got scissors and paper and you can maybe even make these if you like, but in normally we don't have the time or opportunities to make them so do try and have a go visualise , I will go through it but do pause and just have a little ticking and crossing which will make a cube and which won't.

Okay, so this first one for the support, I actually I'm oops, where has my pen gone, I actually labelled part of it and it is true it does make a cube.

Now this next one on the left does not make it 'cause actually if we fold it up it would kind of just fold and keep on top of itself so it wouldn't make it.

So which ones did make cubes? How many did you get from here? Yeah so all together from this there are five that did and that means the other ones didn't now one of them you definitely could have said well this one doesn't because there are seven phases here one, two, three, four, five, six, seven but actually how many faces does a cube have? Good just six so this one definitely could have that could be an explanation.

I may with these you found explanations where actually they would have ended up overlapping on top of each other or not all the sides fitted while done if you got those.

You want to get the challenge.

Good job find all the possible nets for cube how many were there, yeah 11.

So here they all are.

Now the way I've grouped them with colour is my blue ones.

So this one, this one and this one blue group, on the B group, they all kind of have four in a row.

And then they have like one on either side.

So here's my fourth and then one on either side where they're not opposite.

While this yellow group I kind of group them together because they have like, let's say this our main stand and they have like three opposites and like a tee going off and this one's got a bit of an extra bit here.

And then the other.

So this I thought it has three in a row and then three, three in a row, three in a row.

And this was kind of the most different I thought, it doesn't really matter how you group them, but that's maybe how you can kind of check with mine that you've got the same, okay? So do you pause the video and have a little look.

Did you get them all? If you didn't then have a little more do you agree they definitely make nets of cubes? I think they do.

But hopefully haven't made mistakes.

So you check them as well.

Okay, so here I have a cube and what I'm going to do I just want to help you visualise unfolding it so and here it has the basis label so be in this length, and the width is labelled here and the height is labelled here.

But that doesn't really matter.

So don't worry about those labels at all.

But what you will see is as I move here, you can see how it's unfolding to create our net and those there you can then empty the corresponding lamps.

So what we can see at first we have taken off the lids, that's the top part.

And then we can see the front just coming forward, the left hand side to the left, the back goes down, and then it falls like this.

So if I was going to label it, I might label actually this being the base and then we could have the front we can just be as clear as anyone at the back the left hand side I'm going to say LHS, the right hand side.

And this is the top.

So looking again, where they come from, so the base is at the bottom, the left hand side is on the left the right hand side and the top.

Okay, so maybe actually by visualising it and thinking about it, oh, the front, the back the left side, the right side, the base, the top it might help you with visualising it.

Okay, I would like to practise kind of visualising the net of the cube.

So I've got some questions and this independent task now the questions are also on a worksheet and I would recommend actually looking at it there instead on the video, and so can pause the video.

Now let me just warn you first, so there are two pages So there's actually three questions.

Okay, so this is page one.

And if you want to pause and do it from the video, that's fine, you can pause it now.

Okay, and make sure you do page two as well.

So this is the third question make sure you have a go.

Okay, welcome back.

So part of the cube net is shown you have to shade one more box to complete the net.

So I bet you can shade in this kind of side here and the other side or at the top here, so hopefully you got the same answers.

Now a die is shown, a die is just a singular for dice.

So the number of dots on the opposite face of a die add to 7.

Fill in the missing faces.

So if this let's say this is like my bottom base and this is my top base, then this is going to have to have six.

Okay, if this is five, then actually opposite that one is going to be this one, so that must have two.

And finally the three and four, it doesn't really matter about the order.

So it could go three here and four here.

But going the other way around is fine as well.

Okay, a net is shown with the faces labelled.

Answer questions below about the constructed cube.

So which face will be adjacent to D and E.

So we'll touch D and E that's what means next to, so we'll definitely see cause we can see C will connect here to E and it's already touching D and F, cause F is connected here and will go around and touch D as well.

Identify the corners that will connect with the star.

So here is a star.

So I know this corner will connect there, like that.

And then since these ones will now connect as well there, then actually we'll end up with this corner here.

So between E and F, this point will actually connect with the star.

If you visualise how it will fold about.

Which face will be opposite each other, and there's a lots of different ones here.

So you could have A and D, you could have B and E, I could have C and F.

Okay, so this your explore task, what I want you to think about is when this net is folded into a cube, which sides will touch and which sides will be furthest apart? Now there's lots and lots of answers here.

So just have fun exploring and thinking about different things.

Now, if you have pen and paper and have a parent or carers permission, then you can cut it up and like try it out and talk about the different ones.

But it is really good practise to visualise.

It's a habit of visualising it, have a go.

Okay, so how did we do? Which sides will touch? Are ones that will definitely touch the ones like BC.

Yeah.

Or ML will D and E touch, no.

So it will be folded along here.

So E will be up there.

And so like kind of if I did little cube.

If this is D, then actually E would be up there.

And then we'd have E and F.

And so what would attach a D? Good, G would.

Okay, and which side will be furthest apart? So let's go from D again, what will be furthest from D? Yeah, N, so actually kind of, if we go back to this image, N is over here, while D is over here, so actually that kind of diagonal distance across that is the furthest distance okay? That's actually longer than the distance from like L to E.

So it's longer than this and horizontal distance and the diagonal distance is the fastest.

Okay, I hope you enjoyed kind of exploring that and learning a bit more about nets of cubes.

What can you remember from this lesson? What are the key learning points? Good, a net was used to create the 3D shape and how many nets of cubes are there? Well remember there were 11 okay you write down our key points that you think are important just make sure you highlight those.

If you'd like to share your work, please ask your parent or carer to share it on Instagram, Facebook or Twitter tag @OakNational, #LearnwithOak.

See you in the next lesson.

Bye.