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>> Now I said I was going to save the cube to last
because remember when I was showing you the tetrahedron I
said that there's more than one way to make that net,
well if you're curious about a cube,
let me just show you I've laid out some here.
I don't this may, this is probably going to take
up more space than the camera has close up here
but of course a cube has six faces and they are squares
but look what happens I mean pretty easily we can fold this
up to be a cube, okay.
Now I don't know if you remember how I had that, I think it was,
I think it was, let's see I'll probably unfold it
and make something totally different.
Boy I just did, I just made something different, okay.
I start, when I started out these two,
these two here were actually up here so I,
now this is a second net
that I've created, okay that's two nets.
About any idea how many of these there could be okay well let's
make sure.
Does this really fold up to a net
since this is a little different?
Yes this does fold up to be a cube.
Well, I have a little thing that you can do on your own
or VI teachers might want to suggest this
to their math teachers or suggest it to their students.
The NCTM, which is the National Council of Teachers
of Mathematics has a portion
of this website that's called Illuminations and I'm going
to show you something right now.
They have this and it says right there
and it's got a whole bunch of pictures of nets.
If we can capture this bottom part.
Look at all of those different nets
and it says there are exactly 11 nets that will form a cube,
which of the figures below can be folded into a cube.
Now this is on our website if you have vision you can click
on the figures to find out,
I'm going to show you there are even more figures--
look at this more nets and not all these fold
up into a cube, only 11 of them.
Well, I'm going to give you the answer okay
if you're wondering what happened,
if you go on line what happens if you click
on them it will tell you if it is or it isn't.
If it is it will change color and there now hopefully
if you can get a close up down here you'll be able to see
on this page that only 1, 2, 3, 4,
5 of those nets actually created a cube.
Some of them are pretty easy, this one only has 5 faces,
how could it possibly be a cube, you have to have six faces
and so forth but some of them it's just because like
with the tetrahedron
if you don't have the net formed correctly and you try to fold it
up they'll be some overlap
or you'll have several overlaps and so forth.
Let me go ahead and show you the second page of these,
we have another, let me see how many do we have here,
we have another 12 and we have 1, 2, 3, 4, 5,
6 of these that will actually work so we had six here and five
on the other page, that makes the 11
and the more your students are aware
of this they just need lots of experience with this so a lot
of times that's what I do is we take and we do the cube
and suddenly the cube which has been kind
of boring becomes pretty exciting because look at all
of these different nets, 11 nets will work
and fold up into a cube.
Let me tell you teachers if we're talking
about a totally blind student, if you were having to make all
of these nets on paper whether it be Swell paper
or Braille paper and having the students all try
to fold them up, believe me that takes a lot more time
and a lot more energy on your part then doing something
with the Velcro edged and I can use.
In other words I can use these same exact six faces,
these six squares and make all of these different nets
and fold them up into a cube.
So this is much, it takes less time
for the math or the VI teacher.
But guess what?
It's also got the perk that the students absolutely love working
with these too and then they don't have to,
they can be klutzy like Ms. O if they would like
and you don't have to have any scotch tape around or scissors,
etcetera so for me the person who can't find her scissors
and can't find the scotch tape this is fantastic.
So please take advantage of these particular manipulatives
from Geometro dot net that's www dot geometro dot net
or get them inside your APH Math Builders Volume 6 Geometry Kit,
enjoy, enjoy, enjoy.