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Polygons Tutorial video
LH
by
Lee Holman
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Updated Aug 9, 2023
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00:00
Chapter 1
Audio Transcript
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00:01 - 00:03
Good evening, my students.
00:04 - 00:07
Hey folks, my name is Mr Holman. I'm your teacher today
00:08 - 00:10
as any other day. Really?
00:10 - 00:13
And today we're gonna talk about math,
00:13 - 00:16
um particularly we're gonna talk about polygons.
00:17 - 00:19
Have you ever heard of a polygon? I know I have,
00:19 - 00:21
I mean, I'm teaching you about it.
00:21 - 00:26
I, I would think I would know what a polygon is if I'm teaching you about it. Right.
00:26 - 00:27
Anyway,
00:27 - 00:30
today, today, our objective
00:30 - 00:35
is that we are going to determine whether something is a polygon or not
00:35 - 00:37
based on the criteria
00:38 - 00:40
criteria for a polygon
00:40 - 00:45
is that the lines are straight, straight up and down, things like that
00:47 - 00:49
and that the shape is closed,
00:52 - 00:54
meaning that all four sides are connected
00:55 - 00:58
or all many sides. It could be more than just four. It could be
00:59 - 01:01
567,
01:01 - 01:03
it could be a septagon for it could be noon
01:04 - 01:05
which is nine, it could be
01:05 - 01:05
a
01:06 - 01:07
deagon, which is 10,
01:08 - 01:09
the amount of sites. Anyway.
01:10 - 01:11
So
01:11 - 01:15
we are going to look here at our background real quick.
01:15 - 01:17
This is our background for today.
01:18 - 01:20
It has some purple and some indigo
01:20 - 01:24
and some blue indigo is a combination of both blue and purple.
01:24 - 01:26
It can be found on the um
01:27 - 01:28
the rainbow,
01:28 - 01:31
natural rainbow. It's the I and Roy GB
01:33 - 01:35
and I'm going to pull up.
01:36 - 01:45
Um I also like this because it has shapes on it, 3d and 3d shapes like this like a sphere
01:45 - 01:46
and a cone.
01:49 - 01:51
So let's pull up Matha
01:51 - 01:54
which we have used in class before.
01:56 - 01:58
Go ahead and share my screen
01:59 - 02:04
here. We have our poly pad with our virtual manipulate manipulatives. Those are,
02:05 - 02:06
that's a long word.
02:07 - 02:08
And
02:08 - 02:10
as you see, I have all these shapes.
02:12 - 02:14
So we are going to determine
02:14 - 02:16
whether these shapes are polygons or not,
02:17 - 02:19
whether the shapes are polygons.
02:22 - 02:26
So let's go through these different ones. I've got my drawing tool here
02:27 - 02:32
to mark if an X or a check mark, if it's yes or no.
02:33 - 02:35
So let's go with this one.
02:35 - 02:37
We have ourselves a big circle.
02:39 - 02:41
Let's see. Does it have any straight lines?
02:42 - 02:43
Yeah.
02:45 - 02:48
Does it uh have any connecting?
02:48 - 02:49
Well,
02:50 - 02:50
no,
02:50 - 02:52
no, it's, it's not poly.
02:53 - 02:54
I would say it is not. It's probably gone
02:55 - 02:56
also.
02:57 - 03:01
What's pretty interesting is that a circle in reality is actually
03:01 - 03:03
a bunch of dots put together
03:03 - 03:04
because
03:05 - 03:07
you have to have a line
03:07 - 03:08
and so
03:09 - 03:10
lines can't be curved.
03:10 - 03:12
You'll learn about this later in high school,
03:13 - 03:17
but a circle is actually a bunch of dots. It's not, or a bunch of points.
03:17 - 03:20
It's not an actual line or anything of that nature.
03:22 - 03:25
Let's uh let's move on to the shape over here
03:25 - 03:28
with these three sides
03:29 - 03:30
or the line straight.
03:30 - 03:31
Yes.
03:32 - 03:33
But is it connected?
03:35 - 03:36
I will say
03:37 - 03:37
no,
03:38 - 03:40
there is a gap here
03:42 - 03:43
which
03:43 - 03:46
therefore qualifies it not as a polygon.
03:48 - 03:49
It, it's not,
03:50 - 03:51
unfortunately,
03:52 - 03:54
let's, let's see.
03:54 - 03:57
Here's this one over here, this big, this big shape that I have drawn here
03:58 - 03:59
or the line street.
04:00 - 04:01
Sure are
04:01 - 04:06
123456. We have a hexagon.
04:07 - 04:12
Yes. It's, it's a rather interesting hexagon. It's not a true Hexagon or at least
04:12 - 04:16
what you would be, what you would consider Hexagon.
04:16 - 04:20
But it actually is a Hixon because it has six sides.
04:20 - 04:22
Well, no, it's actually a Pentagon
04:23 - 04:28
because there's five outside sign uh sides. This line in the middle just
04:28 - 04:30
makes a separate shapes.
04:30 - 04:32
But, um,
04:33 - 04:36
it actually is a Pentagon. No, a Hexagon. Sorry about that.
04:37 - 04:41
Yeah, I didn't think about it but it, it's not like a regular Pentagon that you'd see.
04:41 - 04:42
It's,
04:43 - 04:45
but it is a pentagonal shape
04:46 - 04:47
and all the lines are straight
04:48 - 04:51
and they're all connected. So this is a polygon.
04:53 - 04:56
Let's, let's move over to this shape down here.
04:57 - 05:01
This is a big X with a couple lines crossing down the middle here.
05:02 - 05:03
There's some
05:03 - 05:06
geometry stuff you learn when it comes to using this shape.
05:06 - 05:08
This shape might be familiar to you.
05:09 - 05:09
Um
05:11 - 05:13
It's similar to this one over here,
05:15 - 05:19
but you'll learn, you'll have, when you talk about angles,
05:19 - 05:22
you will find that this shape is familiar to you.
05:22 - 05:23
I mean, it's not till,
05:24 - 05:28
not till high school, early, high school, you'll be doing this kind of geometry.
05:29 - 05:30
Let's move on. Shall I?
05:31 - 05:34
Um So let's see, the lines are straight.
05:34 - 05:36
There's four lines,
05:36 - 05:38
they're all straight and they're all connected.
05:38 - 05:40
So therefore, that makes this a polygon.
05:41 - 05:43
Let's move over here
05:43 - 05:44
to this shape.
05:46 - 05:47
It is a
05:47 - 05:49
combination of two things.
05:49 - 05:51
So there are straight lines, yes,
05:52 - 05:53
straight lines here.
05:53 - 05:55
But this is not a polygon.
05:57 - 05:59
Even though you have the shape here of a triangle
06:00 - 06:01
mixed in
06:01 - 06:04
that a triangle is a polygon. This triangle here is a polygon
06:05 - 06:08
but because it is not an individual shape,
06:09 - 06:12
it is part of this entire thing here.
06:13 - 06:16
There's a gap here that does not make it a polygon.
06:17 - 06:18
This is not polygon.
06:20 - 06:20
Unfortunately,
06:22 - 06:24
let's go over here
06:24 - 06:26
to this black widow type shape.
06:29 - 06:32
It's on the back of this or Hourglass is another name for it.
06:32 - 06:34
The Hourglass picture
06:34 - 06:35
or shape,
06:36 - 06:38
there's two triangles but together
06:39 - 06:41
the straight lines of straight
06:42 - 06:44
and they're all connected.
06:44 - 06:45
So this is a polygon.
06:46 - 06:49
So look at this shape here, shape of an L
06:50 - 06:52
and not on her forehead.
06:53 - 06:54
Uh You,
06:54 - 06:55
if you know the song,
06:56 - 07:00
everyone knows the song, smash mouth by smash mouth, but all star,
07:00 - 07:01
that's what it does.
07:02 - 07:04
Uh Anyway, moving on,
07:05 - 07:06
I uh tend to get off track here.
07:07 - 07:12
This shape here is an L. It is two straight lines, but it is open
07:13 - 07:15
if we're not making it a polygon.
07:15 - 07:17
Unfortunately,
07:18 - 07:21
then let's move on to this last shape here. We have
07:22 - 07:23
a trapezoid,
07:25 - 07:28
the assistant. It's, it's considered a trapezoid
07:29 - 07:33
actually. No, it's not, never mind. This wouldn't be a trapezoid. It's a, uh,
07:35 - 07:36
it's a square,
07:36 - 07:38
I think, I don't know. It's not really
07:39 - 07:41
zoid because these lines are not parallel
07:41 - 07:44
there and it's not a square because it's
07:45 - 07:48
not like this here. And even then that's really something of a square.
07:49 - 07:51
I don't know what it's called it, but it is
07:52 - 07:53
a shape
07:54 - 07:55
that I have drawn.
07:55 - 07:57
Now, let's see if it's a pogo,
07:58 - 08:01
it has the lines are straight
08:02 - 08:04
and they're all connected, which makes this
08:04 - 08:05
a polygon.
08:07 - 08:07
So hopefully,
08:09 - 08:11
as you were watching this video, you
08:12 - 08:14
could figure out
08:14 - 08:17
that which is a polygon and which isn't
08:19 - 08:22
the, remember if you remember the criteria for
08:24 - 08:25
the
08:26 - 08:29
polygon is that it needs to have straight lines,
08:29 - 08:29
which
08:30 - 08:31
this has straight lines here
08:32 - 08:36
and it needs to be closed. So these are closed here.
08:36 - 08:38
All these lines are closed together, they connected
08:39 - 08:40
and all that,
08:42 - 08:43
which makes it a polygon.
08:43 - 08:47
Now, if it doesn't have any straight lines like the circle here,
08:47 - 08:49
it is not considered a polygon.
08:49 - 08:52
I'm sure if you go around
08:52 - 08:56
since you've learned about polygons, you can go around and you can say,
08:56 - 08:57
hey, look, that's a polygon.
08:57 - 09:01
When you're looking at a street sign like a stop sign, which is a hexagon.
09:02 - 09:04
Or if you see a
09:04 - 09:08
uh a box, you say that's a polygon, three dimensional polygon.
09:12 - 09:13
And
09:14 - 09:18
yeah, there's all that. So this is all that I have for you today.
09:18 - 09:20
Let's stop the screen share.
09:21 - 09:23
So you can see my face again. Hey,
09:24 - 09:26
thank you guys for watching this video.
09:26 - 09:29
I hope you learned something about polygons today
09:30 - 09:33
and I'll be sure to catch you in the next one.
09:33 - 09:34
Peace.
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