The Coordinate Plane - Free Educational videos for Students in K-12

The Coordinate Plane - By Anywhere Math

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00:0-1	Welcome anywhere . Math . I'm Jeff Jacobson . And
00:02	today we're gonna talk about the coordinate plain . Let's
00:06	get started . Mhm . Okay . Today we're talking
00:26	about the coordinate plain . Now , before we get
00:29	to any examples , let's talk about exactly what the
00:32	coordinate plain is . Well , it's pretty slick .
00:36	It's formed by number lines . Basically you have a
00:41	horizontal number line which in this case we call an
00:46	axis and this one is the X axis . But
00:52	then to make a coordinate plane , we take this
00:54	number line , we copy it and we make it
00:58	vertical . Okay , so then we've got another vertical
01:02	number line and I'm just gonna get the other way
01:05	right now . Uh And same thing when we go
01:12	above or when we go up , the values are
01:16	positive and when we go down the values are again
01:20	negative . This vertical number line , that is my
01:24	Y axis . Okay . This whole thing here is
01:30	called the coordinate plain . Just to number lines put
01:34	together . That's basically all it is . Notice there's
01:37	arrows on all my axes , that means it just
01:40	goes on all directions forever . Uh Now , if
01:45	you notice this made four little sections uh and we
01:50	call those quadrants . Okay , this right here is
01:56	Quadrant one , and usually you'll see it often times
02:00	with a Roman numeral . What ? Uh this is
02:03	quadrant to hear , you probably could have guessed quadrant
02:09	three , 23 And here finally is quadrant four and
02:18	that's how you want , right ? The roman numeral
02:20	four . Uh So you notice we count the quadrants
02:24	going counterclockwise , kind of like a big sea going
02:28	counterclockwise . Also , if you look at the word
02:31	quadrant , you might look at quad and maybe you
02:34	think of like quadrilateral , quadrilateral has four sides quadrant
02:39	. There are four quadrants , quadrants 123 and four
02:43	. Now , let's talk about those quadrants real quick
02:46	. In the first quadrant , you'll notice that the
02:49	X coordinate here is positive . So is the why
02:53	? This is the only place where both coordinates are
02:55	always going to be positive . Now , over here
02:58	, quadrant to the X coordinates are going to be
03:02	negative but the Y are going to be positive quadrant
03:05	three , both are negative and quadrant four that X
03:10	is positive , but the Y is negative . Now
03:13	, what other things ? Uh This point right here
03:17	in the middle has a very special name and that's
03:21	called the origin . The origin . Is that zero
03:26	? Zero ? Okay . We need to talk about
03:29	one more thing before we move on to our first
03:32	example and that is what do we call a point
03:35	that we see in a coordinate plane ? Well ,
03:38	what we do is we use something called an ordered
03:40	pair . An ordered pair is a way of saying
03:44	, well this is what we do on the X
03:47	axis and then this is what we do on the
03:49	y axis , that's basically what you're doing . So
03:52	it always looks like this , it's called an ordered
03:58	pair . Because you have a pair of coordinates .
04:01	You have an X coordinate . That's what you do
04:04	on the X axis . You also have a Y
04:07	coordinate right after that . And that's what you do
04:09	on the Y axis . So it's called an ordered
04:13	pair . Because it's always in this order , the
04:16	X always comes first and then the Y . Okay
04:20	. So for example , m if we wanted to
04:24	know well where exactly is m in my coordinate plane
04:28	. Well first I find my ex corde it ,
04:31	what do I do on this X axis ? Well
04:34	to get over here first I got to go from
04:37	the origin over three . Right kind of hopefully you
04:43	guys can see that . So I went three over
04:47	on my X . Axis . So That x coordinate
04:51	is three . Okay now how did I get here
04:56	? What did I do on my Y . Axis
04:58	? That vertical uh that vertical amount . Well I
05:02	went up 12 up two . So that means my
05:11	why coordinate is too Mhm . The ordered pair that
05:17	corresponds with this point M . is 32 . Let's
05:22	get to our first example . Alright example one what
05:25	ordered parent corresponds to point T . So if we
05:28	look at our coordinate plane over here you can see
05:32	T . And if you remember the quadrant T .
05:35	Is in the fourth quadrant . Uh Now to get
05:40	there were always going to have to start at the
05:41	origin . Right ? And if I remember an ordered
05:44	pair is gonna look like this , I'm gonna have
05:47	parentheses . I'm gonna have my X . Coordinate 1st
05:51	. And then my why I'm starting at the origin
05:54	. What do I do on the X axis first
05:58	? Well if you look I need to go three
06:00	units to the right so my ex corn it is
06:04	going to be three . And then from there do
06:07	I go up positive or do I go down ?
06:10	Well to get to t I need to go down
06:13	and I need to go down three . I need
06:15	to go down to negative three . So negative three
06:19	. Then Is my Y coordinate . So to get
06:23	to pointy pointy is represented by this order pair 3
06:28	-3 . Here's some more to try and europe .
06:37	Okay example to plot -23 and 0 -3.5 in accorded
06:45	plane and describe their location . So I need to
06:49	plot them in a coordinate plane . So my first
06:51	job make my coordinate plane . I've got my coordinate
06:55	plane ready . Now let's plot our points first one
06:58	negative 23 again . Remember an ordered pair ? My
07:03	X coordinate comes first and then my Why ? So
07:07	negative two . I'm going negative too on my X
07:11	axis two to the left . And then I'm going
07:14	three up Going up three . So 123 . I
07:21	put my point there . Okay ? And I'm going
07:24	to label it -2 3 . That's where that is
07:29	. Uh to the next 10 negative 3.50 on the
07:33	X axis . I'm not going to the right ,
07:36	I'm not going to the left , I'm staying right
07:39	at the origin . Then I go negative 3.5 down
07:44	on my Y axis . So 123.5 would be right
07:49	in the middle , right there . So that's where
07:53	my next point is . Again , I'm going to
07:55	label it by writing the ordered pair . First part
08:01	is done . I plotted both of my points in
08:04	the coordinate plain . Now I need to describe their
08:07	location . So maybe I'll put that up here .
08:10	-23 . Sorry . Okay . Is in if you
08:18	remember we have four quadrants of the coordinate plain .
08:24	This is one , this is two quadrant two ,
08:27	so negative 23 is in uh sorry quadrant two and
08:40	zero -3.5 . Now this is a little tricky .
08:47	It's not in quadrant three , it's not in quadrant
08:50	four , it's not in any quadrant . Where is
08:53	it ? Well it's on the Y axis . Okay
08:58	, so that's what I'm going to say . -23
09:01	is on or sorry , is in quadrant two and
09:03	0 -3 is on the Y axis . So that's
09:13	how I describe their location . Here's some more to
09:17	try on your own . Well , hopefully now ,
09:25	you know a little bit about the basics of a
09:27	coordinate plane . As always . Thanks for watching .
09:30	And if you like this video , please subscribe

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