Transcript
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The teachers introduce the coordinate plane, its x- and y-axes, and the origin. Students share observations and learn the basic structure of the plane, including quadrants.
Hi, I'm Ms.Chew and this is Ms.P.And welcome to Elga Middle School.This is our sixth grade collaborative math class.And today we're going to be learning about coordinate planes.All right, so in the center of your desk you have um one of our plastic sleeves with a coordinate plane on it.I want you guys to go ahead and grab one.You can each look at one.And we're going to look at the side that looks like the board.So it's the one that has five, not the not the smaller one that has something on this side.And with your partner, your elbow partner, the one sitting next to you.Oh, no markers yet.No markers.We'll do markers in a minute.With your elbow partner, I want you guys to talk about what are some of the things you notice about a coordinate plane.
This is a coordinate plane.I want you guys to talk about what do you notice about the coordinate plane?And I'm going to look for a quiet hand who can tell me something they noticed about this coordinate plane.Natalie, what's something you noticed?That they all have like the stuff that they have five.Okay, so this one stops at um five and negative five.Um but we have this arrow here.So what does that mean?It can keep on going.Very good.But this one just stops at five and negative five.I like that.Seth, what do you notice?A battleship.It looks like a battleship and I'm glad you brought that up.It kind of looks like a battleship game, doesn't it?How many of played battleship before?If not, we're going to play something like that this week.So you will know what it's like.
What else do you see, Diana?It has letters.And what do you see?You see a what?You see what letters do you say?You see an X and you see a Y axis.Ooh, that kind of reminds me of something else.What does that remind you?A graph, very good.Because doesn't a graph Now, we've just looked at kind of this side of a graph, right?Where we've seen the X and the Y axis, but now we get to see it all.What else do you think?It looks like a Wait, we've been working with number lines a lot, right?It looks like a number line.And what do you notice about this number line that you see?They come together.Where do they come together at?And what do you think?I'm going to look for a hand.What do you think the middle number would be?
What do you think the middle number would be, Bruce?Zero.Cuz let's see, I got a one, a one, a negative one, a negative one, and that must be zero.So, really quickly, this point right hereUm this point right here is called the origin.And its location is You ready?It's hard location.Its location is zero zero.Because where is it at?It's at zero, very good.Yes, ma'am.
Ooh, we're going to talk about that in a few minutes.That's why I said I'm looking for some um helpers today cuz we have a nice big coordinate plane that we're going to start looking at where are some of these points on a coordinate plane.So, we have our X axis, which is horizontal, our Y axis, which is vertical.Okay.And they meet at zero, very good.Now, I'm going to tell you something else.If you notice how many sections do we have in a coordinate plane?We have four, right?And we call them Now, I'm going to tell you I've had a hard time with this word cuz I keep wanting to say coordinate.They're quadrants.I see a word in there that shows me the number four.Do you see a word in there that shows me the number four?What do you see within there?
quad Quad, very good.So, I have four quadrants on my coordinate plane.
The class learns how to locate points by moving across the x-axis first and then along the y-axis. Several beanbag tosses demonstrate how to name ordered pairs like 1,0 and 2,2.
And they're really labeled really simply.So, this is quadrant one and this is quadrant two quadrant three and quadrant four.And this P was tell me something really cool the other day.Yeah, so what I taught my kids last year was you draw a big C.You start up here, so that's quadrant one quadrant two, three, and four.Now, to help you remember where the first quadrant is, second, third, and fourth.Cuz we're so Yeah, cuz we're so used to when we look at things, we look at everything in a clockwise motion, right?But this one happens to go in a stationary Do you know what that's called when you go the opposite way of clockwise?counterclockwise Counterclockwise, that's very good.All right.And so, we have We have lots of these little points.We're going to wind up graphing some points today or finding the location of some points today.
And I'm going to look for someone to help me out here.On the floor, you can see we have what?Um a coordinate plane.We have what?a coordinate plane A nice big coordinate plane, right?And we're going to plot some points in it.We're going to figure out where does Cuz each point has a special location, and we call that its ordered pair, okay?And we're going to find out where is each special location.And so, let's see.Bruce I want you to stand right here.And I want you to gently toss it onto the coordinate plane.Make sure it lands on the origin.Uh just gently toss it onto the coordinate plane.I don't know where it's going to land.Just gently toss it.
Oh, look at that.And he landed right where?zero He landed here.What did we call the zero?origin We called it it's origin.Very good.Look at that.I didn't mean for you to land right on the zero, but that's perfect.All right.Let's plot another point on here.And we're going to find out what quadrant it's in and what point it's located at.Brendan.Stand right here and just give it a little toss.All right.So, what do you notice?Where did his land?It landed on what line?Okay.So, what did we call this line right here?We called this the what?The x-axis.So, it landed right on the x-axis.I wonder what its location is on the coordinate plane.How would I figure that out?What do you think I could do?And I said some of you are used to playing Battleship, you kind of know how this works.
What do you think?You have to say take it and put start at the zero and then go to the what hit.All right.So, his point is right here.So, Brendan.She said you have to go start the zero.So, go start at the zero.Yep.Go step You can step on it.Step on it.And which way are you going to travel towards the a bean bag to the your point?You're going to travel, okay, towards the positive.And you moved how many?One spot.Now, are you going anywhere else?So, we're going to call this point and we're going to call it B for Brendan.We're going to call point B 1 0.Why do you think I'm calling it 1 0?What do you think?What do you think the one stands for?It landed on the x-axis, so we went over to the number one.
Did we go up or down any on the y-axis?No.So, we are at 1 0.So, that ordered pair for that point is 1 0.
More examples show points in different quadrants, including negative coordinates. The teacher helps students notice the pattern of positive and negative values in each quadrant.
Pick up that beanbag, bring that to me.I need someone else to help me out here.I need someone else to help me out here.All right, gently toss it.Oh, you guys keep throwing it on the zero.Try again.
We're trying to find There we go.And I'm going to move it so it's directly on a point.Excellent.And we have point Daily.And where is point Daily at?
Where is point Daily at?Daily, where should you start to find out where you're at?That's well, you got to start where?You're going to start at the zero.Now, which way should she walk to get to her point?Should she walk on the X or should she walk on the Y first?Ooh, we got X, we got Y.What do you think?Abby, which one?Why the X?
Okay.So, what I like to remember too is that and I know you have a saying.I always think of the alphabet, X comes before Y, right?And I know I like your saying too.And also, again, I taught last year, you crawl before you walk.Make sense?So, you have to crawl first, left to right, before you can stand up and walk.All right.So, let's go ahead and you need to walk over.Two, okay.So, she walked over two.So, her first point, her first part of the ordered pair is positive two.And now, where are you going to get to the beanbag?All right, and how many?Two.So, her point is at two two.So, the X it's at two, the Y it's at two.Very good.Give me that beanbag.All right.Let's have Ethan.Come on.Oh, what what um while Ethan's getting ready for it, what um quadrant was it in?
One.It was in the first quadrant, two two.All right.All right, Ethan.Excellent.I love it.He threw it in what quadrant?One.Three.In three, cuz we got to go around and say one, two three.Very good.And he's going to start at zero.And he's going to walk which way first, on the X or the Y?The X.The X.So, where are you going?This is point E for Ethan.He went to the negative one.to negative one.All right, and now you're going to goto What is that?Negative one.It's negative one.So, he went on the X axis to negative one, and then down the Y to negative one.So, his point is located at negative one.negative one negative one.negative one.Very good.We're going to do one more.I want to see if someone can get it in the fourth quadrant, the fourth quadrant.
I don't know.I went already.You did go already.All right.Seth.I'm going to let Seth do it.That's all right.I got We got other things you can do.All right.Try to get in the fourth quadrant.Did you already do one?No.Okay.That was Bruce.Excellent.Oh, you got to walk it first, right?Oh, yeah.Oh, that's right.So, let's see.He threw it in the fourth quadrant.And I want you to walk which way first?Positive Okay, we're going to walk the X first.So, this is point S for Seth.And you're going to the what?Two.Two.Bless you.
Two, which one?Negative two.Negative two.So, he went to two, negative two.I love it.Hand me that bean bag really quickly.It is.So, he went over positive two, and then he came down.Two, negative two.So, that's where his point is.It was at two, negative two.Did we get one in quadrant two?We didn't get one in quadrant two.Okay, we need one in quadrant two.All right, Hope, come on.Last one.
It happens.All right, very good.So, where are we starting?This is point H for Hope.Oop, let's go back to zero.So, we're always going to what?Crawl before we walk, right?So, we're going to go over to what?
So, what point are you at?Negative One.Negative one, and then you're going to goTo positive one.So, she's at negative one, positive one.Thank you, ma'am.Right now, looking at their points.So, we had Bruce at 1 0, we had Diana at 2 2, Ethan was at negative one, negative one.We had Seth at 2 negative 2, and we have Hope.Hope at negative 1 1.
Students work with pom-poms to identify quadrants and ordered pairs on their own coordinate planes. The lesson ends with guided corrections, review of coordinate notation, and a brief wrap-up.
Daily, I'm sorry.Sorry, thank you.Um, what do you notice about the points in each quadrant?I want you guys to talk to your partner.What do you notice about the points in each quadrant?So, let's look at this really quickly.And I think maybe if we look at quadrant one.Now, we said that we have to walk across the We have to crawl across the X before we walk up the Y, right?And so, what kind of numbers are we looking at in quadrant one?We're working with positive and Well, let's look at these numbers.These are what?Look at these numbers one more time.They're positive.So, we're working with positive positive numbers in our first quadrant.What about in the second quadrant?Well, let's see.Where do I go first?negative and then what?Positive.So, I have negative then positive numbers.
When I go to quadrant three, Ethan, I go negative negative.Do you think this is going to happen every time?Oh, let's see.And then when I go to the fourth quadrant, I go positive then negative.So, we're going to see if this happens all the time, okay?At your table, you're going to need one just one one of the coordinate planes.You can put the others back.So, per partner, sorry.You're going to need with your partner one coordinate plane.You're going to need one cup that has little pom-poms in it.And then I'm going to give you a recording sheet.But before you start, I'm going to tell you what you're going to do.
All right.Sit.Thank you.All right.I need all eyes on me real quick so I can show you what you can do.With your partner with your partner, you have four pom-poms.And these are going to become your points on the coordinate plane, okay?So, partner number one is going to just drop their points on the plane.Now, if it doesn't go on the plane, you're going to have to pick them up, okay?Partner two, their job is to write down two things.What quadrant did that point fall in?And you're going to have to write down the ordered pair.So, how do I get to that point?All right.Then you're going to switch and partner two will get to drop the pom-poms and partner one will They just need one per group.Yes, ma'am.You may.That's a great question.Abby asked if she can use expo markers to mark those points once they fall, you may.
And I'm going to give you guys probably about 5 minutes, 6 minutes to work on this.
Yep.Mhm.Yeah, I just did that over here.Mhm.So, first what quadrant is this located in?Is it in the second?So, we're going to write that down.You got to make sure she's right, Steven.Is she right?Okay.And then, how are you going to do the ordered pair?What are you going to do?But what is that it?It's what?Negative four.
Mhm.So, your point is what?The location is what?Negative four.Positive four.Correct.And you separate that with a comma.
Almost.All right.Okay, so drop it on there.Yep, drop it on there.So, then Jamari has to tell me He has to write down But you're going to write it on here.That's cuz this is your recording page.That's okay.So, you're going to write down what quadrant is it located in?So, what quadrant is it located in?Is it the first, second, third, or fourth?The fourth?Okay.AndAnd where is it located?Over So, it's three what?Positive three.And then where do you go?
Three and So, not two.Let's look at that.So, it's at three, right?So, we go across the x-axis and then we're going to go up or down the y and roll them again.So, this is located right here, right?We go over to positive three and then we're going to go which way, up or down?We're going to go down to what?What numbers are we No, what's the word for negative one?What?So, it might help if you do this.Where's your marker?So, it might help too when you need a place.So, put your little point on there.I'm going to put the marker
So, you started here.Thank you for watching.I hope you really enjoyed our lesson today.Good job.