Video1-Origin, axes, Quadrants
Math
Hi class, this is miss champagne and today I'm going to teach you about the coordinate plane or the Cartesian plane and plotting points on it. So this is a piece of graph paper. And what I want you to do is take this graph paper and fold it in half. So you're going to take it. Fold it, hot dog style. So just fold it straight across. Now this crease that you get when you open it, you are not going to put make this your axis. You're going to choose the blue line on either side of this crease, because your axis has to be on a blue line. So I'm going to choose this blue line. It doesn't matter which one you choose. So I'm just going to draw a line straight down. This is going to be my Y axis. And we'll discuss that in a minute. So just draw it straight down on the blue line all the way down to the edge of the page. Then you're going to fold it over hamburger style. It goes like this. And again, you're going to open up the crease, and you're going to choose the blue line that's closest to the crease. And this is going to be our excess axis. So I'm just going to choose this one. As long as it's on the blue line, you're good to go. Up here at the top, I have the ABCs. If you see, when we look at the alphabet, this is how we decide the X and the Y axis. The X goes first. So the X is always going to be your first number, because it comes first in alphabet. QRS two UV, W, X so X is always the first number Y is the second number. So when I look here, I'm going to label this, my X axis. I'm going to come here at the top and label this, the Y axis. And this grid looks just like a road map. And this is how we determine where people live. Right here in the center, this is called the origin. Origin. The origin is located at zero comma zero. This is zero zero. This is where you're going to start to plot points. You always come back here to the origin. I'm going to draw the letter C for coordinate. Where this C begins, this is called quadrant one. The seagulls around here to quadrant two. It goes down to quadrant three, and then it stops at quadrant four. These are called Roman numerals. So this little V is number 5. And you put one in front of it to represent four. So this is 5 minus one, which is four. Quadrant one, quadrant two, quadrant three, and quadrant four. If you come to the right, these are positive numbers. So this is a positive one. Positive two. Positive three. And notice that I'm skipping blue lines, which is fine. As long as you have the same setup on the other side, as long as you skip numbers on the other side also. Over here, I'm going to have negative numbers. So to the left is negative one, negative two, negative three, negative four, I'll do one more. And negative 5. That's the X axis. So the X axis you can only go right or left first. You have to go right or left first. The Y axis, this is going to be positive one, positive two, positive three, positive four, positive 5. And down here at the bottom is your negative numbers. So you have negative one, negative two, negative three, negative four, negative 5. When we plot a point, if you look at this paper right here, we're going to plot these points to create a gingerbread man. So here's a step one. We're looking at zero 9. So let's look at the vocabulary concerning zero 9. So I'm going to put zero comma 9 and I expect for you to write these notes on your paper. This zero, we said represents the X number. So when you see these two numbers, this first number, we can say, what is your X number? That's going to be zero. What is your Y number? That's going