Assignment - 09-Graphing Ordered Pairs
Assignment - 10-Graphing Practice Cartesian Cartoons
Graphing is another one of those things that the students have been doing for a few now. Each year, a little more complexity gets added to it. This year, we will be dealing with all four quadrants of a coordinate plane.
To understand the coordinate plane, we must few understand a few bits of vocabulary. The axes (ax-ees : plural of axis) are the lines which make the divisions between the four quadrants. the x-axis runs horizontally, and the y-axis runs vertically.
You will notice that Quadrant I is the top right. This is the quadrant the students are most familiar with working with. If you are a graphing a coordinate, a set up numbers written for a place on a graph, you always write the ‘x’ number first and the ‘y’ second. A coordinate would look like this (x,y) or as numbers (5,3). Positive ‘x’ numbers tell you to move the right, and positive ‘y’ numbers tell you to move up. If both numbers are positive, the coordinate will always be in the first quadrant.
The quadrants then move counter clockwise. The top left quadrant is Quadrant II. This quadrant is when you have a negative ‘x’ and a positive ‘y’, such as (-1,4).
The bottom let quadrant is Quadrant III. This quadrant is both negative ‘x’ and ‘y’, such as (-5,-1).
The final quadrant in the bottom right is Quadrant IV. A coordinate is in this quadrant when the ‘x’ is positive and the ‘y’ is negative, such as (2,-2).
You have a few other examples we need to discuss. If a coordinate has a zero in either the ‘x’ or ‘y’, it is not in any quadrant, it would just be said that it’s on the axis. (0,2) would be on the y-axis and (3,0) would be on the x-axis. For the coordinate that is zero in both ‘x’ and ‘y’, (0,0), it is called the origin. It’s called the origin because that’s where you should always start when moving to a specific coordinate.
The coordinates I’ve mentioned throughout the lesson here are listed to the right next to where they would be on the coordinate plane. They are also graphed on one with corresponding colors and numbers to the right.
