Josh wants to show his pen pal where he lives in relation to his school. Josh lives three blocks from his school. In fact, he lives three blocks South of his school. In order to coordinate where Josh lives in relation to his school, Josh has decided to graph the location of his school on a coordinate grid.
Do you know how to do this?
This Concept is about graphing ordered pairs in four quadrants. You will learn how to do this in this Concept.
Way back in an earlier Concept, you learned how to graph points on a coordinate grid. This coordinate grid only had one quadrant or section to it. This was necessary at the time because you didn’t know about integers yet. Here is a picture of the coordinate grid with only one quadrant.
Now let’s think back to that Concept and review some of the vocabulary associated with coordinate grids and graphing points.
Now we have point (3, 5) graphed on the coordinate grid.
But this isn’t the only coordinate grid! Now that you know about integers, we can see all four quadrants of the coordinate grid. While in the past we only graphed points in one quadrant, there are actually FOUR quadrants to the coordinate grid. Let’s take a look.
How can we graph points in all four quadrants?
Practice Identifying each ordered pair on the Coordinate grid.
Example A, B, C, D
Solution: A = (1,1), B = (-3,-1), C = (0, 4), D = (2, -3)
Here is the original problem once again.
Josh wants to show his pen pal where he lives in relation to his school. Josh lives three blocks from his school. In fact, he lives three blocks south of his school. In order to coordinate where Josh lives in relation to his school, Josh has decided to graph the location of his school on a coordinate grid.
Do you know how to do this?
To accomplish this goal, Josh drew a coordinate grid like this one.
He wants to graph his school three blocks south of his home.
To do this, Josh put his home at the origin which has the coordinates (0,0).
Then if Josh goes three blocks south of his school, we can put it at (0,3).
These are the coordinates of Josh's school.
Here is one for you to try on your own.
Identify the coordinates of the following point. Use an coordinate grid to help you.
Begin at the origin. Move five units to the right of the origin and three units down. Where are you?
If we begin at the origin, that has the coordinates of (0,0).
We move 5 units to the right on the x axis that is +5.
We move 3 units down, that is -3.
Our answer is (5, -3).
Here is a video for review.
Directions: Identify the coordinates of each of the points plotted on the coordinate grid.
Directions: Answer the following questions.
11. What is the center point called?
12. What are it's coordinates?
13. If you move to the right of the origin, are the values positive or negative?
14. What is the horizontal line called?
15. What is the vertical line called?
If we are going to plot a point on the coordinate grid we will have an
xcoordinate and a ycoordinate. We go across the xaxis to the xvalue and then up to the yvalue and that is where we plot the point.
If you look at each axis, you will see that there are positive and negative values on each axis. The
xaxis has positive values to the right of the origin, and negative values to the left of the origin. The yaxis has positive values above the origin and negative values below the origin. We can plot points in all four quadrants.
We can work on this in the same way that we did when we had only one quadrant. We use ordered pairs. There will be an
xvalue and a yvalue in the ordered pair. The xvalue can be positive or negative and the yvalue can be positive or negative. We start at the origin, move to the xvalue and then to the yvalue. Then we can graph the point.