1. The Coordinate Plane
Mr. Thiel

2. Learning Objective and Essential Questions
Objective: Today you learn vocabulary about the coordinate plane and how to graph ordered pairs.
Essential Question: How can I use a coordinate plan to help find a location?

3. x-axis y x 5 -4 -2 1 3 -5 -1 4 -3 2
The horizontal number line.

4. y-axis y x 5 -4 -2 1 3 -5 -1 4 -3 2
The vertical number line.

5. Origin The point where the x-axis and y-axis meet. O y x 5 -4 -2 1 3-5 -1 4 -3 2 O
The point where the x-axis and y-axis meet.

6. y x 5 -4 -2 1 3 -5 -1 4 -3 2
Quadrants
Quadrant II
(–, +)
Quadrant I
(+, +)
The two axes separate the coordinate plane into 4 regions called quadrants.
Quadrant III
(–, –)
Quadrant IV
(+, –)

7. Ordered Pair y x 5 -4 -2 1 3 -5 -1 4 -3 2
Used to show the position of a point or location on a coordinate plane.
The first number represents the x-axis and the second number represents the y-axis
(x, y)

8. Graphing Ordered Pairs (x, y)5 -4 -2 1 3 -5 -1 4 -3 2
Graph point A (3, 2)
The first number, 3, refers to how far over on the x-axis you go.
The second number, 2, refers to how far up or down you go on the y-axis.

9. Graphing Ordered Pairs (x, y)5 -4 -2 1 3 -5 -1 4 -3 2
Graph point B at (2, -3).
The first number, 2, refers to how far over on the x-axis you go.
The second number, -3, refers to how far up or down you go on the y-axis.

10. Graphing Ordered Pairs (x, y)5 -4 -2 1 3 -5 -1 4 -3 2
Plot and label the following points…
A (-2, 4), B (-2, -1), C (4, 2), D (3, -3)

11. Give the coordinates of E, F, G, and Hy x 5 -4 -2 1 3 -5 -1 4 -3 2 E F
Point E:
Point F:
Point G:
Point H: H G

12. Graphing on a Coordinate Plane…
On a piece of graph paper, create a coordinate plane and plot the following points:
Point A (2, 4)
Point B (2,0)
Point C (2, -3)
Point D (2, -5)
What do you notice about these points?
Write a general statement about points that have the same x-coordinate. y x 5 -4 -2 1 3 -5 -1 4 -3 2

13. Graphing on a Coordinate Plane…
On the same coordinate plane graph…
Point W (-4, -4)
Point X (-2, -4)
Point Y (0, -4)
Point Z (3, -4)
What do you notice about these points?
Write a general statement about points that have the same y-coordinate y x 5 -4 -2 1 3 -5 -1 4 -3 2

14. Distance on a Coordinate Planey x 5 -4 -2 1 3 -5 -1 4 -3 2 A
Count the number of times you jump from one point to the other point.
Plot the points A (-4, 2) and B (3,2)
What is the distance between point A and point B? B

15. Distance on Coordinate Planey x 5 -4 -2 1 3 -5 -1 4 -3 2
What is the distance from point M (3, 1) to point N (3, -4)?
What is the distance from point R (-4, -3) to point T (5, -3)?

16. Distance on Coordinate Planey x 5 -4 -2 1 3 -5 -1 4 -3 2
What is the distance from point J (5, -2) to point K (5, 4)?
What is the distance from point L (-4, -1) to point M (3, -1)?

17. Distance on a Coordinate Planey x 5 -4 -2 1 3 -5 -1 4 -3 2
The following points can be connected to create a rectangle.
Point F (-4, -3), G (-4, 2), H (3, 2), and I (3, -3).
What is the perimeter of the rectangle?