This document explains the Cartesian coordinate plane. It describes how the plane is divided into four quadrants by the x and y axes which intersect at the origin. It provides examples of plotting points using ordered pairs with coordinates (x,y). The document also notes that Rene Descartes developed this system by combining algebra and geometry. It includes an activity for students to physically position themselves on the x and y axes to learn the coordinate system.

1. Cartesian Coordinate Plane
PLOTTING POINTS
MR. CARLO JUSTINO J. LUNA
Malabanias Integrated School
Angeles City

2.  2,4
 5,1
-5
-5
5
5
 2,2 
 1,7 

3. If it continued to spread , it
would go right through
your neighbor . . .
Imagine the top surface of your
desk stretching in every direction.
. . . and then through the
classroom walls . . .

4. . . . and through the school and the
hills and the mountains and out into
space until it went on forever in every
direction.
Then you would have a plane.

5. In Algebra, we often use
the coordinate plane.
In mathematics, a plane is
a flat surface that goes on
forever in every direction.

6. Rene Descartes (1596 – 1650)
 Philosopher
 Mathematician
 joined Algebra and Geometry
 credited with Cartesian Plane

7. x axis
y axis
origin

8. The Cartesian
Plane is
divided into
four
quadrants.
III
III IV

9. (5, 6) is an
example of an
ordered pair.
(5, 6)
x coordinate
y coordinate
(5, 6)
5
6

10. (x, y)
in the door
up the elevator
It is like
entering a
hotel …
(– 3, 4)
(– 3, 4)
left 3
up 4

11. A (– 4, 6)
A (– 4, 6)
B (2, – 3)
B (2, – 3)
C (– 6, – 4)
C (– 6, – 4)
D (7, 3)
D (7, 3)
These points
all lie in
different
quadrants.
What do you
notice about
their
coordinates?

12. These points
all lie on the
axes, not in
quadrants.
What do you
notice about
their
coordinates?
F (0, 6)
F (0, 6)
E (5, 0)
H (0, – 3)
G (– 7, 0)
G (– 7, 0)H (0, – 3) E (5, 0)

15. Description: This activity is a game which will enable you
to learn the Rectangular Coordinate System.
Directions: Form two lines. Some of you will form a
horizontal line (𝑥-axis) and some for the vertical line (𝑦-
axis). These lines should intersect at the middle. Others
may stay at any quadrant separated by the lines. You may
sit down and will only stand when the coordinates of the
point, the axis or the quadrant you belong to is called.

16. Answer Activity 7 (Parts of
the Building) on page 126.

17. “Moving in the right
direction (even at a
microscopic rate) is always
faster than standing still.”
Anonymous

18. “If we are facing in the
right direction, all we have
to do is keep on walking.”
Zen Proverb

19. “Some beautiful paths
can’t be discovered
without getting lost.”
Erol Ozan

20.  What is the Rectangular Coordinate System
composed of?
 Where do you see the origin?
 What are the signs of coordinates of the points in
each quadrant ?
 Quadrant I
 Quadrant II
 Quadrant III
 Quadrant IV

21. Cartesian Coordinate Plane
PLOTTING POINTS
MR. CARLO JUSTINO J. LUNA
Malabanias Integrated School
Angeles City