The rectangular coordinate system, also known as the Cartesian coordinate system, was developed by the French mathematician René Descartes. It uses two perpendicular number lines, the x-axis and y-axis, that intersect at the origin (0,0) to locate points in a plane. Each point is identified with an ordered pair of numbers known as Cartesian coordinates that represent the distance from the origin on the x-axis and y-axis. The system divides the plane into four quadrants and allows points to be easily plotted and located.

2. Rectangular Coordinate System
• Also called CARTESIAN
COORDINATE SYSTEM.
• French mathematician René
Descartes (1596 – 1650) who is
known as the “Father of Modern
Mathematics” , came up with this
idea of his coordinate system, the
CARTESIAN PLANE.

3. Parts of the Cartesian Plane
• The Cartesian plane is
composed of two perpendicular
number lines that meet at the
point of origin (0, 0) and divide
the plane into four regions
called Quadrants.

4. Horizontal line= x-axis
Vertical line= y-axis
ORIGIN (0,0)

5. • It is composed of infinitely many
points. Each point in the coordinate
system is defined by an ordered pair
of the form (x, y).
• The first coordinate of a point is
called the x-coordinate or abscissa
and the second coordinate is called
the y-coordinate or ordinate.

6. Horizontal axis= x-axis
Vertical axis= y-axis
QUADRANT I
(+,+)
QUADRANT II
(-,+)
QUADRANT III
(-,-)
QUADRANT IV
(+,-)

7. GAME TIME!!!

8. •There are also points which
lie in the x- and y-axes. The
points which lie in the x-
axis have coordinates (x, 0)
and the points which lie in
the y-axis have coordinates
(0, y)

9. Horizontal axis= x-axis
Vertical axis= y-axis
(2, 0)
(0,-8)
(0,8)
(-2, 0)

10. GROUP ACTIVITY:
How can the Rectangular Coordinate
System be used in real life?

11. USES:
• Finding a particular place on the
map.
• To locate the seat of your classmate
in your classroom using ordered
pairs.
• Cartesian plane is used in drawing
objects.

12. SHORT QUIZ:
Illustrate a Cartesian plane. Plot and label
the following points.
1.C(0, 4)
2.2. A(3, -2)
3.3. R(-5, 3)
4. T(0, 7)
5. E(-3, 6)

13. ASSIGNMENT:
Research constellations and their
names. Choose the one that you
like most. Make your own
constellation using graphing paper,
ruler, pencil or ballpen, and any
coloring material.