introduction to cartesian pl ane

1. RECTANGULAR
COORDINATE SYSTEM
BY: CATHY P. FRANCISCO

2. OBJECTIVES:
Define a Cartesian
plane.
Identify the quadrant/axis
does a point lie based on
the sign of the
coordinates.

3. REVIEW OF NUMBER LINE
0 1 2 3-1-2-3-4 4
1. What are the parts/composition of a number line?
2. Where is zero in the number line?
3. What integers can be seen on the left side of zero? What
about on the right of zero?

4. RECTANGULAR COORDINATE SYSTEM
 It is also known as xy plane or Cartesian Plane in
honor of the French Mathematician Rene Descartes
(1596-1650), who is known as the “Father of
Modern Mathematics”.
 It 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.
 It is composed of infinitely many points. Each point
in the coordinate system is defined by an ordered
pair of form (x,y).
 The first coordinate of a point is called the x-
coordinate or the abscissa.
 The second coordinate of a point is called the y-
coordinate or the ordinate.

5. RENE
DESCARTES

6.  The sign of the first and second coordinates of
point vary in the four quadrants as indicated
below:
 Quadrant I ( + , +)
 Quadrant II ( - , + )
 Quadrant III ( - , - )
 Quadrant IV ( + , -)
 There are also point which lie in 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), where x and y real
numbers.

7. CARTESIAN PLANE

11. IDENTIFY THE COORDINATES & THE
QUADRANT/AXIS WHERE THE FOLLOWING OBJECTS
WERE BELONGED.
OBJECT COORDINATES QUADRANT/AXIS
1. Spoon
2. Television set
3. Laptop
4. Bag
5. Pillow
6. Camera
7. table
IV
IV
(-5,6) II
(2,-4)
(-4,-3)
(6,-5)
(1,5)
(0,0)
III
(-2,2)
origin
II
I
p. 128

13. WRITE THE QUADRANT/AXIS WHERE THE
FOLLOWING POINTS BELONGED.
GIVEN ANSWER
 A(-2,-6)
 B(3,-3)
 C(-1,4)
 D(5,0)
 E(0,-2)
III
IV
II
x-axis
y-axis

14. EVALUATION:
 What is a Cartesian plane?
- It 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.
 Who is the “Father of Modern
Mathematics”?
- Rene Descartes

15. BRING THE FOLLOWING MATERIALS:
1. Graphing paper
2. Ruler
3. Pencil and ballpen
4. Coloring material

16. THANK YOU
AND
SEE YOU
TOMORROW!!!