The document explains the rectangular coordinate system, also known as the Cartesian plane, which consists of two perpendicular number lines, the x-axis and y-axis. It describes key concepts such as the origin, quadrants, coordinates, and how to plot points in this system. Additionally, it includes examples and activities that engage students in understanding and applying these concepts.

1. Finding Its
Location

2. N
S
E
W

3. RECTANGULAR
COORDINATE SYSTEM
OR
CARTESIAN PLANE

4. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
1
2
3
4
5
-5
-4
-3
-2
-1
 CONSIST OF TWO
NUMBER LINES
THAT INTERSECT AT
A RIGHT ANGLE

5. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
1
2
3
4
5
-5
-4
-3
-2
-1
Y
X
X- AXIS  THE
HORIZONTAL LINE
Y- AXIS
 THE
VERTICAL
LINE
COORDINATE AXES
 COMPOSED OF X-
AND Y- AXES

6. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
1
2
3
4
5
-5
-4
-3
-2
-1
Y
X
ORIGIN
THE POINT OF
INTERSECTION OF
THE COORDINATE
AXES

7. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
ORDERED PAIR OR COORDINATES OF THE POINT
 IT TELLS THE LOCATION OF A POINT
( X , Y )
X – COORDINATE
OR THE
ABSCISSA
Y – COORDINATE
OR THE
ORDINATE

8. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
1
2
3
4
5
-5
-4
-3
-2
-1
Y
X
ORIGIN
THE POINT OF
INTERSECTION OF
THE COORDINATE
AXES
(0, 0)

9. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
QUADRANT
 the four division of
the plane which is
labeled
counterclockwise
starting to the upper
right corner of the
Cartesian Plane
QUADRANT I  ( + , + )
QUADRANT II  ( - , + )
QUADRANT III  ( - , - )
QUADRANT IV  ( + , - )
( X , Y )

10. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
1
2
3
4
5
-5
-4
-3
-2
-1
Y
X
QUADRANT I
( + , + )
QUADRANT II
( - , + )
QUADRANT III
( - , - )
QUADRANT IV
( + , - )

11. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
1
2
3
4
5
-5
-4
-3
-2
-1
Y
X
EXAMPLE NO. 1 PLOT
POINT A ( 4, 2 )
A (4, 2)

12. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
1
2
3
4
5
-5
-4
-3
-2
-1
Y
X
EXAMPLE NO. 2 PLOT
POINTS A ( -1, 2 ), B ( 3, 3)
AND C (2, -3)
A (-1,2)
B (3,3)
C (2,-3)

13. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
1
2
3
4
5
-5
-4
-3
-2
-1
Y
X
EXAMPLE NO. 3 FIND THE COORDINATES OF THE POINTS AND ITS QUADRANT
(5,4)
QUADRANT I
J
K
L
M
(-3,1)
QUADRANT II
(-6,0)
ALONG X-AXIS (4,-4)
QUADRANT IV

14. GROUP ACTIVITY
2. Connect the points in alphabetical order then connect the last letter to
the first letter. What figure do the points make?
A(-6,1)
B(-6,3)
E(0,3)
F(2, 5)
1. Make a Cartesian plane on a manila paper. Use your 1x1 pictures to plot
the following points: (note: each member must answer one item only)
3. How can you relate the points being connected and the figure to how a
group must work?
C(-4,5)
D(-2, 5)
G(4,5)
H(6,3)
I(6,1)
J(0,-5)

15. RECTANGULAR
COORDINATE SYSTEM
OR
CARTESIAN PLANE

16. RECTANGULAR COORDINATE SYSTEM OR CARTESIAN PLANE
-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
1
2
3
4
5
-5
-4
-3
-2
-1
Y
X
QUADRANT I ( + , + )
YOU AND OTHERS
KNOW
QUADRANT II ( - , + )
YOU DON’T KNOW
BUT OTHERS KNOW
QUADRANT III ( - , - )
YOU AND OTHERS
DON’T KNOW
QUADRANT IV ( + , - )
YOU KNOW BUT
OTHERS DON’T KNOW
ABSCISSA = YOU ORDINATE = OTHERS

17. SEATWORK
I. DETERMINE THE COORDINATES AND QUADRANT OF
THE FOLLOWING POINT
1. K
2. L
3. M
4. N
5. O
6. P
7. Q
8. R
9. S
10. T
(-7,5)
(-6,-3)
(6,0)
(2,4)
(8,-5)
(-3,4)
(-3,-4)
(-1,0)
(0,-4)
(4,-4)
X
Y
-8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4
5
-5
-4
-3
-2
-1
1 2 3 4 5 6 7 8
K
L
M
N
O
P
Q
R
S T
QII
QIII
along x-axis
QI
QIV
QII
QIII
along x-axis
along y-axis
QIV

18. REFERENCES
Grade 8 Mathematics (Patterns and Practicalities)
By Gladys C. Nivera
pp. 157 – 163
Conceptual Math and Beyond I Elementary Algebra
By Liwag et al
pp. 263 – 269