RECTANGULAR
COORDINATE SYSTEM
Prepared by: Realyn G. Alcobilla
LET’S EXPLORE!
silence
observe
create
Rene Descartes was a French
man who lived in the 1600s. And
this a story of some people on how
he discovered the Rectangular
Coordinate System.
One day, Descartes noticed a fly
crawling around on the ceiling. He
watched the fly for a long time. He
wanted to know how to tell someone
else where the fly was.
Finally, he realized that he could
describe the position of the fly by its
distance from the walls of the room.
When he got out of bed, Descartes
wrote down what he had discovered.
Then he tried describing the
positions of points, the same way he
described the position of the fly.
Descartes had invented the
coordinate plane!
Unlocking of Terms
• Origin/ Axes – the point of intersection of two perpendicular lines.
• x – axis – vertical line
• y – axis – horizontal line
Unlocking of Terms
• Coordinate – pair of numbers that corresponds to a real number equal to its
distance from 0, positive if to the right and above, or negative if to the left
and below.
• Real Line - the line where a positive number has a corresponding negative
number from 0.
• Cartesian Plane / Coordinate System System/ Rectangular Coordinate consists of two perpendicular lines.
How
to Plot points in a
Cartesian Plane?
Steps in Plotting Points in a Cartesian Plane
1
Determine the quadrant where the coordinates belong.
Note: The signs of the coordinates will help you identify where what quadrant it belongs.
Q1 (+, +), Q2 (-, +), Q3 (-, -) and Q4 (+, -).
2
3
Locate the abscissa on x – axis and ordinate on y – axis.
Put a dot where the line intersects.
What does a
Cartesian Plane
looks like?
HOW COULD
WE
APPLY IT IN
REAL LIFE?
Suppose Jane and Joy belong to the class with the following seating arrangement.
Questions:
1.Using ordered pairs, how do we describe Jane’s seat?
How about Joy’s seat?
2.Using ordered pairs, how do we locate the seat of any
classmate of Jane and Joy?
3.Can we make a set of ordered pairs? If yes, state so.
rea
I
think
ready!
Direction:
Write the coordinates of each point. Identify the quadrant/ axis where
each point lies. Complete the table below.
Coordinates
1.
M (______, ______)
1.
A (______, ______)
1.
T (______, ______)
1.
H (______, ______)
1.
E (______, ______)
1.
M (______, ______)
1.
A (______, ______)
1.
T (______, ______)
1.
I (______, ______)
1.
C (______, ______)
1.
S (______, ______)
Quadrant/ Axis
Thank you!
Thank you!
Thank you!