The document provides an overview of the rectangular coordinate system, also known as the Cartesian plane, which consists of two perpendicular number lines intersecting at the origin (0,0). It includes exercises to identify and plot coordinates, as well as exercises for students to describe the locations of various objects using ordered pairs. Additionally, the document contains a short quiz to assess understanding of the concepts related to coordinates and quadrants.

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SLIDESMANIA.
REVIEW
!

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0 1 2 3
-1
-4 -3 -2 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?

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Objectives
At the end of the lesson, I will be able
to:
●To define and illustrate a coordinate
plane
●To plots on the coordinate plane
●To determine the quadrants of the
given points

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RECTANGULAR
COORDINATE
SYSTEM
Prepared by: Ma. Rica Mae M. Rosete

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Activity: Identifying the Location
Suppose the books in the shelf are arranged in the
following manner.
1. By writing (row number, column number) how will you describe the
location of the following; Math textbook, Magazines
2. Using ordered pairs in form (row number, column number), how
will you locate the others books’ position on the shelf?

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SLIDESMANIA.
Rectangular Coordinate
Plane
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”.

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SLIDESMANIA.
Rectangular Coordinate
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.
Origin: (0, 0)

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SLIDESMANIA.
Rectangular Coordinate
Plane
The horizontal number line
is called the .
𝒙 − 𝒂𝒙𝒊𝒔
The vertical number line is
called the .
𝒚 − 𝒂𝒙𝒊𝒔

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SLIDESMANIA.
Rectangular Coordinate
Plane
It is composed of
infinitely many points.
Each point in the
coordinate system is
defined by an ordered
pair of form (x,y).
A

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SLIDESMANIA.
Rectangular Coordinate
Plane
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.
A
(-4, 4)

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SLIDESMANIA.
Example:
Use the Cartesian plane in
Figure 3 to plot the
coordinates of the following
ordered pairs.
GIVEN Coordinates Quadrant
M
A
T
H
M
A
T
H
(0, 4) y-axis
(4, 5) I
(-4, 2) II
(1, -4) IV
Figure 3

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SLIDESMANIA.
Activity: Objects’ Positions
Describe the location of each
point by completing the table. An
example is done for you
Objects Coordinates Quadrant
Ball (4, 2) I
Spoon
Television
set
Laptop
Bag
Pillow
Camera
Table
(6, -5) IV
(-5, 6) II
(2, -4) IV
(-4, -3) III
(1, 5) I
(0, 0) origin
(-2, 2) II

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SLIDESMANIA.
Assignment: Let’s Plot the
Points

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SHORT QUIZ!

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SHORT QUIZ: Quiz booklet
1. How do you write a pair of
coordinates?
a. (x, x) c. (x, y)
b. (y, x) d. (y, y)

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SHORT QUIZ: Quiz booklet
2. In the coordinates (4, 9), which
number is the y-coordinate?
a. 4 c. neither
b. 9 d. both

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SHORT QUIZ: Quiz booklet
3. Where is point E
located?
a. (2, 0) c. (0, 2)
b. (2, 2) d. (0,
0)

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4. The coordinate (4, -3) is in which
quadrant?
a. Quadrant 1 c. Quadrant 3
b. Quadrant 2 d. Quadrant 4
SHORT QUIZ: Quiz booklet

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5. Samantha is going to
draw a rectangle on this
grid. Give the co-
ordinates of the fourth
point on her rectangle.
a. (4, -6) c. (-4, -7)
b. (-6, 4) d. (4, 6)
SHORT QUIZ: Quiz booklet

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Lets Check!

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SHORT QUIZ: Quiz booklet
1. How do you write a pair of
coordinates?
a. (x, x) c. (x, y)
b. (y, x) d. (y, y)

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SHORT QUIZ: Quiz booklet
2. In the coordinates (4, 9), which
number is the y-coordinate?
a. 4 c. neither
b. 9 d. both

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SHORT QUIZ: Quiz booklet
3. Where is point E
located?
a. (2, 0) c. (0, 2)
b. (2, 2) d. (0,
0)

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4. The coordinate (4, -3) is in which
quadrant?
a. Quadrant 1 c. Quadrant 3
b. Quadrant 2 d. Quadrant 4
SHORT QUIZ: Quiz booklet

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5. Samantha is going to
draw a rectangle on this
grid. Give the co-
ordinates of the fourth
point on her rectangle.
a. (4, -6) c. (-4, -7)
b. (-6, 4) d. (4, 6)
SHORT QUIZ: Quiz booklet
x

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SLIDESMANIA.
Thank you!