The document provides lesson plans and worksheets for teaching students about the Cartesian coordinate system, including how to name and plot points, identify tourist attractions on a map of San Fernando City using coordinates, and create profiles of points in the coordinate plane that specify location and relationships to other points. The materials are intended to help students learn about and practice using the rectangular coordinate system.

1. Prepared by:
Teacher III

2. Learning Competency:
Illustrate the rectangular
coordinate system and its uses.
(M8AL-Ie-1)
Specific Objectives:
1. Name the coordinates of a
point in the Cartesian
coordinate plane.
2. Plot a set of data points.

3. TERM/ NAME TERM / NAME
A N
B O
C P
D Q
E R
F S
G T
H U
I V
J W
K X
L Y
M Z

4. Directions:
Answer the following questions.
Then, write your answer on the list where the
beginning letter of your answer is found.
1. Who invented the coordinate plane?
2. What is the term for the horizontal line?
3. What is the term for the vertical line?
4. What is the intersection of these two lines?
5. What is the term used for each of the four regions formed
through the intersection of the two perpendicular number lines?
6. What are used in naming these regions?
7. What is the direction of naming these regions?
8. How many points can be plotted on the coordinate plane?
9. In an ordered pair of numbers (𝑥, 𝑦), what is the term for the first
number 𝑥?
10. What is the term for the first number 𝑦?

5. TERM/ NAME TERM / NAME
A abscissa (9) N
B O origin (4); ordinate (10)
C counterclockwise (7) P
D Q quadrant (5)
E R Rene Descartes (1) ; Roman numerals (6)
F S
G T
H U
I infinite (8) V
J W
K X 𝑥-axis (2) ; 𝑥-coordinate (9)
L Y 𝑦-axis (3) ; 𝑦-coordinate (10)
M Z

6. Directions:
Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.

7. Directions: Directions: Name the tourist attraction or landmark
being shown. Then, identify the barangay where it is found.
1.
Thunderbird Resort
Poro, City of San Fernando, La Union

8. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
2.
La Union Botanical Garden
Cadaclan, City of San Fernando, La Union

9. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
3.
Bacsil Ridge Monument
Bacsil, City of San Fernando, La Union

10. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
4.
Pindangan Ruins
Parian, City of San Fernando, La Union

11. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
5.
La Union Provincial Capitol
Brgy. II, City of San Fernando, La Union

12. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
6.
Heroes’ Hill and Freedom Park Stairway
Brgy. II, City of San Fernando, La Union

13. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
7.
Pagoda Hill (Filipino-Chinese Friendship Park)
Brgy. II, City of San Fernando, La Union

14. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
8.
Christ the Redeemer Statue
Brgy. II, City of San Fernando, La Union

15. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
9.
Ma-cho Temple
Brgy I, City of San Fernando, La Union

16. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
10.
Tomb of the Unknown Soldier
Sevilla, City of San Fernando, La Union

17. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
11.
Saint William Cathedral
Brgy. I, City of San Fernando, La Union

18. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
12.
Poro Point Baywalk
Poro, City of San Fernando, La Union

19. Directions: Name the tourist attraction or landmark being
shown. Then, identify the barangay where it is found.
13.
Poro Point Lighthouse
Poro, City of San Fernando, La Union

20. What have you
learned in the
activity?
It will be helpful for us
to visit a place if we
know its exact name
and its exact location.
If you want to see
the tourist
attraction you have
identified, you
must know its
location first.
We have to familiarize
ourselves with the
tourist destinations in
our locality.

21. Point that corresponds to
an ordered pair
plot (used as a verb)
– to draw on a
graph or map
– to place a point
on a coordinate
plane by using 𝑥-
and 𝑦-coordinates
References:
https://www.mathisfun.com/definitions/plot.
html
https://www.icoachmath.com/math_diction
ary/plot.html

29. Directions: Using a coordinate plane with the map of the City of
San Fernando as backdrop, perform the following tasks:
SUPER EASY: Identify the coordinates of the point plotted on
the map where the barangay is located.
VERY EASY: Name the barangay where the point whose
coordinates on the map are given is found.
EASY: Name the barangay where the point whose location is
being described is plotted.

30. SUPER EASY VERY EASY EASY
The Varsity Math Players
JUBILO, Sharmaine Eunice
RAMORA, Alhea Andrea
ALBA, Christian Angelo
REPATO, Sherwin
BRAVO, Raineir
The Math Survivors
LARDIZABAL, Karl John Michael
TABLAZON, Quennie Andrea
TAGURA, Kyron Ralf
CASISON, Mae Kyla
MUNAR, Jhay Cee
The Math-emagicians
CABBIGAT, Daiseree Gwen
FLORES, Carljenn Xylk
FLORES, Mikaela Mae
MANGLUGAY, Jasmin
BAUTISTA, Angellica
The Algebros
RIVERA, Ryan Paolo
SILVERIE, Jefferson
DULAY, Jea Nicole
TABADA, Marjorie
CASUGA, Marvin
The Number Ninjas
CASTRO, Sean Alexies
DUCULAN, Sherwin
POTPOTAN, Jeffrey
ARELLANO, Julius
AQUINO, Rovick
The Math 𝝅rates
ANDRADA, Germaine Faith
BALICHA, Angel Rose
SANSANO, Carl John
DUMAGUIN, Mikko
JUCAR, Charlene
The ℝ Ones
AQUINO, James Jerico
DUCUSIIN, Meljohn
ORDOÑO, Mariella
GACAYAN, Arnold
DIAZ, Jhunsille
The Math-keteers
NISPEROS, Christian Wayne
MARTINEZ, Sharina Apols
DUCUSIN, Marc Christian
MARZO, Kyle Dominique
ASPRIN, Mark Ahlen
The 𝝅-thons
MARQUEZ, Christian Joseph
NISPEROS, Julie Ann
PINASEN, Hershey
ORDOÑO, Adriane
TADIFA, Michaella

32. Name of Barangay Ordered Pair
1 Pacpaco (8,6)
2 Poro (−11, 4)
3 Biday (−5,9)
4 Bangbangolan (5,7)
5 Cabarsican (2, −1)

33. Name of Barangay Ordered Pair
1 Abut (1,10)
2 Narra Oeste (−3,2)
3 Tanquigan (−2, −2)
4 Masicong (4, −3)
5 Birunget (1,2)

34. Name of Barangay Description of the Location of Point
1 Bacsil 6 units above the 𝑥-axis, 3 units to the right of 𝑦-axis
2 Carlatan 9 units above the 𝑥-axis and 7 units to the left of 𝑦-axis
3 Bangbangolan 7 units above the 𝑥-axis and 5 units to the right of 𝑦-axis
4 Tanquigan 2 units below the 𝑥-axis and 2 units to the left of 𝑦-axis
5 Masicong 3 units below the 𝑥-axis and 4 units to the right of 𝑦-axis

35. 1. Statisticians use graphed trend lines to show important
information such as how a business is performing and how
profit can be maximized.
2. Physicists and economists use coordinate planes to show
the connection between two factors.
3. Geographers used coordinate planes in mapping.
4. In archaeology and lab biology, coordinate planes are used
in sectioning.
5. Telephone companies charge long distance calls to their
subscribers through making use of the phone listing
coordinates which help them calculate easily the distance
between two cities.

36. A. Find the location of the seat of your
classmate using the ordered pair
(𝒓𝒐𝒘, 𝒄𝒐𝒍𝒖𝒎𝒏).
1. Marjorie
2. Meljohn
3. Michaella
4. Hershey
5. Jefferson
B. Name your classmate whose location
of seat using ordered pair 𝒓𝒐𝒘, 𝒄𝒐𝒍𝒖𝒎𝒏
is given.
1. 5,9
2. (4,4)
3. 1,4
4. 3,8
5. 2,2
T E A C H E R ’ S T A B L E
Sherwin R. Germaine
Faith
Marvin Jea Nicole Arnold Quennie
Andrea
Jefferson Raineir Jhunsille
Kyron Ralf Jhay Cee Angel
Rose
Adriane Sharmaine
Eunice
Michaella Christian
Wayne
Angelica Mikko
Rovick Ryan
Paolo
Carl John Marc
Christian
Marjorie Julius Jasmin Karl John
Michael
Mark
Ahlen
Hershey Mae Kyla Mariella Sean
Alexies
Carljenn
Xylk
Sherwin D. Christian
Angelo
Mikaela
Mae
Julie Ann
James
Jerico
Christian
Joseph
Meljohn Daisyree
Gwen
Charlene Alhea
Andrea
Jeffrey Kyle
Dominique
Sharina
Apols
Column
1
Column
2
Column
3
Column
4
Column
5
Column
6
Column
7
Column
8
Column
9
Row 1
Row 2
Row 3
Row 4
Row 5

37. PLOTTING POINTS ON THE COORDINATE PLANE
I know that I know how to ________________.
First, I _________________________________.
After that, _____________________________.
Then, _________________________________.
Finally, ________________________________.
start at (0,0)
I move over x units to the right or left
I move over y units up or down
I mark the point
plot a point on the coordinate plane

38. A. Name the ordered pair
of the plotted point.
B. Graph the point
whose coordinates
are given.
1. (7, −6)
2. (−5, −4)
3. (−6,0)
4. (0, −5)
5. (−2,5)
6. (4,3)

39. A. Name the ordered pair of the plotted point.
𝑨 (𝟐, 𝟒)
𝑩 (−𝟒, −𝟐)
𝑪 (𝟎, 𝟑)
𝑫 (𝟑, −𝟑)
𝑬 (−𝟏, 𝟔)
𝑭 (−𝟓, 𝟎)

40. B. Graph the point
whose coordinates are
given.
1. (7, −6)
2. (−5, −4)
3. (−6,0)
4. (0, −5)
5. (−2,5)
6. (4,3)

41. 1. Write an ordered pair that corresponds to a point found in any of the
quadrants. ______
2. In what quadrant it is found? ________
3. What is its 𝑥-coordinate or abscissa? ________
4. What is its 𝑦-coordinate or ordinate? ________
5. How far is the point from the 𝑥-axis? ________
6. How far is the point from the 𝑦-axis? ________
7. Give two points non-collinear to that point. ________
8. If you connect the first point from the second point given, connect the second
point to the third point given, and connect the third point to the first point, is
there a figure formed? ________ What is the figure formed? ________ Is it a
triangle? ________ If yes, what type of triangle is formed? ________
9. Give a fourth point. ________ If you, instead, connect the third point to the
fourth point, and connect the fourth point to the first point, is there a figure
formed? ________ If yes, what is it? ________ Is it a quadrilateral? ________
If yes, what type of quadrilateral it is? ________
10.Is there any other information you can add to this profile? __________
Direction: Create a profile of a point using the template below.

43. Copies of the activity sheets (“Group Work: „Together We Go!‟”, “Individual
Work: „So Mathdali!‟”, and “Additional Application: „Profiling‟”) and of the
lesson plan can be downloaded on the site provided below.
https://deped.academia.edu/JoeyValdriz