Grade 8 cartesian plane

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Lesson Exemplar
Grade Level: Grade 8 Learning Area: Mathematics 8: First Quarter
Learning Area/s Integrated:
Integration Approach Used: (Please tick.)
Multidisciplinary Interdisciplinary / Transdisciplinary
I. 21st
Century Skills to be developed (Please tick.)
/ Communication / Learning and Innovation / Problem Solving
/ Critical Thinking / Information Media and Technology / Life and Career
II. Focused Learning Competencies (LC)
M8/1st
QTR- The learner is able to formulate real-life problems involving linear
equations in two variables.
III.Focused GAD principle/s to be integrated: Promote the concept that regardless the gender
everyone are capable of doing anything especially in choosing a career.
IV. Intended Learning Outcomes
Knowledge define a Rectangular Coordinate System;
Skills plot the coordinates on the Cartesian Coordinate Plane;
Attitude determine the coordinates of the given point on the
Cartesian Plane;
Values appreciate the uses of Cartesian Plane to a real-life
situation.
IV. Learning Content/s RECTANGULAR COORDINATE SYSTEM AND ITS USES
Concept Rectangular Coordinate System is a system in which the
location of a point is given by the coordinates that represent its
distances from perpendicular lines that intersect at a point called
origin.
DRRE
Demonstrate preparedness by securing the maps.
GAD Equal opportunity for both male and female to do various tasks.
Reference/s Mathematics for Grade 8: a spiral Approach; Mathematics Grade
8 Learner’s Module 6
IMs Markers, Visual Aids,
GAD-Based CEBU Model

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2. Explore (15 minutes) Activity 2: FIND ME!
Direction: Define each of the following:
1. Origin the two points were they
intersect
2. Quadrants The region of Cartesian plane
formed when the x-axis and y-
axis intersect each other.
3. Abscissa The x coordinate
4. Ordered pair It’s composed two the x and y
coordinate
5. Rectangular Coordinate
Plane
The two dimensional grid form
by drawing two number line,
one line is perpendicular , one
line is perpendicular to the
other.
6. Horinzontal number line The x-coordinate axis
7. Vertical number line The y-coordinate axis
8.ordinate The y coordinate.
3. Explain (10 minutes) Activity 3: Locate Me!
Direction: Name the parts and locate it
the in the Cartesian coordinate system.
Undefined Terms:
 Coordinate plane
 Number line
 X-axis
 Y-axis
 Abscissa or x values
 Ordinate or y values
 Origin
 Quadrants (QI, QII, QIII, QIV)
 Ordered pair or coordinate (x,y)
V. Learning Experiences
1. Engage (5 minutes)
A. Opening Activities
1. Prayer
2. Greeting the teachers/ visitors
3. Attendance
4. Practice or Drill
Activity 1: RAMBLED LETTERS
Direction: Arrange the following rambled letters to get the exact
word/s.
1. IGORIN  Origin
2. ASQURDANT  Quadrants
3. SCABISAS  Abscissa
4. RERODED AIRP  Ordered Pair
5.LUNGARCERTA DIOTERCON LEPAN  Rectangular Coordinate Plane
6.caltevir bumner niel  vertical number line
7. haritonloz bumner nile  horizontal number line
8. doritena  ordinate

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4. Elaborate (15
minutes)
Activity group!
The class is divided into 3 groups, each group will be given an
assigned activity.
Group 1: MASTERY CHECK!
I. Complete the label on the Cartesian Coordinate Plane Graphic Organizer.
(Use a PowerPoint presentation for this activity. This will be done orally.)
RECTANGULAR COORDINATE PLANE GRAPHIC
ORGANIZER 2.
10.
9.
5. 5.
8.
10.
8. 9.
Illustrative Example:
To locate the point (5,3), starting
at the origin, count 5 points to the
right along the x-axis and count 3
units upward along the y-axis.
3.
1111.2211
10.
4.
9.
55
5.
1.
( 3 , -4 )
7.
8.

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Answers:
1. a-axis 5. Quadrant IV (+,+) 9. Quadrant III (-,-).
2. y-axis 6. Ordinate 10. Quadrant II( -,-)
3. Origin 7. Abscissa
4. Quadrant I (+,+) 8. coordinate / ordered pair
GROUP 2: THE STAR
Plot and label the given points on the Cartesian Plane then connect the dots in
alphabetical order to form a certain figure.
GROUP3: SPOT MY LOCATION!
Activity 3: SPOT MY LOCATION!
(Integrated to Social Studies & Science)
Direction: Based on the illustration below, give your answers for each
question.
This activity will enable you to give the coordinates of the point where a
certain place is located.
1. A (2, 2) 6. F (-2,0)
2. B (0, 0) 7. G (-4,2)
3. C (1, -3) 8. H (-2,2)
4. D (-1, -2) 9. I (1, 4)
5.E (-3, -3) 10. J (0, 2)
Guide Questions:
1. Joey indicated that the
Bayugan City
can be found at coordinates (-1
1
2
,0).
Do you agree with Joey? Why
or why not?
2. Angelo insisted that the
Butuan City
can be found at coordinates
(−1, −1).
Do you agree with Angelo?
3. Karen insisted that the Siargao
Islands
can be found at Quadrant I.
Is Karen correct?
4. What is the importance of
knowing the
exact location of a certain
place?
5. How can the Rectangular
Coordinate System be used in
a real-life situation?
Possible Answers:
1. No, because Bayugan City is located at (0, -1
1
2
)
2. Yes
3. Yes
4. Location is very important, this is because it
enables us to know the precise place of an
archeological site, human settlement, town,
village or city. An absolute location is a depiction
of the exact site on an objective coordinate
system i.e grid which mostly is the longitude and
latitude on the map.
5. The first application of the rectangular coordinate
system is through measuring things. We can
measure plots of lands, houses, etc. It provides
accurate insights on the measurement of our
geography. Most importantly, it is helpful in
predicting hazards (e.g. typhoon & landslide) and
issuing warning to us.

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5. Evaluate (13 minutes) ASSESSMENT
Direction: Read and analyze the given statements/ questions carefully. Encircle
the letter of the correct answer.
1. The point (9, −1) is an example of______.
A. ordinate B. abscissa C.
origin D. ordered pair
2. Point (−7, −5) is located in which quadrant?
A. I B. II C. III
D. IV
3. What do you call the horizontal number line in the Cartesian plane?
A. x-axis B. y-axis C. origin
D. quadrant
4. When plotting the point (−8,1), which describes the movement along the
x-axis and y-axis in the correct order?
A. 8 units right then 1 unit up C. 8
units left then 1 unit up
B. 8 units down then 1 unit left D. 8
units up then 1 unit right
5. In the quadrant l, the values of x, and y are always ____, and _____,
respectively.
A. positive, positive B. positive, negative C.
negative, negative D. negative, positive
6. Which of the following statements best describes the origin?
A. The point contains positive and positive integers. C. The point
contains positive and negative integers.
B. The point contains negative and negative integers. D. The point
contains neither positive nor negative integers.
7. Which of the following is true about point (5, 5)?
A. It lies in x-axis B. It lies in y-axis C. It lies in
Quadrant I D. It lies in Quadrant II
For items 8-10, refer to Figure 2 at the right.
8. At what coordinate is the table located?
A. (0,5) B. (0,-5) C. (5,0)
D. (-5,0)
9. At what quadrant is the ball located?
A. Quadrant I B. Quadrant II C. Quadrant III
D. Quadrant IV
10. Which of the following statement is FALSE?
A. Points that lie in Quadrant I has all positive signs.
B. Points that lie in Quadrant II has all positive signs.
C. Points that lie in Quadrant III has all negative signs.
D. Points that lie in Quadrant IV has positive and negative signs.
Answers:
1. D 6. D
2. C 7. C
3. A 8. B
4. C 9. A
5. A 10. C

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VI. Learning Enablement (2
minutes) Activity 6: OUR HOUSE
(Integrated to Technology & Livelihood Education)
This activity will enable you to give the coordinates of the parts of your own
houses.
Direction: Read and analyzed the following statements carefully and do as
indicated.
1. Describe the location of each part of your house (e.g. areas in
the house, etc.) by plotting them in a Cartesian Plane.
2. Identify which point in the Cartesian Plane each part belongs.
3. Assume that the center of your house is the origin.
4. Draw and write your answer in a separate graphing paper.
Rubrics
Category 15 pts. 10 pts.
Content Showed complete data in two
forms of identifying the sample
space.
Showed complete data in two
forms of identifying the sample
space.
Accuracy Showed correct answer Showed the answer incorrectly
but with less errors.
Teacher’s Reflection (Refer to DepED Order No. 42, s. 2016)
Prepared by:
LILIBETH C. SEARES
Teacher 2
Sulangan Integrated School

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Observed by:
ELISA E. MATULAC
Pricipal I
Sulangan Integrated School