Solve Linear Equations in Two Variables

1. Daily Lesson Log in Mathematics 8
Date: August 22, 2019
Grade & Section: Grade VIII – Pajuyo
I. OBJECTIVES KRA w/
Objectives
A. Learning
Competencies
Solve Linear equations in two variables
(M8AL – Ie-Ih-2)
B. Learning
Objectives
By the end of lesson students should be able to:
1. Identify linear equation in two variables.
2. Solve and graph linear equation in two
linear variables
3. Present solutions with accuracy and
precision in one’s work.
II. CONTENT Linear equations in two variables and its graph
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide pages
2. Learner’s Materials pages Page 256-260
3. Additional Materials from
Learning Resource (LR)portal
None
B. Other Learning Resource Google sites:
https://sciencing.com/graph-linear-
equations-two-variables-2735.html
C. Instructional Materials
Illustrative visual Aids
Graphing papers
Chalk & Board
D. Teaching Strategies
*Deductive Method of Teaching
*Modelling and Experimentation
(Hands-On Activities)
*Reporting
*Games
Selects, develops,
organizes and
uses appropriate
teaching and
learning
resources,
including ICT, to
address learning
goals
Uses a range of
teaching
strategies that
enhance learner
achievement in
literacy and
numeracy skills

2. IV. LEARNING
PROCEDURES
i. Prayer
ii. Greetings
iii. Setting House Rules
iv. Checking of the Cleanliness of the
Class Room
v. Checking of Attendance
A. Reviewing
previous lesson
Before we proceed to our next topic let us first
have a review about our previous lesson.
So, what was our previous lesson all about?
What can you say about plotting points?
How many quadrants are there in the Cartesian
Coordinate Plane?
1.
Designs, selects,
organizes, and
uses diagnostic,
formative and
summative
assessment
strategies
consistent with
curriculum
requirements
B. Establishing a
purpose for the
lesson
Without plotting, state the quadrant on which
each point lies?
1. (3,5)
2. (-1,-2)
3. (-6,3)
4. (-4,-3)
Designs, selects,
organizes, and
uses diagnostic,
formative and
summative
assessment
strategies
consistent with
curriculum
requirements
C. Presenting
examples/
instances of the
new lesson
I have two balls with me. The red ball is for the
girls and the white ball is for the boys.
I will play a song entitled “Shembot”. While music
is playing, you will pass the ball to one in your
right side. When the music stops you stop passing
the ball. The one who holds the ball will be the
one to answer the question. Using the graph and
the given ordered pairs decodes missing words.
1. (-4,4)
2. (1,-8)
Uses
differentiated,
developmentally
appropriate
learning
experiences to
address learners’
gender, needs,
strengths,
interests and
experiences

3. 3. (2,-3)
4. (5,60
5. (-1,-1)
6. (2,2)
7. (-4,-5)
8. (10,-1)
LINEAR EQUATIONIN_ _ _ VARIABLES AND ITS _ _ _ _ _.
Did you enjoy the game?
What was the statement formed?
Exactly! Linear Equation is our topic for the day.
D. Discussing new
concepts and
practicing new
skills
An equation may contain one or more variables. In
our past lesson, we have studied linear equations in
one variable. We learned to find the solutions to each
equations. Let us now consider linear equations in
two variables.
A linear equation in two variables (x&y) has
the standard form
Ax+By=C where A, B, and c are real numbers, and A
and B are not both zero.
Here are some examples of Linear equation in two
variables.
1. 2x + y =2
2. 4x+7y=8
3. X=5-y
Applies
knowledge of
content within
and across
curriculum
teaching areas
E. Developing
Mastery
Give another example of linear equations in two
variables.
Very Good! Those are Examples of linear equations
in two variables.
How to solve and graph linear equation in two
variables?
Example 1
3x-2y=6
Step 1: Find set of ordered pairs.
X -2 0 2
Y
If x=-2, then
3x-2y=6
3(-2)-2y=6
-6-2y=6
-2y=12
Y=-6
(-2,-6)
Can you follow?
Who can solve the ordered pair?
Excellent! And the last ordered pair?
Applies a range
of teaching
strategies to
develop critical
and creative
thinking, as well
as other higher-
order thinking
skills

4. Very Good!
Step 2:
Plot the ordered pair in the Cartesian Plane
Step 3:
Connect the points
Example 2
Y=2x-3
Find the ordered pairs that satisfy the equation.
Who can solve the first ordered pair of x=o?
Very Good! How about if y=0?
Very good! If x=2?
Very Good! Who can graph the equation using the
ordered pairs?
Very good it shows that you understand the lesson.
Uses a range of
teaching
strategies that
enhance learner
achievement in
literacy and
numeracy skills
F. Finding Practical
Applications of
Concepts Construct a table for x and y then graph
1. 2x-y=4
For group 1 use -1 for the value of X
For group 2 x=0
For group 3 x=1
Manages
classroom
structure to
engage
learners,
individually or
in groups, in
meaningful
exploration,
discovery and
hands-on
activities
within a range
of physical
learning
environments
G. Making
generalizations
and Abstractions
about the lesson
What is the standard form of Linear equation in two
variables?
Very good! What is the first step in graphing linear
equation in two variables?
Excellent how about the next step?
Very good! And the last step?
Very good!
Plans, manages
and implements
developmentally
sequenced
teaching and
learning
processes to
meet curriculum
requirements
and varied
teaching context
H. Evaluating
Learning I. Identify which of the following are linear
equations in two variables.
1. 3y-2x-5
2. 3x-8=1
3. 2x+3y=12
4. 18x+13y=19
5. 2y +5=11
Designs,
selects,
organizes, and
uses
diagnostic,
formative and
summative
assessment
strategies

5. II. Construct a table of values for x and y that
satisfy the equation, and draw the graph of
the equation.
1. 2x-y=6
For x, use the following values:
1. -1
2. 0
3. 1
consistent
with
curriculum
requirements
I. Additional
Activities for
Application or
Remediation
Assignment:
Graph each of the following equations. Use graphing
paper.
1. 2x-y=4
2. 2x+y=1v
3. 2y-x=6
4. X-3y=6
5. 2y-3y=4
Applies a range
of teaching
strategies to
develop critical
and creative
thinking, as well
as other higher-
order thinking
skills
V. REFLECTIONS
No. of learners within mastery level
No. of learners needing reinforcement/remediation
Did the remedial works?
No. of learners who have caught up
No. of learners who continue to require remediation
Which of the strategies worked well?
Why did these work?
What difficulties did I encounter which my principal or
supervisor can help me solve?
What innovations or localized materials did I
use/discover which I wish to share with other teachers
Prepared by: Checked by:
ROSELYN L. ONTOLAN
Teacher I
GLORIA M. PARAGUYA
Principal III
Observed by:
GLORIA O. ARGOS
Master Teacher III