1. DAILY LESSON LOG
School Grade Level Grade 8
Teacher Learning Area Mathematics
Week/Teaching Dates and Time 6 Quarter Second Quarter
SESSION 1 SESSION 2 SESSION 3 SESSION 4
I.OBJECTIVES
A. Content Standards The learner demonstrates key concepts of linear inequalities in two variables, systems of linear inequalities in two variables
and linear functions.
B. Performance Standards The learner is able to formulate and solve accurately real-life problems involving linear inequalities in two variables, systems
of linear inequalities in two variables, and linear functions.
C. Learning Competencies Graphs a system of linear equations
in two variables.***
M8AL-Ih-2
Solves a system of linear equations
in two variables by (a) graphing; (b)
substitution; (c) elimination.***
M8AL-Ii-j-1
Solves a system of linear equations
in two variables by (a) graphing; (b)
substitution; (c) elimination.***
M8AL-Ii-j-1
Solves problems involving systems of linear
equations in two variables.
M8AL-Ij-2
II. CONTENT PATTERNS & ALGEBRA
III. LEARNING RESOURCES
A. References
1.Teacher’s Guide Pages pp. 286-287 p. 288 pp. 291-293
2.Learner’s Materials Pages pp.268-273, 278-279 pp.274-275 pp.275-277
3.Textbook Pages Intermediate Algebra pp. 12-13 Intermediate Algebra pp. 14-15 Intermediate Algebra pp. 18-20
4.Additional Materials from
Learning Resource(LR) Portal
B. Other Learning Resources
IV. PROCEDURES
A. Reviewing previous lesson or
presenting the new lesson
What are the three kinds of systems
of linear equations in two variables?
How to solve systems of linear
equations in two variables by
graphing?
How to solve systems of linear equations in two
variables by substitution method?
What are your attitudes that you need to
eliminate?
2. B. Establishing a purpose for the
lesson
Do you know how to substitute bad
doings by good doings?
C. Presenting
examples/instances of the new
lesson
Group the students into 5 and let
them perform activity 2 on pp. 270.
Let the students perform activity 3
on pp. 271. This is by-pair activity.
Show to the students a pair of linear equations.
Then, let them think how to eliminate one of the
two variables.
D. Discussing new concepts and
practicing new skills #1
Process the activity. Process the activity using the
questions on pp. 271
E. Discussing new concepts and
practicing new skills #2
Discuss solving system of linear
equations by graphing.
Discuss solving system of linear
equations in two variables by
substitution.
Discuss solving systems of linear equations in
two variables by elimination.
F. Developing mastery(Leads to
Formative Assessment)
GROUP WORK: GROUP WORK: Have a board work activity.
G. Finding practical applications
of concepts and skills in daily
living
How is system of linear equations in
two variables used in solving real life
problems?
How is system of linear equations in
two variables used in solving real life
problems?
How is system of linear equations in two
variables used in solving real life problems?
H. Making Generalizations and
abstractions about the lesson
How to find solutions of system of
linear equations by graphing?
How to find solutions of system of
linear equations using substitution
method?
Another way of solving systems of linear
equations in two variables is by elimination.
This method of solving systems of linear
3. equations depends on the addition property of
equality, which states that when two quantities
are equal, adding the same number to each
quantity results in equal sums. This is used
when the coefficients of one of the unknown
quantities in the equations are equal in absolute
value.
I. Evaluating learning
1.
2.
J. Additional activities for
application or remediation
V.REMARKS
VI.REFLECTION
A. No. of learners who earned
80% in the evaluation
B. No. of learners who require
additional activities for
4. remediation who scored below
80%.
C. Did the remedial lessons
work? No. of learners who have
caught up with the lesson.
D. No. of learners who continue
to require remediation.
E. Which of my teaching
strategies worked well? Why did
these work?
F. What difficulties did I
encounter which my principal or
supervisor can help me solve?
G. What innovation or localized
materials did I use/discover
which I wish to share with other
teachers?
5. DAILY LESSON LOG
School Grade Level Grade 8
Teacher Learning Area Mathematics
Week/Teaching Dates and Time 7 Quarter Second Quarter
SESSION 1 SESSION 2 SESSION 3 SESSION 4
I.OBJECTIVES
A. Content Standards The learner demonstrates key concepts of linear inequalities in two variables, systems of linear inequalities in two variables and
linear functions.
B. Performance Standards The learner is able to formulate and solve accurately real-life problems involving linear inequalities in two variables, systems of
linear inequalities in two variables, and linear functions.
C. Learning Competencies Solve a system of linear
inequalities in two variables.
M8AL-IIb-1
Solve a system of
linear inequalities in
two variables.
M8AL-IIb-1
Solve problems
involving systems of
linear inequalities in
two variables.
M8AL-IIb-2
Solve problems involving
systems of linear inequalities
in two variables. M8AL-IIb-2
II. CONTENT PATTERNS & ALGEBRA
III. LEARNING
RESOURCES
A. References
1.Teacher’s Guide Pages p. 299 p. 303 p. 314
2.Learner’s Materials Pages pp.290-299 pp.290-299 pp.300-303 pp.300-303
3.Textbook Pages Intermediate Algebra pp. 38-41 Intermediate Algebra
pp. 38-41
4.Additional Materials from
Learning Resource(LR)
Portal
B. Other Learning
Resources
IV. PROCEDURES
6. A. Reviewing previous
lesson or presenting the new
lesson
How to solve problems involving
system of linear equations?
How to solve a system of
inequalities in two variables
by graphing?
B. Establishing a purpose for
the lesson
How master you are in graphing
linear inequalities?
Can you solve real life
problems involving system
of linear inequalities?
C. Presenting
examples/instances of the
new lesson
Group the students into 5 and let
them perform Activity 2. A Line or
Half of a Plane LM pp. 292.
Group I- number 1 &6
Group II-number 2 & 7
Group III-number 3 & 8
Group IV-number 4 & 9
Group V- number 5 & 10
Group the students into 5
and let them perform
Activity 7. Solve Then
Decide LM pp. 300-301.
D. Discussing new concepts
and practicing new skills #1
Process the activity. Process the activity.
E. Discussing new concepts
and practicing new skills #2
Discuss solving system of linear
inequalities by graphing.
An ordered pair (x,y) is a solution
to a system of inequalities if it
satisfies all the inequalities in the
system. To solve a system of
inequalities in two variable by
graphing:
1. Draw the graph of each
inequality on the same
coordinate plane. Shade the
appropriate half-planed.
2. The region where shaded
areas overlap is the graphical
solution to the system. If the
graph does not overlap, then the
system has no solution.
Discuss solving number
and age problems involving
system of linear inequalities
in two variables.
Advise them that to solve
problems involving system
of linear inequalities: read
carefully the problem, have
a representation, form an
equations, then, solve for x
and y.
F. Developing
mastery(Leads to Formative
Assessment)
Group work: (5groups)
Activity 5: Am I In That
Region? LM pp. 297-298.
Have a board work activity.
7. Solve the system of
inequalities graphically.
Each group will answer
different system of
inequalities.
G. Finding practical
applications of concepts and
skills in daily living
How is system of linear
inequalities in two
variables used in solving
real life problems?
Let the students think of a real life
problem involving system of linear
inequalities.
H. Making Generalizations
and abstractions about the
lesson
How to graph system of
linear inequalities?
How to solve problems involving
system of linear inequalities?
I. Evaluating learning Find the solution of the
following systems of
inequalities by graphing:
1. x + y ≤ 5
x- y ≥ 1
2. x + y > -1
2x + y ≤ -3
Formulate 1 real life problem
involving system of linear
inequalities.
8. J. Additional activities for
application or remediation
V.REMARKS
VI.REFLECTION
A. No. of learners who
earned 80% in the
evaluation
B. No. of learners who
require additional activities
for remediation who scored
below 80%.
C. Did the remedial lessons
work? No. of learners who
have caught up with the
lesson.
D. No. of learners who
continue to require
remediation.
E. Which of my teaching
strategies worked well?
Why did these work?
F. What difficulties did I
encounter which my
principal or supervisor can
help me solve?
G. What innovation or
localized materials did I
use/discover which I wish to
share with other teachers?
