This document is a daily lesson log for an 8th grade mathematics class. It outlines the objectives, content, learning resources, and procedures for lessons on linear equations in two variables and systems of linear equations in two variables over the course of a week. The lessons focus on demonstrating understanding of key concepts, formulating problems, and finding and graphing equations. Activities include class discussions, examples, practice problems, and assessments. The log also includes reflections on student learning and areas for improvement.

1. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: ASTORGA NATIONAL HIGH SCHOOL GRADE LEVEL: EIGHT (8)
TEACHER: DAISYREE JEANR. MEDINO LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: 3:00-4:00 QUARTER: SECOND QUARTER
A. Content Standards: Demonstrates
understanding of key
concepts of linear
equations in two
variables
Demonstrate
understanding of
the key concepts of
linear equations in
two variables
Demonstrateunderstanding
of the key concepts of linear
equations in two variables
Demonstrate
understanding of the
key concepts of linear
equations in two
variables
Demonstrate
understanding of
the key concepts of
linear equations in
two variables
B. Performance Standards: Is able to formulate real
life problems involving
linear equations in two
variables
Is able to formulate
problems involving
linear equations in
two variables
Is able to formulate problems
involving linear equations in
two variables and solvethese
problems accurately using a
variety of strategies
Is able to formulate
problems involving
linear equations in two
variables
Is able to formulate
problems involving
linear equations in
two variables
C. LearningCompetencies/
Objectives: Write the LC
code for each
At the end of the period, at least
75% of the students will to:
Describes the graph of
linear equation in terms
of its intercepts and
slope
1.finds the equation
of a line
of two given
points.
1. finds the equation of a line
given the slope and a point
1.finds the equation of
a line given the slope
and its intercepts
Solve problems
involving linear
equation in two
variables
II. CONTENT
Content is whatthe lesson is all about.Itpertains to the subjectmatter that the teacher aims to teach. In the CG, the content in a week or two.
Algebra
III. LEARNING RESOURCES Listthe materials to be used in different days.Varied resources of materials sustain children’s interestin the lesson an i n learning.Ensurethat there is a mix of concrete and
manipulativematerialsas well as paper-based materials.Hands-on learningpromotes concept development.
A. References
1. Teacher’s Guide Pages
2. Learner’s Materials Pages 187 - 188 194 - 195 193 - 194 192 - 193 197 - 199
3. Text book Pages
4. Additional Materials from
Learning resources(LR)Portal
Graphing papers, ruler
and pencil
Math Learner’s
Module
Math Learner’s Module Math Learner’s
Module
Math Learner’s
Module
B. OtherLearningResources
I. OBJECTIVES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
Objective over the week and connected to the curriculumstandards.To meet the objectives, necessary procedures must be followed and if needed, additional lessonsexercises
and remedial activities maybedone for developing content knowledge and competencies. These areusingFormatives Assessment Strategies. Valuingobjectives supportthe
learningof content and competencies and enable children to find significanceand joy in learningthe lesson.Weekly objectives shall bederived from the curriculumguide.

2. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME:
3:00-4:00
QUARTER: THIRD QUARTER
A. Reviewing Previous Lesson or
Presenting New Lesson
Graphs linear
equation given any
two points
Write the steps in
graphing linear
equations using
the different
methods
Recall on finding equation
of a line given two points
Performthe activity
that enable to find the
equation of a line using
slope intercept form
Performthe
activity 19 on page
198 that enable to
solveproblems by
following the steps
B. Establishing a Purpose for the
Lesson
Graph linear
equation using
slope and y
intercepts
Finding the
equation of the
line using the two
points
Finding equation of a line
using a slope and a point
Finding equation of a
line using slope
intercept form
Solving Problems
involving linear
equations in two
variables
C. Presenting Examples/Instances
of the Lesson
Give a linear
equation and
identify the slope
and the y intercept
of the equation
Find the equation
of the line that
passes through the
pairs of two points
Give an illustrative example
of finding equation of a line
given a slope and a point
Give an illustrative
example of finding
equation of a line using
slope intercept form
Discuss thegiven
problem with
illustration
D. Discussing New Concepts and
Practicing New Skills#1
Discuss the
methods of
graphing linear
equation using the
slope and y
intercepts
Discuss the
formula of two
point form
Discuss theformula of point
slope form
Discuss theformula of
slope intercept form
Answer the guide
question on page
197
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration
of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multiple
ways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their lifeexperiences
and previous knowledge. Indicatethe time allotment for each step.

3. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER
E. Discussing New Concepts and
Practicing New Skills#2
Given the linear
equation, identify
the slopeand the y
intercept then plot
Illustratethe given
example of finding
equation using two
point form
Illustratethe given example
of point slope form
Determine the slopes
and y intercepts of the
given equation of a
line
Solve more
problems by
showing solutions
and graphs
F. Developing Mastery
(Leads To Formative Assessment 3)
Graph each linear
equation ,given the
slope and y
intercept
recall the formula
of the slope
Performthe activity on
page 194
Give more exercises on
finding equation of a
line using slope
intercept form
Recall on
translating
mathematical
phrases and
sentences to
mathematical
symbol
G. Finding Practical Application of
Concepts and Skills in Daily
Living
Draw a graph of
linear equation and
describeslope and
y intercept
Differentiate the
point slope form
and two point
slope form
Practice skills on problem
solving on finding equation
of a line
Answering worksheets Formulate a word
problem involving
linear equations
then solve
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration
of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multiple
ways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their lifeexperiences
and previous knowledge. Indicatethe time allotment for each step.

4. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER
H. Making Generalization
and Abstractions about the
lesson
I. Evaluating Learning
J. Additional Activities for
Application or Remediation
VI- REMARKS
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning
the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multipleways to learn new things,
practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their lifeexperiences and previous knowledge. Indicatethe
time allotment for each step.

5. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING
VII - REFLECTION
A. No. of learners who
earned 80% in the
evaluation
B. No. of learners who
required additional
activities for remediation
C. Did the remedial lessons
work?
D. No. of learners who
continue to require
remediation
E. Which of my teaching
strategies work well? Why
did this work?
F. What difficulties did I
encounter which my
principal or supervisor can
help me solve?
G. What innovation or
localized materials did I
used/discover which I wish
to share with other
teachers?
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning
the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multipleways to learn new things,
practicetheir learning,question their learningprocesses and drawconclusion about what they learned in relation to their lifeexperiences and previous knowledge. Indicatethe
time allotment for each step.

6. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING
A. Content Standards: Demonstrates
understanding of key
concepts of systems of
linear equations in two
variables
Demonstrate
understanding of the key
concepts of linear
equations in two
variables
B. Performance Standards: Is able to formulate real
life problems involving
systems of linear
equations in two
variables
Is able to formulate
problems involving
systemof linear
equations in two
variables
C. LearningCompetencies/
Objectives: Write the LC
code for each
At the end of the period, at least
75% of the students will to:
Solves a systemof linear
equations by elimination
Solve problems involving
systems of linear
equations in two
variables
II. CONTENT
Content is whatthe lesson is all about.Itpertains to the subjectmatter that the teacher aims to teach. In the CG, the content in a week or two.
Systemof linear
equation in two variables
Systemof linear equation
in two variables
III. LEARNING RESOURCES Listthe materials to be used in different days.Varied resources of materials sustain children’s interestin the lesson an i n learning.Ensurethat there is a mix of concrete and
manipulativematerialsas well as paper-based materials.Hands-on learningpromotes concept development.
A. References
5. Teacher’s Guide Pages
6. Learner’s Materials Pages 280 -281 285 - 286
7. Text book Pages
8. Additional Materials from
Learning resources(LR)Portal
Math Learner’s module Math Learner’s Module
B. OtherLearningResources
I. OBJECTIVES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
Objective over the week and connected to the curriculumstandards.To meet the objectives, necessary procedures must be followed and if needed, additional lessonsexercises
and remedial activities maybedone for developing content knowledge and competencies. These areusingFormatives Assessment Strategies. Valuingobjectives supportthe
learningof content and competencies and enable children to find significanceand joy in learningthe lesson.Weekly objectives shall bederived from the curriculumguide.

7. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING
H. Reviewing Previous Lesson or
Presenting New Lesson
Calculating
unknown values of
mathematical
expression
Recall on solving
systems of linear
equation by any
algebraic method
I. Establishing a Purpose for the
Lesson
Finding the solution
of the systems of
linear equation in
two variables by
elimination
Solving real life
problems involving
systems of linear
equation in two
variables
J. Presenting Examples/Instances
of the Lesson
Determine whether
an ordered pair is a
solution of the
given system
Illustrating
mathematical
concept previously
learned through
illustration made
K. Discussing New Concepts and
Practicing New Skills#1
Explaining how to
obtain the solution
by elimination
Explain how to
check or verify
results obtain
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration
of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multiple
ways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their lifeexperiences
and previous knowledge. Indicatethe time allotment for each step.

8. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL:
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING
L. Discussing New Concepts and
Practicing New Skills#2
Find the solution
the solution set of
the systems by
elimination
Formulation and
solving problems
involving linear
equations in two
variables
M. Developing Mastery
(Leads To Formative Assessment 3)
Describing the
solution set of the
systemof linear
equation in two
variables by
elimination
Citing situations
involving linear
equations in two
variables
N. Finding Practical Application of
Concepts and Skills in Daily
Living
Explaining why
solving systems of
linear equation,
have one solution
or infinite number
of solutions
Describing the
advantages and
disadvantages of
using different
methods of solving
systems of linear
equations
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration
of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multiple
ways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their lifeexperiences
and previous knowledge. Indicatethe time allotment for each step.

9. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING
H. Making Generalization
and Abstractions about the
lesson
I. Evaluating Learning
J. Additional Activities for
Application or Remediation
VI- REMARKS
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning
the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multipleways to learn new things,
practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their l ifeexperiences and previous knowledge. Indicatethe
time allotment for each step.

10. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING
VII - REFLECTION
A. No. of learners who
earned 80% in the
evaluation
B. No. of learners who
required additional
activities for remediation
C. Did the remedial lessons
work?
D. No. of learners who
continue to require
remediation
E. Which of my teaching
strategies work well? Why
did this work?
F. What difficulties did I
encounter which my
principal or supervisor can
help me solve?
G. What innovation or
localized materials did I
used/discover which I wish
to share with other
teachers?
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning
the by the students which you can infer from formative assessmentactivities.Sustain learning systematically by providingthe students with multipleways to learn new things,
practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their l ifeexperiences and previous knowledge. Indicatethe
time allotment for each step.

11. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER
A. Content Standards: Demonstrates
understanding of key
concepts of systems of
linear equations in two
variables
Demonstrate
understanding of the
key concepts of linear
equations in two
variables
Demonstrate understanding of
the key concepts of linear
equations in two variables
Demonstrate
understanding of the
key concepts of linear
equations in two
variables
Demonstrate
understanding of
the key concepts of
linear equations in
two variables
B. Performance Standards: Is able to formulate
real life problems
involving systems of
linear equations in two
variables
Is able to formulate
problems involving
system of linear
equations in two
variables
Is able to formulate problems
involving linear equations in two
variables and solve these
problems accurately using a
variety of strategies
Is able to formulate
problems involving linear
equations in two
variables
Is able to formulate
problems involving
linear equations in
two variables
C. LearningCompetencies/
Objectives: Write the LC
code for each
At the end of the period, at least
75% of the students will to:
Illustrate systems of
linear equations in two
variables
Graphs a system of
linear equation in two
variables
Categorizes when a given system
of linear equation in two variables
has graphs that are parallel,
intersecting and coinciding
Solves a system of linear
equations in two
variables
Solves a system of
linear equations in
two variables by
substitution
II. CONTENT
Content is whatthe lesson is all about.Itpertains to the subjectmatter that the teacher aims to teach. In the CG, the content in a week or two.
System of linear
equation in two
variables
System of linear
equation in two
variables
Systems of linear equation in two
variables
Solving systems of linear
equation in two
variables
Systems of linear
equations solved by
substitution
III. LEARNING RESOURCES Listthe materials to be used in different days.Varied resources of materials sustain children’s interestin the lesson an in learning.Ensurethat there is a mix of concrete and
manipulativematerialsas well as paper-based materials.Hands-on learningpromotes concept development.
A. References
9. Teacher’s Guide Pages
10. Learner’s Materials Pages 253 - 255 256- 257 257 - 259 268 - 271 272- 274
11. Text book Pages
12. Additional Materials from
Learning resources(LR)Portal
Graphing papers,
ruler and pencil
Math Learner’s
Module
Math Learner’s Module Math Learner’s
Module
Math Learner’s
Module
B. OtherLearningResources
I. OBJECTIVES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
Objective over the week and connected to the curriculumstandards.To meet the objectives, necessary procedures must be followed and if needed, additional lessons exercises
and remedial activities maybedone for developing content knowledge and competencies. These areusingFormatives Assessment Strategies. Valuingobjectives supportthe
learningof content and competencies and enable children to find significanceand joy in learningthe lesson.Weekly objectives shall bederived from the curriculumguide.

12. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING
O. Reviewing Previous Lesson or
Presenting New Lesson
Draw the graph of
the linear equation
in a Cartesian plane
Graph each pair of
linear equation
Illustratethe different
systems of linear equation
Performthe activity 1
on page 268 and
answer the guide
questions
Performthe
activity 3 on page
271 that enable to
solveproblems by
following the steps
P. Establishing a Purpose for the
Lesson
Describethe graphs
of two linear
equations in the
same coordinate
plane
Describethe graph
of each pair of
linear equation
Categorize the given system
of linear equation
Solving systems of
linear equation by
graphing
Solving Problems
involving linear
equations in two
variables
Q. Presenting Examples/Instances
of the Lesson
Performactivity 2
on page 254
Give more
exercises on
graphing systems
of linear equation
Determine whether each
systemof linear equations
is consistent, dependent or
inconsistent
Recall on graphing
using slope intercept
form
Discuss thegiven
problem with
illustration
R. Discussing New Concepts and
Practicing New Skills#1
Discuss theanswers
of the follow up
questions in the
activity
Determine the
systems when two
lines intersect
Performactivity 3 on page
258
Give an illustrative
example
Follow procedures
in solving system
by substitution
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration
of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multiple
ways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their lifeexperiences
and previous knowledge. Indicatethe time allotment for each step.

13. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER
S. Discussing New Concepts and
Practicing New Skills#2
Read and
understand some
important note on
systems of linear
equation
Determine the
systemwhen two
lines do not
intersect
Graph the system and tell
whether each is consistent,
dependent or inconsistent
Discuss theconcept of
finding solution of
system of linear
equation in the
intersecting point
Solve more
problems by
showing solutions
and graphs
T. Developing Mastery
(Leads To Formative Assessment 3)
Differentiate the
three systems of
linear equations
Differentiate the
slopes of the two
systems when two
lines intersect and
do not intersect
Determine the systemof
linear equation through
slopes and y intercepts
Draw the graphs of
each systemand give
the coordinates of the
point of intersection
Compare the
method of solving
systems by
graphing and
substitution
U. Finding Practical Application of
Concepts and Skills in Daily
Living
Compare the slopes
of the lines defined
by linear equation
Represent
problems systems
of linear equation
that involves
finding values of
two quantities
Do the activity in the
worksheets
Solve real life problems
using graphing method
Formulate a word
problem involving
systemof linear
equations then
solve
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration
of learning the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multiple
ways to learn new things,practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their lifeexperiences
and previous knowledge. Indicatethe time allotment for each step.

14. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND GRADING
H. Making Generalization
and Abstractions about the
lesson
I. Evaluating Learning
J. Additional Activities for
Application or Remediation
VI- REMARKS
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning
the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multipleways to learn new things,
practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their lifeexperi ences and previous knowledge. Indicatethe
time allotment for each step.

15. GRADES 1 TO 12
DAILY LESSON LOG
SCHOOL: GRADE LEVEL: EIGHT (8)
TEACHER: LEARNING AREA: MATHEMATICS 8
TEACHING DATES & TIME: Four TimesPer Week QUARTER: SECOND QUARTER
VII - REFLECTION
A. No. of learners who
earned 80% in the
evaluation
B. No. of learners who
required additional
activities for remediation
C. Did the remedial lessons
work?
D. No. of learners who
continue to require
remediation
E. Which of my teaching
strategies work well? Why
did this work?
F. What difficulties did I
encounter which my
principal or supervisor can
help me solve?
G. What innovation or
localized materials did I
used/discover which I wish
to share with other
teachers?
IV PROCEDURES
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
These steps should be done across the week. Spread out the activities appropriately so thatthe students will learn will learn well.Always beguided by demonstration of learning
the by the students which you can infer from formative assessmentactivities.Sustain learningsystematically by providingthe students with multipleways to learn new things,
practicetheir learning,question their learningprocesses and drawconclusion aboutwhat they learned in relation to their l ifeexperiences and previous knowledge. Indicatethe
time allotment for each step.