This document is a daily lesson log for a Grade 11 general mathematics class taught by Teacher Nimrod B. Cabrera at Sta. Rosa National High School. The week's lessons cover solving problems involving rational functions, one-to-one functions, and inverse functions. Each day's lesson has objectives, content, learning resources, teaching procedures, and reflections. The lessons involve defining concepts, modeling real-world situations, graphing functions, and having students practice through problem-solving activities.

1. DAILY
LESSON
LOG
School STA. ROSA NATIONAL HIGH SCHOOL Grade Level 11
Teacher NIMROD B. CABRERA Learning Area GENERAL MATHEMATICS
Teaching Week Week 6 Quarter FIRST
Time: 8:00-9:00 AM MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
Date: MTWTh October 02, 2023 October 03, 2023 October 04, 2023 October 05, 2023 October 06, 2023
I. OBJECTIVES
A. Content Standards The learner demonstrates understanding of key concepts of 1. Functions; 2. rational functions
B. Performance
Standards
The learner is able to accurately 1. construct mathematical models to represent real-life situations using functions; 2. formulate and solve real-life problems involving rational functions.
C. Learning
Competencies
Objectives
1. Solve problems involving rational
functions.
2. Solve problems involving rational
equations
3. Solve problems involving rational
inequalities.
1. Define one-to-one function.
2. Represents real-life situations using
one-to one functions.
3. Relate the concepts to practical
applications of life.
1. Graphs of inverse functions as a
reflection about the line y = x.
2. Graphical method of determining
the inverse of a function.
3. Algebraic methods of determining
the inverse of a function.
1. Graphs of inverse functions as a
reflection about the line y = x.
2. Graphical method of determining the
inverse of a function.
3. Algebraic methods of determining the
inverse of a function.
II. CONTENT Solving Problems involving rational
inequality functions.
One to One Function Inverse of One to One Function Graphs of Inverse Function
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide
Pages
Teacher’s Guide Pages 44-53. Teacher’s Guide Pages 64-66. Teacher’s Guide Pages 69-74. Teacher’s Guide Pages 69-74.
2. Learner’s Material
Pages
Learner’s Materials Pages 35-43. Not applicable. Not applicable. Not applicable.
3. Textbook Pages Not applicable. Not applicable. Not applicable. Not applicable.
4. Additional
Materials from
Learning Resources
Not applicable. Not applicable. Not applicable. Not applicable.
B. Other Learning
Resources
General Mathematics for Senior High
School by Lynie Dimasuay et.al.
General Mathematics for Senior High
School by Lynie Dimasuay et.al.
General Mathematics for Senior High
School by Lynie Dimasuay et.al.
General Mathematics for Senior High
School by Lynie Dimasuay et.al.
IV. PROCEDURES
A. Reviewing previous
lesson or presenting
the new lesson
Ask questions of the steps in solving
rational functions and equations
tackled in the previous lesson.
The teacher will group the class into pairs
and have them perform the following
activity:
Activity1.
Each pair is tasks to coordinate an
engineering team based in the United
States who uses English units of
measurement with an engineering team
Not applicable. By showing them the figures below, the
teacher lets the students complete the
drawings by sketching the reflection of the
figure across the line y = x. For an accurate
figure, fold the paper across the line y = x
and trace the figure underneath.

2. in the Philippines using SI units. The two
engineering teams are task with
designing and constructing an engine for
a motorcycle that can be used
underwater.
Activity 1
B. Establishing a
purpose for the lesson
Solving problems involving rational
inequality functions
The teacher lets the students realize that
relating one to one function into real life
situations are important skills needed to
understand the concepts of inverse
functions, exponential functions, and
logarithmic functions.
The teacher lets the students
recognize the mathematical skills in
determining the inverse of one to one
function are important skills needed
to understand the concepts of inverse
functions, exponential functions, and
logarithmic functions.
The teacher lets the students see how the
graph looks like if the function is inverse.
C. Presenting
examples/
instances of the new
lesson
Solve the following problems:
A box with a square base is to have a
volume of 8 cubic meters. Let x be the
length of the side of the square base
and h be the height of the box.What
are the possible measurements of a
side of the square base if the height
should be longer than a side of the
square base?
How could we solve each problem?
How could we interpret each problem?
The teacher will present another
example that will lead them to the topic.
Activity2.
Examples of a one to one function:
1. The relation of you to your
girlfriend/boyfriend.
2. You and your toothbrush.
3. You and your underwear.
The teacher will ask the students to give
their own idea. Relating the Activity 1
and activity 2 will somehow understand
the concepts of one to one function.
The teacher lets the students identify
whether the given table of values is
inverse.
The teacher will give another activity that
will relate to activity1.
D. Discussing new
concepts and practicing
new skill #1
The teacher discusses the problem
given in the previous activity.
The teacher will discuss the topic and
gives some examples.
The teacher will discuss the topic
inverse of one to one function and its
property and gives example for
further understanding.
The teacher discusses with students in
graphing inverse functions.
E. Discussing new
concepts and practicing
new skill #2
Not applicable. Not applicable. Not applicable. Not applicable.
F. Developing Mastery Divide the class into groups and ask
them to solve a given problem.
The teacher lets the student find a pair to
answer the following.
(Think pair share)
Working with pairs, the teacher lets
the students answer the activity and
discuss with their pair their answers.
(Think pair share)
Working with pairs, the teacher lets the
students answer the activity and discuss
with their pair their answers.

3. G. Finding practical
applications of
concepts & skills in
daily living
Presentation of the solutions in the
activity in Developing mastery.
Presentation of the solutions in the
activity in Developing mastery.
In relating these skills in daily living,
the teacher will give a scenario and
let them answer the word problem.
In relating these skills in daily living, the
teacher will give a scenario and let them
answer the word problem.
H. Making
generalizations &
abstractions about the
lesson
Call a student and ask what are the
steps in solving problems.
Call a student and ask what are the steps
in solving problems.
The teacher summarizes the
discussion on how to find the inverse
of a one-to-one function.
The teacher summarizes the mathematical
skills in representing an inverse function
and it is a one to one function
I. Evaluating Learning Ask the students to solve 2 problems
related to the topic(5 points each
problem)
Ask the students to solve 2 set of
problems related to the topic(5 points
each set)
Ask the students to solve 2 set of
problems related to the topic(5 points
each set)
Ask the students to solve 2 set of problems
related to the topic(5 points each set)
J. Additional activities
for application or
remediation
Not applicable. Not applicable. Not applicable. Not applicable.
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
lesson work? No. of
learners who caught up
with the lesson
D. No. of learners who
continue to require
remediation

4. 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?
Prepared by:
NIMROD B. CABRERA
Teacher II
Noted:
CESAR IAN DC. SALAC, PhD
Head Teacher VI, OIC-School Head
Checked and Reviewed:
JOB D. LUCERO
Head Teacher III