GRADES 1 to 12
DAILY LESSON LOG
School: Mary Belle Montessori School-Mayapa Inc.
Teacher: Mr. John Kenneth P. Silloriquez
Teaching Dates
and Time:
DAY 1
DAY 2
DAY 3
Grade Level: 10
Learning
Area: Math
Quarter: first
DAY 4
DAY 5
I. OBJECTIVES
A. Content Standards
The learner demonstrates understanding of key concepts of sequences, polynomials and polynomial equations.
B. Performance Standards
The learner is able to formulate and solve problems involving sequences, polynomials and polynomial equations in
different disciplines through appropriate and accurate representations.
C. Learning Competencies/Objectives
The learner illustrates other types of
sequences (harmonic).
(M10AL-If-1)
Write the LC code for each
II. CONTENT
The learner illustrates other types of
sequences (harmonic).
(M10AL-If-1)
The learner illustrates other types of
sequences (e.g., harmonic, Fibonacci).
(M10AL-If-1)
The learner solves
problems involving
sequences.
(M10AL-If-2)
Section 1.4
pages 29-31, 33
Section 1.4
pages 31-32
Section 1.4
page 33
Patterns and Algebra
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide Pages
2. Learner’s Materials Pages
3. Textbook Pages
Section 1.4
pages 28-29, 32
4. Additional Materials from Learning
Resource (LR) Portal
B. Other Learning Resources
https://www.
quora.com/
What-are-some-interesting-applications-of-the-harmonic-series
Section 1.4
pages 32-33
IV. PROCEDURES
A. Reviewing Previous Lesson or
Presenting the New Lesson
Present new lesson:
Harmonic Sequences
Review previous
lesson:
Present new lesson:
Fibonacci Sequences
Ask the students:
When do you say
that a given set of
numbers forms a
harmonic sequence?
Give an example of
harmonic sequence.
How do you find the
nth term of a harmonic sequence?
Review previous
lesson:
End-of-the-Lesson
Test: Harmonic and
Other Sequences
Ask the students:
What is Fibonacci
sequence?
How do you find the
sum of the terms of a
Fibonacci sequence?
How can you findthe
nth term of a recursively-defined sequence?
Discuss homework:
Items from
Matched Problem
1.4.5 (31),
Matched Problem
1.4.6 (32),
Matched Problem
1.4.7 (32)
B. Establishing a Purpose for the
Lesson
There are several
types of sequences.
In this session, one
type of sequence
will be discussed –
harmonic sequence.
Number/s can be
inserted between two
numbers in order to
form a harmonic sequence. In this session, we will discuss
these terms called
This session will also harmonic mean/s.
tackle finding out the
term/s of a harmonic
sequence.
There are several
sequences. In this
session, one type of
sequence – Fibonacci will be discussed.
This session will also
include finding the
nth terms and sum of
Fibonacci sequence.
C. Presenting Examples/Influences of
the Lesson
Introduce and
Introduce and
explain harmonic
explain arithmetic
sequence or progres- mean/s.
sion
Refer to Our World of
Refer to Our World of Math 10 page 29
Math 10 page 28
Introduce and
explain Fibonacci
sequence
This session is
intended to solve
problem involving
sequences.
Not applicable
Post the problems
from:
Exercises 1.4
(page 33)
Refer to Our World of B #’s 13, 15, 17
Math 10 page 31
Not applicable
D. Discussing New Concepts and
Practicing New Skills #1
Identifying if the
given numbers are
terms of a harmonic
sequence:
Discuss Example
1.4.1 a-c (page 28)
Finding the harmonic
mean/s between two
given numbers:
Discuss
Example 1.4.3
(page 30),
Example 1.4.4
(page 30-31)
Finding the sum of
the terms of a Fibonacci sequence:
Discuss
Example 1.4.5
(page 31),
Example 1.4.6
(page 31)
Discuss
Exercises 1.4
(page 33)
B #’s 13, 15, 17
Not applicable
E. Discussing New Concepts and
Practicing New Skills #2
Finding the nth term
of a harmonic sequence:
Discuss Example
1.4.2 (page 29)
No new concept
Finding the nth term
of a recursively-defined sequence:
Discuss Example
1.4.7 (page 32)
No new concept
Not applicable
F. Developing Mastery
(Leads to Formative Assessment 3)
Board work/ Seatwork:
Use items from
Matched Problem
1.4.1 a-c (page 29),
Matched Problem
1.4.2 (page 29)
Board work/ Seatwork:
Use items from
Matched Problem
1.4.3 (page 30),
Matched Problem
1.4.4 (page 31)
Homework:
Use items from
Matched Problem
1.4.5 (page 31),
Matched Problem
1.4.6 (page 32),
Matched Problem
1.4.7 (page 32)
Board work/ Seatwork:
Use items from
Exercises 1.4
(page 33)
B #’s 14, 16, 19
Not applicable
G. Finding Practical Applications of
Concepts and Skills in Daily Living
* To be discussed
next session
Cite some real-life
situation involving
harmonic sequence
from:
https://www.
quora.com/
What-are-some-interesting-applications-of-the-harmonic-series
* To be discussed
next session
Ask the students:
Not applicable
What attitude were
you able to develop
from these lessons
about sequences?
How can you use that
attitude in daily living?
(example: being keen
observant, being
detail-oriented)
H. Making Generalizations and
Abstractions about the Lesson
Ask the students:
When do you say
that a given set of
numbers forms a
harmonic sequence?
How do you find the
nth term of a harmonic sequence?
Ask the students:
What is harmonic
mean/s?
How can you find the
harmonic mean/s of
a sequence?
Ask the students:
Not applicable
What is Fibonacci
sequence?
How do you find the
sum of the terms of a
Fibonacci sequence?
How can you findthe nth term of a
recursively-defined
sequence?
Not applicable
I. Evaluating Learning
J. Additional Activities for Application
or Remediation
IV. REMARKS
V. REFLECTION
A. No. of learners who earned 80% in the
evaluation
B. No. of learners who require additional
activities for remediation
C. Did the remedial lessons for 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 work
well? Why did these work?
F. What difficulties did I encounter which
my principal or supervisor can help me
solve?
G. What innovations or localized
materials did I use/discover which I wish
to share with other teachers?
Seatwork:
Use items from
Exercises 1.4
(page 32)
A #’s 1-3
Seatwork:
Use items from
Exercises 1.4
(page 33)
B #’s 5, 7
* To be given next
session
Announce End-ofthe-Lesson Test to be
given next session
End-of-the-Lesson
Test: Harmonic and
Other Sequences
Use items from
Exercises 1.4
(page 32-33)
A #’s 4-5
B #’s 1, 2, 6, 8, 18