Detailed Lesson Log

1. Republic of the Philippines
Department of Education
National Capital Region
Schools Division Office of Las Piñas City
LAS PIÑAS NATIONAL HIGH SCHOOL-Gatchalian Annex
Aguila St. Corner Loro St. Phase 2 Gatchalian Subd. Manuyo Dos Las Piñas City
(02) 8-801-2802
lpnhsgatchalianannex@gmail.com
Grade Level: 10 – Joyfulness (6:00 AM – 7:00 AM) Learning Area: Mathematics 10
10 – Innovation (9:00 AM – 10:00 AM) Quarter: First
10 – Integrity (10:20 AM – 11:20 AM)
Teacher: Mr. Mark Raymond T. Domingo
Teaching Date: September 5, 2022
I. OBJECTIVES
A. Content Standards The student demonstrates understanding of key concepts
of sequences.
B. Performance Standards The student is able to create, analyze and solve problems
involving sequences and series in disciplines such as arts,
music, science, business, agriculture, etc. through
appropriate and accurate representations.
C. Learning Competencies The learner…
illustrates an arithmetic sequence. (M10AL-Ib-1)
determines arithmetic means and nth term of an
arithmetic sequence. (M10AL-Ib-c-1)
finds the sum of the terms of a given arithmetic sequence.
(M10AL-Ic-2)
II. CONTENT Arithmetic Sequences
III. LEARNINGRESOURCES
A. References
1. Teacher’s Guide (page nos.)
2. Learner’s Materials (page nos.) Mathematics Learner’s Module pp. 9-25
3. Textbook (page nos.) Simon L. Chua, DT, Josephine L. Sy Tan, Arvie D. Ubarro, Ma.
Remedios R. Cayetano, SPC, Renato R. Guerrero
Soaring 21st Century Mathematics 10 pp. 15-18
4. Additional Learning Materials from
Learning Resource (LR) Portal
https://drive.google.com/file/d/1wfh1tGplJkf0vXuQhsKb
fS6-jDccfdxl/view?usp=sharing
B. Other Learning Resources https://www.youtube.com/watch?v=_vp3ev0oRvk&list=PLP
PsDIdbG32AXjKv2cr_bKEM7YcEfR4iE&index=4
IV. PROCEDURES
A. Reviewing yesterday’s lesson / Drill Do a quick survey:
a. Who are Kapuso, kapamilya, or kapatid?
B. Establishing a purpose for the
lesson/ presenting the new lesson
Guide Questions:
1. Have the students write a reflection on looking forward to
“What’s next?” Have a buzz session wherein the students can
share their reflections.
C. Presenting examples/ instances of the
new lesson
Present and discuss Arithmetic Sequences. Use examples
as illustrative examples.
A person is considering two job offers. Company A will
initially pay ₱150, 000 a year with a guaranteed raise of
₱5, 000 each year. Company B offers a starting salary of
₱160, 000 a year but will only guarantee a raise of ₱2,
000 a year.

2. Republic of the Philippines
Department of Education
National Capital Region
Schools Division Office of Las Piñas City
LAS PIÑAS NATIONAL HIGH SCHOOL-Gatchalian Annex
Aguila St. Corner Loro St. Phase 2 Gatchalian Subd. Manuyo Dos Las Piñas City
(02) 8-801-2802
lpnhsgatchalianannex@gmail.com
The sequences below show the yearly salaries (in pesos)
for each company.
Year 1 2 3 4 5 6 7 8 9 10
A 150k 155k 160k 165k 170k 175k 180k 185k 190k 195k
B 160k 162k 164k 166k 168k 170k 172k 174k 176k 178k
D. Discussing new concepts and
practicing new skills # 1 (Leads to
Formative Assessment # 1)
Facilitate discussion on modeling using Arithmetic
Sequences. Showing some examples and doing
seatwork/board work as practice.
E. Finding practical applications of
concepts and skills in daily living
Ask the students to list down day to day real life activities
that they can associate with Arithmetic Sequence and
Series.
F. Making Generalizations and
abstractions about the lesson
 An arithmetic sequence or arithmetic progression
is a sequence in which each term after the first
differs from the preceding term by a constant. The
difference between consecutive terms is called the
common difference of the sequence.
 The nth term (the general term) of an arithmetic
sequence with first term a_1 and common
difference d is a_n= a_1+(n-1)d.
G. Evaluating Learning Expand each sum by writing the first three terms and the
last term. Then, use the formula for the sum of the first n
terms of an arithmetic sequence to find the indicated sum.
1. ∑_(i=1)^17▒〖(5i+3)〗
2. ∑_(i=1)^30▒〖(-3i+5)〗
Solve each problem.
1. Find the sum of the even integers between 21 and 45.
2. Find the sum of the odd integers between 30 and 54.
J. Additional Activities for application
or remediation or enrichment
(Assignment)
A child playing with blocks placed 35 blocks in the first
row, 31 in the second row, 27 in the third row, and so on.
Continuing in this pattern can she end with a row
containing exactly 1 block? If not, how many blocks will the
last row contain? How many rows can she make in this
pattern?
V. REMARKS
VI. REFLECTION
A. No. of learners who earned 80% on
the formative assessment
____ out of _____ learners earned 80% and above
B. No. of learners who require additional
activities for remediation.
____ out of _____ learners require additional activities for
remediation
C. Did the remedial lesson work? No. of
learners who have caught up with the
lesson.
_____ yes _____ no
_____ out of ______learners caught up with the lesson
D. No of Learners who continue to
require remediation.
_____ out of ______ learners need to continue remediation
E. Which of my teaching strategies
worked well? Why did this work?

3. Republic of the Philippines
Department of Education
National Capital Region
Schools Division Office of Las Piñas City
LAS PIÑAS NATIONAL HIGH SCHOOL-Gatchalian Annex
Aguila St. Corner Loro St. Phase 2 Gatchalian Subd. Manuyo Dos Las Piñas City
(02) 8-801-2802
lpnhsgatchalianannex@gmail.com
F. What difficulties did I encounter
which my principal or supervisor can
help me solve it?
___Bullying among pupils ____Pupils’ behavior/attitude
____Use of IMs ___Unavailable technology Equipment
(AVR/LCD)
___ Strategies/Activities in teaching ____Techniques/Style
in teaching
___Approaches in teaching English
____Methods in teaching
G. What innovation or localized
materials did I use/ discover which I wish
to share with other teachers?