Grade
Level & 10 - QUEZON &
School: PAQUIBATO NATIONAL HIGH SCHOOL Section: 10 - DUTERTE
Learning
DAILY Teacher: JUHN ALBERT S. AMPOLOQUIO Area: MATH 10
LESSON LOG Teaching
Dates and September 5, 2023;
Time: 7:30AM –8:30AM/8:30AM-9:30AM Quarter: I
Objectives must be met over the week and connected to the curriculum standards. To
meet the objectives, necessary procedures must be followed and if needed, additional
lessons, exercises and remedial activities may be done for developing content
I. OBJECTIVES knowledge and competencies. These are assessed using Formative Assessment
Strategies. Valuing objectives support the learning of content and competencies and
enable children to find significance and joy in learning the lessons. Weekly objectives
shall be derived from the curriculum guides.
A. Content Standards The learner demonstrates understanding of key concepts of sequences
B. Performance The learner can formulate and solve problems involving sequences in different
Standards disciplines through appropriate and accurate representations.
C. Learning
Competencies Determines arithmetic means and nth term of an Arithmetic Sequence. (M10 AL-1b-
Write the LC code c-1)
for each
By the end of the 60-minute session, the students shall have been able to:
D. Learning Determine nth term of an arithmetic sequence;
Objectives Find the unknown term in an arithmetic sequence; and
Work harmoniously and cooperatively with groupmates.
II. CONTENT Arithmetic Sequence
III. LEARNING Learners’ Module, Teachers’ Guide, Curriculum Guide of Math 10
RESOURCES
A. References
1. Teacher’s
Page 18 - 19
Guide pages
2. Learner’s
Pages: 14- 15, 18-20
Materials pages
3. Textbook
pages
4. Additional
Materials from
Learning
Resource
(LR)portal
B. Other Learning
Resources
These steps should be done across the week. Spread out the activities appropriately
so that pupils/students will learn well. Always be guided by demonstration of learning
by the pupils/ students which you can infer from formative assessment activities.
IV. PROCEDURES Sustain learning systematically by providing pupils/students with multiple ways to
learn new things, practice the learning, question their learning processes, and draw
conclusions about what they learned in relation to their life experiences and previous
knowledge. Indicate the time allotment for each step.
The teacher asks the students to answer the activity below.
Activity 1: What is Next?
A. Reviewing 1. 4, 6, 8, ___
previous lesson 2. -3, -1, 1, ___
or presenting the
new lesson Questions:
1. How did you determine the next term?
2. Suppose you are ask to find the 10th term, how will you solve it?
Possible answers:
1. Adding a common difference to the previous term.
2. By adding each previous term with a common difference until we reach the
tenth term.
The teacher says:
B. Establishing a
purpose for the There is another way of solving the tenth term of the sequence and this what we
lesson are going to discover today.
The teacher asks the students to recall the table of the matchsticks activity.
No. of squares1 2 3 4 5 5 7 8 9 10
No. of matchsticks 4 7 10 13 16 19 22 25 28
31
Let us take the number of matchsticks 4, 7, 10, 13, 16, 19, 22, 25, 28, 31
a1 =4
C. Presenting a2 =7
examples/ a3 = 10
instances of the a4 =13
new lesson Aside from adding 3 to the preceding term to obtain the next term, a4 can be
obtained
by using the nth term of an arithmetic sequence.
The teacher explains the derivation of the nth term of arithmetic sequence.
an = a1 + (n – 1) d
The teacher lets the students use the nth term of an arithmetic sequence with a
partner.
1. If a1 = 4 2. If a1=4
a2 = 7 a2 = 7
n=4 n = 10
D. Discussing new d=3 d=3
concepts and What is a4? a 10 = ?
practicing new
skills #1 Expected answer: Expected answer:
an = a1 + (n-1) d a n = a1 + (n-1) d
a4 = 4 + (4-1) 3 a 10 = 4 + (10 – 1)3
a4 = 4 +(3)3 a 10 = 4 + (9)3
a4 = 13 a 10 = 31
Using the nth term of an arithmetic sequence a n = a1 + (n-1) d, the teacher lets them
solve for nth term of the following problems:
1.Find the 25th term of the arithmetic sequence 3,7,11,15, 19,…
E. Discussing 2. Find the 9th term of the arithmetic with a1= 10 and d=-1/2
new concepts and Guide questions:
practicing new a. How did you find solving for the nth term using this formula?
skills#2 b. Who can now share his/her answer to the class?
Answer key:
1. 99
2. 6
F. Developing The teacher elaborates farther:
mastery The formula an =a1 +(n- 1) d, contains a n, a1, n and d. This does not mean that the
(Leads to Formative unknown would always be an, sometimes its a1, n or d. Take a look at the following
Assessment) problems.
1.How many terms are in an arithmetic sequence whose first term is -3 ,common
difference is 2 and last term is 23?
2.Find the common difference of the arithmetic sequence with a 1= -5, a4 =10 and
a11=45.
3. Find the first term of the arithmetic sequence if the 8th term is 54 and the 9 th term is
60.
The teacher asks the following questions.
1. What is ask in problem 1? problem 2? problem 3?
2. How can we solve each of them?
3. With a partner, now solve each of them.
Possible answer:
1. In problem 1, n is unknown; in problem 2, d; in problem 3,a1
2. By substituting the value of the given terms, then applying the addition/
subtraction properties of equality solve for the unknown term.
3. Problem1: n=14
Problem 2: d = 5
Problem 3: a1= 12
The teacher lets the students solve the problem below:
Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100.
Answer key: needs to find d, d=23
8,31,54,77,100
G. Finding practical The teacher lets the students recall the no littering campaign in school, where the
applications of school sets a fine of Php30 for the 1st littering offense and fine increases by Php5 for
concepts and each subsequent offense. How much will a student pay on his/her 4th littering offense?
skills in daily Answer key: Php45
living
H. Making How do we solve problems involving arithmetic sequence?
generalizations and
abstractions about
the lesson
I. Evaluating learning The teacher says:
Read carefully and solve the following problems:
1.Cruz’s family offers a starting monthly salary of a “yaya” Php2,500 with an
agreement of Php100 increase every month. How much would be” yayas’ salary on
the 6th month?
2.The first term of an arithmetic sequence is 2 while the 18 th term is 87.Find the
common
difference of the sequence.
Answer key:
1. Php3000
2. 5
J. Additional Assignment:
activities for The second term of an arithmetic sequence is 24 and the 5 th term is 3. Find the first
application or term and the common difference.
remediation Answer key:
d=-7; a1=31
V. REMARKS
Reflect on your teaching and assess yourself as a teacher. Think about your students’
progress. What works? What else needs to be done to help the pupils/students learn?
VI. REFLECTION
Identify what help your instructional supervisors can provide for you so when you
meet them, you can ask them relevant questions.
A. No. of learners
who earned 80% of
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 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
Prepared by: Noted by:
JUHN ALBERT S. AMPOLOQUIO NANCY N. RAMOS
Teacher I SHS Master Teacher I
Recommending Approval: Approved by:
EDITHA E. BLANCO REYNALDO F. MANILA
Head Teacher I Principal I
