DAILY LESSON LOG OF M10AL-1b-c-1 (WEEK Two-Day Three)

School Grade Level 10

Teacher Learning Area Mathematics
Teaching Date and Time Quarter First
I. OBJECTIVES
A. Content Standards The learner demonstrates understanding of the key concepts of sequences.

B. Performance Standards The learner is able to formulate and solve problems involving sequences in different
Disciplines through appropriate and accurate representations.
Learning Competency: Determines arithmetic means and nth term of an arithmetic
Sequence. (M10AL-1b-c-1)
Learning Objectives:
C. Learning Competencies/
1. Determines arithmetic means of an arithmetic sequence.
Objectives
2. Solves problems on arithmetic sequence involving arithmetic
Means.
3. Cooperate patiently with the groupmates in doing their assigned tasks.
II. CONTENT Arithmetic Sequence
III. LEARNING RESOURCES Teachers’ Guide, Learners Module
A. References
1. Teacher’s Guide pages 19
2. Learner’s Materials pages 15, 19-20
3. Textbook pages
4. Additional Materials from Grade 10 Mathematics Patterns and Practicalities By: Gladys C. Nivera, et. al.
Learning Resource (LR) portal
B. Other Learning Resources
IV. PROCEDURES
The teacher asks:
Did I give you assignment last meeting?
Who can write the assignment and its answer on the board?
1. Insert 4 arithmetic means between 5 and 25?
2. Find the arithmetic means between 8 and 20.
Answer key:
1. 9,13,17,21
A. Review previous lesson or
2. Let x = be the arith. mean
presenting the new lesson
X = (8+20) / 2 = 28/2 = 14
What is arithmetic means? All terms between any two terms in an arithmetic
sequence are called arithmetic means.
How did you get the 4 arithmetic means between5 and 25? By finding d using the
formula an = a1 + (n-1) d
What about that in number 2, how is it done? It’s just like getting the average of the
two terms.
The teacher says;
B. Establishing a purpose for
Since you already have the knowledge about arithmetic means, we will now have more
the lesson
of them today.
Teacher says:
Be with your group and answer the following.
C. Presenting examples/ 1. Insert 3 arithmetic means between 6 and 54.
instances of the new 2. Insert 2 arithmetic means between ½ and 2.
lesson 3. Find the arithmetic means between -30 and -10
4. Find 2 arithmetic means between x + y and 4x – 2y.

D. Discussing new concepts

and practicing new skills #1 The teacher gives the students 5minutes to discuss and solve, then asks:
1. How did you find numbers 1,2, and 3? Was it easy to find their required
arithmetic means?
2. What makes problem 4 different from the others? How did you find its
arithmetic means?
Answer key:
1. 1,2, and 3 are almost the same; yes
1. 18,30,42
2. 1, 3/2
3. -20
2. This problem involves variable in each term.
a1 = x + y an = a1 +(n-1)d
a4 = 4x - 2y 4x – 2y = x + y + (4-1)d
4x – x -2y -y= 3d
3x – 3y = 3d
3(x-y) = 3d
d = x -y
The teacher will explain and guide the students in arriving to the correct
 answer
The arithmetic means are 2x, and 3x-y.
The teacher says:
Try to solve these problems alone:
1.The arithmetic mean between two terms in an arithmetic sequence is 39. If one of
these terms is 32, find the other term.

After 5 mins. the teacher asks:

E. Discussing new concepts
What is your interpretation to this problem?
and practicing new skills #2
How are you going to find the other term?

Possible answer:
The other term can be found by getting first the common difference like, 39-32 = 7
since 39 is the arithmetic mean bet.2 terms so 39 is next to 32 then 39 + 7 = 46.
The other term then is 46 and the sequence is 32, 39, 46,…
The teacher lets the students analyze and answer the next problem.

What are the first and the last terms of an arithmetic sequence when its arithmetic
F. Developing mastery (leads means are 35, 15, and -5?
to formative assessment 3)
Answer key:
55,35, 15, -5,-20 or a1= 55 and a2= -20

G. Finding practical
applications of concepts
and skills in daily living
H. Making generalizations What are arithmetic means?
and abstractions about the How do we find them?
lesson
Teacher lets the students answer the following problems.
1.Insert 3 arithmetic means between 18 and 30.
2.If 5 terms are inserted between -9 and 9, what is the third term?
I. Evaluating Learning
Answer key:
1. 21, 24, 27
2. 0

J. Additional activities or Assignment:

remediation Find the value of x of the arithmetic mean of 3 and 3x + 5 is 8.
V. REMARKS
VI. REFLECTION
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