School
DAILY LESSON
PLAN
Teacher
Teaching Date
Time
Enrolled
Students
Luzon National High School
Cristine Gersary C. Aguanta
August 30, 2023
M = ____ F = _____ Total= _____
Grade
Section
Subject
Semester/Quarter
Actual No. of
Students
I. OBJECTIVES
A. Content Standards
C. Learning
M11GM-Ia-2
The learner evaluates a function.
II. CONTENT/TOPIC
M = ___ F = ___ Total= ____
The learner demonstrates understanding of key concepts of
functions.
The learner is able to accurately construct mathematical models
to represent real-life situations using functions.
Competencies/
Objectives (Write the LC
Code for each)
General Mathematics
Remarks
B. Performance
Standards
Grade 11
Baltazar/ Calderon/
Paterno/ Sulayman
Evaluating Functions
LEARNING RESOURCES
A. References
1. Teacher’s Guide Pages
TG for SHS General Mathematics, pp. 15-36
2. Learner’s Materials
Pages
3. Textbook pages
4. Additional Textbook
from Learning Resource
(LR) Portal
Slide Decks on the Topic
B. Other Learning
Resources
III. PROCEDURES
A. PRELIMINARY
ACTIVITIES
Daily Routines
 Prayer
 Checking of Attendance
 Drills
B. LESSON PROPER



REVIEW
Recall the definition of a function.
MOTIVATION
Ask: What would happen if a sack of rice grains is
poured into the opening of a working milling machine?
If one thinks of functions as a function machine,
evaluating a function is analogous to providing our
machines with a valid input.
ACITIVITY
Let the learners work with a partner. Assign the problem
below. The solution is provided for you. The teacher
will have to mill around to facilitate the group activity.
Call a representative to discuss the solution in the class.
( A classroom reward system could be used to further
encourage and motivate the learners to participate in the
activity, say the first five groups earns extra points.)
Evaluate q( x)  x 2  2 x  2 at q (2 x  3) .
Solution:
Luzon National High School
Prk. 1, Luzon, Governor Generoso, Davao Oriental
Page 1 of 3
Step 1. q( x)  x 2  2 x  2
Given
Step 2. q(2 x  3)  (2 x  3)  2(2 x  3)  2
by Substitution
Step 3. q(2 x  3)  4 x 2  12 x  9  4 x  6  2
Squaring, DPMA
Step 4. q(2 x  3)  4 x 2  8x  5
Combining similar terms
Step 5. Thus, the function value is 4 x 2  8 x  5 .
2

ANALYSIS

ABSTRACTION

APPLICATION
IV. EVALUATION
Ask the learners what method is used in coming up with the
answer. What method is used to find the answer easily?
Ask: How is evaluating a function done?
Evaluating a function can be done replacing the
variable in the function, in this case x, with a value from
the function’s domain and computing for the result. To
denote that we are evaluating f at a for some a in the
domain of f, we write f(a).
Seatwork:
1. Mark started selling snacks in the nearby school. In
one day he spends P200 for rent and P25 for each snack
item he prepares. His expenses in a single day can be
expressed as the function C(x) = 25x + 200, where x is
the number of items and C(x) is his daily expenses in
pesos. How much are his expenses if he prepares 100
snack items? 150 snack items?
Answer:
P2,700 and P3,950, respectively.
2. The function for the height of an object dropped from
100-meter tall platform at time t seconds is
approximated by s(t) = -5(𝑡 2 +
100. 𝑇ℎ𝑖𝑠 𝑓𝑜𝑟𝑚𝑢𝑙𝑎 𝑖𝑠 𝑏𝑎𝑠𝑒𝑑 𝑜𝑛 𝑎𝑛 𝑎𝑝𝑝𝑟𝑜𝑥𝑖𝑚𝑎𝑡𝑒𝑑 𝑣𝑎𝑙𝑢𝑒 𝑓𝑜𝑟 𝑡ℎ𝑒 𝑎𝑐𝑐𝑒𝑙𝑒𝑟𝑎𝑡𝑖𝑜𝑛 𝑔 =
100𝑚
𝑑𝑢𝑒 𝑡𝑜 𝑔𝑟𝑎𝑣𝑖𝑡𝑦. ) What is the height of the object
𝑠2
after 2 seconds? after 4 seconds?
Answer:
80 and 20 meters, respectively.
. Evaluate the following functions at x = 3.
a) f(x) = x – 3
b. g(x) = 𝑥 3 − 3𝑥 + 5
3
c. h(x) = √𝑥 3 + 𝑥 + 3
𝑥 2 +1
d. p(x) = 𝑥−4
2. For what values of x can we not evaluate the function
𝑥+3
f(x) = 𝑥 2 −4.
ADDITIONAL
ACTIVITIES FOR
APPLICATION OR
REMEDIATION
For remediation, assign learners to pick 2 problems that
they did not worked on in the previous activity found in
part I. Peer tutoring is desired for this purpose.
For enrichment, assign Seatwork 5 on p. 11. The same
rubric should be used for grading the learners’ outputs.
V. REMARKS
VI. REFLECTION
A No. of learners who
earn 80% in the
evaluation.
Luzon National High School
Prk. 1, Luzon, Governor Generoso, Davao Oriental
Page 2 of 3
B. No. of learners who
require additional
activities or
remediation.
C. Did the remedial
lessons 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
works?
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?
Comments/Suggestions:
Prepared by:
Checked by:
CRISTINE GERSARY C. AGUANTA
SHS Teacher II
LILIBETH M. BERMOY
MT-I/Cooperating Teacher
Noted by:
AGNES A. ARQUIZA
Principal I
Luzon National High School
Prk. 1, Luzon, Governor Generoso, Davao Oriental
Page 3 of 3