genmath - week - 2.docx genmath genmathm

Gen Math

1. SENIOR HIGH SCHOOL
DAILY LESSON LOG
School:Rizal National High School Grade Level:11 – ABM A
Teacher:Mari Antoinette S. Cleofas Learning Area:General Mathematics
Teaching Dates and
Time:August 5-9, 2024 Quarter:1
st
Quarter
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
I. Objectives Evaluates a function. Perform addition,
subtraction,
multiplication, division,
composition of functions,
and solve problems
involving functions.
A.Content
Standards
The learner demonstrates understanding of key concepts of functions.
B.Performance
Standards
The learner is able to accurately construct mathematical models to represent real-life situations using functions.
C.Learning
Competencies)
The learner represents
real-life situations
using functions,
including piecewise
functions.
(M11GM-Ia-1)
Evaluates a function.
(M11GM-Ia-2)
Performs addition,
subtraction,
multiplication, division,
and composition of
functions.
( M11GM-Ia-3)
II. Content
III. (Learning
Resources)
A.References
1. Teacher’s Guide
Pages
2. Learner’s Materials
Pages
General Mathematics
Learner’s Material,
pages 1-9.
Modules in General
Mathematics (DepEd
Module)
Gabuyo, Yonardo A.
et. al., 2019, 21st
General Mathematics
Learner’s Material, pages 16-
19.
General Mathematics
Learner’s Material, pages
20-26.

2. Century Skills
General Mathematics,
The Inteligente
Publishing, Inc., pages
2-18.
3. Textbook Pages
4. Additional
Materials from
Learning Resources
(LR) Portal
N/A N/A N/A N/A N/A
B. Other Learning
Resources
N/A N/A N/A N/A N/A
IV. Procedures
A. Review Recall how to
convert real-life
situations into
functional
notation.
Recall
GEMDAS/PEMDAS.
Recall evaluating
algebraic expression.
Basic knowledge of
algebra is required such as
simplifying expressions,
factoring and the like.
B. Establishing
purpose for the Lesson
Define
piecewise
function.
State that some
situations can
only be
described by
more than one
formula,
depending on
the value of the
independent
variable.
Explain what is the concept
of evaluating a function.
Explain the definitions of
function involving the
four fundamental
operations.
Definition.
Let ?????? and ?????? be functions.
1. Their sum, denoted by
??????+?????? , is the function
denoted by
(f+g)(x)=f(x)+g(x)
2. Their difference,
denoted by ??????−?????? , is the
function denoted by
(f−g)(x)=f(x)−g(x)
3. Their product, denoted
by ??????●?????? , is the function
denoted by

3. f∙g¿(x)=f(x)∙g(x)
4. Their quotient, denoted
by
f
g
, is the function
denoted by
(
f
g)
(x)=
f(x)
g(x)
excluding the values of x
where ??????(??????)=0.
C. Lesson
Development
Explain the example
below.
1. A user is charged
P300 monthly for a
particular mobile plan,
which
includes 100 free text
messages. Messages in
excess of 100 are
charged P1 each.
Represent the monthly
cost for text messaging
using the function t(m),
where m is the number
of messages sent in a
month.
Give examples:
Evaluate the following
functions when x=1.5.
1. f(x)=3x−2
2. g(x)=3x
2
−4
3. h(x)=√x+4
4. r(x)=
2x+1
x−1
5. t(x)=[x]+1
Give examples and
explain to the class the
process of operating
functions.
Given the following
functions:
f(x)=x+3
p(x)=2x−7
v(x)=x
2
+5x+4
g(x)=x
2
+2x−8
h(x)=
x+7
2−x
t(x)=
x+2
x+3
Determine the following
function.
a) (??????+??????)(??????)
b) (?????? ● ??????)(??????)
c) (??????+ )(
ℎ
??????)
d) (??????−??????)(??????)
e) (????????????)(??????)
D. Application 2. A jeepney ride costs
P8.00 for the first 4
Evaluate the following
functions, where f and q are
More exercises to be
given by the teacher. Let

4. kilometers, and each
additional integer
kilometer adds P1.50 to
the fare. Use a piecewise
function to represent the
jeepney fare in terms of
the distance (d) in
kilometers.
as defined in Example 1.
a) ??????(2??????+1) b) ??????(4??????−3)
the students answer it and
explain their work.
E. Evaluation Seatwork. Quiz. Assignment. Seatwork. Boardwork.
F. Additional activities
for application or
remediation
V. Remarks
VI. Reflection
A.No. of learners who earned
80% in the evaluation
B.No. of learners who require
additional activities for
remediation who scored
below 80%
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 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: Checked by: Noted by:

5. MARI ANTOINETTE S. CLEOFAS LOURDES C. DELA MERCED, Ph.D. LEONORA C. HIZON BENILDA S. BALUYAN, Ph.D.
ALS Teacher Academic Head/MTII Asst. School Principal II School Principal IV