DAILY LESSON LOG OF M11GM-Ia-4 (Week One-Day Three)
School
Teacher
Teaching Date and Time
I.
OBJECTIVES
A. Content Standards
B. Performance
Standards
C.
Learning
Competencies/
Objectives
II.
III.
CONTENT
LEARNING
RESOURCES
A. References
1. Teacher’s Guide
2. Learner’s Materials
3. Textbook pages
4. Additional Materials from
Learning Resource (LR)
portal
B. Other Learning Resources
IV.
PROCEDURES
A. Review previous lesson or
presenting the new lesson
B. Establishing a purpose for
the lesson
Grade Level
Learning Area
Quarter
Grade 11
General Mathematics
First
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 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.
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.
Learning Competency: Solves problems involving functions. (M11GM-Ia-4)
Learning Objectives:
1. Identify what are given and what is asked in the problem
2. Solve problems involving functions
3. Demonstrate cooperation in group activity
Functions and Their Graph
teacher’s guide, learner’s module,
Page 20
Next Century Mathematics(General Mathematics); pages 48-51
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. 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.
A. For the review of the previous lesson, a short game “Pass that Tagboard”
will be done.
A group will consist of two columns. Each number in the game will be
answered first by the first 2 students in the column. After each number, the
tagboard will be passed on to the next row, so on and so forth until the last
number.
1) What is the result of (f+ g)(x) when f(x) =3x+4 and g(x) = x – 5?
Answer(f +g)(x) = 4x - 1
2) What is (f-g)(x) when given f(x) = 4x2 + 4x – 6 and g(x) = 3x2 + 2x -3?
Answer(f-g)(x) = x2+2x-3
3) (fg)(x) will be equal to ____ if f(x) = x +2 and g(x) = x
4) (f/g)(x) is equal to ____ when f(x) = 5x and g(x) = x
5) (f o g )(x) is ____ when f(x)= x – 7 and g(x) = 2x + 1
B. Do you remember the real life situation I shared to you last meeting
wherein operation of function can be applied? (Answer would be about the
problem on Mat Hematics)
Let us recall that this was the problem I gave you last meeting... Mat Hematics
has two jobs to attend to in a day. He works for 4 hours as cook in a carenderia
and his pay for such is defined as f(x) = 200x.In the afternoon he also works for
the same number of hours as English tutor to the Koreans and his pay is
described as g(x) = 500x.
… If you would be asked, how much does Mat earn in a day? What do you do
to solve this problem?
The teacher emphasizes that in dealing with real-life problems, it is best to
understand the problem, identify what are given, what is asked and what
operation to use so that the problem can be represented correctly with the
C.
Presenting examples/
instances of the new lesson
D. Discussing new concepts
and practicing new skills
E.
use of functions. The teacher uses the presented problem as an example.
(Contextualization & Localization)Before presenting problems to discuss and
solve, the class will be divided into 6. Each group will be given a problem to
discuss and solve. The group shall assign a reporter and a secretary to write
their answers on a manila paper. Each group will be given 20 minutes to finish
the task. (This varies according to the groups’ speed to finish the task)
For Groups 1 & 4: A proposed train fare would charge Php20.00 for the first 5
kilometers of travel and Php0.75 for each additional kilometre over the
proposed fare.
a. Find the fare function f(x) where x represents the number of kilometres
travelled.
b. Find the proposed fare for a distance of 45 kilometers.
For Groups 2 & 5: Kama-o network charges P500 monthly cable connection fee
plus P125 for each hour of Pay – Per – View(PPV) event regardless of a full hour
or a fraction of an hour.
a. Construct a table of values that will show a mode of payment for
customers who may spend h number of hours in watching PPV events.
b. What is the monthly bill of a customer who watched 10 hours of PPV
events?
c. What is the monthly bill of a customer who watched 6.2 hours of PPV
events?
d. Sketch a graph that will show a mode of payment for customers who may
spend h hours in watching PPV events.
For groups 3 & 6: Suppose the production cost of locally produced smart phone
can be approximated by the model C(p) = 4 ( 3p + 25), where p is the number of
smart phones.
a. Find the fixed cost.
b. Find the cost of 5 smart phones.
c. How many phones that will cost P220.00?
After the group activity, the teacher will ask representatives from the groups to
discuss their answers in class. If it is necessary for the teacher to correct the
answers it will be done through questioning, giving of the correct answers and
other possible ways to present the answer will be done only after the reporter
will finish his time.
Developing mastery
F.
Finding practical
applications of concepts
and skills in daily living
G. Making generalizations and
abstractions about the
lesson
H. Evaluating Learning
I.
Additional activities or
remediation
V.
REMARKS
VI.
A.
B.
C.
D.
E.
F.
Solve.
If I pay Php 1000 for my first day stay in a hotel and pay additional P200 for
every bed that I request per day. How much do I pay in total if I stay for 3 days
and requested 3 beds for the whole stay. (Answer: Php 4800)
REFLECTION
No. of learners who earned 80%
of the evaluation
No. of learners who require
additional
activities
for
remediation who scored below
80%
Did the remedial lesson work? No.
of learners who have caught up
with the lesson.
No. of learners who continue to
require remediation
Which of my teaching strategies
worked well? Why did these work?
What difficulties did I encounter
which my principal or supervisor
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? Identify what help your
instructional supervisors can provide for you so when you meet them, you can ask them relevant
questions.
G.
can help me solve?
What innovation or localized
materials did I use/ discover which
I wish to share with other teachers
Prepared by:
MARIA IVANA M. MAYOL
Math Teacher
Presenting examples of the new lesson