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1. GRADE 7
DAILY
LESSON LOG
School Grade Level 7
Teacher Learning Area MATHEMATICS
Teaching Dates and Time Quarter FOURTH
Session 1 Session 2 Session 3 Session 4
I. OBJECTIVES
1. Content Standards The learner demonstrates understanding of key concepts, uses and importance of Statistics, data
collection/gathering and the different forms of data representation, measures of central tendency, measures of
variability, and probability.
2. Performance Standards The learner is able to collect and organize data systematically and compute accurately measures of central
tendency and variability and apply these appropriately in data analysis and interpretation in different fields.
3. Learning
Competencies/
Objectives
The learner draws
conclusions from graphic
and tabular data of
measures of central
tendency and variability
(M7SP-IVj-2)
a. Draw conclusions
from graphic data.
b. Draws conclusion
from measures of central
tendency and variability.
c. Value accumulated
knowledge as means of
new understanding.
The learner draws
conclusions from graphic
and tabular data of
measures of central
tendency and variability
(M7SP-IVj-2)
a. Draw conclusions from
tabular data.
b. Draws conclusion from
measures of central
tendency and
variability.
c. Value accumulated
knowledge as means
of new understanding.
The learner draws
conclusions from graphic
and tabular data of
measures of central
tendency and variability
(M7SP-IVj-2)
a. Draw conclusions from
tabular data.
b. Draws conclusion from
measures of central
tendency and variability.
c. Value accumulated
knowledge as means of
new understanding.
II. CONTENT Graphic Data of
Measures of Central
Tendency and Variability
Tabular Data of
Measures of Central
Tendency and Variability
Tabular Data of
Measures of Central
Tendency and Variability

2. III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide
pages
2. Learner’s Materials
pages
3. Textbook pages G-Math Advanced Algebra,
Trigonometry,
Calculus,Statistics by
Norlito Magalona 353-355
Advance Algebra with
Trigonometry and Statistics
by Eunice Ato-Lopez
pp.139-142
Next Century Mathematics
Advance Algebra,
Trigonometry, and
Statistics by Fernando B.
Orines pp.598-602
G-Math Advanced
Algebra, Trigonometry,
Calculus,Statistics by
Norlito Magalona 353-355
G-Math Advanced
Algebra, Trigonometry,
Calculus,Statistics by
Norlito Magalona 353-355
Next Century Mathematics
Advance Algebra,
Trigonometry, and
Statistics by Fernando B.
Orines pp.598-602
4. Additional Materials
from Learning
Resource (LR) portal
B. Other Learning
Resources / Materials
Grade 7 LCTG by DepEd
Cavite Mathematics, 2016
Laptop/ LCD Projector
Grade 7 LCTG by DepEd
Cavite Mathematics, 2016
Laptop/ LCD Projector
Grade 7 LCTG by DepEd
Cavite Mathematics, 2016
Laptop/ LCD Projector
IV. PROCEDURES
A. Reviewing previous
lesson or presenting
the new lesson
Recall the concepts
learned in the previous
lesson.
The table below shows
the performance of three
grade 7 students for the
third quarter. Analyze the
table carefully, then
answer the questions at
Read and comprehend.
The Mathematics
Department of Carmona
National High School is
sending a contestant in a

3. the right.
Student
Learning
Area
Nid
ora
Tid
ora
Tini
dor
a
Filipino 91 80 83
English 92 78 79
Science 89 79 76
Mathema
tics
93 75 78
AP 90 80 80
TLE 94 85 83
EsP 95 86 84
MAPEH 95 89 84
Motive Questions:
1. Which grades are you
most likely to have? Why?
2. Which grades would
you like to have?
Why? How will you
achieve these grades?
3. If you found a likeness
with the grades of one of
the students, would you
like your grades to be
compared to somebody
else’s? or to your past
achievement? Why or why
not?
quiz bee competition. The
teachers decided to select
the contestant from
among the top two
performing students of
Section 1. With very
limited data, they
considered only the
scores of each student in
10 quizzes.
The scores are tabulated
below.
B. Establishing a
purpose for the
lesson
WE CAN DO THAT…
Sixty percent of the
population is taken as
sample. The population is
Fill up the table below using
their performance for the
third quarter.
Based on the table,
answer the following.
a. What is the mean of

4. subdivided as follows:
Region I = 230
Region II = 180
Region III = 220
Region IV= 350
Region V = 110
Present the data
graphically.
Nido
ra
Tidor
a
Tinid
ora
Mean
Media
n
Mode
Rang
e
Stand
ard
Deviat
ion
- What can you conclude
about the statistical data
using the measures of
tendency? Measures of
variability?
- If the given data involves
academic performance,
what is the most
appropriate statistical
measure? Central
tendency or variability?
Why?
the scores of both
students?
b. How many scores are
above and below the
mean of these scores?
c. Check once more the
distribution of scores.
Which of the two has a
more consistent
performance?
d. Which of the two
students do you
think should be sent to
represent the school in
the competition?
e. Try getting the median
of these scores and
compare with their mean.
f. Which do you think is
the best measure to use
to assess their
performance Explain.
C. Presenting examples/
instances of the
lesson
The graph below shows
the percentage of survey
respondents reporting that
they are satisfied with
their current job.
The horizontal axis is the
years of schooling for
ILLUSTRATIVE
EXAMPLE
The most populous cities
and municipalities in
Cavite are:
The range of each of the
set of scores of the three
students is as follows:
a. What have you

5. different respondents.
a. What information
can be obtained from
the graph?
b. What conclusion
can be made? Why?
c. What made you say
that your conclusion
was correct?
d. What necessary
adjustment could
be made to provide
accurate information
based on the graph?
City/Munici
pality
Are
a
in
km²
Population
Tota
l
Densit
y/km²
City Of
Dasmariñas
90.
13
556,
330
6,172.
53
Bacoor
46.
17
441,
197
9,555.
92
Imus
171
.66
253,
158
1,474.
76
General
Trias
81.
46
218,
387
2,680.
91
Silang
209
.43
199,
825
954.1
4
Tanza
95.
59
171,
795
1,797.
21
Gen.
Mariano
Alvarez
42.
13
136,
613
3,242.
65
Cavite City
10.
89
104,
581
9,603.
40
Rosario
38.
16
94,2
28
2,469.
29
Trece
Martires
City
39.
10
90,1
77
2,306.
32
- Which city or
observed about
the range
of the
scoresof the
three students?
b. What does it tell
you?

6. municipality has the
biggest population
according to the number
of inhabitants?
- Which city or
municipality is the
densest?
- What is the mean area
of the most populous
cities and municipalities in
Cavite?
- What is the range for the
total population?
- What is the mean
population?
- Which has the lowest
density?
D. Discussing new
concepts and
practicing new skills
#1
LET’S COLLECT THEN
PRESENT…
Record the type of
cellphone used by
each of your
classmates.
Summarize the data
using graphs.
The following table shows
the attendance of grade
seven – A during the first
week of classes in June.
Study the table, and then
answer the questions that
follow.
The attendance of grade
seven – A for one week.
Consider the following
sets of scores:
Find the range and the
median.

7. Girls
(36)
Boys
(19)
Total
(55)
Mond
ay
36 19 55
Tues
day
32 19 51
Wed
nesd
ay
35 17 52
Thurs
day
33 16 49
Frida
y
30 16 46
a. On what day did the
students have complete
attendance?
b. Compare the
attendance range of the
boys and the girls.
c. What is the mode of the
boy’s attendance in a
week? Girls?
d. Compare the standard
deviation of the boys and
girls. Which gender is
more consistent in their
attendance?
e. What is the mean
attendance of the class in
a week? Boys only? Girls
only? What conclusion
can you give using the
mean attendance data?

8. E. Discussing new
concepts and
practicing new skills
#2
1. What is the
importance of
analyzing data from
graphs, charts?
2. What are things to
consider in drawing
conclusions from
Graphic Data of
Measures of Central
Tendency and
Variability?
3. What is the
importance of
analyzing data from
tables?
4. What are things to
consider in drawing
conclusions from
Tabular Data of
Measures of
Central Tendency
and Variability?
5. What is the
importance of
analyzing data from
tables?
6. What are things to
consider in drawing
conclusions from
Tabular Data of
Measures of
Central Tendency
and Variability?
F. Developing mastery
(Leads to Formative
Assessment 3)
Compute for the mean of
the following data then
present graphically using
bar graph.
1. 83, 84, 85, 86
2. 80, 82, 84, 86
3. 75, 83, 82, 80
4. 89, 89, 89, 89
5. 79, 81, 80, 80
Arnold surveyed a sample
of people at a basketball
game to find out their
favorite drink. The results
are shown in the table.
Answer the questions that
follow.
Two students have the
following grades in six
math tests. Compute the
mean and the range. Tell
something about the two
sets of scores.

9. 1. What information can
we get from the graphs?
2. What conclusion can
you make?
3. What made you say
that your conclusion is
correct?
4. Estimate the mean,
median, and mode What
do these values indicate?
G. Finding practical
applications of
concepts and skills in
daily living
Make a graph presentation
for the following data and
construct a textual
presentation for 2-3
paragraphs.
PHILIPPINE NATIONAL
BUDGET
 Department of
Education – 128.6
 Department of
Public Work and
Highways – 71.2
 Department of
National Defense –
54.3
 Department of
Interior and Local
Government – 51.3
Guests staying at Manila
Hotel were asked to rate
the quality of their
accommodations as being
excellent, above average,
average, below average,
or poor. The ratings
provided by a sample of
20 guests are:
Write a journal on what
you prefer to use in
presenting data.
TABULAR OR
GRAPHICAL? Explain
why. (3-5 sentences)

10.  State Universities
and Colleges – 17.3
 Department of
Transportation and
Communication –
16.9
 Department of
Health – 11.5
 Judiciary – 9.3
 Commission on
Election – 9.17
Below
Average
Average Above
Average
Above
Average
Above
Average
Above
Average
Above
Average
Below
Average
Below
Average
Average Poor Poor
Above
Average
Excellent Above
Average
Average Above
Average
Average
Above
Average
Average
Questions:
1. How many guest/s
rated above
average quality of
accommodation for
Manila Hotel?
2. How many guest/s
rated below
average quality of
accommodation for
Manila Hotel?
3. How many guest/s
rated excellent
quality of
accommodation for
Manila Hotel?
4. How many guest/s
rated poor quality
of accommodation
for Manila Hotel?

11. 5. How many guest/s
rated average
quality of
accommodation for
Manila Hotel?
H. Making
generalizations and
abstractions about
the lesson
By analyzing data from
graphs carefully, you could
derive important
information that lead to
well-justified answers or
conclusions. Hence it is
important for students what
each type of data
presentation emphasizes.
Combine with that the
understanding of the
measures mean, median
and mode and the
information gets richer.
By analyzing data from
tables carefully, you could
derive important
information that lead to
well-justified answers or
conclusions. Hence it is
important for students
what each type of data
presentation emphasizes.
Combine with that the
understanding of the
measures mean, median
and mode and the
information gets richer.
By analyzing data from
tables carefully, you could
derive important
information that lead to
well-justified answers or
conclusions. Hence it is
important for students
what each type of data
presentation emphasizes.
The range is the simplest
measure of variability. It is
the difference between the
largest value and the
smallest value.
R = H – L
where R = Range, H =
Highest value,
L = Lowest value
I. Evaluating learning Bearing in mind the moral
aspect of natural birth
control method, the Cruz
couple practices rhythm or
natural method. Mrs. Cruz
has recorded her body
temperature as follows:
February 9 36.8˚
Refer to the graph. The IQs of 5 members of
2 families’ A and B
are:
FamilyA: 108, 112, 127,
118 and 113
FamilyB: 120, 110, 118,
120 and 110

12. February 10 37.0˚
February 11 37.1˚
February 12 37.5˚
February 13 37.9˚
February 14 38.2˚
February 15 38.0˚
February 16 37.8˚
Construct a line graph for
this data. Then draw a
conclusion.
Construct a tabular
presentation summarizing
the data presented
graphically.
a. Present the data in
tabular form.
b. Find the mean IQ of
the two
families.
c. Find the range of
the IQ of both
families.
d. Which of the two
families has
consistent IQ?
J. Additional activities
for application or
remediation
Follow up
Interview 25 % of your
classmates to what school
they intend to enroll in
college and their course
preference. Present the
data graphically, then
interpret the results.
Follow up
Record the number of
hours you spent surfing
the internet for the last
three days.
a. Show the data in
tabular form.
b. Find the measures of
central tendency and
variation.
c. Interpret each data
Study
The table shows the daily
sales in peso of two sari-
sari stores near a school.
Compute for the Variance

13. and interpret.
V. REMARKS
VI. REFLECTION
1. No. of learners who
earned 80% on the
formative
assessment
2. No. of learners who
require additional
activities for
remediation.
3. Did the remedial
lessons work? No. of
learners who have
caught up with the
lesson.
4. No. of learners who
continue to require
remediation
5. Which of my
teaching strategies
worked well? Why
did these work?
6. What difficulties did I
encounter which my
principal or
supervisor can help
me solve?
7. What innovation or
localized materials
did I use/discover
which I wish to share
with other teachers?