School MAMLAD HIGH SCHOOL Grade Level 10
Detailed Lesson
Teacher MELVIN NASAYAO Subject MATHEMATICS
Plan Time and Date: Quarter 4
I. OBJECTIVES
A. Content Standards
B. Performance Standards
C. Learning Competencies (LC
Codes)
Specific Learning Objectives: 1. Present the learning objectives
2. Define quartiles for grouped data
3. Computing first, second, and third quartiles of grouped data
II. CONTENT Quartiles for grouped data
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide Pages
2. Learner’s Materials Pages
3. Textbook Pages Mathematics 10 page 385 -387
4. Additional Materials from
Learning resource (LR) Portal
B. Other Learning Resources
C. Materials
D. Teaching Strategy Applied
IV. PROCEDURES Teacher’s Activity Student’s Activity
A. Reviewing previous Student lead the prayer
lesson or presenting Opening prayer
the new lesson Roll call /attendance Student are participating
Review: briefly recall
B. Establishing a
purpose for the Explain that today’s lesson will focus
lesson on Quartiles for grouped data Quartile is a statistical value that
divides asset of data into four equal
WHAT IS QUARTILE? parts. Quartiles are used to summarize
data and understanding its spread.
C. Presenting examples/ Introduce the formula for quartiles: Listen and take notes on the
instances of the new computation of quartiles for
lesson - Q1 = L + [(N/4 - F) / f] × h grouped data
- Q2 = Median formula (same - Observe examples of computing
approach) Q1, Q2, and Q3.
- Solve guided examples with the
teacher.
- Q3 = L + [(3N/4 - F) / f] × h
D. Discussing new Example 1: the following data gave Student are listening
concepts and the scores 30 students in a math test.
practicing new skills 24 32 27. 23 33 33. 29 25 23 36
26 31. 20. 27. 33. 27. 23. 28. 29. 35
34 22 37. 28. 23. 35. 31. 43. 31. 26 Rage = 43 -20
a. Construct a frequency distribution =23
table with 6 class intervals. Class width/interval
b. Calculate Q1, Q2, Q3. = 23/6 = 3.83
Class tally frequency
limits
40-43 I 1
( )
kn 36-39 II 2
−cf 32-35 IIIII-II 7
4
L+ i 28-31 IIIII-II 7
f
24-27 IIIII-II 7
20-23 IIIII-I 6
( )
kn
−cf
i
Q 1=L+ i Class f Lower Cf
f
limits boundary
kn 1(30) 30 40-43 1 39.5 30
= = = 7.5
4 4 4 36-39 2 35.5 29
32-35 7 31.5 27
Cf = 6 28-27 7 27.5 20
L = 23.5 24-27 7 23.5 13
F=7 20-23 6 19.5 6
I=4 30
L = Lower class boundary
n = total number of observations
i = class width/ class size
cf = cumulative frequency before the
quartile class
f = frequency of the quartile class
k = nth quartile, where k = 1, 2, 3, or 4
Q1 = 23.5 +
( 7.5−6
7 )
4
= 23.5 + ( 1.57 ) 4
= 23.5 + 0.857
Q1 = 24. 357
( )
E. Discussing new 2. Calculate the second quartile kn
concepts and new −cf
skills 4
L+ i
f
( )
kn
−cf
i
Q 2=+ i
f
kn 2(30) 60
= = = 15
4 4 4
Cf = 13
L = 27.5
F=7
I=4
( )
15
−13
Q2 = 27.5 + 4
4
7
= 27.5 +
2
7()
4
= 27.5 + 1.143
Q2 = 28.643
F. Developing mastery ACTIVITY ACTIVITY
(leads to formative
( )
assessment) kn
1. Calculate the third quartile −cf
4
L+ i
f
( )
kn
−cf
i
Q 3=L+ i
f
kn 3(30) 90
= = = 22.5
i 4 4
Cf = 20
L = 31.5
F=7
I=4
Q3 = 31.5 + ( 22.5−20
7 )4
= 31.5 + ( 2.57 ) 4
= 27.5 + 1.143
Q3 = 31.5 + 1.423
G. Finding practical
application of
concepts and skills
in daily living
( )
H. Making kn
generalization and WHAT IS THE FORMULA OF −cf
abstraction about the 4
QUARTILE GROUP DATA L+ i
lesson f
I. Evaluating learning QUIZ
Class f Lower Cf QUIZ
limits boundary Class f Lower Cf
118- 3 limits boundary
126 118- 3 117.5 3
127- 5 126
135 127- 5 126.5 8
136- 9 135
144 136- 9 135.5 17
145- 12 144
153 145- 12 144.5 29
154- 5 153
162 154- 5 153.5 34
163- 4 162
171 163- 4 162.5 38
172- 2 171
180 172- 2 171.5 40
180
Calculate the Q1, Q2,Q3
( )
kn
−cf
4
L+ i
f
( )
kn
−cf
i
Q 1=L+ i
f
kn 1(40) 40
= = = 10
i 4 4
Cf = 8
L = 135.5
F=9
I=9
Q1 = 135.5 + ( 10−8
9 )
9
= 135.5 + ( 29 ) 9
Q1 = 135.5 + 2
Q1 = 135.5
( )
kn
−cf
4
L+ i
f
( )
kn
−cf
i
Q 1=L+ i
f
kn 1(40) 40
= = = 10
i 4 4
Cf = 8
L = 135.5
F=9
I=9
Q1 = 135.5 + ( 10−8
9 )
9
= 135.5 + ( 29 ) 9
Q1 = 135.5 + 2
Q1 = 135.5
( )
kn
−cf
4
L+ i
f
( )
kn
−cf
i
Q 1=L+ i
f
kn 1(40) 40
= = = 10
i 4 4
Cf = 8
L = 135.5
F=9
I=9
Q1 = 135.5 + ( 10−8
9 )
9
= 135.5 + ( 29 ) 9
Q1 = 135.5 + 2
Q1 = 135.5
J. Additional Activities ASSIGMENT
for application or Please advance reading
remediation about deciles for
grouped data
Additional Remediation or
Activity
VI. REMARKS
VII. REFLECTION
A. No. of learners who earned
80% in the evaluation
B. No. of learners who
required additional activities
for remediation
C. Did the remedial lessons
work?
D. No. of learners who
continue to require
remediation
E. Which of my teaching
strategies work well? Why
did this work?
F. What difficulties did I
encounter which my principal
or supervisor can help me
solve?
G. What innovation or
localized materials did I
used/discover which I wish to
share with other teachers?
