Lesson Plan

Republic of the Philippines
Department of Education
Region XII
SCHOOLS DIVISION OFFICE OF COTABATO
Arakan East District
Malibatuan High School
Kibasalan, Malibatuan, Arakan, Cotabato
Malibatuan High School Grade
School: GRADE 11
Level:
DAILY LESSON LOG Haziel kate S. Itanong Learning
Teacher: STATISTICS AND PROBABILITY
Area:
Teaching Dates March 21, 2024 Quarter/ Third
and Time: (7:20- 9:20 A.M) Semester: Second
I. OBJECTIVES
A. Content Standards Solves The learner demonstrates understanding of key concepts of normal probability distribution.
The learner is able to accurately formulate and solve real-life problems in different disciplines involving normal
B. Performance Standards
distributions.
C. Learning Competencies (Write the LC Computes probabilities and percentiles using the standard normal table.(M11/12SP-IIIc-d-1)
code for each)
a. Find z-scores when probabilities are given; and
b. Locate percentiles under the normal curve
D. Specific Objectives
c. Demonstrate appreciation of understanding on how to solve problems involving locating percentile under the
normal curve.
Topic:
II. CONTENT
Locating Percentiles Under the Normal Curve
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide pages
2. Learner’s Materials pages
3. Textbook pages
4. Additional Materials from Learning
PowerPoint presentation, laptop, instructional material made of paper.
Resource (LR) Portal
A. Other Learning Resources Statistics and Probability Textbook (pp.74-82)
Address: Kibasalan, Malibatuan, Arakan, Cotabato

Telephone Nos.: 09606460667
Email Address: 304471@deped.gov.ph
Official FB Page: Deped Tayo Malibatuan HS
Region XII
IV. PROCEDURES Teacher’s Activity Learner’s Activity
Preliminaries
1. Prayer Please all stand for our Prayer. The students will stand.
(Amen)
2. Energizer Energizer (To be played) The students will perform the energizer.
3. Greetings Good morning, Ma’am. Good morning, classmates.

Good morning, Class! Good morning, everyone.
4. Checking of Attendance For your attendance just raise your hand based on your favorite (The response of the student may vary).
sports.
5. Reminders of House Rules As we about to start our formal discussion today I will present to
you our class rules.
During our class, what are the things we need to remember? Let the students read.
B- e Attentive
E- nergetic
W- ait your turn to answer
A- void roaming around
R- espect each other
E- njoy the class discussion
A. Reviewing Previous lesson or presenting “Coded Word Puzzle”
the new lesson.
Direction: Use the coded letters to identify the coded word
8 17 2 5 1 9 3 4 6 10 14 7 11
P A E M O I U T N R C L S
8 2 10 14 2 6 4 9 7 2
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Percentile
Based on our activity what do you think is our topic for today?
Locating Percentiles Under the Normal Curve
B. Establishing a purpose for the lesson. a. Find z-scores when probabilities are given; and
b. Locate percentiles under the normal curve
c. Demonstrate appreciation of understanding on how to solve
problems involving locating percentile under the normal curve.
C. Presenting examples/ instances of the “Convert me”
new lesson. Direction: Convert a percentage to a decimal.
1. 50% 1. 0.5
2. 45% 2. 0.45
3. 100% 3. 1
4. 18% 4. 0.18
5. 8% 5. 0.08
D. Discussing new concepts and practicing “Discover Me!”
new skills #1.
Percentile-is a measure of relative standing. It is descriptive
measure of the relationship of a measurement to the rest of the
data.
Example: In the test in Algebra you got a score of 82 and you want
to know how fared in comparison with your classmates. If your
teachers tells you that you scored at the 90th percentile, means that
90% of the grades were lower than yours and 10% were higher.

Region XII
Thus, when we are given the area and we wish to find the
corresponding z value, we locate the given area at the body of the
table. If the exact area is not available, we take the nearest value.
Then, we look up the corresponding z value in the Table of Areas
Under the Normal Curve or z-Table.
E. Discussing new concepts and practicing “Let’s Try”

new skills #2.
Example 1: Having obtained a score of 85 in a recently concluded
unit test in Science, John wanted to know how to fared in
comparison with his classmates. His teacher told him that he
scored at the 90th percentile. What is the corresponding z score of
90th percentile?

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Example 2: A score in 96th percentile. Where is the score under
the normal curve?
Example 3: Find the upper 10% of the normal curve?
F. Developing mastery (Leads to formative “You Practice” 95%= 0.9500

Assessment 3) 0.9500=0.5000+0.4500
1. Find the `95th percentile of the normal curve
2. Find the 39th percentile of the normal curve 39%= 0.3900

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0.5.000-0.1100
G. Finding practical applications of concepts The results of a nationwide aptitude test in mathematics are
and skills in daily living. normally distributed with an average of 80 and standard deviation
of 15. What is the percentile rank of a score 84?
H. Making generalizations and abstractions “Wrap Up”

about the lesson. It is a measure of relative standing. It is descriptive
What is Percentile? measure of the relationship of a measurement to
the rest of the data.
How will you convert percentage into decimal form? By dividing it into 100
If the exact area is not available what are we going to do? We take the nearest value. Then, we look up the
corresponding z value in the Table of Areas Under
the Normal Curve or z-Table.

Region XII
I. Evaluating learning. Direction: Solve the following percentiles:
a. P99
b. P47
c. the upper 26 percent
J. Additional activities for enrichment or For Remediation:
remediation.
Direction: Solve the following percentiles:
a. P32
b. P65
c. the lower 18 percent
For Enrichment:
In her class in Accounting, Miss Kay told the students that they
need a grad in the top 10% of the class to get an A in a particular
test. In the standardization of the test, the mean was 70 and the
standard deviation was 12. Assuming that the grades will be
normally distributed, what must be the minimum grade needed to
be obtain an A?

Region XII
V. REMARKS
VI. REFLECTION
A. No. of learners who earned 80% in the
evaluation.
B. No. of learners who require additional
activities for remediation.
C. Did the remedial lessons work? No. of
learners who have caught up 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 innovation or localized materials did I
use/discover which I wish to share with other?
Prepared by: Checked by:

HAZIEL KATE S. ITANONG JENIVEL F. PANIZA. MT-II
Intern Teacher Critic Teacher
Noted by:
VENEZER P. FRIAS
Head Teacher I


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Republic of the Philippines

Address: Kibasalan, Malibatuan, Arakan, Cotabato

3. Greetings Good morning, Ma’am. Good morning, classmates.

Address: Kibasalan, Malibatuan, Arakan, Cotabato

E. Discussing new concepts and practicing “Let’s Try”

Address: Kibasalan, Malibatuan, Arakan, Cotabato

Example 3: Find the upper 10% of the normal curve?

F. Developing mastery (Leads to formative “You Practice” 95%= 0.9500

2. Find the 39th percentile of the normal curve 39%= 0.3900

H. Making generalizations and abstractions “Wrap Up”

Address: Kibasalan, Malibatuan, Arakan, Cotabato

Address: Kibasalan, Malibatuan, Arakan, Cotabato

Prepared by: Checked by:

Address: Kibasalan, Malibatuan, Arakan, Cotabato

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