School: BANTAYAN NHS-BARAS DIUTAY EXT.

Grade Level: 11
DAILY Learning
LESSON Teacher: DARYL SHAREN MAE D. SAUSE Area: STATISTICS & PROBABILITY
LOG Date/Time: FEBRUARY 28, 2023 Quarter: THIRD QUARTER

I. OBJECTIVES

A. Content Standards:
The learner demonstrates understanding of key concepts of random variables
and probability distributions.
B. Performance Standards:
The learner is able to apply an appropriate random variable for a given real-
life problem (such as in decision making and games of chance).
C. Learning
Competencies/Objectives: Interprets the mean and the variance of a discrete random variable.
Write the LC Code for each M11/12SP-IIIb-3
II. CONTENT Random Variables and Probability Distributions
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide Pages
2. Learner’s Materials Pages
3. Textbook Pages
4. Additional Materials from
Learning Resource (LR)
portal
5. Other Learning Resources
IV. PROCEDURES
A. Reviewing Previous Lesson or
Presenting the New Lesson
1. Establishing a Purpose for the •The purpose of this lesson is to help students understand how to interpret the
Lesson mean and the variance of a discrete random variable, and to show them how
these measures can be used to describe the properties of a probability
distribution.
2. Presenting Examples/Instances of •Begin by introducing the concept of a discrete random variable and providing
the Lesson examples of discrete random variables (e.g. the number of heads in 10 coin flips,
the number of cars that pass through a particular intersection in an hour).
•Show student’s how to calculate the mean and variance of a discrete random
variable using the formulas E(X) = ∑xP(x) and Var(X) = ∑(x-E(X))^2P(x),
respectively.
•Provide examples of probability distributions for different random variables, and
use these examples to illustrate the concepts of mean and variance.
•Have students practice calculating the mean and variance of simple probability
distributions, and encourage them to think about what these measures tell us
about the distribution.
3. Discussing New Concepts and •Discuss with the students how the mean of a discrete random variable
Practicing New Skills #1 represents the center of its probability distribution, and how the variance
represents the spread of the distribution.
•Use examples to show how the mean and variance can be used to compare
different distributions.
•Have students practice interpreting the mean and variance of probability
distributions, and explain how these measures can help us understand the
properties of a distribution
4. Developing Mastery •Provide more challenging examples of probability distributions, and ask
(Leads to Formative Assessment students to calculate the mean and variance.
3) •Have students compare and contrast different distributions based on their mean
and variance, and explain the implications of these differences.
•Encourage students to ask questions and work collaboratively to deepen their
understanding of the concepts.
5. Finding Practical Applications of •Show students how the concepts of mean and variance can be applied to real-
Concepts and Skills in Daily
 Living world situations, such as analyzing data on test scores or stock prices.
•Discuss how understanding the properties of probability distributions can be
useful in fields such as statistics, economics, and finance.
6. Making Generalizations and •Have students reflect on what they have learned about the mean and variance
Abstractions about the Lesson of a discrete random variable, and how these measures can be used to describe
the properties of a probability distribution.
•Encourage students to make connections between these concepts and other
mathematical ideas, such as standard deviation and correlation.
7. Evaluating Learning •Assess student understanding through a quiz or other form of assessment, and
provide feedback to help students improve their understanding of the material.
•Provide opportunities for students to ask questions and receive feedback
throughout the lesson.
8. Additional Activities for •Provide additional practice problems or real-world applications for students who
Application or Remediation need extra support.
•Encourage students to explore more advanced topics related to probability
distributions, such as the central limit theorem or hypothesis testing.
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 with the lesson
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 innovations or localized
materials did I use/discover which
I wish to share with other
teachers?

PREPARED BY:

DARYL SHAREN MAE D. SAUSE

CHECKED BY:

LEA S. ANTONIEGO
HEAD TEACHER I