School: MABILBILA INTEGRATED SCHOOL                                                                    Grade Level: 11 STEM
GRADES 1 to 12                                  Teacher: FRECY M. LOPEZ                                                                               Learning Area: STATISTICS AND PROBABILITY
        DAILY LESSON LOG                Teaching Dates and Time: February 13-17, 2023 (11:00 – 12:00)                                                               Quarter:    THIRD QUARTER – WEEK 1
                                                                   Day 1                                     Day 2                                    Day 3                                       Day 4
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/                      illustrates a random variable (discrete     distinguishes between a discrete       finds the possible values of a random  illustrates a probability distribution for a
                 Objectives                                     and continuous)                and a continuous random variable                       variable                     discrete random variable and its
         Write the LC code for each                            (M11/12SP-IIIa-1)                        (M11/12SP-IIIa-2)                        (M11/12SP-IIIa-3)                            properties.
                                                                                                                                                                                          (M11/12SP-IIIa-4)
II. CONTENT                                          Random Variables and Probability          Random Variables and Probability         Random Variables and Probability            Random Variables and Probability
                                                             Distributions                             Distributions                            Distributions                               Distributions
III. LEARNING RESOURCES
      A. References
    1. Teacher’s Guide pages
    2. Learner’s Materials pages
    3. Textbook pages
    4. Additional Materials from Learning               Statistics and Probability                 Statistics and Probability              Statistics and Probability                  Statistics and Probability
        Resource (LR) portal                              Quarter 3 – Module 1:                     Quarter 3 – Module 1:                    Quarter 3 – Module 1:                       Quarter 3 – Module 1:
                                                     Random Variables and Probability          Random Variables and Probability         Random Variables and Probability            Random Variables and Probability
                                                               Distributions                              Distributions                           Distributions                               Distributions
     B. Other Learning Resources
IV. PROCEDURES
     A. Reviewing previous lesson or presenting                                               Do a quick review about Random          Do a quick review about discrete and Do a quick review for the possible values
         the new lesson                                                                       Variables.                                 continuous Random Variable.       of random variable
    B. Establishing a purpose for the lesson                Reading of Objectives                     Reading of Objectives                   Reading of Objectives                       Reading of Objectives
    C. Presenting examples/instances of the                                                   Recall the evaluation last meeting
                                                                                                                                     Ask the learners who among them
        new lesson                                                                            and ask the student if what type of
                                                                                                                                     have experienced tossing a coin or        Introduce the histogram. (Define)
                                                                                              random variable does each
                                                                                                                                     rolling a die.
                                                                                              sentence belongs to.
    D. Discussing new concepts and practicing     Discuss the definitions of a Random         Discuss the Discrete and               Discuss the how to find the possible      Differentiate Histogram and Bar graph.
        new skills #1                             Variable according to different references Continuous Random Variable              values of a random variable in tossing   Discuss the Properties of a probability
                                                                                                                                     a coin and rolling a die.                distribution
    E. Discussing new concepts and practicing     Discuss the two types of Random             Discuss the difference between                                                  Construct the probability distribution with
        new skills #2                             Variable                                    Discrete and continuous Random                                                  histogram in Rolling a die for once. Let X
                                                                                              Variable                                                                        be the number shown on top face.
    F. Developing mastery (leads to Formative     Activity: Odd one out.                      Direction: Determine whether it is a   Direction: Write the Possible Value      Construct the probability distribution with
    Assessment 3)                                 Direction Identify which of the following   discrete or continuous random          if Couple plans to have 3 children and   histogram in tossing a coin twice
                                                  does not belong to the group.               variable.                              the Random Variable is G = {Number
                                                                                                                                     of girls}
    G. Finding practical applications of concepts Ask the students to give real life example Ask the students to give examples
        and skills in daily living                of a random variable.                      of real-life scenarios about discrete
                                                                                             and random variable.
    H. Making generalizations and abstractions                                                                                                                                      What is the difference between a
        about the lesson                           What is a Random Variable? What are How can we distinguish a random
                                                                                                                                     What do we consider in determining        histogram and a bar graph? What do we
                                                        the types of random variables?       variable if it is discrete or
                                                                                                                                     the values of the random variable?         consider in constructing the histogram?
                                                                                             continuous?
                                                                                                                                                                                    (random variable and probability)
    I. Evaluating learning                        Determine whether it is measurable or   Write the Discrete and Continuous          Determine the values of the random       Construct the probability distribution of the
                                                  countable.                              Random Variable of each                    variables in each of the following       situation below:
                                                      1. The weight of the professional experiment.                                  distributions.                           Two balls are drawn in succession without
                                                          boxers                                                                     1. Two coins are tossed. Let H be the    replacement from an urn. containing 5
                                                      2. The number of defective                                                     number of tails that occur. Determine    white balls and 6 black balls. Let B be the
                                                                                                                                     the values of the random variable H.     random variable representing the number
                                                          COVID-19 Rapid Antibody Test
                                                                                                                                     2. A meeting of envoys was attended      of black balls. Construct the probability
                                                          Kit                                                                        by 4 Koreans and 2 Filipinos. If three   distribution of the random variable B.
                                                      3. The area of lots in an exclusive                                            envoys were selected at random one
                                                          subdivision                                                                after the other, determine the values
                                                      4. The number of recovered                                                     of the random variable K representing
                                                          patients of COVID-19 per                                                   the number of Koreans.
                                                          province
                                                      5. The number of students with
                                                          Academic Excellence in a
                                                          school per district
    J. Additional activities for application or
         remediation
    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 worked
         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 use/discover which I wish to share
         with other teachers?
Prepared by:                                        Noted:                              Noted:
                        FRECY M. LOPEZ                       JOSEPH ROSARIO T. BURGOS            ERNALYN A. CORTEZ
                     Special Science Teacher I                    Master Teacher II               School Principal IV