DAILY LESSON LOG OF M11-12SP-IIIa-1-2 (Week One-Day 1) School Teacher Teaching Date and Time I. OBJECTIVES A. Content Standards B. Performance Standards C. Learning Competencies/ Objectives Grade Level Learning Area Quarter Grade 11 Mathematics Third Objectives must be met over the week and connected to the curriculum standards. To meet the objectives, necessary procedures must be followed and if needed, additional lessons, exercises and remedial activities may be done for developing content knowledge and competencies. These are assessed using Formative Assessment Strategies. Valuing objectives support the learning of content and competencies and enable children to find significance and joy in learning the lessons. Weekly objectives shall be derived from the curriculum guides. The learner demonstrates understanding of key concepts of random variables and probability distributions. 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). Learning Competency: illustrates a random variable (discrete and continuous). M11/12SP-IIIa-1 distinguishes between a discrete and a continuous random variable. M11/12SP-IIIa-2 Learning Objectives: 1. Define random variable. 2. Distinguish between a discrete and a continuous random variable. 3. Actively participates to the activities/tasks given II. CONTENT III. LEARNING RESOURCES A. References 1. Teacher’s Guide 2. Learner’s Materials 3. Textbook pages 4. Additional Materials from Learning Resource (LR) portal B. Other Learning Resources IV. PROCEDURES A. Review previous lesson or presenting the new lesson B. Establishing a purpose for the lesson C. Presenting examples/ instances of the new Random Variables and Probability Distributions teacher’s guide, learner’s module Pages Pages Statistics an Probability , REX , Pages 2-6 These steps should be done across the week. Spread out the activities appropriately so that pupils/students will learn well. Always be guided by demonstration of learning by the pupils/ students which you can infer from formative assessment activities. Sustain learning systematically by providing pupils/students with multiple ways to learn new things, practice the learning, question their learning processes, and draw conclusions about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step. Review previous lesson by letting the students answer the exercise. 1. What is an experiment? 2. What do you call the set of all possible outcomes on a given experiment? 3. How do you list the possible outcomes of a given experiment? The teacher lets the students realize that the concept of probability is useful and also an important aspect in the concept of decision making in different areas such as business, education, insurance and other real life situations concerning a certain population. The teacher divides the students in two groups. The first group have them toss a fair coin 10 times. The second group let them roll a dice 10 times. Let them lesson D. Discussing new concepts and practicing new skills #1 record their result on the table found on the board. Emphasize the domain and range of a random experiment. From it as the bases, present the classifications of random variables with its examples. 1. How do you feel performing the activity? 2. What are your observations on the activity? 3. Is the coin or die fair? How do you say so? 4. What is the significance of doing it? The teacher discusses with the students the process of arriving at the answer of Activity. Furthermore, he/she facilitates the drawing of answers of the questions from the students in a manner that it is interactive. This can be done by asking other students to react on the answers given by one student. A random variable, usually written X, is a variable whose possible values are numerical outcomes of a random phenomenon. There are two types of random variables, discrete and continuous. Suppose an experiment is conducted to determine the distance that a certain type of car will travel using 10 litters of gasoline over a prescribed test course. If distance is a random variable, then we have an infinite number of distances that cannot be equated to the number of whole numbers. This is an example of a continuous random variable. E. Discussing new concepts and practicing new skills #2 Individual. F. Developing mastery (leads to formative assessment 3) G. Finding practical applications of concepts and skills in daily living H. Making generalizations and abstractions about the lesson I. Evaluating Learning List the sample space Experiment 1. Tossing three coins 2. Rolling a die and tossing a coin simultaneously 3. Drawing a spade from a deck of cards 4. Drawing a card greater than 7 from a deck of cards of the following experiments. Sample Space A random variable, usually written X, is a variable whose possible values are numerical outcomes of a random phenomenon. There are two types of random variables, discrete and continuous. The teacher will let the student answer the given formative test in a 1 half crosswise. See attachment. J. Additional activities or remediation V. REMARKS VI. REFLECTION A. B. No. of learners who earned 80% of the evaluation No. of learners who require additional activities for remediation who scored below Reflect on your teaching and assess yourself as a teacher. Think about your students’ progress. What works? What else needs to be done to help the pupils/students learn? Identify what help your instructional supervisors can provide for you so when you meet them, you can ask them relevant questions. C. D. E. F. G. 80% Did the remedial lesson work? No. of learners who have caught up with the lesson. No. of learners who continue to require remediation Which of my teaching strategies worked well? Why did these work? What difficulties did I encounter which my principal or supervisor can help me solve? What innovation or localized materials did I use/ discover which I wish to share with other teachers Prepared by: Nina Marie Datuin