Detailed Lesson Plan In Mathematics For Grade 10 i1j6m

Detailed Lesson Plan in Mathematics for Grade 8 Learning Objectives At the end of the lesson, 75% of the students should be able to: 1. Define what probability is; 2. Solve problems involving probability; and 3. Develop cooperation through group activity. Subject Matter Topic : Basic Concepts of Probability References : Callanta, M.M. et al..(2015). Mathematics – Learner’s Module. 5th Floor Mabini Building ,DepEd Complex, Meralco Avenue, Pasig City, Philippines: Rex Book Store , Inc. MASHUP MATH | Denver, CO |2016, Mashup Math,LLC|www.mashupmath.com 2019 Merriam-Webster,Inc. Materials : Manila paper, Double sided tape, tape, scissor, cartolina, plastic celluloid, glue, yarn and printed images Value Focus : Cooperation Methodology Teacher’s Activity A. Preparatory Activities a. Prayer Let us ask for the guidance of the Lord. Please lead the prayer (name of student).

Student’s Activity

(The students will pray) b. Greetings Good morning class! Good morning sir! How is your day? We’re fine sir! As your facilitator of learning, it is my goal to give you an amazing learning experience. To achieve it, your cooperation is greatly needed by obeying the following rules: 1. Using of gadgets is strictly prohibited unless I allowed it. In case of emergency, just ask properly. 2. Any form of bullying is strictly prohibited. 3. Avoid being naughty. As you enter this classroom, each one of you has an automatic 5 points that will be credited in your class participation. A violation of any of these rules will result to 1 point deduction in your 5 points credit. In case of answering and asking a question, just raise your hand. Is everything clear? Yes sir! c. Checking of attendance your attendance paper. (Students will their attendance paper) d. Review of the past lesson B. Motivation Are you ready for our new lesson? Yes sir! If you are ready, can you give me a clap. (Students will clap once ) 2 claps (Students will clap twice ) 3 claps

(Students will clap thrice ) It seems that you are ready for our new lesson but before that let’s first play a game. Who is familiar with 4 Pics 1 Word? (Students will raise their hands ) Amazing! It seems that most of you are familiar with the game. Our game will be 4 Pics 1 Word. Let’s first divide the class. (The students will be group ) Please choose a leader and secretary in your group. (The group will choose a leader and secretary) I want each secretary to write their group in a ¼ piece of paper while each leader to go here in the front to get the activity. (The leader and secretary will do each designated task) Content of the envelope

You have 2 minutes to do the activity. If you’re done, I want each leader to paste it at the back of the envelope and to me. (Students will do the activity) Time’s up! The correct answer is CHANCE. Let’s give group _____ a firework applause. (Students will do the firework applause) C. Presentation of the Lesson Based on our activity, what do you think will be our lesson for today? It will be all about chances. Your right! Our lesson for today is about chances which is probability. It is the chance that something will happen. Here are our objectives for this lesson. At the end of the lesson, 75% of the students should be able to. Please read the first one, groups that are on the left side. Define what probability is. And the second, please read groups that are on the right side. Solve problems involving probability. And the last but not the least, please read altogether Develop cooperation through group activity. D. Lesson Proper Before we proceed on how to find the probability

of an event. Let’s first discuss the basic used in probability. The first is experiment. What is experiment? Experiment is an activity that you can do. Very good! What can you do to a die? You can toss and roll it. You’re right! What you have just said is an example of an experiment. The next term is outcome. What is an outcome? It is the result of the experiment. Amazing! For better understanding, let’s make an experiment by tossing a die? (A student will toss a die) What is the outcome? (The student’s answer will depend on the experiment) Perfect! The third term is sample space. What is sample space? Sample space is the set of possible outcomes of an experiment. Excellent! What is the sample space of a die? 1, 2, 3, 4, 5, and 6. Very good! How about the sample space of a coin? Head and tail Marvellous! Second from the last, we have sample point. What is sample point? It is the individual possible outcome. Amazing! What is the sample point of a coin? Head What else? Tail Perfect! How about the sample point of a die? 1 Very good! Last but not the least we have event. What is an event? What is expected to come out when making an experiment. Great! What do you expect to come out when tossing a coin? Getting a tail. Exactly right! What you have just mention is an example of an event. What other event can you think of? Getting 1 when tossing a die. You’ve got it! Now that you know the basic used in probability let’s discuss how to solve for the probability of an event. To solve for the probability of an event we need to use the formula:

For better understanding, let’s consider this problem. Suppose you were asked, please read altogether. What is the probability of getting a head when tossing a coin? Using the formula

Let’s first look for the event of the problem. What is the event of the problem? Getting a head. You’re right! Let’s use H as representation of our event. Next, let’s look for the number of favorable outcomes. Our numbers of favorable outcomes depend upon our event. How many head does the experiment have? 1 That is what we called number of favourable outcomes. How many possible outcomes does it have when we toss a coin? 2 Therefore the probability of getting head when tossing a coin is? 1/2 Do you now know how to find for the probability of an event? Yes sir! If you really understand how to find for the probability of an event let’s have another problem. What is the probability of getting a number 6 when tossing a die? 1/6 Perfect! What a great listener. But how can we find the probability of an event if it involves two things like a coin and a die? Suppose you where ask, please read altogether. What is the probability of getting a head & number 6 when tossing a coin and die simultaneously? To solve this problem we need to make a table with respect to the sample space of each item. What is the sample space of coin? Head and tail How about the sample space of die? 1,2,3,4,5,and 6. We will then match them. Example is H1. Who can give another match? H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. How many possible outcomes does it have? 12 Out of these possible outcomes, how many is H6? 1 Therefore the probability of getting a head & number 6 when tossing a coin and die simultaneously is? 1/12 Is there any question? No sir! E. Application If there’s none, I want each leader to proceed here in front to get your next activity. (Leader will go in the front to get the activity) Content of the envelope

I will give you 5 minutes to do the task. If you’re done, then post it on the board. (Students will do the task) Answer of the Activity

F. Generalization As a recap, what is experiment? Experiment is an activity that you can do like tossing a coin. How about outcomes? It is the result of experiment. Who can give me an event? Getting a tail when tossing a coin. What do we call the possible outcomes? Sample space How about the individual outcome? Sample point How can we find the probability of an event?

Is there any question? No sir. Evaluation Direction: I. II. 1.

Copy and answer the following on a 1/2 piece of paper. Define probability in your own understanding. 5 points. Problem Solving Earl Darenz is asked to choose a day from a week. What is the probability of choosing a day which starts with S? Answer: 2/7 2. Choosing a month from a year, what is the probability of selecting a month with 31 days? Answer: 7/12 3. If a letter is chosen at random from the word PERSEVERANCE, what is the probability that the letter chosen is E? Answer: 4/12 or 1/3 4. If one letter is chosen at random from the word TRUSTWORTHY, what is the probability that the letter chosen is a consonant? Answer: 9/11 5. The sides of a cube are numbered 11 to 16. If Jan Renz rolled the cube once, what is the probability of rolling a composite number? Answer: 4/6 or 2/3

Assignment Direction: Copy and answer the following on a 1/2 piece of paper. 1. A box contains 7 red balls, 5 orange balls, 4 yellow balls, 6 green balls, and 3 blue balls. What is the probability of drawing out an orange ball? Answer: 5/25 or 1/5 2. Of the 45 students in a class, 25 are boys. If a student is selected at random for a field trip, what is the probability of selecting a girl? Answer: 20/45 or 4/9 3. Two fair coins are tossed at once. What is the probability of showing a tail (T) and head (H)? Answer: 2/4 or 1/2 4. A spinner is divided equally and numbered as follows: 1, 1, 2, 3, 4, 1, 1, 2, 4, 1, 2, 3, 4, 1. What is the probability that the pointer will stop at an even number? Answer: 7/14 or 1/2 5. What is the probability of getting an 8 from a deck of 52 cards? Answer: 4/52 or 1/13

Prepared by: Jomar I. Gregorio