Lesson_plan_in_mathematics_8.docx

LESSON PLAN IN MATHEMATICS 8 I.

OBJECTIVES: 1. Define the three measures of central tendency. 2. Compute for the mean, median, and mode of ungrouped data. 3. Apply the concept of the three measures of central tendency in raw data. 4. Cooperate actively in a group activity.

II.

SUBJECT MATTER: A. TOPIC: Measures of Central Tendency of Ungrouped Data B. REFERENCE: e-Math by Orlando A. Oronce and Marilyn O. Mendoza, pp. 513-517 C. MATERIALS: 2 boxes of questions Manila Paper Coins Marker Dartboard with dartpins D. SUBJECT INTEGRATION: Biology E. SKILL/S: Computing F. VALUES: Cooperation, Sportsmanship G. CONCEPT: To compute for the mean, add all the given data and divide it to the number of data given. For the median, if the number of ordered raw data is odd, the median is in the middle position, and if even, the mean of the two middle data of an ordered data is the median. The number that appears most often in a collection is the mode.

III.

PROCEDURES: A. PRE-DEVELOPMENTAL ACTIVITY 1. Review Review the class about the different ways of organizing data. 2. Drill From the data presented by the teacher, determine whether the organization of data belongs to a grouped frequency distribution, raw data, and stem-and-leaf plot. 3. Motivation Ask the students the following questions: a. Have you ever experienced to compute the average of your grades for you wanted to compare it with your other classmates’ grades? How did you compute it? b. Have you ever experienced to check the papers of your classmates in a test, organizing them, and knowing who will divide the results into two equal groups? c. Have you ever experienced to determine your grade that you always encounter in your report card? d. Do you know that in these everyday experiences at school, we always encounter the three measures of central tendency? Why do you say so? B. DEVELOPMENTAL ACTIVITY 1. Presentation a. Model the process of finding the mean, median, and mode of ungrouped data using the stacks of coins. Using the coins, duplicate the 7 stacks given: 7 coins, 11 coins, 6 coins, 11 coins, 8 coins, 10 coins, and 17 coins. Each stack represents a number in a set of data. Arrange the stacks in order of the number of coins in each stack. Start with the stack containing the least number of coins and end with the stack containing the greatest number of coins. Record the number of coins in each stack. Locate the middle stack. How many coins are in the middle stack? The median is the middle number in an ordered data set. What is the median of this data set? Two of the stacks have the same number of coins. How many coins are in each of these stacks? The number that appears most often in a collection of data is called the mode. What is the mode of this set of data? There are seven stacks of coins. Rearrange the coins so that each of the seven stacks contains the same number of coins. Describe how you do this. When the coins are evenly distributed over the seven stacks, the number in each stack is called the mean. The mean is the most common definition of the word average. What is the mean of this data set? Describe how to find the mean using arithmetic.

How are the numbers for the mean, median, and mode of this example alike? How are they differ from each other? 2. a. 1. 2. 3.

EXERCISES Compute for the mean, median, and mode of the following raw data: 80, 81, 79, 74, 82, 81, 81, 79, 85 24, 18, 19, 20, 24, 26, 27, 20, 23, 19 Student Weekly Savings

Abel

Brenda

Carlos

Donna

Edwin

Fred

Gina

Hans

60

50

40

50

70

50

50

80

4. Stems 4 5 6 7 8

Leaves 0 0 0 0 0

0

0

0

0

0

Key: 5 0 means 50 3. Group Activity: Operation: Bull’s-eye! Group the students into two groups. Mechanics: Every group will be given a dartpin. They are going to shoot the dartboard which is 2 meters away from them. Then, they will pick a question inside the numbered box that represents a certain number in the dartboard. Each color in the dartboard represents a certain score, e.g. green-2 points, orange-3 points, and blue-1 point. But, when one of the players of a group got hit the cherry (color black at the center of the dartboard), they will get 4 points and are exempted to answer questions. Below is the population of some municipality in Masbate. The two groups will refer to the table below in answering the questions which they had picked inside the numbered boxes. They are given two minutes only to answer each question. Population Municipality 2010 (Approximated) Baleno 24,000 Balud 35,000 Batuan 17,000 Cataingan 49,000 Claveria 41,000 Dimasalang 25,000 Esperanza 17,000 Mandaon 38,000 Milagros 52,000 Mobo 34,000 Monreal 25,000 Palanas 25,000 Pio V. Corpuz 23,000 San Fernando 21,000 San Jacinto 27,000 San Pascual 44,000 For example, one of the groups gets the question: What is the mode of the population of Masbate? Ans: 25,000. Integration: In Biology, Population is the total number of species living in a community. In Mathematics particularly in Statistics, the number of population is being studied for certain research purpose.

C. POST-DEVELOPMENTAL ACTIVITY 1. Valuing: Questions: 1. Did your groupmates cooperate well during the activity for the sake of winning the game? 2. Did your groupmates never make any dirty tactics during the game? How do you say so? 3. Why is it necessary to maintain sportsmanship in every games we join? 4. Why is it necessary to utilize teamwork in every group activity? 5. If your group did not come up the correct answer to the problem, what measures can you advice to your groupmates next time? 2. Generalization: Questions: 1. Call some students and ask them how to solve the three measures of central tendency of ungrouped data. IV.

EVALUATION: A. Find the mean, median, and mode of the following raw scores: (3 points each) 1. 34, 11, 49, 54, 54, 64, 59, 47 2. 121, 112, 102, 108, 106, 116, 124, 162, 175, 102, 106 3. Stems Leaves 6 1 5 4 3 7 3 2 2 1 8 1 2 9 3 2 4. Stems 0 1 2 3 4

1 4 0 1 1

7 2 5 7 8

Leaves 4 6 7 0 9 5 9 5 4 5 5 3 3

B. Solve each problem. (4 points) 1. The ages of 20 guests at a party are 22, 23, 24, 32, 27, 28, 29, 27, 7, 20, 22, 81, 33, 27, 26, 24, 19, 20, 21, and 33. Find the typical age or the mode and the average. C. Compare mean, median, and mode with each other. (4 points) V.

ASSIGNMENT: Compute for the mean, median, and mode of your grades in your 1st and 2nd Grading Period in any of your report cards and in any class year.

Prepared by: Bernard Bonnie Balangbang IV-BSEd-Mathematics