Lesson Plan on Probability of Simple Events PDF

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LESSON PLAN IN MATHEMATICS 8 February 13, 2019 I. Objectives A. Find the probability of simple and compound events; B. Solve problems involving probability of simple and compound events; and C. Cite ways how finding probability is used in real-life situations. II. Subject Matter Topic: Probability o...

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LESSON PLAN IN MATHEMATICS 8 February 13, 2019 I. Objectives A. Find the probability of simple and compound events; B. Solve problems involving probability of simple and compound events; and C. Cite ways how finding probability is used in real-life situations. II. Subject Matter Topic:

Probability of Simple and Compound Events

References:

 Mathematics – Grade 8 Learner’s Module First Edition, 2013  E-Math 10 by Orlando A. Oronce and Marilyn O. Mendoza

Materials:

PowerPoint Presentation, chalkboard, coins, two fair six-sided dice, Android/IOS phones with mobile data connection

Valuing:

possessing patience and perseverance and being prayerful

III. Procedure A. Introductory Activity 1. Settling Down a. Prepare the class by asking learners to arrange their chairs and to pick up any piece of paper scattered on the floor; check room ventilation making sure that is set to body’s normal temperature; and that the classroom is free from any noise or other disturbances. b. Check the attendance of learners. 2. Review a. Have a learner rearrange a set of letters to identify a term related to probability. Then, let him define the term identified and give examples if necessary. Unarranged Letters

Term

1

ILITPYOBARB

PROBABILITY

2

TMENEERXPI

EXPERIMENT

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Definition Probability is the measure of the likelihood of an event to happen. Experiment is anything that is repeatedly do where results may vary even conditions are similar

LESSON PLAN IN MATHEMATICS 8 February 13, 2019 Examples: 3

4

a. tossing a coin

b. rolling a die Sample Space is the set of MALSEP ESCAP SAMPLE SPACE all possible outcomes in an experiment. Examples: a. b. Event is any subset of a NETEV EVENT sample space. Examples: a. getting a head when tossing a coin b. getting an even number when rolling a die

5

SEALMP INPTO Examples:

6

7

8

9

10

a.

ALCDINYARIT Examples:

SAMPLE POINT

Sample Point is an outcome of an experiment.

b. CARDINALITY

a.

Cardinality is the number of outcomes in a sample space or in an event

b.

Sure Event is an event whose outcome must occur. Examples: a. The event of getting a counting number less than 7 when rolling a die b. The event of selecting a month of the year with 28 days Impossible Event is an SIMOPBILSE EVTEN IMPOSSIBLE EVENT event whose outcome must not occur. Examples: a. The event of getting a 7 when rolling a die b. The event of selecting a month of the year with 32 days. Simple Event is an event PSLEIM ETENV SIMPLE EVENT with only one outcome. Examples: a. The event of getting a non-prime and non-composite number when rolling a die b. The event of selecting a month of the year having the letter “F”. Compound Event is an DUPOMCON VETEN COMPOUND EVENT event with more than one outcome. Examples: a. The event of getting at least one head when tossing three coins simultaneously b. The event of getting two numbers with a sum greater than 5 when rolling two dice ERSU VETEN

SURE EVENT

3. Motivation Conduct the activity entitled “Math-huhula.” The following steps are carried out: a. Have three learners choose a number (a positive integer) from 1 to 30.

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LESSON PLAN IN MATHEMATICS 8 February 13, 2019

b. Ask these learners whether their secret number appears in each of the five cards to be shown.

c. The teacher guesses the number. B. Development of the Lesson 1. Presentation a. Pose this question to the class: “If a pregnant woman will give birth to a child, what is the probability that the child is a male?” Ask the learners about the chance or the probability that the event will occur. b. Have the learners identify what events these are:

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LESSON PLAN IN MATHEMATICS 8 February 13, 2019

 Find the probability of getting a non-prime and a non-composite number when rolling a die. (Simple Event)  Find the probability of getting an odd number when rolling a die. (Compound Event) c. From the tasks given where events are identified and finding the probability of these events, the learners will be able to tell the lesson for the day: Probability of Simple and Compound Events. 2. Discussion a. Guide the learners in finding the probability of simple and compound events:

( b. Provide these five problems involving finding the probability of simple and compound events.  In a box, there are 4 green balls, 6 blue balls, and 8 red balls. Find the probability of getting: - a blue ball - a ball that is not red - a ball that is blue or red  In a box, there are 20 balls numbered from 1 to 20. If a ball is drawn from the box, find the probability of getting: - an even number - a prime number - a number divisible by 3  If a letter is to be selected from the word MILLENNIALS, find the probability that the letter is: - a vowel - a consonant  Presently, there are 38 learners in Grade 8-Fleming. 22 of them are boys. If a learner is to be chosen from the class, find the probability that the learner is a: - boy - girl  A family has 3 children. Find the probability of having: - 3 boys - 2 girls and 1 boy

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LESSON PLAN IN MATHEMATICS 8 February 13, 2019 -

the middle child is a boy

3. Application Conduct a group activity using the game-based platform Kahoot!. a. Divide the class into 5 groups. b. Have the learners of each group name their group using the following colors: blue, red, yellow, green, and orange. c. Using Android or IOS phones, have the groups compete for getting the highest score through answering with accuracy and speed the 10 questions posted online. Question 1:

Question 2:

Question 3:

Question 4:

Question 5:

Question 6:

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LESSON PLAN IN MATHEMATICS 8 February 13, 2019

Question 7:

Question 8:

Question 9:

Question 10:

4. Value Integration Ask the following questions: 1. How is probability used in real-life situations? 2. In this life, what do we need to increase the probability of achieving success in every endeavor? C. Generalization Have the learners tell how to find the probability of simple and compound events. (

IV. Evaluation Have the learners answer the following questions on finding the probability of simple and compound events. 1. In rolling a fair die once, what is the probability of getting a number greater than 4? A. B. C. D. 2. In rolling a die, what is the probability of getting a number less than 6? A. B. C. D.

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LESSON PLAN IN MATHEMATICS 8 February 13, 2019 3. There are six ₱100 bills, one ₱500 bill, and three ₱1000 bills in a wallet. If a peso bill is drawn from the wallet at random, what is the probability that a ₱1000 banknote is drawn? B. A. C. D. 4. There are 4 blue pens, 6 red pens, and 2 green pens in a bag. If a pen is drawn at random from the bag, what is the probability that a green pen is drawn? D. A. B. C. 5. A letter is chosen at random from the word FEBRUARY. What is the probability of getting a consonant? A. D. B. C. 6. What is the probability of drawing a red heart in a deck of 52 cards? C. D. A. B. 7. If three coins are flipped at the same time, what is the probability of getting no tail? A. B. C. D. 8. A family has three children. What is the probability of getting a last child which is a boy? D. A. B. C. 9. In a group of 30 students, 12 of them love Probability and 28 of them love Statistics. What is the probability of choosing a student who loves both Probability and Statistics? C. A. B. D. 10. In a box, there are 24 balls numbered 1 through 24. If a ball is drawn from the box, what is the probability that the ball shows a number divisible by 5? C. D. A. B.

V. Assignment Have the learners answer these problems involving compound events. 1. On a library shelf, there are three Geometry and five Algebra books. Books are replaced after someone borrow it. If two books are taken, what is the probability that the first book is Geometry and the second book is Algebra? 2. Two sets of cards with a letter on each card as follows are placed into separate bags. Bag 1

J

O

E

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Y

LESSON PLAN IN MATHEMATICS 8 February 13, 2019 Bag 2

V

A

L

D

R

I

Z

Alexander randomly picked one card from each bag. What is the probability that he picked a vowel from Bag 1 and a consonant from Bag 2?

Prepared by: JOEY F. VALDRIZ Teacher III Observed by: BRENDA A. SABADO Principal IV

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