A DETAILED LESSON PLAN IN MATHEMATICS 8
Content Standards: The learner demonstrates understanding of key concepts of Probability.
Performance Standards: The learner is able to formulate and solve practical problems
involving Probability of Simple Events.
OBJECTIVES
At the end of the lesson, the students should be able to:
1. Define the probability of simple events
2. Find the probability of simple events
3. Recognize the importance of probability of simple events and apply it in real-life
situations
I.
Subject Matter
Topic:
Sub-topic:
References:
Online Resources:
Materials:
II.
Probability
Probability of Simple Events
Abuzo, et.al. (2013), Mathematics Learner’s Module 8: Measures
of Central Tendency of Ungrouped Data, Book Media Press, Inc.,
Printwell, Inc., 2013 pp. 568-569
https://www.onlinemathlearning.com
Power Point Presentation, Markers, Charts, Show-Me Board,
Cartolina, Die, Coin
Procedure
Teacher’s Activity
Students’ Activity
Daily Routine
1. Prayer
Neil, please lead the prayer
2. Greetings
Good morning, Grade 8!
Our Father, Who art in heaven, hallowed
be Thy Name, Thy Kingdom come, Thy
will be done, on earth as it is in heaven.
Give us this day our daily bread. And
forgive us our trespasses, as we forgive
those who trespass against us. And lead
us not into temptation, but deliver us from
evil. Amen.
Good morning, Miss Venida!
3. Classroom Management
Please pick up the pieces of trash
when you see one, and please
throw it in the trash bins placed
around this classroom.
4. Checking of Attendance
Andrew, do we have absentees No one is absent today, ma’am.
today?
Very good!
5. Checking of Assignment
Do we Have an assignment, class?
None, ma’am.
6. Recall/Review
Class, what did we discuss last Ma’am, we discussed about the Measures
meeting?
of Central Tendency
What are the Measures of Central The Measures of the Central Tendency
Tendency?
are Mean, Median and Mode
What is the Mean?
Mean is the average
What about the Median?
Median is the number at the middle
What about the Mode?
Mode is the most frequent at the set of
numbers
Very good!
Motivation (Group Activity)
“Find Math in Me”
Mechanics:
 I will play a song and will show you
the lyrics
 List down all the words that is
related to math
 The group that has the most
number of words listed will be
announced as the winner
 Each member of the winning group
will get an additional 5 points in our
next monthly exam
“Born for You”
Too many billion people
running around the planet
What is the chance in heaven that
you’ll find your way to me?
Tell me what is this sweet sensation
It’s a miracle that happened
Though I searched for an
explanation
Only one thing it could be
That I was born for you
It was written in the stars
Yes, I was born for you
And the choice was never ours
It’s as if the powers of the universe
conspired to make you mine
And ‘til the day I die, I bless the day
that I was born for you
All of your answers are correct, but
for today, the most important word
that has something to do with our
topic is the word CHANCE.
Activity (by group)
“Chance or No Chance”
Mechanics:
 Group yourselves into three (3)
groups
 I will show you 10 situations and
what you are going to do is to
answer it with “Chance” - if the
situation is possible and “No
1) Too many
2) Billion
3) CHANCE
4) Find
5) Searched
6) Explanation
7) Only One
8) Stars
9) Choice
10) Powers




chance” if the situation is
impossible
You will be given 5 seconds to think
about what your answer will be and
you are allowed to raise your showme chart only when I say “Raise it!”
Group/s that will not follow the time
limit will be automatically
disqualified
1 correct answer = 1 point
Each member of the winning group
will get an additional 5 points in our
next monthly exam
Situations:
1. Getting a sum of 13 in rolling two
dice on the floor
2. A mother giving birth on Feb 30
3. Getting a perfect score on the 4th
Periodical Test
4. Getting an outcome of two heads
on flipping two 1-peso coins
5. Having 366 days on a calendar next
year
6. Having a leap year on 2022
7. Seeing stars on daytime
8. Having a snow on the Philippines
9. A penguin flies
10. Getting a perfect score on a test
without even studying
1. No chance
2. No chance
3. Chance
4. Chance
5. No chance
6. No chance
7. No chance
8. No chance
9. No chance
10. No Chance
Integration to Other Subject
a) What is the most common word that
you have noticed from our activity?
b) In the word “chance,” what do you
think is the other term for it?
c) In your English subject, what do
you call those two words with the
same meaning?
d) How about the two words that the
meaning is opposite to each other?
a) The word “Chance,” ma’am
b) Probability,
likely,
possibility
c) It is called “synonyms”
certainty,
d) It is called “antonyms”
Analysis
a) How do you find the activity?
b) In our activity, we have used the
word/s “chance” and “no chance.” If
you are going to represent the word
“No chance” as a number, what will
it be?
c) How about if an event is sure to
happen or if there is a certain
chance that it will happen, what
number will you use to represent it?
For further understanding of the lesson, let
us take a look at our Probability Line.
a) I find it really fun and exciting,
ma’am!
b) If I am going to represent it as a
number, it will be zero (0) or 0%,
ma’am.
c) If it is certain, then it will be one (1)
or 100%
Abstraction
Probability of Simple Events
Probability is the measure of the likelihood
that an event will occur. It does not tell us
exactly what will happen, it is just a guide.
It is the ratio of number of favorable
outcomes to the total number of possible
outcome.
Impossible
(0)
Unlikely
(1/4 or 25%)
Even Chance
(1/2 or 50%)
Likely
Certain
(3/4 or 75%) (1 or 100%)
Example 1: Tossing a coin
What is the Probability of getting a tail
when a coin is tossed once?
Guide Questions:
1. What are the possible outcomes or
the sample space when a coin is
tossed once?
2. How many outcomes do you have?
3. From the problem, what is being
asked or the event?
4. Based on our Probability Line, what
is the chance of getting a tail when
a coin is tossed once?
5. In your answer, what does the
denominator represents?
6. What about the numerator?
7. Based from your answers, can you
tell me the formula for finding the
Probability of an event?
1. Head and tail
2. We have two possible outcomes
3. We are asked to get a tail
4. ½ or 50%
5. The denominator represents the
number of all the possible
outcomes when a coin is tossed
once
6. The numerator represents the
number of the favorable outcomes
or the event
7. P (event) = no. of favorable outcomes
no. of all possible outcomes
Example 2: Rolling a die
What is the Probability of getting an even
number when a die is rolled?
Guide Questions:
1. What are the possible outcomes or
the sample space when a die is
rolled?
2. How many outcomes do we have?
3. From the problem, what is being
asked or the event?
4. Based on our Probability Line, what
is the chance of getting an even
number when a die is rolled once?
5. In your answer, what does the
denominator represents?
6. What about the numerator?
1. The possible outcomes are 1, 2, 3,
4, 5 and 6
2. We have six possible outcomes
3. We area asked of getting an even
number
4. 3/6 or ½ or 50%
5. It represents the number of all the
possible outcomes when a die is
rolled once
6. The numerator represents the
number of the favorable outcomes
or the event
7. Based from your answers, what is
the formula for finding the
Probability of an event?
7. P (event) = no. of favorable outcomes
no. of all possible outcomes
Application (Group Activity)
Mechanics:
 The class will be divided into three
groups
 You are going to act out the
situations given to your group and
answer the guide questions
 Assign a member to discuss your
answers in front of the class
 7 minutes will be allotted for you to
accomplish the task as a group, 5
minutes for your preparation and 2
minutes for the presentation
Situations:
Group 1:
You joined the competition “Miss Q and A.”
The participants are 10 in all, including you.
Guide Questions:
 Do you have a chance to win the
pageant?
 What is the probability that you will
win the competition?


Yes, I do have a chance to win the
pageant
The probability is 1/10 or 0.1%. it
may be low, but it is still chance.
Group 2:
Richard is playing cards. He is to select a
card from an ordinary deck of 52 playing
cards. His opponent Aries will pay him
P100 if the card selected is an ace, if not,
then Richard will pay Aries P100.
Guide Questions:
 What is the probability of Richard
getting an ace card?
 If you were Richard, will you accept
Aries’ challenge?

The probability of Richard getting
an ace card is 4/52 or 0.08%

Most probably, no, because there
is an unlikely chance of winning the
challenge.

We are 6 in all, and we are
classified as the sample space.

We have 2 girls and 4 boys in a
group. The probability of girls to be
chosen is 2/6 or 1/3 or 0.33%. On
the other hand, the probability of
boys to be chosen is 4/6 or 2/3 or
0.67%.
Group 3:
The teacher is selecting a student from
your group to be a representative in the
upcoming event called “Red Cross Week.”
The representative could be in any gender
because she only wants a student who is
responsible.
Guide Questions:
 How many are you in your group?
In probability, you can be classified
as _____________.
 What is the probability that the
student chosen is a girl? What
about the probability when the
chosen student is a boy?
Generalization
1. P (event) = no. of favorable outcomes
1. How to get the probability of an
event?
2. If the probability of an event is 0,
what does it mean?
3. What is the probability if a situation
or an event is certain to happen?
III.
no. of all possible outcomes
2. If the probability of an event is 0,
then it means that the event or the
situation is impossible to happen.
3. If a situation or an event is certain
of sure to happen, then the
probability is 1 or 100%.
Assessment
Teacher
Student
Matching type: Write the letter of the
correct answer on the space provided.
Given:
Set R = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
Column A
The probability of having:
___1. A 5
___2. Integers
___3. Odd numbers
___4. Even numbers
___5. A 13
IV.
Column B
a. 1/12
b. 3/12 or ¼
c. 6/12 or ½
d. 12/12 or 1
e. 0/12 or 0
1.
2.
3.
4.
5.
A
D
C
C
E
Assignment
Teacher
Students
Cite some events in your life where in the (The students will copy their assignment)
probabilities are:
1. 0
2. ¼
3. ½
4. ¾
5. 1
Good bye, class! See you all tomorrow!
V.
Good bye, Miss Venida!
Remarks
___ of ___% of the Grade 8 students was able to reach the mastery level of the subject
matter.