Detailed Lesson Plan in Mathematics
(Grade 8)
I.
Objectives
At the end of the 60 minute session, the student will be able to:
a. remember the formula =
𝑓𝑎𝑣𝑜𝑟𝑎𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒
𝑡𝑜𝑡𝑎𝑙 𝑜𝑢𝑡𝑐𝑜𝑚𝑒
;
b. solve for the probability of an event;
c. interpret the probability of an event.
II.
Subject Matter
Topic: Basic Probability
Sub-topic: Probability of an Event
Reference: Mathematics Learner’s Module pp. 568-569
Materials: PowerPoint Presentation and Dice
Values: Accuracy and cooperation
III.
Procedure
Learning Activities
Teacher’s Activity
A. Daily Routine
“Please stand up and let us
pray.”
“Good morning class!”
“Before you take your seat,
kindly pick up the pieces of
paper under your chair.”
Student’s Activity
(One student will lead the prayer.)
“Good morning Sir!”
(Student will pick up pieces of paper
under their chair.)
(Groups will be called to report if (Leader of each group will report if
there’s any absent.)
there’s any absent.)
B. Review and Motivation
“Before we proceed to the
lesson proper here are the
things that you need to recall in
order for you to learn our lesson
for today.”
Simplify the following:
1
2
1)
5
10
2)
0
10
2) 0
3)
10
10
3)1
“Now you are equipped with the
1)
prior knowledge you need to
learn, I will now show you a
video that could help you
understand the concept of our
topic for today”
(Students will watch the video)
(The video will be shown to the
students)
C. Presentation
“Did you enjoy the video?”
“Yes Sir”
“Who are the characters in the
video?”
“the Four Spinners”
“How do they decide about the
road that they will take?”
“They are a walking spinner so they
let their arrow spin and decide of
which path they will take. If the
arrow points at number 3 they will
take Road 3 but if it is 1 or 2 they
will take the other road”
“The first spinner has a bigger
space for number 3 so it has a
“What was the difference among bigger chance of taking route 3. The
the four walking spinner and
second one has a smaller space for
how do this differences affect
number 3 so the chance of taking
them?”
the Route 3 is smaller. The third one
doesn’t have a number 3 in the
spinner so it has no chance of
traveling Route 3. And the last one
has only one number to the spinner
which is 3 so it will surely travel to
route 3. In short each of them has
different chance in travelling route 3.
Their differences affect their choices
they make.”
“Very good. The path that they
will take depends upon the luck
and chances not by their will.
The word that I want to
emphasize is “chance”. How
can we compute for the chance
of an event to happen? So
today we are going to explore
the mathematics behind this.”
“Probability is a chance of an
event to happen.”
“Class, are you familiar with
“Yes Sir”
color game?”
“Can someone please explain
the mechanics of the game?”
“You are going to place your bet in
the color that you think would win
then they will roll the dice if your
color is at the top you win but if the
other color is going to be on top it
means you lose”
“Let’s try it. But we are going to
add some twist. Group 1 will
going to bet in one color only,
Group 2 will have 2 colors,
Group 3 will have 3, Group 4 is
have 4, Group 5 will have 5 and
Group 6 you have 6 colors.”
(they will pick a color and the dice
will roll)
“what can you say about our
game”
“Sir ,it is unfair because we do have
different level of chances of winning”
“Now let us compute for
probability that your group will
win. The formula for getting
probability is
=
𝑓𝑎𝑣𝑜𝑟𝑎𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒
𝑡𝑜𝑡𝑎𝑙 𝑜𝑢𝑡𝑐𝑜𝑚𝑒
”
“Who wants to read and explain
the meaning of favorable
outcome?”
“that was nice answer, How
about total outcome? ”
“That is right. Now that you have
an idea what is favorable
outcome, total outcome and the
formula is already given. Can
now someone solve for
probability of your group to win
in color game?”
(Student will read the definition). “Sir
it is the result that you wanted to
happen for example in our group
getting a yellow so the number is
1since there is only one yellow in
the dice.”
(Student will read the definition)
“from the word total it means all
possible events that might happen I
think it is 6 sir because there are all
six colors that might win in that dice”
“1/6. The favorable outcome in the
formula is the numerator while the
total outcome is the denominator so
I simply write it in fraction form.”
“How about on the other group
can you please solve for the
probability that you will win in
the color game”
What if I also join in the game
and I pick color Gray. What was
the probability that I will win
Group 2: 1/3
Group 3: 1/2
Group 4: 2/3
Group 5: 5/6
Group 6: 1
=0/6
=0
“sir, because there is no color gray
in the dice so the no of favorable
outcome is 0”
“Now observe your answers.
What was the highest probability “1 and 0”
and lowest probability ”
“Very good. The first rule in the
probability is that the range of
probability is 0-1. Did you
understand?”
“What can you conclude about
Group 6’s probability of
winning?”
“Yes sir”
“they got 1, getting a probability of 1
means the event will surely happen”
“Very good, that was the second “getting 0 means the event is
rule in probability. How about
impossible to happen”
getting 0”
“That is right. That was the other =1/6+1/6+1/6+1/6+1/6+1/6
rule in probability. But what if I
=6/6
added the probability of getting
=1
each color (it means 6
probabilities). What do you think
is the result?”
“Very good. The last rule is that
the sum of the probabilities of
all the outcome in sample space
is 1”
“Is there any question?”
“No sir”
“we can now proceed to our
activity”
D. Activity
(Group Activity)
If your group will be performing
a draw lots what is the
probability of picking:
a. the name of the leader;
b. a of a girl;
c. a student with the name that
starts with letter j.
E. Generalization
(Each group will have different
answers depending on the number
and composition of their group.)
“What is probability?”
“How can we compute for
probability?”
“What is the range of the
Probability?”
“what does it mean of getting 1
in probability”
“Probability is a chance of an event
to happen”
“we will use the formula
𝑓𝑎𝑣𝑜𝑟𝑎𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒
=
𝑡𝑜𝑡𝑎𝑙 𝑜𝑢𝑡𝑐𝑜𝑚𝑒
“0-1”
“meaning the event will surely
happen”
“How about getting 0?”
“the event is impossible to happen”
IV.
Evaluation
Solve the probability of the problem.
A bag has 2 red marble, 5 green marble, and 3 blue marble. You will pick
1 marble. What is the probability of getting:
a. red marble;
b. blue marble;
c. blue and green marble;
d. not red marble;
e. orange marble?
V.
Assignment
Answer Activity 8 on page 570 in your Mathematics Learner’s Module.
Prepared by:
Denjie M. Magrimbao