DETAILED LESSON PLAN IN MATHEMATICS
GRADE VI
I.
LEARNING OBJECTIVES:
After going through this lesson, you are expected to:
a. Make simple prediction of event on the result of experiments on
(tossing coins, rolling dice, drawing card, spinning wheel).
b. Identify the outcomes.
c. Determine the number of outcomes in the sample space.
II.
LEARNING CONTENT:
Subject Matter: Predictions and Probability
Reference: Math for Life (Worktext) pp.358-370
Materials: pictures, cartolina, dice, spinning wheel, cards
Value: The importance of being optimistic in decision making.
III. LEARNING EXPERIENCE:
TEACHER’S ACTIVITY
PUPIL’S ACTIVITY
A. Preliminary Activities
PRAYER
Let us begin this day with a short prayer. In the name of the father and of the
Everybody please stands up.
son, and of the Holy Spirit Amen.
Our Father.
Greetings
Good morning Class!
“Good morning teacher, good
morning classmates, good morning.
You may take your seat now.
Thank you, Teacher.
Checking of Attendance
Is anyone absent today?
1.
2.
3.
4.
5.
1, 2, 3 (clap) we are complete
teacher.
Classroom Rules:
Listen when teacher is talking.
Respect yourself and other.
Raise your hand to speak.
Participate Actively
Follow Instruction
Is it clear children?
Drill
Match the following with each letter
in the probability line.
Yes Teacher
UNLIKELY
A
LIKELY
B
C
¼
0%
impossible
uncertain
0.25
25%
chance
D
½
E
¾
0.5
0.75
50%
75%
50/50 even chance
1
100%
certain
______1. According to PAGASA dried
season in this year will be 20%.
______2. The sun will be rise tomorrow is a
100% sure.
______3. Sports’ analyst says that Juliana
Gomes has 85% chance winning
gold at UAAP Season 85%.
______4. The likelihood that 7 out of 10
children love Jollibee most is 89%
______5. If you flip the coin it will 50%
come out head.
All got a correct answer. Let us give
them a very good clap.
Review
(Pupil’s answer)
Pupil A answers number 1 B
Pupil C answers number 2 E
Pupil E answers number 3 E
Pupil B answers number 4 E
Pupil D answers number 5 C
Clap 3X
Stomp 3X
Very good, Very good, Very good
Before we proceed to our new lesson. Let me
see if you still remember our previous
lesson.
Teacher it was all about interpreting
Does anyone remember our previous lesson? Circle graphs.
Activity: Use the circle graph to
answer the following.
Yes, pupil B
. Good answer pupil B.
For your activity answer the following
question about the circle graph
B. Learning Procedure
Motivation:
GAME: “BRING ME”
SITUATION
POSSIBLE OUTCOME
1.
ROSARY
3/55
2.
HANKY
25/55 or 5/11
3.
COLOGNE
30/55 or 6/11
4.
UMBRELLA
42/55
Favorite Pizza Toppings
pepperoni 50%
cheese
10%
sausage
15%
supreme 25%
____1. Which topping got the most?
____2. Which topping got the
fewest votes?
____3.
How
many
different
toppings were in the survey?
____4. What is the title of the
graph?
5.
PAPER
45/55 or 9/11
.
Answers (Assuming)
I’m glad everybody’ s alive today. So, let us give
yourself an amazing clap.
CLAP 3X
Your game in class is covered in today’s lesson.
But first, could you explain what probability is? Stomp 3X Yes
Is anyone doing an advance reading?
Yes, Pupil B.
Pupil B raises hand
Very good!
When we do something and we are expecting a
Probability is used to describe how
likely or unlikely it is that something
will happen.
result by CHANCE or we are certain of what the
result will be in PROBABILITY we call it an
EXPERIMENT. The outcome of an experiment is
the possible result, and all the possible outcomes .
is what we called sample space.
Example:
If we spin the wheel repeatedly, it is an
experiment when it landed on 1 meaning that was
an outcome.
Again, take a look at the wheel. What do you see? Pupil A:
Teacher, numbers
Yes pupil A.
Good!
How would you describe these numbers? and
what do those figures means? Yes, pupil C
Pupil C: 1, 1, 1, 2, 2, 3, 3, 5 these
are Sample Space teacher!
Exactly!
Now let’s proceed
C. Presentation of the Lesson
Example:
Sample Space: 1, 2, 3, 4, 5, 6
Amy tossed a dice 20 times.
The results are given in the table below.
Find the experimental probability of getting 6.
(Children are listening attentively)
face
1
2
3
4
5
6
# it occurs
3
4
2
3
2
6
Formula:
number of favorable outcomes (no. of 6 occurs)
number of possible outcomes
Probability =
= 6/20 or 3/10
Therefore, the probability of getting 6 in 20
times is 3/10.
Again, using our formula, what is the probability
that getting a s3?
P = number of favorable outcomes (no. of 3 occurs)
number of possible outcomes
= 2/20 or 1/10
Therefore, the probability of getting 3 is 1/10
Example 1:
A coin is tossed 30 times. A head appeared 18
times. Find the experimental probability of
getting heads.
HEAD
18
TAIL
12
Sample Space:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30
Solution:
P=
number of times the event occurs (head appeared)
total numbers of trials
= 18/30 or 3/.5
Therefore, the experimental probability of
getting a head is 3/5
Example 2: Spinning a Wheel
Note:
Sample space 1, 2, 3, 4, 5, 6
a. What is the probability of landing on 3 or
5?
Solution:
number of times the event occurs (landing on 3 or 5)
total numbers of trials
= 2/6 or 1/3
Therefore, the probability of landing on 3 and 5
is 1/3,
b. What is the probability of landing on an
even number?
number of times the event occurs (landing on even numbers)
total numbers of trials
= 3/6 or 1/2
Therefore, the probability on landing on an even
number is ½.
c. What is the probability of landing on 4?
number of times the event occurs (landing on 4)
total numbers of trials
= 1/6
Therefore, the probability landing on 4 is 1/6.
Example 3: Drawing a Card
Sample Space 1.2,2,3,3,3,4
1
2
2
3
3
3
4
Questions:
1. What is the probability of drawing an even
number?
How many even numbers do we have?
Okay very good!
Two 2’s and one 4 teachers.
number of times the event occurs (sum of even numbers)
total numbers of trials
= 3/7
Therefore, the probability of drawing an even
number is 3/7.
2. What is the probability of drawing an odd
number?
Let me see, how many odd numbers we have in Four teacher, three 3’s and 1
our spinning wheel.
number of times the event occurs (sum of odd numbers)
total numbers of trials
= 4 /7
Therefore, the probability of drawing an odd
number card is 4/7
Any other reaction, clarification?
Do you understand now what probability
experiment is?
No teacher
Yes, Teacher
That’s good!
Now it’s your turn?
Learning Task 1:
Using Probability Formula, try to answer the
following:
A. In the game “rock. paper, and scissor”.
determine the experimental probability.
1.Pupil A:
Solution:
number of times the event occurs (Juan won)
total numbers of trials
1. In 60 tries Juan won 30 times. what is the
probability that Juan won?
= 30/60 or ½ teacher
2. Pupil C:
2. In 31 tries Pedro beat Francisco 11 times
What is the probability that Pedro won Solution:
number of times the event occurs (Pedro beats)
over Francisco?
total numbers of trials
3. In 40 tries Amelia won over Nelia 10 times.
What is the probability that Amelia won
over Nelia?
= 11/31 teacher
3.Pupil G:
Solution:
number of times the event occurs (Amelia won)
total numbers of trial
Learning Task 2:
B.
Two dice are rolled ten times and the total
= 10/40 or 1/3
Numbers of dots are added up. Here are the
outcomes of the sum.
6
7
12
5
2
9
10
5
7
8
4. What is the experimental probability that
the faces of 5 dots appear?
4.Pupil E:
Solution:
number of times the event occurs (faces of 5)
total numbers of trial
=2/10 or 1/5
5. What is the experimental probability that 5.Pupil J:
the sum is greater than 6?
Solution:
number of times the event occurs (greater than
7,7,8.9.10.12)
total numbers of trial
=
Activity Group (by row)
You are going to group into 4.
I had prepared some envelop there. So
please kindly read and comprehend all the
instruction.
6/10 or 3/5
GROUP 1 (Row 1)
Two dice are rolled ten times and
the total numbers of dots are added
up. Here are the outcomes of the
sum.
6 7 12 5
2
9
10 5 7 8
What
is
the
experimental
probability that the sum is even
number?
GROUP 2: (Row 2)
There are 20 Marbles in a container:
4 are red, 5 are blue, and 11 are
yellow. What is the probability that
a blue marble will be picked?
GROUP 3: (Row 3)
A coin is tossed 60 time. A head
Appeared twenty-seven times.
Find the experimental probability of
getting heads.
GROUP 4 (Row 4)
In a box, there are 1 pink cube, 4
green cubes, and 2 blue cubes. What
is the probability of picking pink
cube out of the box?
GENERALIZATION:
Lead the pupils in generating that:

Probability of an event =
Number of favorable outcomes
Number of possible outcomes



Experiments is an activity with observable
results.
Outcome is the result of an experiment
Sample space refers to the set of all
possible outcome in an experiment.
Pupil: G
Teacher we can apply the concept of
How can we use or apply probability in our daily life? probability to making decisions
In what way?
Yes, pupil G
Exactly!
Do you now understand what our lesson is all about?
in life. Just like studying harder to
get a good score in test, or a perfect
score, the probability is 100.
Yes teacher!
Therefore, probability can be used in decision –
making or in data analysis, for example in weather
forecasting or in cooking as part of our everyday
lives.
No, teacher!
Any other clarification?
Excellent!
EVALUATION:
Direction: Use each diagram to solve the following
problem.
1. If you spun the spinner one time, what is the
probability it would land on a green color?
A. 3/8
B. 8/8
C. 1/8
2. If you spun the spinner one time, what is the
probability of landing a yellow or red?
A. 5/9
B. 1/9
C. 3/8
3. If you spun the spinner one time, what is the
probability of landing yellow color?
A. 2/8
B. 1/8
C. 3/8
4. If you spun the spinner one time, what is the
probability of land on blue color?
A. 4/8
B. 2/8 or 1/4
C. 3/8
5. If you spun the spinner one time, what is the
probability of landing on green and red?
A. 6/8
B. 4/8
C. 5/8
Assignment:
Make a three diagram and a listing of
Possible outcomes when you toss 2 coins a
time. Do this in your notebook
Are you through children?
Okay everybody stands up and let us pray
Good bye grade six.
Prepared by:
GENELYN M. ESPINO
Yes, Teacher
In the name of the father,
Good bye, teacher, good
classmate, see you on Monday
bye