Q3_WEEK7 DAILY LOG LESSON PLAN FOR MATHEMATICS 10.docx

1. I. OBJECTIVES
1. Content Standards The learner demonstrates understanding of the key concepts of combinations and probability.
2. Performance
Standards
The learner is able to use precise technique and probability in formulating conclusion and making decisions.
3. Learning
Competencies
Objectives
II. CONTENT Probability of Union
and Intersection of Two
Events
Probability of Union
and Intersection of Two
Events
Probability of Union
and Intersection of Two
Events
Probability of Union
and Intersection of
Two
Events
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide
2. Learner’s
Materials
3. Textbook
GRADE 10
DAILY LESSON
PLAN
School NAIC COASTAL INTEGRATED NHS Grade Level 10
Teacher MS. JAMAICA FAYE O. NUEVA Learning Area MATHEMATICS
Teaching Dates and
Time
7:00 – 8:00 – BAGUMBAYAN
8:30 – 9:30 – BALTAZAR
12:10 – 1:10 – MAGDIWANG
2:10 – 3:10 – JOMAPA
Quarter THIRD

2. 4. Additional
Materials from
Learning
Resources (LR)
portal
B. Other Learning
Resources
IV. PROCEDURES
A. Reviewing previous
lesson or presenting the
new lesson
A standard deck of 52
playing cards includes
13
ranks of each of the four
suits: club (♣), spade
(♠), diamond (♦) and
heart (♥).
Each suit includes an
ace, ranks 2 through 10,
a jack, a queen and a
king.
If a card is drawn from a
well-shuffled deck of
cards, find the
probability
of drawing:
a. an ace =
b. a diamond =
If a card is drawn from a
well-shuffled deck of
cards, find the probability
of drawing:
a. a king
b. a black king
If a card is drawn from a
well-shuffled deck of
cards, find the
probability of drawing:
a. a queen =
b. a red ace =
If a card is drawn from
a well-shuffled deck of
cards, find the
probability of drawing:
a. a face card =
b. a black card =

3. B. Establishing a purpose
for the lesson
110 grade 10
students from Naic
Coastal Integrated
National High School
are interviewed if they
are willing to join
either volleyball or
basketball in the
upcoming
sports fest.
Shown here is the
result of the survey.
SPORT
VOL
L
EY
B
ALL
BASK
E
TBAL
L
VOLL
E
YBAL
L
and
BASK
E
TBAL
L
NUMB
E
R OF
STUD
E
NTS
22 44 33
Construct a Venn
Diagram
a. What is the
probability of the
students who are
willing to join
volleyball?
b. What is the
probability of the
200 grade 10 students
from Naic Coasta
Integrated National
High School are
interviewed if they are
willing to join either
volleyball or
basketball in the
upcoming sports
fest.
Shown here is the result
of the survey.
SPORT
VOL
L
EY
B
ALL
BASK
E
TBAL
L
VOLL
E
YBAL
L
and
BASK
E
TBAL
L
NUMB
E
R OF
STUD
E
NTS
100 50 50
Construct a Venn
Diagram
a. What is the
probability of the
students who are
willing to join
basketball?
b. What is the
Dario puts 44 marbles in
a box in which 14 are
red, 12 are blue, and 18
are yellow. If Dario picks
one marble at random,
what is the probability
that he selects a red
marble or a yellow
marble?
Out of 5200 households
surveyed, 2107 had a
dog, 807 had a cat, and
303 had both a dog and
a cat. What is the
probability that a
randomly selected
household has a dog or
a cat?

4. students who are
willing to join
volleyball only?
probability of the
students who are
willing to join
basketball only?
C. Presenting
examples/Instances of the
new lesson
Max rolled a fair die
and wished to find the
probability of “the
number that turns up
is even or number
greater than 3”
Jenny rolled a fair die and
wished to find the
probability of “ the number
that turns up odd or even?
A bowl contains 15 chips
numbered 1 to 15. If a
chip is drawn randomly
from the bowl.
Draw the Venn diagram
that illustrates the
probability of union of
two events:
a. even or divisible by
3
A bag contains 7 orange
marbles, 7 blue
marbles, 4 green
marbles and 1 red
marbles. The marbles
are of the same size and
weight. a. Would it be
likely to pull a blue
marble than a green
marble from the bag?
D. Discussing new
concepts and practicing
new skills # 1
Think Pair Share
A card is drawn at
random from a
standard deck of
cards. What is the
probability of getting a
jack or a spade?
In drawing a Venn diagram
1. How many circles do you
need to draw?
2. What have you notice to the
circles?
3. Why do you need to
intersect the circles?
4. Where did you write the
common outcome?
b. a number divisible
by 3 or divisible by 4
b. Would it be more
likely to pull an orange
marble than a blue
marble from the bag?

5. E. Discussing new
concepts and practicing
new skills # 2
a. How many jack
cards are there in the
deck of cards?
b.
a. How many spade cards
are there in the deck of
cards?
a. Is there a jack card
that is also spade
card? If there is how
many cards are jack
card that are also
spade card?
The union of two events
is a new event that
contains all of the
outcomes that are in at
least one of the two
events. The probability
of the union of events A
and B, denoted by
P(A∪B). 
𝑃(𝐴∪𝐵)=𝑃(𝐴)+𝑃(𝐵)−𝑃(𝐴∩𝐵
)  The intersection of
two events is a new
event that contains all
of the outcomes that
are in both events. The
probability of the
intersection of events A
and B is denoted by 𝑃(𝐴
∩ 𝐵)
F. Developing mastery
(leads to Formative
Assessment 3)
1. What is the
probability of drawing
a card that is either a
diamond or an ace
from a standard deck
of 52 cards?
2. What is the
probability of rolling
either a 7 or 11 from
a pair of dice?
Working in pairs, let them try
to illustrate a Venn diagram
with the following problem.
1. A die is rolled , what is the
probability of getting an even
number or a factor of 2?
2. A fair die is rolled . What is
the probability of getting a
number less than 4 and a
multiple of 2.
A container contains 20
chips numbered 1 to 15.
If a chip is drawn
randomly from the bowl,
what is the probability
that it is a. 7 or 15? b. 5
or a number divisible by
3?
A container contains 20
chips numbered 1 to
15. If a chip is drawn
randomly from the
bowl, what is the
probability that it is
c. even or divisible by
3? d. a number divisible
by 3 or divisible by 4?

6. G. Finding practical
application of concepts
and skills in daily living
Dario puts 44
marbles in a box in
which 14 are red, 12
are blue, and 18 are
yellow. If Dario picks
one marble at
random, what is the
probability that he
selects a red marble
or a yellow marble?
Out of 5200
households surveyed,
2107 had a dog, 807
had a cat, and 303 had
both a dog and a cat.
What is the probability
that a randomly
selected
household has a dog or
a cat?
A box contains 6
white balls, 5 red
balls and 4 blue balls.
What is the
probability of drawing
a red ball or white
ball?
A cube with A, B,
C, D, E, and F on its
faces is rolled. What
is the probability of
rolling a vowel of a
letter in the word
FRAUD?

7. H. Making generalizations
and abstractions about the
lesson
Compound events –
defined as a
composition of two or
more other events
They can be formed in
two ways:
• Union-the union of
two events A and B,
denoted as A∪B, is
the event that occurs
if either A or B or
both occur on a single
performance of an
experiment.
• Intersection – the
intersection of two
events A and B,
denoted
as A∩B, is the event
that occurs if both A
and B occur on a
single performance of
the experiment.
Questions:
1. How can you
explain the union
and intersection
of two events?
2. What are the key
points in solving
the union and
intersection of
two events?
3. What is the
difference in
situation of
having one event
and two events?

8. I. Evaluating learning 1. A day of the week is
chosen at random.
What is the
probability of
choosing a Monday or
Tuesday?
2.A number from 1 to
10 is chosen at
random. What is the
probability of choosing
a 5 or an even number?
1. In a pet store, there are
6 puppies, 9 kittens,
4 gerbils and 7 parakeets.
If a pet is chosen at
random, what is the
probability of choosing a
puppy or a parakeet?
2. The probability of a
teenager owning a
skateboard is 0.37, of
owning a bicycle is 0.81
and of owning both is
0.36. If a teenager is
chosen at random, what is
the probability that the
teenager owns a
skateboard or a bicycle?
1. A single 6-sided
die is rolled. What
is the probability
of rolling a
number greater
than 3 or an even
number?
2. If you are to roll a
pair of dice. What
is the probability
of rolling a
number greater
than 3 or an even
number? Is the
result the same as
in number 1?
Determine whether or
not the two events are
mutually exclusive.
1. A={4,5,6,7,8} and B =
{9,10,11,12,13}
2. A= {1,3,5} and {2,4,6}
3. A = {a,b,c,d} and B =
{c,d,e,f}
4. A= {1,2,3,4,5} and B=
{6,7,8,9}
5. A = {a,b,c,d} and B =
{c,d,e,f}
6. rolling a die and
tossing a coin
7. selecting an even
number or a prime from
a set of numbers
8. getting a red or a
heart from a deck of 52
cards
9. selecting a female
students and a Grade
10 students
10. when rolling a die,
an event that an odd
number occurs or a
number greater than 4
occurs

9. J. Additional activities for
application or remediation
1. What is the
probability of drawing a
card that is either a
diamond or an ace from
a standard deck of 52
cards?
2. What is the probability
of rolling either a 5 or a
number divisible by 2 from
a die?
3. A box contains 6 white
balls, 5 red balls and 4
blue balls. What is the
probability of drawing a
red ball or white ball?
4. A cube with A, B, C,
D, E, and F on its faces
is rolled. What is the
probability of rolling a
vowel or a letter in the
word FRAUD?
V. REMARKS
Prepared by: Checked by:
JAMAICA FAYE O. NUEVA ANNALIZA S. VILLAFLOR
Subject Teacher Key Teacher/Subject Coordinator
Validated by: Noted by:
EDELWINA CONSTACIO JOIE E. BUENDIA, Ed.D
Head Teacher I Principal IV