GRACE MISSION COLLEGE
Catiningan, Socorro, Oriental Mindoro
e-Mail: grace.missioncollege@yahoo.com
GRADE 10 MATHEMATICS
Daily Lesson Plan
February 6, 2025
STAGE I
CONTENT STANDARD
The learner demonstrates understanding of key concepts of combinatorics and probability.
PERFORMANCE STANDARD
The learner is able to use precise counting technique and probability in formulating conclusions
and making decisions.
TRANSFER GOAL
The learners will be able to apply the concepts of probability in the union and intersection of
events to solve real-world problems involving multiple events.
OBJECTIVES
At the end of the lesson, the students are able to:
1. recall the concepts related to sets and probability of simple events
2. Illustrate union and intersection of events using Venn diagram.
3. Appreciate the importance of understanding probability in real-life situations.
LEARNING COMPETENCY
 M10SP-IIIf-1: illustrates events, and union and intersection of events.
STAGE II
EXPLORE
ACTIVITY 1: The Boat is Sinking!
Instruction:


The teacher will distribute a strip of different colors with specific number written on it e.g 1, -2,
3, 5, -1, 6, 12, 8, -9).
The teacher will ask the students to group themselves according to the given condition:
a. Gender
b. Color of strips
c. Birth Month
d. Height
e. Favorite Subject
f. The Number on the Strips, as Odd/Even
g. The Number on the Strips, as Positive/Negative
h. The Number on the Strips, as Prime/Composite
i. The Number on the Strips, as Positive/Even
ACTIVITY 2: Find the Treasure!
Direction: Answer the following questions in each chest to get the treasure.
1) It is a measure or estimation of how likely that an event will occur or happen.
2) What is the formula in finding the Probability of an Event E?
3) It is the set of all possible outcomes of an experiment.
GRACE MISSION COLLEGE
Catiningan, Socorro, Oriental Mindoro
e-Mail: grace.missioncollege@yahoo.com
4) Two leaders are selected from five students A, B, C, D and E to lead a tree planting activity.
Give the sample space.
5) These are possible results of an experiment.
6) A bag has 3 red, 4 yellow, 6 blue and 7 white marbles. If a marble is picked at random, what is
the probability that the picked marble is blue?
7) Grade 10 - Aguillion has 24 male and 11 female students. Suppose that the officers are
chosen at random, what is the probability of choosing a female as the president of this class?
8) Linda has 6 roses, 5 anthuriums, 9 daisies, and 10 dahlias in her flower vase. If she picks one
flower at random, what is the probability that she will pick a rose?
FIRM UP
Activity 3: Name and Count!
Direction: Name the elements and find the cardinality of the following sets:
a)
A is the set of Southeast Asia nations.
b)
B is the set of months of the year with exactly 30 days.
c)
C is the set of positive odd integers less than 10.
d)
D = {positive multiples of 3 less than 30}
e)
E = {positive even prime number}
f)
F = {distinct letters in the word PHILIPPINES}
Activity 4: Solve and Illustrate!
Direction: Solve and illustrate the union and intersection of the given sets below.
A. If R is the set of colors in a rainbow and F is the set of colors in the Philippine flag,
1) Name the elements of each set and their cardinality.
2) Find the union and intersection of these two sets.
3) Illustrate the union and intersection of set R and F using a Venn diagram.
B. If G = {𝑥 | 𝑥 𝑖𝑠 𝑎 multiple of 3 between 10 and 28} and H = {𝑦 | 𝑦 𝑖𝑠 𝑎 multiple of 6 between 5
and 40
1) Name the elements of each set and their cardinality.
2) Find G ∪ H.
3) Find G ∩ H.
4) Illustrate the union and intersection of G and H using a Venn diagram.
TRANSFER
Activity 5: It’s Card Time!
Direction: Solve and illustrate the union and intersection of the given problems about the standard
deck of cards.
1. drawing a red card and Jack
2. drawing a heart and Ace card
3. drawing a black card or a face card
4. drawing a diamond and a face card
5. drawing a King or Quen card
DEEPEN
Activity 5: It’s Experiment Time!
GRACE MISSION COLLEGE
Catiningan, Socorro, Oriental Mindoro
e-Mail: grace.missioncollege@yahoo.com
Direction: Students will be grouped according to the color of the strip they received during the first
activity. Each group should answer the given task about union and intersection of events.
GROUP 1 – Rolling a Die
Problem: A standard die is rolled once. Let event A be the outcome being an even number, and event
B be the outcome being a number greater than 3.
● A
● B
● A∪B
● A∩B
GROUP 2 – Drawing a Card
Problem: In a standard deck of cards, let event A represent drawing a red card, and event B represent
drawing a face card.
● A
● B
● A∪B
● A∩B
GROUP 3 – Tossing a Coin
Problem: Consider the experiment of tossing two fair coins simultaneously. Let event A represent the
outcomes getting at least one Head, and B the outcomes getting at least one Tail.
● A
● B
● A∪B
● A∩B
GROUP 4 – Spinning a Wheel
Problem: Consider the experiment of tossing two fair coins simultaneously. Let event A represent the
outcomes getting at least one Head, and B the outcomes getting at least one Tail.
● A
● B
● A∪B
● A∩B
TRANSFER
POST ASSESSMENT
Directions: Answer the following:
GRACE MISSION COLLEGE
Catiningan, Socorro, Oriental Mindoro
e-Mail: grace.missioncollege@yahoo.com
1. You draw a card from a standard deck of 52 cards. Let: Event A: Drawing a heart and Event B:
Drawing a face card. Find
- A
- B
- A∪B
- A∩B
2. You roll a fair die. Let: Event A: Rolling a number greater than 2. Event B: Rolling an odd
number.
- A
- B
- A∪B
- A∩B
Prepared by:
Checked and Verified by:
JEORGE O. HUGNO
Subject Teacher
MARIA ANGELICA M. DENIA
Basic Education Academic Coordinator
Approved by:
ANGIE B. DALOGDOG, MAEd
OIC Principal