Section: Zara, Quisumbing & Flores
September 13, 2021
DAILY LESSON PLAN IN MATHEMATICS 7
CONTENT STANDARDS
The learners…
Demonstrate understanding of key concepts of sets and the real
number system.
PERFORMANCE STANDARDS
The learners…
Are able to formulate challenging situations involving sets and real
numbers and solve these in a variety of strategies.
MOST ESSENTIAL LEARNING COMPETENCY:
Illustrates well-defined sets, subsets, universal sets, null set,
cardinality of sets, union and intersection of sets and the different of
two sets.
Duration: Week 1
Time Allotment: 1 hour
LEARNING OBJECTIVES:
The learners are expected to:
1. Define and illustrate different sets
2. Identify subsets of a given set
3. Define and describe:
a. equivalent sets
b. equal sets
c. empty sets
d. universal sets
e. cardinal of sets.
4. Value the importance of sets and subsets in the real
life setting.
I- SUBJECT MATTER
UNIT 1: MODULE 1
Topic: INTRODUCTION TO SETS
Reference: Mathematics 7 LAS, Mathematics 7 Textbooks, SLM’S, and ADM
Materials: Video Lesson/PPT/downloadable worksheets
II- PROCEDURE ( Prayer and Attendance)
III- MOTIVATION
A. ACTIVITIES: (See Enclosure 1)
Activity 1: Identify Me!
Activity 2: Are you Positive or Not?
Activity 3: Solve Me!
B. ANALYSIS
1. What is your understanding about sets?
2. How will you describe the different types of sets?
3. Can you give examples of sets that are being applied in our daily lives?
C. ABSTRACTION
The following are terms that learners must remember:
1. A set is a well-defined group of objects, called elements that share a
common characteristic. The term well defined means that given a set and an
object, one can clearly determine whether that object belongs to the set or
not. A set is usually denoted by a capital letter. For example, set of vowels in
the alphabet: V = {a, e, i, o,u}
2. The set F is a subset of set A if all elements of F are also elements of A.
For example, the even numbers 2, 4 and 12 all belong to the set of whole
numbers. Therefore, the even numbers 2, 4, and 12 form a subset of the set
of whole numbers. F is a proper subset of A if F does not contain all
elements of A.
3. The universal set U is the set that contains all objects under
consideration. The set of all letters in the alphabet could be a universal set
from which the set {a,b,c,d,.....z} could be taken.
4. The null set ᴓ is an empty set. The null set is a subset of any set. The set
of months in a year with 35 days is considered as null set because there is
no months with 35 days.
5. The cardinality of a set A is the number of elements contained in A.
Supposed set A is the vowels in the alphabet. Its cardinality is 5 because
there are just 5 vowels {a, e, i, o, u} in the alphabet.
6. The difference of two sets A and B, denoted by A – B (read as A minus B),
is the set that contains all elements of A that are not in B. In some cases,
the symbol “\” is also used to mean difference. Suppose set A = {1,3,5} and
set B = {2,3,4}, when we take its difference the result will be {1,5}.
D. APPLICATION
Sets are the term used in mathematics which means the collection
of any objects or collection. More scientifically, a set is a collection of well-
defined objects. Apart from their mathematical usage, we use sets in our
daily life like things at home, or in school. Can you share some everyday
life examples of sets?
Let’s Do It This Way:
a. Apart from their Mathematical usage, we use sets in our daily life.
b. Give three (3) everyday life examples of sets and explain briefly
why
you give such an example.
c. Write the answer in your Mathematics notebook.
d. The first given below is your guide.
E. ASSESSMENT
A. Multiple Choice. Directions: Read and answer the questions carefully. Write the
answer in a separate sheet of paper.
1. Which of the following is a well – defined set?
A. The set of big people.
B. The set of happy people.
C. The set of prime numbers.
D. The set of intelligent teachers.
2. Which of the following is a FINITE set?
A. {3, 5, 7, ...}
B. {... , -3, -2, -1, 0, 1, 2 }
C. Set of prime numbers.
D. Set of fractions between 1 and 12.
3. Which of the following pairs of sets given below are equal?
A. Y = {a, b, c}
Z = {7, 9, 10}
B. T = {algebra, geometry, trigonometry}
V = {geometry, trigonometry, algebra}
C. W = {grapes, apples, oranges}
X = {grapes, peaches, apples, oranges}
D. R is the set of letters in the world bank.
S is the set of letters in the word post.
4. How will you write the given set below in the roster form? P is the set of vowels
used in the word “MONDAY”.
A. {o, a}
B. {o, a, y}
C. {m, n, d, y}
D. {m, o, n, d, a, y}
5. What is the cardinality of P = the set of English names for the days in a week?
A. 5 B. 6 C. 7 D. 8
B. List all the elements on the universal set for the following sets
1. A = { a, b, c, d, e}
B = { a, e, i, o, u}
U = ___________________________
2. C= { letters of the word novel}
D = { letters of the word corona}
E = { letters of the word virus}
U = ____________________________
3. F = { 2, 4, 6, 8, 10}
G = {1, 3, 5, 7, 9}
U = ____________________________
4. H = { N95 mask, gloves, goggles}
I = {gowns, aprons, face visors}
U = _______________________
5. J= {set of prime numbers less than 10}
K = { set of even numbers less than 10}
U = _______________________________
F. ASSIGNMENT
Activity Title: SOLVE PROBLEMS INVOLVING SETS USING VENN DIAGRAM
Objective: Use Venn diagrams to illustrate sets, subsets and set operations.
Materials: Answer sheet and ballpen
Let’s Do It This Way:
1. Shade the Venn diagram to show the relationships of the sets.
2. Write the answer on your answer sheet.
Prepared by:
MAITA P. LUENGAS
Subject Teacher
Checked by:
JONATHAN L. AMBEL, Ed.D(CAR)
Principal – II
Enclosure 1: Activity Sheets
Activity 1. Identify ME!
Let’s Find Out: Identify the given below.
Let’s Use These Materials: Mathematics notebook and ballpen
Let’s Do It This Way:
a. What comes into your mind when you hear about the following
words?
1. library
2. Kpop
3. social media
The above words are examples of a group.
b. Can you think of your examples of a group and its members? The
first one has been done for you. Write the answer in your
Mathematics notebook.
Activity 2. Are you Positive or Not?
Draw “+” on the space provided before each item if the given set is a subset
of A. If it is not then draw “-“.
Given: A = { c,o,r,o,n,a,v,i,r,u,s,o,u,t,b,r,e,a,k}
_______1. {c, r, n, v, s, t, k}
_______2. {a, e, i, o, u}
_______3. {set of all consonants in the alphabet}
_______4. {x/ x is a vowel in the alphabet}
_______5. {set of even numbers}
_______6. {set of odd numbers}
_______7. {alcohol, sanitizer, soap}
_______8. {USA, China, Italy, Japan, Philippines}
_______9. {a, b, c, d, e}
_______10. {u, v, w, x, y, z
Activity 3. Solve ME!
Let’s Find Out: Finite or Infinite, Set Notations and Symbols, Cardinality of
Sets and Subsets
Let’s Use These Materials: Mathematics notebook and ballpen
Let’s Do It This Way:
a. This exercise is divided into three parts. Answer what is asked.
b. Write the answer in your Mathematics notebook.
I. State whether the given set is FINITE or INFINITE. The first one is done for
you.
{2, 4, 6, 8, ... 20} - FINITE
1. {0}
2. {3, 5, 7, ... }
3. {x I x is a prime number}
4. Set of fractions between 1 and 2.
5. {x I x is a whole number greater than 100}
II. Supply the appropriate set notation and symbol to make the statement
correct. Choose from the given choices besides the given. The first one is
done
for you.
5 __ {1, 2, 3, 4, 5} 5 ∈ { 1, 2, 3, 4, 5}
1. {o, n, e} __ {n, e, o} ∈ = ≈
2. {2, 4} __ {2, 4, 6} ∈ ⊆ =
3. red __ {pink, green, purple} ⊆ = ∉
4. {a, b, c, d} __ {a, b, c, d} ∉ ⊆ ⊂
5. {1, 2, 3} __ {a, e, i } ∈ = ≈
III. Identify the cardinality of the given set below and list its subsets. The
first one is done for you.
M = {1, 2}
Cardinality: n(M ) = 2
Subsets: 2
n = 22 = 4
The complete list of subsets: { }, { 1 }, { 2 }, { 1, 2 }
1. Y = {a, e, i}
2. G = {x I x is a whole number between 7 and 12 }
