BICOL UNIVERSITY POLANGUI
Polangui, Albay
Teacher Education Department
MATH ED: 14
LINEAR
ALGEBRA
DETAILED LESSON PLAN
SCHOOL: GRADE LEVEL: 7
TEACHER: LEARNING AREA:
TEACHING DATE: QUARTER 1-WEEK 1- M7NS-Ia-1 & M7NS-Ia-2
DETAILED LESSON PLAN
I. OBJECTIVES
A. CONTENT The learners demonstrate understanding of concepts of sets
STANDARD by identifying and defining sets and their elements.
B. PERFORMANCE The learners will be able to recognize and identify sets,
STANDARD including understanding the elements within a set and
distinguishing them from other mathematical objects or
collections.
C. LEARNING The learner illustrates well-defined sets, subsets, universal
COMPETENCY/ sets, null set, cardinality of sets, union and intersection of
OBJECTIVES (LC sets and the difference of two sets.
CODE)
D. SPECIFIC a. Identify well-defined sets
OBJECTIVES b. Analyze and apply set operations
c. Analyze real-world scenarios using set theory.
II. CONTENT Sets, Subsets, Universal Sets, Null Set, Cardinality of Sets,
Union and Intersection of Sets and the Difference of two sets.
III. LEARNING RESOURCES
A. REFERENCES K-to-12 Basic Curriculum, Math 7 Teaching Guide
B. LEARNER’S Mathematics Grade 7 LAS
MATERIAL
C. OTHER LEARNING Power point Presentation/ Visual Aid
RESOURCES
IV. PROCEDURES TEACHER’S ACTIVITY STUDENT’S ACTIVITY
A. PRELIMINARY Good Morning Class. POSSIBLE
ACTIVITIES RESPONSE:
GREETINGS Please Stand, Arrange your chairs Good morning ma’am.
PRAYER and pick up trashes around you and
CHECKING OF Let us prepare to Pray. (the students will do
ATTENDANCE what the teacher says)
May I ask someone to lead the
prayer. (One student will lead
the prayer)
PRAYER:
Our Father, who art in heaven,
(Prayer)
hallowed be thy name; thy kingdom
come; thy will be done; on earth as Amen.
it is in heaven. Give us this day our
daily bread. And forgive us our
trespasses, as we forgive those
who trespass against us. And lead
us not into temptation; but deliver
us from evil.
Amen.
Let me check first the attendance.
Say “Present when your name was
called”.
Present.
B. REVIEWING PREVIOUS Before we start our discussion, let’s POSSIBLE ANSWER:
LESSON have a review first about our past
topics. The last topic we
covered before sets
Who can summarize the lesson was about number
systems. We learned
that we have discussed last
about different types
meeting? of numbers and how
they are represented.
Whole numbers were
the starting point for
counting and
representing whole
quantities. Then, we
moved on to integers,
which include
negative numbers and
zero, helping us
express gains, losses,
and positions. After
that, we explored
rational numbers,
which can be written
as fractions, including
decimals that either
terminate or repeat.
We also discussed
irrational numbers,
which can't be
expressed as
fractions or repeating
decimals. Lastly, we
studied real numbers,
encompassing both
rational and irrational
numbers on the
number line. We
practiced performing
basic operations like
addition, subtraction,
multiplication, and
division with these
numbers and
understanding their
properties. This
foundational
knowledge sets the
stage for learning
about sets and their
elements.
C. PRESENTING Very Good Class. It seems that you ANSWERS:
EXAMPLES/ INTANCES have learned from our previous
OF NEW LESSON discussion. Now, since you already
have knowledge, we will proceed to
our next topic.
Motivational Activity: SET IT UP!
1. S
1. All fruits in a basket.
2. A stack of books. 2. NS
3. The numbers 1,2,3,4, and 5. 3. S
4. The colors of the rainbow. 4. S
5. The vowels in the English 5. S
alphabet. 6. NS
6. A mixed bag of marbles. 7. S
7. The letters in your first name.
8. S
8. All even numbers.
9. The students in your class. 9. S
10. The leaves on a tree. 10. NS
D. DISCUSSING NEW AND 1. A set is a well-defined groups
IMPORTANT CONCEPTS 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 subject 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 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 a 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 (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}
E.DEVELOPING MASTERY Activity 2: Subset or Not: Test Your
Set Knowledge!
Write YES on the space provided
before each item if the given set is a
subset of A. if it is not the write NO.
Given: A =
{b,i,c,o,l,u,n,i,v,e,r,s,i,t,y,p,o,l,a,n,g,u,i} ANSWERS:
_____1. {a,e,i,o,u}
_____2. {set of all consonants in the 1. Yes
alphabet} 2. No
_____3. {set of even numbers} 3. No
_____4. {set of odd numbers} 4. No
_____5. {Bicol University Satellite 5. No
Campuses} 6. No
_____6. {b,u,e,ñ,o} 7. Yes
_____7. {b,c,l,n,v,r,s,t,y,p,g} 8. No
_____8. {nursing, education, 9. No
engineering, IT, comsci} 10. No
_____9. {w,x,y,z}
_____10. {a,b,c,d,e,f,g,h,i}
Activity 3: UNIVERSAL IT IS!
A.List all the elements on the
universal set for the following sets.
1. A = {b,i,c,o,l}
B = {u,n,i,v,e,r,s,i,t,y}
C = {p,o,l,a,n,g,u,i}
U =___________________________ U=
2. A = {a,b,c,d,e} {b,i,c,o,l,u,n,v,e,r,s,t,y,p,a,g}
B = {a,e,i,o,u}
U =___________________________ U= {a,e,i,o,u,b,c,d}
3. A = {2,4,6,8,10} U= {1,2,3,4,5,6,7,8,9,10}
B = {1,3,5,7,9}
U =___________________________ U= {b,e,a,u,t,i,f,l,p,r,y}
4. A = {letters of the word U= {education,
BEAUTIFUL} engineering, criminology,
B = {letters of the word PRETTY} nursing, business,
U =___________________________ architecture, accountancy,
humanities}
5. A = {education, engineering,
criminology, nursing}
B = {business, architecture,
accountancy, humanities}
U =___________________________
F. MAKING Have you learned something today? POSSIBLE ANSWER:
GENERALIZATIONS AND
ABSTRACTIONS Give me a quick summary of what Yes.
have you learned today.
In today's lesson on sets,
we covered various
important concepts. We
learned that a set is a
collection of distinct
elements and can be
represented using set
notation. We discussed
operations such as union
and intersection, which
combine or find common
elements among sets.
Additionally, we explored
subsets and their
relationship to sets, as
well as the idea of
cardinality, which
represents the number of
elements in a set.
Overall, this lesson
provided a
comprehensive overview
of sets and their
properties, setting the
stage for further
exploration in this subject
area.
G. EVALUATING Activity 4: WHAT AM I? ANSWERS:
LEARNING 1. What is the cardinality of a set?
A) The number of elements in a set
B) A set with no elements 1. A
C) The process of adding elements to a set 2. C
D) A set with only one element 3. A
4. A
2. Which of the following represents the null set? 5. C
A) {1, 2, 3} 6. A
B) {5, 10, 15} 7. A
C) { } 8. A
D) {0} 9. C
10. B
3. If set A = {1, 2, 3} and set B = {2, 3, 4}, what is 11. A
the difference between set A and set B? 12. B
A) {1, 2, 3} 13. B
B) {1, 4} 14. C
C) {2, 3, 4} 15. D
D) { }
4. What is the cardinality of the empty set?
A) 0
B) 1
C) Undefined
D) Infinite
5. If set A = {1, 2, 3, 4} and set B = {3, 4, 5}, what
is the difference between set B and set A?
A) {1, 2}
B) {3, 4}
C) {5}
D) { }
6. Which of the following represents the null set
symbol?
A) ∅
B) Ω
C) ⊂
D) ∩
7. What is the cardinality of a set with no
elements?
A) 0
B) 1
C) ∅
D) Undefined
8. If set A = {1, 2, 3, 4, 5} and set B = {4, 5, 6, 7},
what is the difference between set A and set B?
A) {1, 2, 3}
B) {4, 5, 6, 7}
C) {6, 7}
D) { }
9. Which of the following is an example of a null
set?
A) {10}
B) {1, 2, 3}
C) { }
D) {0, 1, 2, 3}
10. What is the cardinality of a set with one
element?
A) 0
B) 1
C) ∅
D) Undefined
11. What is the union of sets A = {1, 2, 3} and B
= {2, 3, 4}?
A) A = {1, 2, 3, 4}
B) A = {1, 2, 3}
C) A = {2, 3, 4}
D) A = {1, 4}
12. What is the intersection of sets A = {1, 2, 3}
and B = {2, 3, 4}?
A) A = {1}
B) A = {2, 3}
C) A = {2}
D) A = {2, 3, 4}
13. Which operation combines elements that are
common to both sets?
A) Union
B) Intersection
C) Difference
D) Symmetric Difference
14. What will be the result of the union of the
empty set (∅ ) with any other set?
A) An empty set.
B) The other set remains unchanged.
C) The other set becomes an empty set.
D) The other set gets doubled.
15. If A ∩ B = ∅ , what can we say about the
relationship between sets A and B?
A) There is no relationship.
B) A is a subset of B.
C) B is a subset of A.
D) A and B are disjoint sets.
H. ASSIGNMENT Create a Refection Paper, in a creative way, (ANSWER MAY
about our discussion for today by answering VARY)
the following questions:
1. What have you learned from the
discussion?
2. Why is it important to understand the
topic?
3. How can you apply the knowledge you
gain today in your daily life?
V. RUBRICS
RUBRIC FOR GROUP ACTIVITY
POINTS INDICATORS
5
Shows eagerness and cooperation to do the task,
participation actively, do greatly to the group.
4
Shows eagerness and cooperation to do the task,
good followers only
3 Participation but late, with teacher’s supervision
2
Activity was done but not shows eagerness to
participate or cooperate
No interest in participating the activities.
1
CRITERIA FOR REFLECTION PAPER
❑ Content- 40%
❑ Creativity- 20%
❑ Organization- 15%
❑ Originality- 25% TOTAL- 100%
VI. REFLECTION
A. No. of learners who earned 80% in the evaluation
B. No. of learners who require additional activities for remediation
who scored below 80 %
C. Did the remedial lessons work? No. of learners who have caught
up with the lesson
D. No. of learners who continue to require remediation
E. Which of my teaching strategies worked well? Why did these
work?
F. What difficulties did I encounter which my principal or supervisor
can help me solve?
G. What innovation or localized materials did I use/discover which I
wish to share with other teachers?
PREPARED BY:
ANGEL LYN B. CORNEL
BSEd Math 3
