A Semi-Detailed Lesson Plan in Mathematics (Grade-level)
Kathy D. Fernandez 1:00-2:00 pm
Name of Student
Mr. John Oliver A. Cabaral, LPT June 16, 2021
Name of Teacher Date
I. Objectives:
at the end of the lesson, the pupils are expected to:
A. identify and illustrate the operation of a set
B. distinguish the parts of operation of a set
C. demonstrate the operation of a set
II. Subject Matter
Topic: Operation of a set
References: Mathematics Grade 7
Materials: visual aid, scissor, paper, ballpen
Values integration: Collaboration, Creative, Analytic
III. Procedure
A. Preliminary Activities
1. prayer
2. Greetings
3. energizer
4. checking of attendance
5. Recall of classroom rules
B. Developmental activities
1.Drill
Encircle the letter of an object that does not belong to the set.
1.)
A. B. C. D.
2.) A. B. C. D.
3.) A B. C. D.
4.)
A. B. C. D.
5.
A. B. C. D.
2.Review
How do we identify the object that does not belong to the set?
we can identify the object that does not belong to the set if it is not related and well defined.
Well defined means that is a member of the set of the elements.
again what is set?
a set is a collection of things or objects.
As you can see in the picture
It has a different kinds of flowers and that is called a set of a flowers.
C. Motivation
What are the operation of sets?
How do we solve the operation of sets?
How do we illustrate the operation of a set?
D. Activity
Find the intersection of a set and illustrate using the Veen diagram.
Example
Let A= (5,2,1,6) and B= (4,5,1,6)
Answer: A∩B= (5,1,6)
A B
2 5
1
4
6
6
answer:
1.) let A= (4,5,6,7,8) and B= (3,4,5,6,9)
Answer=?
A B
Find the union sets and illustrate using Venn diagram.
Example
Let A= (1,2,5,6) and B= (1,3,4,5,)
Answer= (1,2,3,4,5,6)
A B
2 5 3
6 1 4
Answer.
2.) let A= (1,2,3.4,5), B= (1,6,7,8), C= (9,3,5,6) and D= (3,6,9,1,5,8)
AUB=?
A B
Find the complement of a set and illustrate using Veen diagram.
Example
Universal or U= (1,2,3,4,5,6,7,8)
A= (1,2,3)
B= (6,7,8)
C=?
A= (4,5,6,7,8)
7
U A
1
2 3
4 5
5
8
6
B= (1,2,3,4,5,)
U
1
B 6
2 7
4
3 8 5
C.= (1,2,3,4,5,6,7,8)
U 5
1 C 6
2 7
3 4 8
3.) answer:
Universal or U= (3,2,4,6,8,10,)
A= (6,8,10)
B= (4)
C= (3,2)
A=?
U A
B=?
U
B
C= ?
U
C
Find the difference of two sets.
Example
A= (1,3,5,6)
B= (3,4,6)
Answer:
1. A-B= (1,5)
2. B-A= (4)
4.) answer this.
1. A= (2,4,6,7)
2. B= (4,5.7)
1. A-B=?
2, B-A=?
E. Analysis
What did we do in our activity?
Correct we solve and illustrate using the Venn diagram about the operation of a sets.
What are the operation of a sets?
1. Intersection- the intersection of sets A and B, written A⋂B, is the set containing the elements
that are in both A and B.
2. Union- the union of sets A and B, written A⋃B, is the set of all the elements that are in both A
and B.
3. Complement- the complement of a set A, written A’, is the set of elements in the universal set
that
are not in A.
4. Difference pf two sets- means all elements which are in A but not in B.
How do we solve and illustrate the operation of a set?
For example
1. find the intersection of a set.
to find the intersection of two given sets A and B is a set which consists of all the elements
which are common to both A and B.
Let A= (5,2,1,6) and B= (4,5,1,6)
Answer: A∩B= (5,1,6)
therefore the common elements of A and B is A∩B= (5,1,6)
Illustrate intersection using Veen diagram.
A intersect to B
The elements that is in common to both A and B.
A∩B
The overlapping region of two circles represents the intersection of the two sets.
A= (5,2,1,6) B= (4,5,1,6)
A B
2 5
1
4
6
6
2. Find the union set.
To find the union set is the set of all the elements that are in both A and B.
Example
Let A= (1,2,5,6) and B= (1,3,4,5,)
Answer= A∪B (1,2,3,4,5,6)
therefore the elements in both A and B is A∪B (1,2,3,4,5,6)
illustrate Union set using Veen diagram.
A Union B
Elements that belong to both A and B.
A∪B
A B
Two circles together represent the union of the two sets
A= (1,2,5,6) B= (1,3,4,5,)
A B
2 5 3
6 1 4
3. Find the complement of a set.
To find a complement of set A contains the elements present in universal set but not in set C.
A complement
Elements that don’t belong to A or Universal.
Example
Universal or U= (1,2,3,4,5,6,7,8)
A=. (1,2,3)
B= (6,7,8)
C=?
Answer:
A= (4,5,6,7,8) - not in A but in universal
B= (1,2,3,4,5)- not B but in universal
C= (1,2,3,4,5,6,7,8)- not in C but in universal
Illustrate using Veen diagram.
A= (4,5,6,7,8)
7
U A
1
2 3
4 5
5
8
6
B= (1,2,3,4,5,)
U
1
B 6
2 7
4
3 8 5
C.= (1,2,3,4,5,6,7,8)
U 5
1 C 6
2 7
3 4 8
4. Find the difference of two sets.
to find the difference A - B of these two sets, we begin by writing all of the elements of A, and
then take away every element of A that is also an element of B.
Example
A= (1,3,5,6)
B= (3,4,6)
C= (2,4,6)
D-(3,5,6)
Answer:
1. A-B= (1,5)
2. B-A= (4)
F. Abstraction
In solving operation of sets we have to follow the steps.
1. find the given of the operation of a set.
2. illustrate the operation of sets using Venn diagram.
G. Application
Since you already know how to solve the operation of a sets, let's have a group activity
each group must have one representative and will going to demonstrate in front.
Group 1-
find the intersection of a set using Veen diagram
Let A= (5,1,2,3,4,5,6,8,9) and B= (4,2,3,1,7,6,5,9,10)
Group 2-
find the union sets using the Veen diagram.
Let A= (1,3,2,4,5,7,6,8,9,) and B= (2,4,3,5,8,7,9,10)
Group 3-
Find the complement of a sets using Veen diagram.
U= (1,2,3,4,5,6,7,8,9,10,11,12)
A= (1,2,3)
B= (7,6,5,4,)
C= (8,9,10,11,12)
Group 4-
find the difference of two sets.
A= (3,1,5,9,8,4)
B= (4,2,5,10,8)
C= (6,3,5,8,9,4,2,)
D= (2,4,2,6,9,8,5)
H. Generalization
The students will learn on how to solve and illustrate about the given operation of a set.
IV. Evaluation
Find the union of a set.
1.) let A= (1,4,3,2,7,8) and B= (6,2,8,4,7,2,9,1,3)
A ⋃ B=?
2.) let A.= (2,9,6,1,4,8) and B= (7,3,9,1,6,48)
A ⋃ B=?
3.) let A= (8,3,6,2,) and B= (7,2,3,8,4,5)
A ⋃ B=?
4.) let A= (10,8,3,6,7) and B= (3,8,7,9,4,6,3)
A ⋃ B=?
5.) let A= (2,6,7,3,8,9,4,10) and B= (7,3,8,4,9,2,10,1,5)
A ⋃ B=?
V. Assignment
Find the intersection of a set and illustrate using Venn diagram.
1.) Let A=(5,3,4,3,2) and B=(5,6,4,3,7)
A∩B=?
A B
