SAN LUIS LUMAD COMMUNITY HIGH SCHOOL INC.
Poblacion, San Luis, Agusan del Sur
Government Recognition No. 013, S. 2000
Dep.Ed School ID # 405947
MODULE 1
Lesson 1.2
Part 3: Union and
Intersection of Set
MATHEMATICS I
Phase 1/Grade 7
First Quarter
Prepared by:
Ms. Sarah C. Agunat
Together with:
Sr. Irene S. Caharian,m.a.
Ms. Mawalik Vina Bugtay
____________________
Name of the Student
1|Page
TABLE OF CONTENTS
I.
Student’s Guide
II.
Introduction
____________________________4
III.
Objectives
____________________________4
IV.
Lesson and Activities
Activity 1
________________________3
____________________________4
Discussion: Activity 2
_________________ 4-5
Input/ Lesson Proper
__________________5-6
Activity 3
_________________ 6
Deepening
________________ 6
Synthesis: Activity 4
_________________ 7
Activity 5
__________________ 7
V.
References
________________________ 7
VI.
ASSESSMWNT _____________________________ 8
2|Page
STUDENT’S GUIDE
1. This module is recommended for 1 week study time.
2. This is a self- paced module, you can accomplish this on your own
pace but it is recommended that you spend 30 minutes everyday
working on this module.
3. This module has several components.
a) Introduction: This contains the overview of the module.
b) Learning Objectives: These are the goals of the module
which you need to accomplish. They are packaged into
skills and knowledge that you need to acquire.
c) Activities: This section contains all the lessons and task
you need to do for the module.
d) Assessment: This contains tasks and/ or tests to measure
your learning.
e) Reflection: To evaluate your learning process, you will be
asked to reflect on your learning process.
f) Bibliography/ References: This section contains the
resources used on this module.
4. You may contact your subject teacher or school principal for this
module from Monday to Friday (8:30 -11:30 a.m.; 1:30-4:30 p.m.)
Contact Details: 09503684756 ; 09330613937
3|Page
LESSON 1.2 ║
Part 3: Union and Intersection of Set
INTRODUCTION:
Each member of the community or tribe is unique. If two or more tribes
combine to have big celebrations, it is a union of IP tribes.
The last part on the Lesson will show you more what is Union and Intersection of
Sets.
OBJECTIVES:
In this lesson, you are expected to:
1. Recall the sets of languages, tribes, rituals, practices and dances in Part 1 of Lesson 1 ;
2. Identify union and intersection of sets;
3. Illustrate union and intersection of set using Venn diagram;
4. Solve problems involving sets.
ACTIVITY 1
Recall what you learn from Part 1 and Part 2 of the Lesson on Sets in the
context of IP Communities :
Set of IP Language = { IP language }
Set A = { Manobo, Talaandig, Banwaon }
Set B = { Banwaon, Matigsalug }
Set of IP Rituals = { IP Rituals}
Set A = { Pangapog, Pamayas, Uyagdok}
Set B = { Pamayas, Sugodon}
Set of IP practices in Fishing = { IP practices in fishing }
Set A = { Limas, Panikop, Panulo }
Set B = { Panulo, Panaga }
Set of IP dances = {IP Dances }
Set A = {Binaylan, Inamo, Kokat, Binanog, Pamuhag, Dugso }
Set B = {Pangayam, Dugso, Buwa-Buwa }
DISCUSSION:
Activity 2
What have you notice of each group of sets?
4|Page
______________________________________________________________
______________________________________________________________
Is it possible to combine Set of IP Language and Rituals?
What about IP practices in Fishing and Dances?
________________________________________________________
________________________________________________________
Do you have an idea what is Union and Intersection Set ?
________________________________________________________
________________________________________________________
INPUT/Lesson Proper:
What is Union set?
The UNION of two sets is the set of elements which are in either set.
The union is written as A∪ B or “A or B”.
Example 1: Let U = {IP Language in IP Communities}. Find the UNION of A and B?
A = {Manobo, Banwaon, Talaandig}
B = {Banwaon, Matigsalug}
Now find the UNION of A and B
Answer : A U B = {Manobo, Banwaon, Talaandig, Matigsalug}
Note : no need to list Banwaon twice
Example 2:
Let U = {IP Rituals in IP Communities}. Find the UNION of A and B?
A ={Pangapog, Pamayas, Uyagdok}
B = {Uyagdok, Sugodon}
Answer : A U B = ={ Pangapog, Pamayas, Uyagdok, Sugodon}
Note : no need to list Uyagdok twice
Example 3 : Let A = {1, 2, 3} and let B = {3, 4, 5}. Find the UNION of A and B?
Answer: A ∪ B = {1, 2, 3, 4, 5} .
Note : no need to list the 3 twice.
5|Page
What is Intersection set?
The INTERSECTION of two sets is the set of elements which are in both
sets. The symbol for denoting intersection of sets is '∩'.
Example 1 : Let A = {Panubli,Pangigaw,Panglagtang} and B =
{Pamana,Bidjo,Panubli}
The INTERSECTION of A and B, written A ∩ B = {Panubli}.
Example 2: Let A = {1, 2, 3} and B = {3, 4, 5}.
The INTERSECTION of A and B, written A ∩ B = {3}.
Activity 3
Practice:
A.) Let A= {a, b, c, d} and let B = {c, d, e, f, g}
List the elements of the following sets.
1. (A union B) A ∪ B
= ________________
2. (A intersection B) A ∩ B
= _______________
B.) Let A= {Limas, Panikop, Panulo} and let B = {Panulo, Panaga}
List the elements of the following sets.
1. (A union B) A ∪ B
= ________________
2. (A intersection B) A ∩ B
= _______________
DEEPENING:
Each element in a Set is unique(talagsaon, walang kapareha). That is
why every set of IP language, rituals, dances and practices are unique.
How about you? Are you unique?
6|Page
SYNTHESIS:
Activity 4
Problem #1 : Let X, Y and Z be three sets such that:
Set X= { Binanog, Pangayam, Kokat }
Set Y= { Binaylan, Kokat, Pamuhag, Dugso}
Set Z = { Buwa-Buwa, Inamo, Binaylan, Binanog}
Find:
1. X ∪ Y =_________________________
2. X ∩ Y = _________________________
3. Y ∩ Z = _________________________
4. X ∪ Z = _________________________
5. Y ∪ Z = _________________________
Problem #2 :
Set A = {2, 4, 6, 8, 10, 12},
set B = {3, 6, 9, 12, 15}
and set C = {1, 4, 7, 10, 13, 16}.
Find:
1. A ∪ B =_________________________
2. A ∩ B = _________________________
3. B ∩ C = ________________________
4. A ∪ C = _________________________
4. B ∪ C = _________________________
5.
Activity 5 Learnings and Insights !
Do you think your tribe or community is unique? Why?
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
REFERENCES:
Orance, Orlando and Mendoza, Marilyn. RBS Mathematics Series E-Math I .
Sampaloc,Manila:Rex Bookstore, Inc.,2010.
Student’s Guide/Gabay sa Mag-aaral: Kaagapay Teacher Support webinar
www.youtube.com/c/ FrancoNicoloAddun
https://www.mathgoodies.com
https://www.mathsisfun.com/sets/sets-introduction.html
https://www.toppr.com/guides/maths/sets/introduction-to-sets
7|Page
SAN LUIS LUMAD COMMUNITY HIGH SCHOOL INC.
Poblacion, San Luis, Agusan del Sur
Government Recognition No. 013, S. 2000
Dep.Ed School ID # 405947
ASSESSMENT #3 -Lesson 3 (First Grading)
Name: _________________________________________________ Date: _______
Phase: _________________
Score:_______
1. State whether the following are true or false:
a. If A = {5, 6, 7} and B = {6, 8, 10, 12}; then A ∪ B = {5, 6, 7, 8, 10, 12}.
b. If P = {a, b, c} and Q = {b, c, d}; then p intersection Q = {b, c}.
c. Union of two sets is the set of elements which are common to both the
sets.
2. Let A, B and C be three sets such that:
Set A = {2, 4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15} and set
C = {1, 4, 7, 10, 13, 16}.
Find:
a. A ∪ B
b. A ∩ B
d. B ∪ A
c. B ∩ A
e. B ∪ C
3. If A = {1, 3, 7, 9, 10}, B = {2, 5, 7, 8, 9, 10}, C = {0, 1, 3, 10},
D = {2, 4, 6, 8, 10}, E = {negative natural numbers} and F = {0}
Find:
a. A ∪ B
c. C ∪ F
b. E ∪ D
d. C ∪ D
e. B ∪ F
4. If A = {2, 3, 4, 5}, B = {c, d, e, f} and C = {4, 5, 6, 7};
Find:
a. A ∪ B
b. A ∪ C
c. (A ∪ B) ∩ (A
∪ C)
Signed by: ___________________
Parents/Guardians
8|Page