This document outlines a detailed lesson plan for teaching set operations in math to 7th grade students. The objectives are to identify sets, describe and illustrate different set operations like union, intersection, complement, and difference using examples. Students will perform set operations and use Venn diagrams to represent union and intersection of sets. The lesson begins with an introductory activity to classify pictures of animals into sets of carnivores, herbivores and omnivores. Key concepts of set operations like union, intersection, complement and difference are then explained using examples and Venn diagrams. Students practice identifying sets and performing operations on example sets. The lesson concludes by having students generalize their understanding and apply the concepts through additional exercises
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grade-7 (1).docx
1. Detailed Lesson Plan in Math
(Grade 7)
I. OBJECTIVES
Learning
Competencies/
Objectives
MELC: Identify the Set operations
Describe and illustrate:
a. Sets;
Union of sets
Intersection of sets
Complement of a set
Difference between sets/Relative Complement
2. Perform the different set operations.
3. Use Venn diagrams to represent the union and intersection of sets.
II. CONTENT Identifying Sets and use Venn diagrams
III. LEARNING
RESOURCES
A. References Department of Education Mathematics –Grade 7 Learner’s Material First Edition, 2013
ISBN: 978-971-9990-60-4
Quarter 1.
B. Learning Code
C. Instructional
Materials
Cartolina, Manila paper, marker
IV. PROCEDURES Teacher’s Activity
A. Preparatory Activities
Prayer
May I request everybody to please stand.
Diane, kindly lead the prayer.
Greetings
Good morning, class!
How are you today?
Checking of Attendance
Who are absent today?
Class Secretary, please list down the names of
those students who are absent today. Give it to
me after the class.
Setting of Standards
Student’s Activity
Let us bow down are heads and
pray:
Father God,
Come be with us today. Fill our
hearts with joy. Fill our minds
with learning. Fill our classroom
with peace. Fill our lesson with
fun. Fill our friendships with
kindness. Fill our school with
love. These we ask in Jesus’
Name we pray, Amen.
Good morning, Sir
We are fine, sir
Yes, Sir
2. Class, before we start, pick up pieces of papers
and cellophanes . Arrange your chairs and sit
properly. This time I also want you to be
acquainted with our classroom rules.
1. Keep quiet unless you are asked to speak.
2. Do not do unnecessary things that might
distract the class.
3. Respect each other.
4. Actively participate in the class.
Am I understood class? Yes Sir
A. Reviewing
previous lessonor
presenting the new
lesson
As we all know that this is our first discussion in
our first quarter, So, before we proceed to our
first discussion lets have an activity.
Who would like an activity?
Are you excited class?
C. Motivation
Now, we will start our new lesson with a game.
You will be grouped into two. Choose one
representative from your group to take part in
our game
“Buzzerbeater”
Thisgame is like afamilyfeud
I will divideyou intotwogroups.
Group 1 ison the right side andgroup 2 is on the
leftside .
points 10
points
20
points
30
points
50
points
rules No
coachin
g
Silence
of the
team
The
answer
of the
group
Total
points
The mechanicsof thisgame whoeverpopup first
the balloonhave chance to answerthe showed
picture fromthe box.Afteryouanswered,youhave
to put the picture onthe boardof where itbelongs
whetheritisherbivores,carnivoresoraomnivoresif
isright.If youhave the wronganswer, the teamhas
a chance to answerthe picture thatwas showed.
The rubrics of thisis no coaching,onlythe rightful
personhasthe rightto answer whoevercaught has
a minuspoints.
Us Sir,
Yes, Sir
3. No coaching-10points
Silence of the team-20points
The answerof the group-20 points
Total-50 points
A group that have a lotof pointshasa rewardof
gettinga additional 20pointsonthe quizandalso
the chocolate that I Bringtoday.
Below are some objects.
Carnivores
Carnivores
Herbivores
Herbivores
Herbivores
5. Since the group one got the highest score, let us
give them a “Congratulations clap”.
Now class, look at the pictures and the answers
Carnivores
Omnivores
Herbivores
1 2 3!
1 2 3!
Very Good!
I have observed that these
pictures only shows the group of
animals that belong to its eating
habit of food.
6. we’ve got. What have you observed on these?
Yes Glenn?
That is a great observation, Glenn. Who else
would like to share his/her own observation?
Yes, Radel?
That is right, ?These photos are indeed belong to
its natural of eating food and they were
classified of where they are belong to whether
they are belong to omnivores, herbivores and
carnivores.
Yes, Sir! Observe that the
animals are divided into 3 the
omnivores,herbivores and the
carnivores
B. Establishing a
purpose for the
lesson
Presentation of Learning Objectives
Be active and participative for in this topic you
are going to, everybody, please read.
Describe and illustrate:
1. Sets;
a. universal set;
b. union of sets, and;
c. intersection of sets.
2. Perform the different
set operations.
3. Use Venn diagrams to
represent the union and
intersection of sets.
C. Presenting
examples/instances
of the new lesson
Unlocking of Difficulties
In connection to the game we had a while ago,
let us answer this activity
But before we proceed to our discussion please
answer the following set of operation of where it
belong. And match the following .
A. B.
1. Place a. (rose,sampaguita)
2.Animals b. (Davao,Tagum,Butuan)
3. Flowers c.( lion,dog,cat,rabbit)
a
c.
a
7. 4.Planet d.(mercury,earth) d.
D. Discussing new
concepts and
practicing new skills
#1
F. Presentation of the Discussion
Set operations
- is a concept similar to fundamental operations on numbers. Sets
in math deal with a finite collection of objects, be it numbers,
alphabets, or any real-world objects. Sometimes a necessity arises
wherein we need to establish the relationship between two or more
sets.
A set is defined as a collection of objects. Each object inside a set
is called an 'Element'. A set can be represented in three forms. They
are statement form, roster form, and set builder notation. Set
operations are the operations that are applied on two or more sets to
develop a relationship between them. There are four main kind
s of set operations which are as follows.
Union of sets
Intersection of sets
Complement of a set
Difference between sets/Relative Complement
Venn Diagram
Basic Set Operations
Union of Sets
For two given sets A and B, A∪B (read as A union B) is the set of
distinct elements that belong to set A and set B or both. The number
of elements in A ∪ B is given by n(A∪B) = n(A) + n(B) − n(A∩B), where
n(X) is the number of elements in set X. To understand this set
operation of the union of sets better, let us consider an example:
If A = {1, 2, 3, 4} and B = {4, 5, 6, 7}, then the union of A and B is
given by A ∪ B = {1, 2, 3, 4, 5, 6, 7}.
Intersection of Sets
For two given sets A and B, A∩B (read as A intersection B) is the set
of common elements that belong to set A and B. The number of
elements in A∩B is given by n(A∩B) = n(A)+n(B)−n(A∪B), where n(X)
vv
A B
U
8. is the number of elements in set X. To understand this set operation
of the intersection of sets better,
let us consider an example:
If A = {1, 2, 3, 4} and B = {3, 4, 5, 7}, then the intersection of A and B
is given by A ∩ B = {3, 4}.
Set Difference
The set operation difference between sets implies subtracting the
elements from a set which is similar to the concept of the difference
between numbers. The difference between sets A and set B denoted
as A − B lists all the elements that are in set A but not in set B. To
understand this set operation of set difference better, let us consider
an example:
If A = {1, 2, 3, 4} and B = {3, 4, 5, 7}, then the difference between
sets A and B is given by A - B = {1, 2}.
Complement of Sets
The complement of a set A denoted as A′ or Ac (read as A
complement) is defined as the set of all the elements in the given
universal set(U) that are not present in set A. To understand this set
operation of complement of sets better, let us consider an example:
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {1, 2, 3, 4}, then the
complement of set A is given by A' = {5, 6, 7, 8, 9}.
When the elements of one set B completely lie in the other set A,
then B is said to be a proper subset of A. When two sets have no
elements in common, then they are said to be disjoint sets. Now, let
9. us explore the properties of the set operations.
G. Comprehension Check-up
What is the set operations all about, class?
That is right!
Let us answer the questions posed in
the opening activity.
1.How many sets are there?
2.Does each object belong to a set?
3.Is there an object that belongs to
more than one set? Which ones are
these?
Very Good!
Set operations is a concept
similar to fundamental
operations on numbers. Sets
in math deal with a finite
collection of objects, be it
numbers, alphabets, or any
real-world objects. Sometimes
a necessity arises wherein we
need to establish the
relationship between two or
more sets.
There is the set of animals
which is carnivores,
herbivores and omnivores.
Yes
All the Animals are
classified were belong to
the respective set of
carnivores , herbivores and
omnivores.
E. Discussing new
concepts and
practicing new skills
#2
Now class, I want you to carefully observe the
set of operations and its example. What did
you observe
Yes, Alcano? As I have observed Sir I see that
the set was consist of elements
just like what you give example
earlier.
10. Very good observation, Alcano! Indeed, is a
well-defined group of objects, called
elements that share a common
characteristic .
Can you give an example of sets that consist of
an elements.
Yes Ramon?
Very Good Ramon.
Who can give another example?
Yes Poye?
Very good !
Okay I’ll give an example on the board and
identify the Union and Intersection sets
U= {lion, cat dog,tiger,rabbit,
horse,cow,carabao,hen, zebra, }
A={lion, tiger, dog,cat, ,hen}
B={dog, hen,rabbit,horse ,zebra}
1.AUB=
Very good!
2 A∩B=
Very Good!
How we draw this into a Venn Diagram
Example Sir is a Set of School
Supplies with elements of pencil,
paper, notebooks and pen.
A set of Birds Sir with the
elements of eagle, crow and
falcon.
AUB={lion,tiger,dog,cat,zebra,he
n,rabbit,horse,zebra)
A∩B={ hen,dog}
vv
B
A
U lion,
tiger,
dog,cat, ,
hen
dog,
hen,rabbit,
horse
,zebra, ,
hen
dog,
hen
11. F. Developing
Mastery
From the our discussion who can give an
example of Sets.
Yes?
Okay thank you?
Who can answer that example by getting the
union of sets and intersection of sets?
Yes?
Very Good!
Let’s give hands to Ramon and Glenn. Very
good,! You’ve the correct answer
Very well s! Let’s give ourselves a round of
applause everyone!
Example Sir is A={1,2,4,5}
B={1,2,3,5,6}
AUB={1,2,3,4,5,6}
A∩B={1,2,5)
G. Practical
Application of
Concepts
Now, let us have another activity
Same group.
Instruction: Answer the following by getting the
Union of sets and Intersection of set and make a
Venn diagram
A={ 1,2,4,5,6,7,8}
B={2,3,4,5,6,8}
C={3,5,6,7,9}
1.AUB=
2. A∩C=
3.AUC=
4.AUBUC=
5.A∩B∩C=
Standard:
Participation=10
Teamwork=20
12. Collaboration=20
TOTAL= 50
H. Making
generalizations and
abstractions about
the lesson
Generalization
What did you learn about Set of Operation?
Yes Ramon?
That’s right, Ramon.
What else?
Yes Joshua?
Very good! Indeed. What you said is true.
You see a set of operations is Set operations
is a concept similar to fundamental
operations on numbers. Sets in math deal
with a finite collection of objects, be it
numbers, alphabets, or any real-world
objects. Sometimes a necessity arises
wherein we need to establish the
relationship between two or more sets.
In connected of what you said in real life
situation. It is factual that us an element
we want to go to a set of people who are
good influence, or a group we can be us, or
a group where we can express ourselves or
a group of people who are ambitious.
But most important thing is we have the
control to our life and must think what
kind of set of group we would like to go that
has a good potential to help us to achieve
our dreams for the future.
Set operations is a concept
similar to fundamental
operations on numbers. Sets
in math deal with a finite
collection of objects, be it
numbers, alphabets, or any
real-world objects.
Sometimesa necessity arises
wherein we need to establish
the relationshipbetween two
or more sets.
For me Sir. Is like a set
is a group of elements that has
same characteristics. Just like us
we want to be in a group of
friend with the same common
interest and habits or we want to
be in the where we could share
and accepted.
Yes Sir.
13. Understood class!
I. Evaluating
learning Instruction: Answer the following by getting the Union of sets and Intersection of
set and make a Venn diagram
Let the universe be the set U={1,2,3
,4,5,6,7,8,9}.
Let
A = {0, 1, 2, 3, 4}
B = {0, 2, 4, 6, 8}
C = {1, 3, 5, 7, 9}
1.AUB=
2.A∩B=
3.AUC=
4.A∩C=
5. AUBUC=
Ans : 1. {0,1,2,3,4,6,8} 2. {0,2,3,4} 3. {0,1,2,3,4,5,7,9} 4. {1,3,} 5.
{0,1,2,3,4,5,6,7,8,9}
V. ASSIGNMENT Directions: Make an example of sets of operation using the Union of sets and
intersection of Sets. Make a Venn diagram about it.
Prepared by:
Armando C. Licanda
0, 1,
2, 3,
4
U
A B
C
0, 2, 4,
6, 8
1, 3, 5,
7, 9
1,3
0,2,3,4