GRADE 7
School
DAILY
LESSON LOG
Teacher
Grade Level 7
Learning Area MATHEMATICS
Teaching Dates and Time
Session 1
Quarter FIRST
Session 2
Session 3
Session 4
I. OBJECTIVES
1. Content Standards
2. Performance Standards
The learner demonstrates understanding of key concepts of sets and the real number system.
The learner is able to formulate challenging situations involving sets and real numbers and solve these in a
variety of strategies.
The learner describes
The learner describes
The learner illustrates
The learner illustrates
3. Learning
well-defined
sets,
well-defined
sets,
the
union
and
the
union
and
Competencies/
subsets, universal sets,
subsets, universal sets,
intersection of sets
intersection of sets
Objectives and the null set and
and the null set and
and the difference of
and the difference of
cardinality of sets.
cardinality of sets.
two sets.
two sets.
(M7NS-Ia-1)
(M7NS-Ia-1)
(M7NS-Ia-2)
(M7NS-Ia-2)
a. Describe well-defined
a. Describe well-defined
a. Describe and define
a. Describe
and
sets, and null set
sets, and null set
union
and
define union and
b. Identify the elements,
b. Identify the elements,
intersection of sets
intersection of sets
subsets
and
subsets
and
b. Find the union /
b. Find the union /
cardinality of a set.
cardinality of a set.
intersection of sets
intersection of sets
c. Appreciate the
c. Appreciate the
c. Use Venn diagrams
c. Use
Venn
importance of sets
importance of sets
to represent the
diagrams
to
.
union
and
represent
the
intersection of sets
union
and
d. Value accumulated
intersection of sets
knowledge
as
d. Value accumulated
means
of
new
knowledge
as
understanding
means of new
understanding
II. CONTENT
Sets: An Introduction
Sets: An Introduction
Union and Intersection
of Sets
Union and Intersection
of Sets
pp. 1 - 7
pp. 1 - 7
pp. 8 – 14
pp. 8 - 14
pp. 1 - 3
pp. 1 - 3
pp. 5 – 8
pp. 5 - 8
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide
pages
2. Learner’s Materials
pages
3. Textbook pages
Patterns
and
Practicalities on G7- Math
pages:
5-10
Gladys
Nievera
4. Additional Materials
from Learning
Resource (LR) portal
https://en.wikipedia.org/wik
i/Set_(mathematics
https://www.google.com.ph
/search?q=favorite+cartoo
n+character&espv=2&biw=
1366&bih=667&source=ln
ms&tbm=isch&sa=X&ved=
0ahUKEwjT5NiU4KHMAh
WDppQ
Patterns
and
Practicalities on G7Math pages: 5-10 Gladys
Nievera
-e-math Work text in
Mathematics 7, pages111 by Orlando Oronce
and Marilyn Mendoza
https://www.mathsisfun.co
m/activity/subsets.html
https://en.wikipedia.org/wi
ki/Set_(mathematics
https://www.google.com.p
h/search?q=favorite+carto
on+character&espv=2&bi
w=1366&bih=667&source
=lnms&tbm=isch&sa=X&v
ed=0ahUKEwjT5NiU4KH
MAhWDppQ
-e-math Work text in
Mathematics 7, pages 68 by Orlando Oronce
and Marilyn Mendoza
-Patterns
and
Practicalities on G7Math
pages:
10-12
Gladys Nievera
-e-math Work text in
Mathematics 7, pages 68 by Orlando Oronce
and Marilyn Mendoza
-Patterns
and
Practicalities on G7Math
pages:
10-12
Gladys Nievera
http://passyworldofmathe
matics.com/venndiagrams-introduction/
https://www.google.com.p
h/search?&biw=1366&bih
=667&tbm=isch&sa=1&q=
PHILIPPINE+PRESIDENT
S&oq=PHILIPPINE+PRES
IDENTS&gs_l=img.3...460
1.15333.0.15961.50.27.0
http://passyworldofmathe
matics.com/venndiagrams-introduction/
https://www.google.com.p
h/search?&biw=1366&bih
=667&tbm=isch&sa=1&q=
PHILIPPINE+PRESIDENT
S&oq=PHILIPPINE+PRES
IDENTS&gs_l=img.3...460
1.15333.0.15961.50.27.0
Grade 7 LCTG by DepEd
B. Other Learning
Resources / Materials Cavite Mathematics, 2016
Powerpoint presentation,
pictures, activity sheets
Grade 7 LCTG by DepEd
Cavite Mathematics, 2016
Powerpoint presentation,
pictures, activity sheets
Grade 7 LCTG by DepEd
Cavite Mathematics, 2016
Powerpoint Presentation,
Venn diagrams, Pictures
Ask the students to find
each set:
Answer the follow-up
questions:
FAVORITE SUBJECTS
Ana and Jay are talking
about their favorite
subjects
Grade 7 LCTG by DepEd
Cavite Mathematics, 2016
Powerpoint Presentation,
Venn diagrams, Pictures
IV. PROCEDURES
A. Reviewing previous
lesson or presenting
the new lesson
Motivation
Below are some famous
characters and places.
Which do you think
does NOT belong in
each group? Why?




TAAL VOLCANO
IMUS CATHEDRAL
PICO DE LORO
SKY RANCH
AMUSEMENT PARK
 BORACAY
1. Odd numbers from 1
to 10
2. Multiples of three
from 1 to 10
3. Even numbers from
1 to 20
Set A
Set B
Students
who likes
ENGLISH
subject
Students
who likes
MATH
subject
Kim
James
James
Marianne
Kath
Luis
Angel
Regine
Luis
Kim
Answer the following
questions:
1. Who among the
students
preferred
English? Give the
set.
2. Who among the
students
preferred
Math? Give the set.
3. Who among them
preferred
both
1. If we will combine all
their favorite subjects,
what are they?
2. Is there a subject that
they both like? What is
this?
3. Do you have your
favorite subjects too?
B. Establishing a
purpose for the
lesson
Ask the students to look at
the objects below and
answer the ff. questions:
a. Which objects belong
together?
b. How many
numbers/elements are
there in each set?
Is there an object that
belongs to more than one
group? Which one?
Which of the following
sets are well-defined?
a. The set of all large
numbers
b. The set of all
multiples of 5
c. The set of
good
writers
d. The set of nice
people in your class
Given the pictures
below, answer the
following questions:
English and Math?
4. What do you mean
by UNION?
INTERSECTION?
Given:
Answer
the
questions:
following
1. Which of the following
shows the union of set A
and set B? How many
Based from the activity,
answer
the
following
questions:
a. Did you group the
objects correctly?
b. How many sets
elements are there in
each set?
c. Can you give your own
examples of well-defined
sets and null set?
d. What is the importance
of sets in daily life?
1. Which of the
following shows the
combination of set A
and set B? How many
elements are there?
elements are in the union of
A and B?
2. Which of the following
shows the intersection of
set A and set B? How many
elements are there in the
intersection of A and B?
2. What element/s
contain/s in both A and B
How many element/s
is/are there?
C. Presenting examples/  A set is a collection of Recall: SETS
objects ,things or symbols  A set is a collection of
instances of the
which are clearly defined objects ,things or symbols
lesson
.In the objects above the which are clearly defined
sets are;
.In the objects above the
1. Set of school supplies sets are;
3. Set of things worn 1. Set of school supplies
by girls
3. Set of things worn
2. Set
of
gadgets
by girls
4. Set of things worn 2. Set
of
gadgets
by boys
4. Set of things worn
The groups are called sets
by boys
for as long as the objects The groups are called
in the group share a sets for as long as the
characteristics and are objects in the group
thus, well defined. We share a characteristics
have four well-defined and are thus, well
sets in the objects above.
defined. We have four
 .The individual objects in well-defined sets in the
a set are called the objects above.
members or elements of  .The individual objects in
the set. Example: three of a set are called the
the elements in set 1 members or elements of
belong to a set of school the set. Example: three of
supplies (ruler, ballpen, the elements in set 1
and notebook ).Can you belong to a set of school
name elements of other supplies (ruler, ballpen,
sets? The symbol
is and notebook ).Can you
used to indicate that an name elements of other
object is an element or sets? The symbol
member of the set.
is used to indicate that an
 When we define a set,if object is an element or
we take pieces of that member of the set.
set, we can form what  When we define a
is called a subset. For
set,if we take pieces of
Recall:
Union
and
Intersection of Sets
a. How
will
you
describe the given
diagram?
b. How many sets are
there? What are their
elements?
c. Is there a common
element/animal
in
both sets?
Union
and
Intersection of sets
may be represented
using
Venn
Diagrams.
These
are
diagrams that make
use
of
geometric
shapes
to
show
relationships between
The UNION of two or
more sets is the set that
contains all elements of
the sets. The symbol for
union is U. To find the
union of two sets, list
the elements that are in
either set, or in both
sets. In the Venn
diagram below,
A U B is shaded.
The INTERSECTION of
sets is the set of
elements
that
are
common to two or more
sets. The symbol for
intersection is f. When
you find the intersection
example, we have the
set { 1,2,3,4,5}.
A subset of this is {
1,2,3,},another subsets
are { 3,4}, {2,3,5} or
even { 1 }. However,
{1,6} is not a subset,
since 6 is not in the
parent set.
A symbol for subset is ⊆
 The universal set U is
the set that contains all
objects
under
consideration .At the
start, “objects” is our
universal
set
.
 The null set is an empty
set. Example: If H is the
set of boys in an
exclusive school for
girls, then H is called
empty set since there
were no boys in that
school.The null set is a
subset of any set. The
symbol or { } will be
used to refer to an
empty set or null set.
 The cardinality of a set
is the number of
elements contained in
that set. Example: In
the objects given, the
that set, we can form
what is called a
subset. For example,
we have the set
{ 1,2,3,4,5}.
A subset of this is {
1,2,3,},another subsets
are { 3,4}, {2,3,5} or
even { 1 }. However,
{1,6} is not a subset,
since 6 is not in the
parent set.
A symbol for subset is ⊆
 The universal set U is
the set that contains all
objects under
consideration .At the
start, “objects” is our
universal set
.
 The null set is an
empty set. Example: If
H is the set of boys in
an exclusive school for
girls, then H is called
empty set since there
were no boys in that
school.The null set is a
subset of any set. The
symbol or { } will
be used to refer to an
empty set or null set.
The cardinality of a set is
the number of elements
shapes
Intersection of Sets
.Universal
set
of
Animals:
of two sets, list only the
elements that are in
both sets. The shaded
area below shows
A ∩ B.
E = Everything = {
Fish, Eels, Platypus,
Penguins, Eagles, Bats
}
We are going to use a
Venn diagram to divide
these animals into the
following two sets:
“Water Animals” and
“Two Legged Animals”
.
When we do this, we
find that Penguins
belong in both groups:
E = Everything = {
Fish, Eels, Platypus,
Penguins, Eagles, Bats
}
Water Animals={Fish,
Eels,Platypus, Pengui
n}
Two Legged Animals
Examples:
1. A bouquet of flowers
contains
roses,
gumamela, and ilangilang.
A
second
bouquet has roses,
lilies, and daisies. Both
bouquets are put in the
same vase.
Use union of sets to find
the set of flowers in the
vase.
first bouquet: B = {roses,
gumamela, ilang-ilang}
second bouquet: S =
{roses, lilies, daisies}
List the flowers that are in
either bouquet, or in both
bouquets.
cardinality of set of
gadget is 3, set of
things worn by boys is
2. The cardinality of a
set A is written as n(A).
Ask:
a. Did you group the
objects correctly?
b. How many sets
elements are there
in each set?
c. Can you give your
own examples of
well-defined
sets
and null set?
d. What
is
the
importance of sets
in daily life?
contained in that set.
Example: In the objects
given, the cardinality of
set of gadget is 3, set of
things worn by boys is 2.
The cardinality of a set A
is written as n(A).
=
{Eagles,
Bats, Penguins }
This means that on our
Venn Diagram, we will
need to have two
overlapping circles, so
that we can put
Penguins inside both
circles.
Union of Sets
The union of two sets
is everything that is
contained within the
two
circles
joined
together.
It is the combined total
of the two sets, where
each item is only listed
B U W = {roses,
gumamela,
ilang-ilang,
lilies, daisies}
2. Find the intersection of
the given pair of sets.
E = {2,4,6,8,10}
F = {4,8,12,16}
since 4 and
8 are in both sets.
once.
For our Venn Diagram
of
Two
Legged
Animals and Water
Animals, we have:
{ Two Legged Animals
} Union
{ Water
Animals } ={ Fish, Eels,
Platypus,
Penguins,
Eagles, Bats }
Union is often written
using a big “U” symbol,
or the word “OR”
Guide
Questions:
(Developmental Activity
)
a. Who
are
the
personalities given
in Activity 1 in Set
A? in Set B?
b. Who is common in
both sets? Why?
c. How
will
you
differentiate union
and intersection of
sets?
d. Can you give your
own
real-life
examples of these
sets?
D. Discussing new
concepts and
practicing new skills
#1
Do what is asked:
a. Is the given set welldefined? Justify your
answer.
1. {subjects in Grade
7}
Yes/No
because
__________________
2. { popular actors }
Yes/No
because
__________________
b. Which
of
the
following are empty
sets and why?
1. Triangles with four
sides.
It is an
empty set because
_______
2. Pandas
in
the
Philippines .It is an
empty set because
Identify the elements,
subsets and cardinality of
the given set below.
{mango, banana,
guyabano, avocado}
List
Zero
eleme
nt
One
eleme
nt
Two
eleme
nts
{}
No. of
subset
s
Given: A = {a,e,i,o,u}
B = {a,b,c,d,e}
Find:
1. A ∩ B
2. A U B
1. Given sets A and B:
_______
3. Actors who are
politicians. It is a
set
because
________
c. Identify the elements,
subsets
and
cardinality of the
given set
C= { first five counting
number}
Elements:
1,2,3,__,__
Subsets: {1}, { 1,2},{ },{ }
Cardinality: n( C)=__
Three
eleme
nts
Four
eleme
nts
Determine which of the
following shows (a) union
of sets A and B; and (b)
intersection of sets A and
B.
Total
Set 1
Ethan Molina
Chris Clemente
Angela
Dominguez
Mayumi Torres
Joanna Cruz
Set 2
Mayumi Torres
Ethan Molina
Chris Clemente
Set 3
Mayumi Torres
Janis Reyes
Chris Clemente
Ethan Molina
Nathan Santos
Set 4
Ethan Molina
Chris Clemente
Angela
Dominguez
Mayumi Torres
Joanna Cruz
Janis Reyes
Nathan Santos
2. Given:
A = {0, 1, 2, 3, 4}
B = {0, 2, 4, 6, 8}
C = {1, 3, 5, 7, 9}
Find the union and
intersection of each pair of
sets. (A&B, A&C, B&C)
Use the Venn Diagram.
E. Discussing new
concepts and
practicing new skills
#2
Identify
the
elements, Determine all the possible
subsets and cardinality of subsets of each set.
the given set.
a. {1,2}
1. L = {letters of English
b. {1,2,3}
alphabet up to h}
2. V = {all the vowels of
English alphabet}
3. A = {all even numbers
less than 10}
4. B = {all odd numbers
less than 10}
Let U= { 1,2,3,4,5,6,7,8 }
A= { 2 ,4 ,6, 7, 8 }
B= {1, 2, 3, 5, 7}
a. Give A
and
A
b. Place the elements
of these sets in the
Using the diagram above,
proper locations in
find:
the given Venn
1. A U B
diagram on the
2. A ∩ B
right
(
some
3. A U C
numbers
are
4. A ∩ C
already given)
F. Developing mastery
(Leads to Formative
Assessment 3)
Complete the table by
determining whether the
given set is well-defined,
not well-defined or null
set. If well-defined, give
the
elements,
three
subsets
and
its
cardinality.
Set
1.A={schooldays }
2.B={
baldmen
with
braided hair}
3.C={wholenumbers less
than five }
4.D={vowels in the
alphabet }
5.E={ pretty girls}
G. Finding practical
applications of
concepts and skills in
daily living
Do the following exercises.
Write your answers on the
spaces provided:
1. Give 3 examples of welldefined sets in real life
situations.
________________________
________________________
________________________
_________
2. Name two subsets of the
Answer each of the ff:
1. Is A a subset of B,
where A = {1, 3, 4}
and B = {1, 4, 3, 2}?
2. Let A be all multiples
of 4 and B be all
multiples of 2. Is A a
subset of B? And is B
a subset of A?
3. True or False. The
empty set is a subset
of every set, including
the empty set itself.
4. Given the set {1, 2, 3,
4, 5}. A subset of this
is {1, 2, 3}. Another
subset is {3, 4, 5, 6}.
5. {1, 6} is not a subset,
since it has an
element (6) which is
not in the parent set.
Given: P= { 1,2,3,4,5,6,},
Q= {2,4,6,8 }, and R=
{1,3,5}
Find; a. P
b. P
c. P
d. Q
e. Illustrate
P
using Venn diagram
THINK-PAIR-SHARE:
Determine A
Do
the
following A
exercises:
1.Give 3 examples of welldefined sets and null sets
2.Name 3 elements in
each of the given sets
a. {
Municipalities
in
Cavite}
b. { Cellphone brands}
3. Let B= { a,i,m }.List all
the possible subsets of B.
and
Answer the following:
Let M= { f,a,i,t,h } ,
P= { i, s }, S= { g,r,e,a,t }
Find;
a. M
b. P
c. M
Given Venn diagram;
Find:
1. elements of U
2. elements of A
3. elements of B
4. A
5. A
set of whole numbers.
_______________________
_______________________
_______________________
__________
SET A
Students who has
Instagram Account
Angel Valdez
Rachel Dy
Steph Torres
Cherry Cruz
SET B
Students who has Twitter
Account
John Angon
Cherry Cruz
Angel Valdez
Phil Reyes
H. Making
generalizations and
abstractions about
the lesson
Terms to
Remember
Notations
and
Symbols
Terms to
Remember
Notations
and
Symbols
1. A set is a
welldefined
group of
objects,
called
elements
that
share a
common
characte
ristic.
2. When a
set
is
1.Uppercas
e
letters
will
be
used
to
name sets
and
lowercase
letters will
be used to
refer to any
element of
a set. For
example,
let M be
6. A set is
a welldefined
group of
objects,
called
element
s
that
share a
commo
n
charact
eristic.
7. When a
1.Upperca
se letters
will
be
used
to
name sets
and
lowercase
letters will
be used to
refer
to
any
element of
a set. For
example,
 The union of two
sets
are
all
the
elements from both
sets.
Thus, the union of sets
A and B, written as A
, is the set of the
elements
that
are
members
of
A,or
members of B ,or
members of both A
and B.
 The intersections
of two sets are those
elements that belong to
both sets.
Thus, the intersection
of sets A and B ,
written as A
is a
 The union of two
sets
are
all
the
elements from both
sets.
Thus, the union of sets
A and B, written as A
, is the set of the
elements
that
are
members
of
A,or
members of B ,or
members of both A
and B.
 The intersections
of two sets are those
elements that belong to
both sets.
Thus, the intersection
of sets A and B ,
written as A
is a
containe
d
in
another
set
B,
we say
that set
A is a
subset of
set B
3. The
universal
set
is
the set
that
contains
all
objects
under
consider
ation
4. The null
set is an
empty
set. The
null set
is
a
subset of
any set.
5. The
cardinalit
y of a set
A is the
number
of
the set of
all objects
on activity.
We write,
M={ballpen
,notebook,
crayon and
ruler}. The
symbol
is
used
to
indicate
that
an
object is an
element or
member of
the set
2 if .A is
a subset of
(or
is
included
in) B, then
we
write
,
3.Universal
set
is
denoted by
U.
4.The
symbol
or { } will
set
is
contain
ed
in
another
set B,
we say
that set
A is a
subset
of set B
8. The
univers
al set is
the set
that
contain
s
all
objects
under
conside
ration
9. The null
set
is
an
empty
set. The
null set
is
a
subset
of any
set.
10.The
cardinality
of a set A
let M be
the set of
all objects
on activity.
We write,
M={ballpe
n,noteboo
k,crayon
and ruler}.
The
symbol
is
used
to
indicate
that
an
object is
an
element or
member
of the set
2 if .A is
a subset o
f (or is
included
in) B, then
we write
,
3.Univers
al set is
denoted
by U.
set of elements that
are members of both A
and B.
set of elements that
are members of both A
and B.
elements be used to
containe refer to an
d in A.
empty set
or null set.
5.The
cardinality
of a set A
is written
as n(A).
I. Evaluating learning
J. Additional activities
for application or
remediation
Answer each of the ff:.
1. Let B = [1, 3, 5, 7,
9}. List all the
possible subsets of
B.
2. Answer this
question: How many
subsets does a set
of n elements have?
Consider the sets:
A= {1, 3, 5,}
B= {2,4,6, }
C= {0,1,2,3,4,……}
D= the odd numbers less
than 7
is
the
number of
elements
contained
in A.
4.The
symbol
or { } will
be used to
refer to an
empty set
or null set.
5.The
cardinality
of a set A
is written
as n(A).
If K={ counting numbers
from
1-10},
L={consonants in word
art }, and M= { whole
numbers between 9 and
10};
A. Which of the sets are
well-defined? null set?
B. Find;
1. elements of K
2. elements of M
3. subsets of M
4. three subsets of L
5. cardinalities of all
the sets
Study: Union and
Intersection of sets
A = {0, 1, 2, 3, 4}
B = {0, 2, 4, 6, 8}
C = {1, 3, 5, 7, 9}
Given the sets above,
determine the elements and
cardinality of:
1. A U B =
2. A U C =
3. A ∩ B =
4. B ∩ C =
5. A U B U C =
Given:
A= {1,2,3,4,5,6,7,8}
B= { 2,4,6,8,10}
Find:
1. A U B
2. A ∩ B
Given: F= { 0,1,2,3,4,}
G= { 2,4,6,8 }
H= {3,4,6,9 }
Find:
1. F
2. F H
3. G
4. F
5. Illustrate F
using
Venn diagram
Study: Operations of
Sets
E= the whole numbers
less than 7
Answer the following;
_____a. Name the
elements of set A
_____b
Name
the
elements of set C
_____c. Is set D a subset
of set C? Why?
_____d. Is set C a subset
of set D? Why?
_____e. Which of the
sets are subsets of set
C?
V. REMARKS
VI. REFLECTION
3. No. of learners who
earned 80% on the
formative
assessment
4. No. of learners who
require additional
activities for
remediation.
5. Did the remedial
lessons work? No. of
learners who have
caught up with the
lesson.
6. No. of learners who
continue to require
remediation
7. Which of my
teaching strategies
worked well? Why
did these work?
8. What difficulties did I
encounter which my
principal or
supervisor can help
me solve?
9. What innovation or
localized materials
did I use/discover
which I wish to share
with other teachers?