grade-7-dll-1st-quarter-WEEK-1-1.doc

GRADE 7
DAILY
LESSON LOG
School Grade Level 7
Teacher Learning Area MATHEMATICS
Teaching Dates and Time Quarter FIRST
Session 1 Session 2 Session 3 Session 4
I. OBJECTIVES
1. Content Standards The learner demonstrates understanding of key concepts of sets and the real number system.
2. Performance Standards The learner is able to formulate challenging situations involving sets and real numbers and solve these in a
variety of strategies.
3. Learning
Competencies/
Objectives
The learner describes
well-defined sets,
subsets, universal sets,
and the null set and
cardinality of sets.
(M7NS-Ia-1)
a. Describe well-defined
sets, and null set
b. Identify the elements,
subsets and
cardinality of a set.
c. Appreciate the
importance of sets
The learner describes
well-defined sets,
subsets, universal sets,
and the null set and
cardinality of sets.
(M7NS-Ia-1)
a. Describe well-defined
sets, and null set
b. Identify the elements,
subsets and
cardinality of a set.
c. Appreciate the
importance of sets
.
The learner illustrates
the union and
intersection of sets
and the difference of
two sets.
(M7NS-Ia-2)
a. Describe and define
union and
b. Find the union /
c. Use Venn diagrams
to represent the
union and
d. Value accumulated
knowledge as
means of new
understanding
The learner illustrates
the union and
and the difference of
two sets.
(M7NS-Ia-2)
a. Describe and
define union and
b. Find the union /
c. Use Venn
diagrams to
represent the
union and
d. Value accumulated
knowledge as
means of new
understanding

II. CONTENT
Sets: An Introduction Sets: An Introduction
Union and Intersection
of Sets
Union and Intersection
of Sets
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide
pages
pp. 1 - 7 pp. 1 - 7 pp. 8 – 14 pp. 8 - 14
2. Learner’s Materials
pages
pp. 1 - 3 pp. 1 - 3 pp. 5 – 8 pp. 5 - 8
3. Textbook pages
Patterns and
Practicalities on G7- Math
pages: 5-10 Gladys
Nievera
Patterns and
Practicalities on G7-
Math pages: 5-10 Gladys
Nievera
-e-math Work text in
Mathematics 7, pages1-
11 by Orlando Oronce
and Marilyn Mendoza
Mathematics 7, pages 6-
8 by Orlando Oronce
and Marilyn Mendoza
-Patterns and
Math pages: 10-12
Gladys Nievera
Mathematics 7, pages 6-
8 by Orlando Oronce
and Marilyn Mendoza
-Patterns and
Math pages: 10-12
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
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
http://passyworldofmathe
matics.com/venn-
diagrams-introduction/
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/venn-
diagrams-introduction/
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

B. Other Learning
Resources / Materials
Grade 7 LCTG by DepEd
Cavite Mathematics, 2016
Powerpoint presentation,
pictures, activity sheets
Powerpoint presentation,
pictures, activity sheets
Powerpoint Presentation,
Venn diagrams, Pictures
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?
Ask the students to find
each set:
1. Odd numbers from 1
to 10
2. Multiples of three
from 1 to 10
3. Even numbers from
1 to 20
Answer the follow-up
questions:
FAVORITE SUBJECTS
Ana and Jay are talking
about their favorite
subjects
Set A
Students
who likes
ENGLISH
subject
Set B
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
 TAAL VOLCANO
 IMUS CATHEDRAL
 PICO DE LORO
 SKY RANCH
AMUSEMENT PARK
 BORACAY

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?
English and Math?
4. What do you mean
by UNION?
INTERSECTION?
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:
Given:
Answer the following
questions:
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/
instances of the
lesson
 A set is a collection of
objects ,things or symbols
which are clearly defined
.In the objects above the
sets are;
1. Set of school supplies
3. Set of things worn
by girls
2. Set of gadgets
by boys
The groups are called sets
for as long as the objects
in the group share a
characteristics and are
thus, well defined. We
have four well-defined
sets in the objects above.
 .The individual objects in
a set are called the
members or elements of
the set. Example: three of
the elements in set 1
belong to a set of school
supplies (ruler, ballpen,
and notebook ).Can you
name elements of other
sets? The symbol is
used to indicate that an
object is an element or
member of the set.
 When we define a set,if
we take pieces of that
set, we can form what
is called a subset. For
Recall: SETS
 A set is a collection of
objects ,things or symbols
which are clearly defined
.In the objects above the
sets are;
1. Set of school supplies
by girls
2. Set of gadgets
by boys
The groups are called
sets for as long as the
objects in the group
share a characteristics
and are thus, well
defined. We have four
well-defined sets in the
objects above.
 .The individual objects in
a set are called the
members or elements of
the set. Example: three of
the elements in set 1
belong to a set of school
supplies (ruler, ballpen,
and notebook ).Can you
name elements of other
sets? The symbol
is used to indicate that an
object is an element or
member of the set.
 When we define a
set,if we take pieces of
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
Recall: Union and
Intersection of Sets
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:
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
of two sets, list only the
elements that are in
both sets. The shaded
area below shows
A ∩ B.
Examples:
1. A bouquet of flowers
contains roses,
gumamela, and ilang-
ilang. 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 well-
defined? 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 No. of
subset
s
Zero
eleme
nt
{ }
One
eleme
nt
Two
eleme
nts
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
Total
Determine which of the
following shows (a) union
of sets A and B; and (b)
intersection of sets A and
B.
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,
subsets and cardinality of
the given set.
1. L = {letters of English
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}
Determine all the possible
subsets of each set.
a. {1,2}
b. {1,2,3}
Using the diagram above,
find:
1. A U B
2. A ∩ B
3. A U C
4. A ∩ C
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
proper locations in
the given Venn
diagram on the
right ( some
numbers are
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}
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
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
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 well-
defined sets in real life
situations.
________________________
________________________
________________________
_________
2. Name two subsets of the
THINK-PAIR-SHARE:
Do the following
exercises:
1.Give 3 examples of well-
defined 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.
Determine A and
A
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
1. A set is a
well-
defined
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
Terms to
Remember
Notations
and
Symbols
6. A set is
a well-
defined
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
containe
d in A.
be used to
refer to an
empty set
or null set.
5.The
cardinality
of a set A
is written
as n(A).
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).
I. Evaluating learning 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?
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
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: 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
J. Additional activities
for application or
remediation
Consider the sets:
A= {1, 3, 5,}
B= {2,4,6, }
C= {0,1,2,3,4,……}
D= the odd numbers less
than 7
Study: Union and
Intersection of sets
Given:
A= {1,2,3,4,5,6,7,8}
B= { 2,4,6,8,10}
Find:
1. A U B
2. A ∩ B
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
require additional
activities for

remediation.
5. Did the remedial
lessons work? No. of
learners who have
caught up with the
lesson.
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?

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