Republic of the Philippines
Department of Education
REGION VI – WESTERN VISAYAS
SCHOOLS DIVISION OF ILOILO
SCHOOLS DISTRICT OF AJUY
PUENTE BUNGLAS INTEGRATED SCHOOL
AJUY, ILOILO
QUARTER I
Week 1 – Day 1
Subject: MATH
Grade Level: 7
Date: __________________
Session: 1
Content Standard
The learner demonstrates understanding of key concepts of sets and the real
number system.
Performance Standard
The learner is able to formulate challenging situations involving sets and
real numbers and solve these in a variety of strategies.
M7NS-Ia-1
1. Describes well-defined sets, subsets, universal sets, and the null set and
cardinality of sets.
Competency
I. OBJECTIVES
•
•
•
Knowledge:
Skills:
Affective:
II. CONTENT
Defines sets
Illustrates sets
Observes the value of cleanliness in illustrating sets
SETS
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide
Pages
2. Learner’s
Materials Pages
3. Textbook Pages
4. Additional
Materials
5. Learning Resources
Mathematics – Grade 7
Learner’s Material
First Edition, 2013
Pages 1-4
e-Math Intermediate Algebra by Orlando Oronce and
Marilyn O. Mendoza, pp. 1-10
Understanding Mathematics Grade 7 by Jose S. Malate & et. al., pp. 1-10
Ruler, pencil, Laptop, and Led TV
(LR) portal
B. Other Learning
Resources
IV. PROCEDURES
A. Reviewing or
presenting the new
lesson
B. Establishing a
purpose for the lesson
C. Presenting examples
of the new lesson
Exploration
I. Review the Concepts of Whole Numbers.
1. What are whole numbers?
Ans: Positive numbers including zero
2. How are whole numbers represented?
Ans: It is represented mathematically by the set: (0,1,2,3,4,5…)
II. Recall Roster Method and Rule Method.
•
What is Roster method or Listing method?
(Expected answer: This is a method defining a set by listing all the
elements contained in a given set.).
•
What is Rule Method or Set Builder Notation?
(Expected answer: It is a method of defining set by simply describing the
elements of a given set clearly)
•
What is well- defined Set? (Expected answer: A well- defined group of
objects, called elements that share a common characteristic. )
About the Lesson:
This is an introductory lesson on sets. A clear understanding of the concepts
in this lesson will help you easily grasp number properties and enable you to
quickly identify multiple solutions involving sets of numbers.
Activity A.
Identify the objects shown in the pictures. Group them and label each group
to answer the given questions.
(Prepare this in another sheet)
a. How many groups are there?
b. Does each object belong to a group?
c. Is there an object that belongs to more than one group? What group?
D. Discussing new
Let us discuss your answers to the questions in Activity A.
concepts and
practicing new skills
#1
1. How many groups are there?
There is the group of head covers (hats), the set of trees, the set of even
numbers, and the set of polyhedral. But, there is also a set of round objects
and a set of pointy objects. There are 6 well-defined sets.
2. Does each object belong to a group? Yes.
3. Is there an object that belongs to more than one set? What groups are
these?
E. Discussing new
concepts and
practicing new skills
#2
F. Developing Mastery
G. Finding practical
applications of
concepts and skills in
daily living
H. Making
Generalizations and
abstractions about
the lesson
I. Evaluating learning
All the hats belong to the group of round objects. The pine trees and two of
the polyhedral belong to the group of pointy objects.
The teacher discusses the Important Terms to Remember. (Refer to
Worksheet –Discusssion)
Activity B;
I. Use the roster method to give the elements of the set below.
a. The set of counting numbers which are multiples of 3 and less than 15.
ans. C={ 3,6,9,12 }
b. The set of all positive integers greater than 3.
ans. O={ 5,7,9,11,13,… }
II. Write the rule method of the set with the given elements.
a. V= { a, e, i, o, u }
ans. V= { vowel of the English alphabet}
b. L= { 4,8,12,16,20 }
ans. L= { x/ x is counting number divisible by 4 and less than or
equal to 20}
III. State whether the collection is a well-defined set.
a. { a good singer in the Philippines}
ans. No, because some people may consider a singer is good
while others may not.
b. { an even prime number}
ans. Yes, because there is only one even prime number which is
It is definitely common for us to use the concept of set in everyday
experience.
• A set of silverware
• A set of dishes
• A set of tires for car
• A set of encyclopedia
Give the generalization base on the given examples.
1. Boat, car, bus, airplane
2. Carabao, cow, pig, goat
Activity C;
I. List the elements of set using roster method.
a. The set of counting numbers less than 10.
ans. C={ 1,2,3,4,5,6,7,8,9 }
b. The set vowels of the word “MISSISSIPPI”.
ans. W={ I }
II. Write the rule method of the set with the given elements.
a. D= { 5,10,15,20,25 }
ans. D= { x/ x is counting number divisible by 5 and less than or
equal to 25}
J. Additional
Activities for
application or
remediation
III. State whether the collection is a well-defined set.
a. { collection of all Math teachers in a particular school}
ans. Yes, because we can identify all Math teachers in a
particular school.
Activity E;
A. Use the roster method to specify the elements of the set given below.
a. A= {vowels of the word “Mathematics” }.
ans. A={ A,E,I }
b. B={ x/ x is a prime number less than ten}
ans. B={ 2,3,5,7 }
B. Write each of the following using set-builder notations.
a. R= { Saturday, Sunday }
ans. R={x/ x is a week end day}
C. Let A={ x/ x is a whole number less than or equal to 10}
Classify each statement as TRUE or FALSE.
a. 0 ∈ A ans. FALSE
b. 10∈A
c. 5∈A
V.
VI.
ans. TRUE
ans. TRUE
d. -5∈A
ans. FALSE
e. 12∈A
ans. FALSE
REMARKS
REFLECTION
A. No. of learners who
earned 80% in the
evaluation
B. No. of learners who
require additional
activities for remediation
C. Did the remedial
lessons work? No. of
learners who have caught
up the lesson
D. No. of learners who
continue to require
remediation
E. Which of my teaching
strategies worked well?
Why did these work?
A. ____ No. Learners who earned 80% in the evaluation
B. ____ No. Of learners who require additional activities for remediation.
C. Did the remedial lessons work? ____ No. Of learners who have caught up
the lesson.
D.___ No. Of learners who continue to require remediation.
Strategies used that work well:
____ Group collaboration
____ Games
____ Powerpoint Presentation
____ Answering preliminary activities/ exercises
____ Discussion
____ Case Method
____ Think- Pair- Share (TPS)
____ Rereading of Paragraphs/Poems/Stories
____ Differentiated Innnstruction
____ Role Paying/Drama
____ Discovery Method
____ Lecture Method
Why?
____ Complete IMs
____ Availability of Materials
____ Pupil’s eagerness to learn
____ Group member’s Cooperation in doing their tasks
F. What difficulties did I
encounter which my
principal and supervisor
help me solve?
G. What innovation or
localized I used/discover
which I wish to share
with other teacher?
___ Bullying among Pupils
___ Pupil’s behavior/attitude
___ Coloful IM’s
___ Unavailable Technology
Equipment (AVR/LCD)
___ Science /Computer/ Internet Lab
___ Additional Clerical works
___ Reading Readiness
ATTACHMENT
Session: 1 (1 day)
Content: SETS
DISCUSSIONS:
The following are terms that you must remember from this point on.
1. A set is a well- defined group of objects, called elements that
share a common characteristic. For example, 3 of the objects
above belong to the set of head covering or simply hats (ladies
hat, baseball cap, hard hat).
2. Uppercase letters will be used to name sets and lowercase letters
will be used to refer to any element of a set. For example, let H be
the set of all objects on that cover or protect the head. We write
H = {ladies hat, baseball cap, hard hat}
This is the listing or roster method of naming the elements of a
set.
3. Another way of writing the elements of a set is with the use of a
descriptor. This is the rule method.
For example, H = {x| x covers and protects the head}. This is
read as “the set H contains the element x such that x covers and
protects the head.”
SUPPLEMENTARY ACTIVITIES
Note: The activities included here will be used only when needed.
Do the following exercises.
1. Give 3 examples of well-defined sets.
ans. Example only a. The set of days in a week
2. Name two subsets of the set of whole numbers using both the listing method and the rule method.
Ans. a. A= (1,2,3,4,5)
A={ x/x is a counting number from 1 to 5}
b. B= (6,12,18,...,48)
B={ x/x is a number multiples of 6 from 6 to 48}
3. Let B = [1, 3, 5, 7, 9 }. List all the possible subsets of B.
Ans. a. A= (3,6,9) and many more possible subsets