CHRIST THE KING ACADEMY
Antequera, Bohol
Member: Bohol Association of Catholic Schools (BACS), Diocese of Tagbilaran
Catholic Educational Association of the Philippines (CEAP)
VISION: A community geared towards the holistic formation of learners to become productive citizens and faithful servants of Christ the King.
MISSION: Dedicated to educating students in a Christ-centered environment united by our core values of Resilience, Inspiring Leadership and Striving Excellence.
MATHEMATICS 7 FIRST QUARTER
WEEK NO. 1 DATE: __________________
LEARNING PLAN
TOPIC 1: SET
EXPLORE
This lesson is about sets, subsets, universal sets, a null set, cardinality of
sets, union and intersection of sets, and difference of two sets.
Consider this question: How does the classification of numbers help
us solve daily life problems?
Map of Conceptual Change:
Sets
A and B
Cardinality of A is the number
of elements in A, or n(A). Operations
Union Intersection Difference
A ∪ B={ x /x ∈ A∨x ∈ B } A ∩ B={ x /x ∈ A∨x ∈ B } A−B={x / x ∈ A∨x ∉ B }
A and B are disjoint sets if
A ∩ B= ∅ .
Learning Task 1: GROUP ME
Group the objects below as you see fit by shading the objects in the
same group with the same color using crayons. Fill up the table with
your corresponding answers.
MATHEMATICS 7 PREPARED BY: NIMFA C. HINACAY, Math Teacher
Name of the Description/
Group Characteristics
Answer the following questions:
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? Which one?
LEARNING
COMPETENCY FIRM-UP (ACQUISITION)
LC1: The learner Learning Task 2: EXERCISES
illustrates well-defined
sets, subsets, Do the following exercises.
universal sets, null
sets, cardinality of a. Give 3 examples of well-defined sets.
sets, union and
intersection of sets and Examples of well-defined
Description/Characteristics
the difference of two sets.
sets.
Learning Targets:
1. I can define and
illustrate well-
defined sets, b. Let B = {1, 3, 5, 7, 9}. List all the possible subsets of B.
subsets, universal
sets, and null sets. c. Write in set-builder notation: E = {2,4,6,8,10,…}
2. I can describe and d. Write in roster method: the set of consonants in the alphabet.
represent sets
using roster e. Find the cardinality of the following sets:
method and set- 1. E= {3,6,9}
builder notation. 2. F= {mango, grape, guava, banana}
3. I can determine the
Learning Task 3: TRY THIS!
cardinality of sets.
4. I can illustrate the Answer the following and write your answers on the spaces
union and provided:
intersection of sets,
and the difference
MATHEMATICS 7 PREPARED BY: NIMFA C. HINACAY, Math Teacher
of two sets. 1. Given sets A and B,
5. I can use Venn
Diagrams to
represent sets,
subsets, and set
operations.
determine which of the following sets given below shows (a) A∪ B;
and (b) A ∩ B?
2. GIVEN: A = {0, 1, 2, 3, 4} B = {0, 2, 4, 6, 8} C = {1, 3,
5, 7, 9}
Answer the following:
I. Draw a Venn diagram to show the relationships between the following
pairs or groups of sets:
a) A∪ B b) A∪ C c) A∪ B ∪ C d) A ∩ B e) B ∩ C
II. Given the sets above, determine the elements and cardinality of each
pair or group of sets in test I.
ELEMENTS CARDINALITY
a)
b)
c)
d)
e)
6. I can illustrate the
complement of a
set. Learning Task 4: COMPLEMENT ME!
Shown in the table are names of students of a high school class by sets
according to the definition of each set. The table shows the result of a
survey.
1. Draw a Venn diagram showing the relationships of U, sets A, B, C,
and D opposite the table above.
MATHEMATICS 7 PREPARED BY: NIMFA C. HINACAY, Math Teacher
2. After the survey has been completed, find the following sets.
a. U = _______________________________________________
b. A ∪ B’ = ___________________________________________
c. A’∪ C =____________________________________________
d. (B ∪ D)’ = __________________________________________
e. A’ ∩ B =____________________________________________
f. A’ ∩ D’ = ____________________________________________
g. (B ∩ C)’ = ___________________________________________
MATHEMATICS 7 PREPARED BY: NIMFA C. HINACAY, Math Teacher
