This document provides an introduction to sets. It defines what a set is as an organized collection of objects that share common characteristics. A set can be described in three ways: using a written expression, listing or roster method, and set-builder notation. It provides examples of each description method. The document also notes that a set with no elements is called an empty or null set, represented by the symbol ∅. It introduces some basic set operations and poses review questions.

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2. WEEK 1 LESSON:
SETS

3. TAPPLE GAMES

4. WHAT IS A SET?
It is an organized collection of
objects with common characteristics.
It is a well-defined collection of
different objects, such as numbers,
people, letters and symbols.

5. WHAT IS A SET?
The objects contained in the set
are called elements.
A set can be named using capital letters like A, B, C, D,…Z
and we use braces { }
to group the elements of set separated by commas.
If a set contains many elements, we often use three dots, …,
called ellipsis.

8. Learning Task 1:
Identify all the possible answers for the
statements below.
Cavite, Laguna, Batangas, Rizal and Quezon
9, 10, 11, 12, 13, 14, 15, …
AP, English, EsP, Filipino, MAPEH, Math,
Science, TLE
a, e, i, o u
cat, carabao, cow, dog, horse,

9. WHAT ARE THE THREE
WAYS TO DESCRIBE SETS?
1. Written Expression
2. Listing or Roster Method
3. Set-builder Notation

10. WRITTEN
EXPRESSION
By definition such as the set of
counting the members of a set.

11. 1. WRITTEN EXPRESSION
Illustrative Example 1:
Describe the elements of each set.
Answer:
Set A: The set of
even numbers from
4 to 12.

12. LISTING OR
ROSTER METHOD
By listing each member of a set
like 1, 2, 3, 4, 5, …

13. 2. LISTING OR ROSTER METHOD
Illustrative Example 1:
Describe the elements of each set.
Answer:
A = {4, 6, 8,
10,12}

14. SET-BUILDER
NOTATION
By set-builder notation such as
Primary color = {red, yellow,
blue}

15. 3. SET-BUILDER NOTATION
Illustrative Example 1:
Describe the elements of each set.
Answer:
A = {x/x is an
even number
from 4 to 12}

16. Illustrative Example 1:
Describe the elements of each set.
Answer:
Set B: The set of
counting numbers
from 1 to 6.

17. Illustrative Example 1:
Describe the elements of each set.
Answer:
B = {1, 2, 3,
4, 5, 6}

18. Illustrative Example 1:
Describe the elements of each set.
Answer:
B = {x/x is a
counting number
from 1 to 6}

21. Illustrative Example 1:
Describe the elements of each set.
Answer:
Set C: A null set

26. Operations on Set

29. Operations on Set

30. Operations on Set

32. Activity 2: To sum it up, let us complete the statements. Choose your
answer from the box that best completes the statements below.
1. A set with no element is an empty set or _________________.
2. The number of elements in the set refers to _______________.
3. The ______________ U is the set that contains all objects under consideration.
4. If every element in A is also an element in B, then A is a ______________of B.
5. The symbol for empty set or null set is _______________.

34. Are there any questions?

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