Transcript 2.1 Day I: Set Concepts

2.1 Day I: Set Concepts
By the end of class you will be able to
use set vocabulary to answer
questions about sets.
Activator
FIVE WORDS….THREE WORDS
Vocabulary
• Set: A Collection of objects, known as
elements or members.
• Examples of Sets:
– N = {1, 2, 3, ….}
• Roster Notation
– A: Students wearing jeans in this room
• Descriptive Notation
– B = {x I xЄN and 3<x<10}
• Set Builder Notation
Changing Forms
• Write A in roster notation if A is the set of US
states that begin with the letter W
• Write B = {L, N, E, P, A} in descriptive notation
• List 3 elements in set C if C = {x I x≠N}
What Are Finite Sets?
Finite Examples:
• A is the set of trees that
grow in New Jersey
• B is the set of airlines that
fly into Philadelphia
International Airport
• C is the set of 3rd graders at
Lenape
Non-Finite Examples
• R is the set of real numbers
• Z is the set of integers
• T is the set of time students
spend sleeping in a very
very very boring class (this
is a stretch!)
Finite Sets either contain no elements, or contain a number of elements that is a
natural number. Other sets are known as infinite.
What are Well Defined Sets?
Well Defined Examples
• A is the set of boys in this
class
Not Well Defined
• C is the set of “cool”
students in this class
• B is the set of classrooms in
E-Wing
• D is the set of large
numbers
• W is the set of whole
numbers
• E is the set of good teachers
at Lenape
Well Defined Sets contain elements that can clearly be determined (any two
reasonable people would agree on the elements in the set)
You Create the Set
• A well defined, infinite set in descriptive
notation
• A well defined set of students in this room
that contains exactly 3 elements
• A well defined set of students in this room
that contains no elements
Quia Practice: Teammates Consult
1) One person in your group will login to Quia
2) Take the 2.1 Set Vocab Quiz…the key word is 2.1
3) For each question….
1) Each person in the group writes the answer to the
question on their marker board and hides it from
group mates
2) Share your answers once all group mates have
answered (discuss any different answers)
3) Answer the question on Quia