Complete the first SAT question in your packet…I have to give them to you first!
You have 5 minutes!
Review: Sets of Numbers
Section 1-1
Set Element Subset Empty Set Roster Notation Finite Set Infinite Set Interval Notation Set- builder Notation
Vocab
Set- a collection of items Elements- the items which make up a set Subset- A set whose elements belong to
another set Empty set- a set with no elements Roster notation- elements of a set represented
with braces { }
Definitions
Finite Set- Definite, or finite number of
elements Infinite Set- Unlimited or infinite number of
elements
Def Continued
Sets are all around you…. Just like a collection right? Creating a set is like creating a way to classify
information. ACTIVITY TIME!!!
So Why do I care?
Activity
Sets
Subsets?
Use the elements listed in our sets to develop
sets using roster notation Use braces to list your elements { }
Roster Notation
Remember Rational and Irrational Numbers? What is a Rational Number?
Numbers that can be expressed as a quotient or ratio of two integers where the denominator is not a zero
Examples: -4/3, 1.25, etc. What is an Irrational Number?
Numbers that cannot be expressed as a quotient of two integers, and their decimal forms do not terminate or repeat.
Example: π
Uses of Sets In Math
WHOA….ratio means what?
What about denominator?!?!?
Real Number Sets
Rational Numbers Irrational NumbersIntegers
Whole Numbers
Natural Numbers
Integer-a member of the set of whole numbers and their opposites
Whole numbers-the set of natural numbers and zero
Natural numbers-a counting number
Number
Real Rational
Integer Whole Number
Natural Number
Irrational Number
-5/2
0
0.5129
Classify
Example
Number
Real Rational
Integer Whole Number
Natural Number
Irrational Number
Classify
Order the numbers using roster notation
Finite Set: A limited number of elements are
contained in the set Example: The numbers on cards in a deck of
cards Infinite Set: A never ending amount of
elements in a set. Example: The numbers in the universe
Finite set vs Infinite Set
Would be hard to represent infinite sets using
roster notation Interval notation- Represents the set of
numbers contained between two endpoints. You can include or exclude points here
Interval Notation
Exclude/ Include
What numbers are represented by the
following:
[5, 15]
1 tell your group
What numbers are included in the set
(3, 7)
3 tell your group
What is meant by
(3, 12]
2 Infer and Tell your Group
Whole class
The ( ) are represented by open dots when
graphing on a number line
The [ ] are represented by closed dots when graphing on a number line
SMARTBOARD
Graphical Representation
Complete the worksheet in your groups of
three!
Practice!
Practice 1
Number
Real Rational
Integer Whole Number
Natural Number
Irrational Number
Practice 2
Set Builder Notation
What does this mean?
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