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?