complete the first sat question in your packet…i have to give them to you first!

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?