# 1 1 Set Theory

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```					                                     Where can
Game Plan             Ms. Torok
Calculators                            ruler?
due by    September 10th, 2010
Wednesday!
Quiz Friday!
Do Now
Wedding Planner Example
Real Numbers
Sets
Word Wall
Bernie
Williams was
Born in 1968
Go Yanks!
Do Now
1.) Which number is greater?
2 or 1
3     4
    
a. Round 3.141592654….. to the nearest
whole number.

b. Round 3.141592654….. to the nearest
tenth.

c. Round 3.141592654….. to the nearest
hundredth.

d. Round 3.141592654….. to the nearest
thousandth.
3.) Evaluate:

25         24=

4.) Compare and Contrast

(-1)3 vs. (-1)2
Number Theory

Real Numbers:
Rational
Irrational
Whole
Integer
Natural (counting)
Rational Numbers:
 a rational number can be expressed as
a fraction or ratio
 Terminating (end) or repeating
decimals, when fraction is divided
out
 the “nice” numbers
 Easy to write on paper
 Perfect square roots

Examples:
Irrational Numbers:
 an irrational number can not be expressed
as a fraction
 non terminating decimals that do NOT
repeat in a pattern
 “not nice” numbers
 NOT easy to write on paper, because it goes
on and on…
Non- perfect square roots

Examples:
Diagram?
Set Theory
Sets are simply collections of items.

The items contained within a set are
called elements, and elements in a set
do not "repeat".
theory
Set to name sets lingo:
Notation: capital letters

Elements/members – Objects in a set
-an element of           -not an element of

Empty set - the set that contains no elements, denoted with the
symbol:
{ } or Ø

Subset – every element in a subset is also an element of another set
Notation: A  B

Union - ALL elements in BOTH sets
Notation: A  B

= real numbers;        = integer numbers;           = natural
numbers.

= infinity                      … = and so on
Methods of Describing Sets:
• roster
• set-builder notation
• interval notation
• graphing on a number line
• Venn diagrams
Roster
Roster - a list of the elements in a set,
separated by commas and surrounded by
{French curly braces}.

Ex: { 1, 2, 3, 4}
Practice:
Set-Builder
Set-builder notation - a mathematical
shorthand for precisely stating all
numbers of a specific set that possess a
specific property.

Ex:
Set-Builder:
More Set Builder:
Interval Notation
Interval notation is an alternative to
because it connects a subset of numbers.

Inclusive vs. Exclusive

What are the 4 inequality symbols?
Interval Notation
think “inequality”

Example
:
Say What?!?
Practice:
Word Wall

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