T102 Final Review
REVISED Fall 2007
This is only a sampling of some problems to review. All exams, notes, quizzes, homework, and reviews
should also be done.
1) Use < , > or = to write a true sentence:
10
a. 9
b. 5.9
6
8
9
c.
2) Find a number between th
T102
SECTION 10.4
MEASURES OF CENTRAL TENDENCY
AND VARIATION
In this section we will be doing some number crunching with data sets to help us to get a feel for
the data:
MEASURES OF CENTRAL TENDENCY
Where is the center of the data set?
Do the numbers tend
T102
SECTIONS 10.2.3
DISPLAYING DATA: PARTS 1 & 2
For many years, the word statistics referred to numerical information about state or political territories. The
word itself comes from the Latin statisticus, meaning of the state. We now live in an informa
T102 SECTION 94
PART I
ODDS, CONDITIONAL PROBABILITY AND EXPECTED VALUE
ODDS
You hear people speak about the odds in favor of something happening or the odds against
something happening all the time. What do these statements really mean?
If the odds in f
T102
SECTION 9.3
USING SIMULATIONS IN PROBABILITY
A simulation is a technique to act out a situation. It is a way to study a phenomenon too complex to
analyze by other means.
For instance, we can simulate tossing a coin 20 times using a variety of methods
T102 SECTION 9.2
MULTISTAGE EXPERIMENTS WITH TREE
DIAGRAMS & GEOMETRIC PROBABILITIES
TREE DIAGRAMS
Tree Diagrams are visual depictions of experiments. We will first look at a tree diagram of a
ONESTAGE EXPERIMENT that is, only one step.
EXAMPLE: A spinne
T102
SECTION 91
HOW PROBABILITIES ARE DETERMINED
INTRODUCTION
Probability, with its roots in gambling, is used in areas such as weather, sports, politics,
insurance, etc.
Probabilities are RATIOS expressed as fractions, decimals, or percents, and they ar
T102
SECTION 8.1 REAL NUMBERS
RATIONAL NUMBER (Q):
a number that can be expressed either as:
as a repeating decimal
or as
a terminating decimal.
Note: The Rational Numbers include the Natural Numbers (N), the Whole Numbers (W), and the Integers
(I) PLUS
T102 SECTION 73
RECALL:
NONTERMINATING DECIMALS
Any rational number can be expressed as a decimal either terminating or repeating.
Given the rational number
1.
a
in simplest form (reduced):
b
If the prime factorization of b contains only _s and/or _s the
T102
I.
SECTION 72
OPERATIONS WITH DECIMALS
ADDITION AND SUBTRACTION OF DECIMALS
A.
ADDITION
Before jumping directly to the standard algorithm for adding and subtracting
decimals, let us discover why the algorithm works with some concrete and other
examp
T102
CHAPTER 7
SECTION 71
DECIMALS, PERCENTS, AND REAL NUMBERS
INTRODUCTION TO DECIMALS
In this section, we will explore relationships between fractions and decimals and see how decimals
are an extension of the baseten number system. The word decimal co
T102
SECTION 6.4 RATIOS, PROPORTIONS, & PROPORTIONAL
REASONING
RATIO
For any two rational numbers a and b, the ratio of a to b is the fraction
A ratio is a comparison of two quantities written as a rational number.
We can write ratios in three ways:
We
1.
T102 SECTION 6.3
I.
MULTIPLICATION AND DIVISION OF RATIONAL NUMBERS
MULTIPLICATION
A.
Models for Multiplication
1.
Repeated Addition
3
2
5
2.
Area Model
3
2
5
+
+
=
But, what happens when both multiplicands are fractions? For example, threefourths of the
T102 CHAPTER 6
SECTION 6.1
I.
RATIONAL NUMBERS AS FRACTIONS
THE SET OF RATIONAL NUMBERS
INTRODUCTION
In T101, we began by studying the Natural Numbers:
N=cfw_
We then expanded this study to the Whole Numbers:
W=cfw_
And then to the Integers:
I=cfw_
The
T101
SECTION 42
EQUATIONS
SOLVING EQUATIONS
Solving equations simply means to find the value of the variable(s) that cause the equation to be true. To do this,
we will be using some properties of equality.
PROPERTIES OF EQUATIONS
A.
ADDITION PROPERTY OF
T101
SECTION 41
VARIABLES
In the previous section, one of the problem solving strategies was
write an equation. This strategy is just a piece of the larger concept
of algebraic thinking. Since algebraic thinking is such an important
part of mathematics a
T101
A.
SECTION 2.3
Set Intersection:
OTHER SET OPERATIONS AND THEIR PROPERTIES
The intersection of two sets A and B, denoted _, is the set
of all elements common to both A and B.
Venn Diagram:
U
A
Note: A B = cfw_x  x A and x B
B.
B
Disjoint Sets: Two s
T101
SECTION 2.2
DESCRIBING SETS
Introduction to Set Theory
A.
Set: A collection of objects
Example:
The letters in the word tall can be written using set notation as:
T=
or
or
The order in which the elements are written makes no difference, and each elem
T101
SECTION 21
NUMERATION SYSTEMS
Do you know what all the following have in common?
IX
1001two
14five

They are all the number _, but written in various numeration systems or bases.
By comparing our numeration system (HinduArabic or Base10) with oth
T101
SECTION 12
EXPLORATIONS WITH PATTERNS
Solving a problem means finding a way out of difficulty, a way around an obstacle, attaining an aim which
was not immediately attainable.
(George Polya)
.students should investigate numerical and geometric patte
T101
SECTION 11
MATHEMATICS
SOLVING
AND
PROBLEM
A great discovery solves a great problem, but there is a grain of discovery in the solution
of any problem. Your problem may be modest; but if it challenges your curiosity and
brings into play your inventiv
T101
CHAPTER 3 REVIEW
Name_
The following is ONLY A SAMPLING of possible exam questions. It does not cover all topics, algorithms, or concepts that
apply to this chapter. THE TEXT, NOTES, HOMEWORK, ETC SHOULD BE REVIEWED!
Last Edit: Spring 2010
1) Name th