MATH 104 EXAM 1

senses, visual, auditory, kinesthetic

1. Learning modalities = using your __________. 2. The three types of learning modalities are ______, _________, and ____________.

equivalent, equal

1. two sets are _____________ if they have the same number of elements. 2. two sets are ________ if they have exactly the same elements.

arithmetic

4, 7, 10, 13 is an example of an ____________ Sequence

fiobonacci sequence

Fn=Fn-1 + Fn-2

subset

If all the elements of B are contained in A, we can say that B is a __________ of A.

it is not a base 10 system because it is not based on powers of 10 and it uses symbols to represent the value.

Is the Roman Numeration system a base 10 system? explain.

understanding the problem, devising a plan, carrying out the plan, looking back

Polya's Four-Step Problem Solving Process 1. 2. 3. 4.

I

Roman numeral for 1

M

Roman numeral for 1,000

X

Roman numeral for 10

C

Roman numeral for 100

V

Roman numeral for 5

L

Roman numeral for 50

D

Roman numeral for 500

They are qualities that influence your study skills. 5 of these qualities that may influence your math grade are locus of control, motivation, test anxiety, positive attitude and math study skills. 25% of your grade is affected by these characteristics.

What are affective students characteristics Name 5 of these that can influence your math grade. What % of your grade is affected by these characteristics?

learning modalities, senses

______ _______ focus on the best way your brain receives information.

hindu-arabic numeration system

a base-ten system from the ten digits 0,1,2,3,4,5,6,7,8, and 9.

recursive formula

a formula based on a recursive pattern

egyptian numeration system

a grouping system, consisting of seven basic symbols used to represent certain set of numbers

babylonian numeration system

a place-value system based on 60 using two basic symbols to represent numbers

other number-base system

a place-value system based on number other than ten, which is studied to understand the base-ten system. examples of such systems are base two, base five, and base twelve

mayan numeration system

a place-value system based primarily on 20 using three basic symbols and vertical groupings

well defined

a set must be ______ ________; that is, if we are given a set and some particular object, then we must be able to tell whether the object does or does not belong to the set

empty set

a set with no elements

counterexample

a statement that contradicts the conjecture; an example that shows the conjecture is false

conjectures

a statement thought to be true but that is not yet to be proven; statements of conclusions that have not been proven

roman numeration system

a system, consisting of seven symbols, that used additive, subtractive, and multiplicative properties

recursive pattern

after one or more consecutive terms are given, each successive term of the sequence is obtained from the previous term(s)

sequence

an ordered arrangement of numbers, figures, or objects

difference, ratio

arithmetic = common ________________ geometric = common _____________

place value

assigns a value to a digit depending on its placement in a numeral

50

cognitive entry skills account for ______% of your grade

mayan

first numeration system to introduce a symbol for zero

locus of control

how much control you believe you have over life events

x1000

if a roman numeral has a line above it, what does this mean?

one-to-one correspondence

if set A is equivalent to set B, there is a ____________ between the sets

set-builder notation

in the ______-_______ ________, any lowercase letter can be used to represent a general element; it is useful when the individual elements of a set are not known or they are too numerous to list

10

in the hindu-arabic numeration system, the place value is based on powers of _____.

inductive reasoning

method of making generalizations based on observations and patterns, which may or may not be true

deductive reasoning

method of proving the truth of conjectures through the use of definitions, undefined terms, mathematical axioms that are assumed to be true, and previously proved theorems, together with logic to prove these conjectures

prime number

natural number whose only factors are itself and 1

roman

numeration system that has a subtractive property

mayan

numeration system that has a vertical place value based on 20

egyptian

numeration system that uses only an additive property

geometric sequence

ordered arrangement of numbers with a common ratio; each successive term in the sequence is obtained from its predecessor by multiplying by a fixed nonzero number, the ratio

affective characteristics

personality, self-concept, locus of control, motivation, attitudes, anxiety, study habits make up your __________ ____________

arithmetic sequence

sequence in which each successive term is obtained from the previous term by addition or subtraction of a fixed number (an ordered list of numbers, or terms, in which each term starting from the second one differs from the previous term by the same amount)

properties

sequences can be classified by their _________

figurate numbers

sequences of numbers that can be represented by dots arranged in the shape of geometric figures (i.e. triangular numbers)

finite

sets are _______ if you can count the number of elements (i.e. {1,2,3,4,5})

infinite

sets are ________ if the number of elements are not countable (i.e. {1,2,3,...})

empty

the _______ set is a proper subset of every set except itself

fiobonacci sequence

the first two terms of this sequence are 1,1 and each subsequent term is the sum of the previous two

intersection

the set of all elements common to both A and B

union

the set of all elements in either A or B, or both

complement

the set of elements in the universe that are not in Set A, denoted by A (with line)

universal set

the set that contains all of the elements under discussion

face value

the value of the digit

proper, 2^n-1

to be a ______ subset, it must NOT be equal to the set. to determine number of proper subsets in a set, use _________

auditory, visual, triangle of success

you are an ______ learner, sit in the back of the class. if you are a _______ learner, sit in the front of the class. this is known as the __________________________

element

∈ = ________