問題一覧
1
A collection of objects or a group.
Sets
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Well-defined -> ?
Well explained
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Not repeated
Distinct
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-List all elements -A set of all capital letter
Roster method
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-Builder notation -x/x, such that
Rule/Defining method
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1,2,3,4,5……….
Natural number
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0,1,2,3,4,5……
Whole number
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-1,-2,-3,-4……..
Integers
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1/2,1/4
Rational number
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Imaginary numbers
Complex number
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Set A{1,2,3} Set B{a,b,c} Set C{a,c,b} A___B???
Equivalent
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Set A{1,2,3} Set B{a,b,c} Set C{a,c,b} B___C???
Equal Set
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A set of ordered pairs
Relation
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Domain is x Range is y
True
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It is a language of science . It is the study of patterns and structures. It is everywhere.
Mathematics
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What role does math play in our word?
All of the above
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This are regular, repeated or recurring forms of designs.
Pattern
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It indicates that you can draw an imaginary line across an object and the resulting parts are mirror images of each other.
Symmetry
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Where Fibonacci sequence was created?
Italy
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A perfect measurement
Golden ratio
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Who created Fibonacci sequence?
Leonardo of pisa
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Who created fractals?
Benoit mandelbrot
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Patterns at different time scale
Fractals
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What are the characteristics of math as a language
Precise, Concise, Powerful
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It is ability to make distinction
Precise
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It is ability to symbols express more
Concise
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It is ability to make complex simple Easy to harder
Powerful
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Math nouns
Expression
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3x+4
Mathematical Expression
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2x=3 3x+4=5
Mathematical Equations
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2x<3
Mathematical Inequality
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It involves looking for patterns and making generalizations.
Inductive
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It involves making a logical arguments, drawing conclusions, and applying generalization to specific situations. It is always valid it make use of undefined terms, formally defined terms, axioms, theorems, and rules of inference.
Deductive
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An arithmetic based logic puzzle that was invented by the japanese mathematics teacher miyamoto in 2004.
Kenken Puzzle
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What are the 4 poly’s step in Problem solving
All of the above
36
It is a body of tehniques and procedures dealing with the collection, organization/presentation, analysis, and interpretation of information that can be stated numerically.
Statistics
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It refers to the process of obtaining numerical measurements.
Collection of data
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Refers to the organizations of data in tables.
Tabulation and presentation of data
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It is deriving from the given data relevance information from which numerical descriptions can be formulated.
Analysis of data
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What are the branches of statistics
Descriptive, Inferential
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Deals with the collection, enumeration, classifications, and graphical representation of data. Example: CENCUS, GRAPHICAL REPRESENTATION
Descriptive
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It is concerned with reaching conclusions about large groups of data by studying samples drawn from the population. Example: POLL
Inferential
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Includes all object or totality
Population
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Represent the whole population
Sample
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It refers to the factor, property, attribute, characteristics, or behavior that differentiate a group of persons. Example: SEX, SOCIO-ECONOMIC STATUS, GEOGRAPHICAL LOCATION
Variables
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A finite number of possible values or a countable number
Discrete
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Infinitely, continuous scale in such a way that there are no gaps or interruptions
Continuous
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A letter data, if they take the form such as race, sex, religion YES or NO responses
Qualitative
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A measurement such as weight, height, temperature, other measurable quantities
Quantitative
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We are categorizing (Sex, eye color, age)
Nominal
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We are trying to order things or arranged in some order ( military rank, olympic rank, placement in sports )
Ordinal
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0 does not mean nothing (IQ, temperature, time)
Interval
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0 is nothing( score in a test )
Ratio
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First hand experience, original source ( Diaries, autobiography )
Primary Data
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Information taken from published or unpublished
Secondary Data
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It give useful information, data should be summarized or organized
Presentation Data
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The most sensitive central tendency measure
Mean
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Dissertation
Secondary Data
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Distance is example of what data
Continuous
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Scales are used to determine this data
Continuous