Mmw

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Patterns

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Are regular, repeated or recurring forms or design

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Bilateral symmetry

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Symmetry in which the left and right portions are exactly the same

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Rotational symmetry

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Symmetry in which if rotated would still achieve the same appearance as the original position

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The smallest angle that a figure can be rotated while still preserving the original formation

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Angle of rotation

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A more common way of describing rotational symmetry

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Order of rotation

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A problem involve in finding the optimum method of filling up a given space such as a cubic or spherical container

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Packing problems

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An ordered list of numbers

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Sequence

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What do you call the numbers in the sequence

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Terms

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T or f = terms may not have repeated values in a sequence

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False

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Ratios of successive fibonacci numbers approach the number phi. What value

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Golden ratio

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Sequence formed by adding the preceding two numbers

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Fibinacci sequence

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Considered as the most aesthetically pleasing proportion

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Golden ratio

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Sometimes thought of as a mathematical john doe because you can use it as a placeholder

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Variable

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Statement that says a certain property is true for all elements in a set

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Universal statement

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Statement that says if one thing is true then some other thing also has to be true

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Conditional statement

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Statement that says there is at least one thing for which the property is true

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Existential statement

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A statement that is both universal and conditional

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Universal conditional statement

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A statement that is universal because its first part says that a certain property is true for all objects of a given type, and the second part is existential

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Universal existential statement

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A statement that is existential = 1st part

2nd part = universal

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Existential universal statement

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Use of the word set as a formal mathematical terms was introduced by

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Georg cantor

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R = what numbers

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Set of all real numbers

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Z = what numbers

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Set of all integers

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Q = what

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Set of all rational numbers...

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N = what

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1....

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If every element of a is also an element of b

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A is a subset of b

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If every element if b is in b but there is at least one element of b that is not in a

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A is a proper subset of b

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A set may be specified by writing all of its elements between braces

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Set roster notation

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A process of reaching a general conclusion by examining specific examples

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Inductive reasoning

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The conclusion formed by using inductive reasoning is

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Conjecture

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Is the process of reaching a conclusion by applying general assumptions

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Deductive

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Polya's Four step problem solving strategy

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Undedtand the problem

Devise a plan

Carry out the plan

Review the sol

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Involves the collection orgqnization... interpretation of data

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Stats

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Branch of stats that involves the collection... presentation of data

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Descriptive stats

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Branch of stats that involves the interpretation and the drawing of conclusion from the data

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Inferential stats

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3 types of averages

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Mean median mode

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The middle number

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Median

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Number that occurs most frequently

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Mode

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A mean value that us often used when sime data valyes are more importwnr than others

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Weighted mean

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Data that have not been organized or manipulated in any manner

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Raw data

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A Table that lists observed events and the frequency of occurence of each event

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Freq. Distribution

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The difference between the greatest data value and the least

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Range

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The measure of dispersion that is less sensitive to extreme values

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Standard deviation

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The square of the standard deviation of the data

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Variance

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The number of standard deviations that is above or below the mean of data

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Z score

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The partition of a ranked data set into four equal groups

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Quartiles

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A plot that is often used to provide a visual summary of a set of data

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Box and whisker plot

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Large sets of data are often displayed using what distribution

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Grouped freq distri.

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Each interval in grouped fre distri

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Class

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The graph of freq distri

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Histogram

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The type of frequency distrib. that lists the percent of data in each class

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Relative freq distrib

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Nirmal distrib forms what:shape

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Bell shaped curve

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True or false

The mean median mode are equal in normal distrib.

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True

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The normal distribution that has a mean of 0 and a standard deviation of 1

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Standard nirmal distrib.

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Data involving two variables

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Bivariate data

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Iine that minimizes the sum of the squares of the vertical deviations from each data point to the line

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Least squares regression line

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Used to determine the strength of a linear relationshil bet two variables

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Linear correlation coefficient