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SIGNIFICANTLY

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VARY

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promote

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mobile

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the mental grouping of similar objects, events, ideas, or people concept

a mental image or best example of a category prototype

a methodical, logical rule or procedure that guarantees solving a particular problem algorithm

simple thinking strategy that often allows us to make judgements and solve problems efficiently; usually speedier but also more error-prone that algorithms heuristic

a sudden and often novel realization of the solutions to a problem insight learning

a tendency to approach a problem in a particular way, often a way that has been successful in the past mental set

the tendency to think of things in terms of their usual functions; an impediment to problem solving functional fixedness

the way an issue is posed; how an issue is framed can significantly affect decisions and judgements framing

the tendency for one's preexisting beliefs to distort logical reasoning, sometimes by making invalid conclusions seem valid, or valid conclusions seem valid belief bias

the tendency to believe, after learning an outcome, that one had foreseen it hindsight bias

the tendency to be more confident than correct-to overestimate the accuracy of one's beliefs and judgements overconfidence bias

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In exponential functions in the form of f(x)=ab^x, the a value represents the ______________ ______________. initialamount

In exponential functions in the form of f(x)=ab^x, the b value represents the _________. rate

______-_______ means that half of a sample of the substance will remain as the original element in time. halflife

________________ interest is an application of exponential functions. compound

The growth of something exponentially, such as population or interest, is referred to as exponential __________. growth

In exponential notation n^x, x is the ______________. exponent

Exponential and logarithmic functions are _______________ of one another. inverses

The decline of something exponentially, such as radioactive deterioration or a vehicle's value depreciating, is referred to as exponential ___________. decay

A function in the form of f(x)=ab^x. exponential

Logarithm to the base e is a _____________ _______. naturallog

The abbreviation used for the logarithmic function. log

A line that a graph approaches but does not touch or cross. asymptote

The ________ logarithm is the logarithm with base 10. common

In a function involving the expression bx where b is a positive number other than 1, b is the ________. base

____________ ________, e can be used in interest problems when the interest is compounded continuously. naturalbase

In exponential functions, the asymptote the graph approaches but never touches or crosses. horizontal

A logarithm could be read as "log base b of the ______________ (or answer) equals the exponent. argument

In logarithmic functions, the asymptote the graph approaches but never touches or crosses. vertical

Another term used to describe an exponent. power

Rules associated with logarithms that allow you to condense or expand a logarithm are log ______________. properties

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Acronym for Attention Deficit Disorder ADD

Difficulty in learning to read Dyslexia

Difficulty with staying still Hyperactivity

Trouble with written expression Dysgraphia

Acronym for Auditory Processing Disorder ADP

Trouble with always being distracted Distractibility

Acronym for Visual Processing Issues VPI

Difficulty in making calculations Dyscalculia

Inability to perform particular actions Dyspraxia

Acronym for Attention Deficit Hyperactivity Disorder ADHD

Trouble with interpreting body language: _______ learning disabilies Nonverbal

Issues with mental skills that help you get things done: _______ functioning issues Executive

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Accountability

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Effectively

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Integrity

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Multiple

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Situation

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a brief statement or account of the main points of something. Summary

combine (a number of things) into a coherent whole. Synthesize

Connecting background knowledge to what you are reading Making connections

of or relating to sensation or the physical senses; transmitted or perceived by the senses. Sensory

a conclusion reached on the basis of evidence and reason Inferences

examine methodically and in detail the constitution or structure of (something, especially information), typically for purposes of explanation and interpretation. Analyze

evidence from a text (fiction or nonfiction) that you can use to illustrate your ideas and support your arguments. Textual evidence

Refers to information that is implied or inferred because it's not clearly stated Draw conclusions

the objective analysis and evaluation of an issue in order to form a judgment Critical thinking

the subject of a talk, a piece of writing, a person's thoughts, or an exhibition; a topic. Theme

language that uses words or expressions with a meaning that is different from the literal interpretation. Figurative language

the patterns of rhythm and sound used in poetry. Prosody

a piece of writing that partakes of the nature of both speech and song that is nearly always rhythmical, usually metaphorical, and often exhibits such formal elements as meter, rhyme, and stanzaic structure. Poem

elements are a strong visual means of indicating relationships. Graphic elements

literary work in which special intensity is given to the expression of feelings and ideas by the use of distinctive style and rhythm; poems collectively or as a genre of literature. Poetry

the use of symbols to represent ideas or qualities. Symbolism

a story, poem, or picture that can be interpreted to reveal a hidden meaning, typically a moral or political one. Allegory

an expression designed to call something to mind without mentioning it explicitly; an indirect or passing reference. Allusion

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The maximum or minimum point of a quadratic function. vertex

The line of symmetry that runs through the vertex; can be found algebraically: x=-b/(2a) axis of symmetry

All the input values of a function. domain

All the output values of a function. range

x = -b ± √(b² - 4ac)/2a quadratic formula

one of the possible outcomes of a probability experiment event

a possible result of an experiment outcome

a diagram that shows how two or more sets in a universal set are related Ven diagram

a collection or list of items SET

events such that the outcome of one event does not affect the probability of the outcome of another event independent events

'sides and angles' that are images of each other will be equal if the two triangles are congruent. CORRESPONDING PARTS

Any number that can be written as a simple fraction, with a whole number numerator and denominator, such as terminating decimals, repeating decimals and integers. rational number

A square with a whole number root. perfect square

An angle of exactly 90 degrees. right angle

A triangle that contains a right angle. right triangle

Any number that cannot be written as a simple fraction, such as non-repeating, non-terminating decimals, square roots of non-perfect squares, pi. irrational number

The result of multiplying a number by itself square

Greek philosopher, 570-495 BC. There is no evidence that Pythagoras himself worked on or proved the Pythagorean Theorem, which was used previously by Babylonians and Indians. Pythagoras

A mathematical symbol that indicates the extraction of the root of the square inside. radical sign

the statement that the values of two mathematical expressions are equal equation

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression Coefficient

solving a problem solutions

value that,when multiplied by itself,gives the number roots

relationship between two numbers indicating how many times the first number contains the second ratio

two ratios or fractions are equal proportion

relationship between two numbers indicating how many times the first number contains the second ratio

a single number or variable, or numbers and variables multiplied together terms

an unbroken part of a circle arc

an angle whose vertex is at the center of a circle central angle

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Slope of the tangent at a point Derivative

The rate of change of y with respect to x SLOPE

A line that touches a function at one point TANGENT

A line the crosses a function at two points SECANT

The limit of a sum is the __________ of the limits SUM

The limit of a product is the product of the __________ LIMITS

If the limit of a function as it approaches a exists and is equal to f(a), the function is _____________ CONTINUOUS

If the left-hand limit and the right-hand limit of a function as x approaches a are not equal, then the limit ____________ DNE

If a function is not continuous at a, f has a ____________________ at a DISCONTINUITY

An absolute value function is an example of a ____________________ function PIECEWISE

First derivative of the position function VELOCITY

Second derivative of the position function ACCELERATION

Third derivative of the position function JERK

A function is _________________ at a if f'(a) exists DIFFERENTIABLE

First person credited with developing calculus NEWTON

Was less well-known for developing calculus LEIBNIZ

The derivative of a constant ZERO

The first times the derivative of the second plus the second times the derivative of the first PRODUCT RULE

Used to compute the derivative of a composite function CHAIN RULE

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The highest point on a graph, especially over a specified domain. It is the greatest value of f(x) over a defined interval of x, provided y=f(x). ( f'(x)=0 , f''(x)<0 ) Absolute maximum

The lowest point on a graph, especially over a specified domain. It is the least value of f(x) over a defined interval of x, provided y=f(x). (f'(x)=0 , f''(x)>0 ) Absolute Minimum

A line (or curve) that a function approaches without actually reaching the line as the domain either grows unbounded or approaches a limit. Asymptote

when the sum of their expanded terms reaches a boundary or limit. convergence

Let f be defined at c. If f'(c)=0 or if f' is undefined at c, what is c? critical point

A function f has this at (c,f(c)). if f''(c)=0 or f''(c) does not exist and if f'' changes sign from positive to negative or negative to positive at x=c or if f'(x) changes from increasing to decreasing or decreasing to increasing at x=c inflection point

If an object moves along a straight line with position function s(t), then its this is v(t)=s'(t) velocity

If an object moves along a straight line with position function s(t), then its this is |v(t)| speed

If an object moves along a straight line with position function s(t), then its this is a(t)=v'(t)=s''(t) acceleration

s= ∫ sqrt(1+[f'(x)]^2) dx on the bounds of a to b. What is this formula for? arc length

If f is continuous on [a,b] and differentiable on (a,b), then there exists a number c on (a,b) such that f'(c)=(f(b)-f(a))/(b-a) Mean value theorem

If f is continuous on [a,b] and k is any number between f(a) and f(b), then there is at least one number c between a and b such that f(c)=k Intermediate value theorem

In a rational funcion, the graph appears to approach thee horizontal line y=c, as x approaching infinity or negative infinity. In this case, what is y=c? horizontal asymptote

In a rational function, this asymptote occurs when a factor remains in the denominator. vertical

In a rational function, this asymptote occurs when the power of x in the numerator is greater than the power of x in the denominator. slant

this of the function f(x) at x=a is defined as f'(a)= lim(h approaching to 0) (f(a+h)-f(a))/h derivative

The derivative using this rule is (d/dx)x^n=nx^(n-1) where n is any real number power rule

suppose that f and g are differentiable at x. then (d/dx)[f(x)g(x)]= f'(x)g(x)+f(x)g'(X). what is this rule's name? product rule

suppose that f and g are differentiable at x and g(x) is not equal to 0. Then (d/dx)[f(x)/g(x)]= (f'(x)g(x)-f(x)g'(x))/(g(x))^2. What's this rule's name? quotient rule

When f(x)>=g(x) on the interval [a,b], then the ? between these two curves in the given interval is ∫ [f(x)-g(x)]dx (bounded a to b) area

When V= ∫ pi[(outer radius)^2-(inner radius)^2]dx (bounded a to b) What method is this? Washer

S= 2pi∫ f(x){sqrt(1+[f'(x)]^2)} dx on the bounds of a to b. What is this formula for? surface area

A situation where population growth levels off and approaches a limiting number M ( the carrying capacity) because of limited resources is called this. logistic growth

graphical approach, also called 'direction fields'. Pick several points (x,y) and sketch a tiny segment with slope as specified by dy/dx. It shows the general shape of all solutions. slope fields

Numerical approximation to the solution to a differential equation. Arithmetic way of following the lines in a slope field. Use the point slope form to find an approximation value. Given an initial value, and an indicated step size, along with the DE, we can solve for the solution. What method is this? Euler's method

the process of finding the greatest or least value of a function for some constraint, which must be true regardless of the solution. This finds the most suitable value for a function within a given domain. Optimization

If the limit does not exist, we say that the improper integral ____. diverge

This coordinate system is a two-dimensional system where each point is represented as a distance r from the origin (sometimes called the pole) and an angle θ from the positive horizontal axis. polar

This series diverges if |r|>=1. If |r|<1, the series converges to the sum S=a/(1-r). _____ series. geometric

This series is a series whose terms are alternately positive and negative. ____ series. alternating

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