## Algebra 2 AIMS

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bberkey  on November 9, 2009

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# Algebra 2 AIMS

 algebraica group of numbers, symbols, and variables that express a single or series of mathematical operations (e.g., 2x+4+6y )
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#### Definitions

algebraic a group of numbers, symbols, and variables that express a single or series of mathematical operations (e.g., 2x+4+6y )
analyze a process of dividing a composite into its parts for the purpose of examination
asymptote a line that a graph approaches
center the point which all the points on the circumference of a circle are equidistant.
combination The number of ways of choosing or selecting k unordered outcomes from n possibilities.
complementary event two events in which either one or the other must take place but they cannot both happen at the same time; the sum of the probabilities is 1, two events in which either one or the other must take place but they connot both happen at the same time; the sum of the probabilities is 1
complex number a number that can be written in the form a + b where a and b are real numbers and i is an imaginary number (e.g., 2+3i which is equivalent to 2 + √ -3 )
conjecture an unproven statement based on observations
cubic a rule containing the cube of a variable (e.g., f(x)=x³)
estimation an approximation and reasonable answer that is close to the exact answer without actually calculating the exact answer
exponential a form of mathematical representation of a term raised to a power or terms grouped and raised to a power (e.g., 5x³ or (5x+7)³)
exponential function an equation format written as f(x) = aˣ where the base, a, is a constant real number greater than zero but not equal to one.
formal reasoning reasoning that involves inducing a conclusion on the basis of specific facts or examples
informal reasoning the process of evaluating a conclusion, theory, or course of action on the basis of believability of evidence
integral general: an integer calculus: a function used for the calculation of the area under a curve
inverse of a function a function ƒ(y) = x, denoted by ƒ⁻¹(x) such that the domain of the function ƒ(x) becomes the range of the inverse function ƒ⁻¹(x), and the range of ƒ(x) becomes the domain of ƒ⁻¹(x) ; the function will only have an inverse function if it is a one to one relation
logarithmic functions that involve logarithms and are the opposite of the exponential function
magnitude size or quantity
measures of spread an indication of the dispersion or variation of data values including range, quartiles, interquartile range, standard deviation, and variance
measures of center numbers that communicate the "center" or "middle" of a set of data (i.e., mean, median, and mode)
normal distribution the spread of data that is symmetric in a given interval, has a median and mean that are equal, and can be fit with a normal curve
Pascals' triangle a triangular arrangement of numbers in which each row starts and ends with 1, and each other number is the sum of the two numbers above it
piece-wise define function a function that uses different rules for the number x depending on the element of the domain
points of discontinuity a point where a function is not continuous, noted by an open circle on the graph of the function
sigma notation the Greek letter sigma used to indicate summation
standard deviation a statistical calculation of the dispersion of the data
statistics the collection, organization, description, and analysis of quantitative data
step function a piecewise function whose graph resembles a set of stair steps
validate prove valid
variance population: a measure of variability given by the average of squared deviations if the data is taken from an entire population : a measure of variability given by the average of squared deviations if data is taken from a sample instead of an entire population

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