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Math Vocabulary

Collection of terms for Math 1 to Math 3.

AB
Zero Property of MultiplicationA statement that says that the product of a number and zero is always zero
y-inteceptThe y-valueof the point at which a line or curve intersects the y-axis
Y-CoordinateThe value that is given second in an ordered pair, which tells the distance of a point from the x-axis
Y-AxisThe vertical number line on a graph or a coordinate grid
x-interceptThe x-vale of the point where a line or curve intersctes the x-axis
X-CoordinateThe value that is given first in an ordered pair, which tells the distance of a point from the y-axis
X-AxisThe horizontal number line on a graph or a coordinate grid
Whole NumberThe numbers 0, 1, 2, 3, 4 and so on
VolumeThe number of unit cubes needed to fill up the space it occupies
Vertical AnglesCongrusent angles that form opposite each other when two lines intersect
VerticalUp and Down
Vertex (of a parabola)The point that has the maximum or minimum value of the parabola
VertexA common endpoint of two sides of a polygon or an angle
Venn DiagramA pictorial representation of sets usually using circles and/or rectangles
VariableA letter used to stand for a missing number or numbers
UnknownA letter used to stand for a missing number
Unit CircleA circle with a radius of one unit
Union (of sets)The set of elements belonging to one or more of the sets involved.
TrinomialAn algebriac expression with three terms
TriangleA flat 3 sided polygon
TrapezoidA quadrilateral with exactly one pair of parallel sides
TransversalA straight line that intersects two or more other coplanar straight lines at distinct points
TranslationThe movement of a graph without rotating or changing it's size
Transformation of a FunctionChanging a function by stretching, shrinking, reflecting, rotating, or repositioning
Third QuartileThe median of the scond half of a data set
Theoretical ProbabilityThe number of favorable outcomes for an event divided by the total number of possible outcomes for that event
TermPart of an expression separated by addition or subtraction
TangentThe ratio of sine to cosine; also, two figures which touch at a single point
Surface AreaThe measured total area of the surface of a solid shape
Supplementary anglesTwo angles whose measures have a sum of 180º
SumThe answer to an addition problem
SubsetOne set is a subset of another if every element of one set is also an element of the other set
Straight angleAn angle of measure 180º
Stem-and-Leaf- PlotA graphical method of displaying numerical data by grouping items that agree in all but (at most) their final digits
Statistical InferenceA process in which unknown characteristics of a population are inferred from the characteristics of an observed sample in the population
Standard DeviationA measure of spread that gives the typical distance each number in a data set is from the mean
Square RootThe factor of a number that when squared is the number
SquareA quadrilateral with 4 congruent sides and 4 right angles
SphereThe set of all points in space that are a fixed distance from a particular point
Solution SetThe set of value(s) for which an equation or inequality is true
Solid of revolutionA three-dimensional shape formed by revolving a two-dimensional figure around a straight line (axis of revolution)
SlopeThe rate of change (rise over run; change in y divided by change in x) between any two points on a line
Sine (of an acute angle)In a right triangle, the sine of an acute angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse
SimplfyTo rewrite an expression by combining like terms or iusing the order of operations; or to rewrite a fraction by dividing both the numerator and denominator by a common factor
Simplest FormA fraction for which the only common factor of the numerator and denominator is 1
Simple InterestInterest Paid on the original principle only
Similar objectsTwo objects such that the distance between any two points of one object is a particular constant times the distance between the corresponding points of the other object. Objects that have the same shape.
Sigma NotationUse of the 18th letter of the Greek (∑) alphabet to compactly represent sums or series of terms
SideAny one of the line segments that determines the polygon
SetA group of elements
SeriesA an infinite ordered set of terms combined together by the addition operator
SequenceAn ordered set of mathematical objects
SemicircleHalf of a circle
SegmentThe region enclosed between an arc and a chord
SectorThe region enclosed by two radii and the arc between them
Scatter PlotA graph on which data are represented as points
Scalene TriangleA triangle with no congruent sides
Scale FactorThe ratio of the lengths of corresponding sides of two similar figures
Sample SpaceThe set of all possible outcomes of an experiment
Rotational symmetryThe property of figures by which a copy can be made to coincide with the original figure by a rotation (around a point) of less than 360º
RootA value of the variable that satisfies the equation
Right triangleA triangle with one right angle
Right angleAn angle of measure 90º
RhombusA quadrilateral with all its sides congruent
RemainderAn amount left over after one number is divided by another
Regular polygonA polygon with all sides the same length and all angles equal in measure
Reflex angleAn angle of measure greater than 180º and less than 360º
Recursively Defines SequenceA sequence described by saying how to get to each term from the one before it
RectangleA quadrilateral with 4 right angles
Reciprocal FunctionA fucntion where the variable is the denominator of a fraction
ReciprocalThe number by which a given number can be multiplies to get one.
Real NumbersThe combined ste of all rational and irrational numbers
RayPart of a line that starts at a particular point on the line and extends infinitely far in one direction
Rational NumberA number that can be written as the ratio of two non-zero integers
Rational FunctionA quotient of two polynomials
RatioA comparison of two numbers, often written as a fraction
Range (of a data set)The numeric difference between the largest and smallest data values
RangeThe set of possible values of the dependent variable (y-values) for a function
RadiusThe distance or segment from the center to any point of a circle
Radian MeasureThe ration of arc length to the radius of a circle
QuotientThe result of dividing one number by another
QuartilesOne of the three numbers (first, second, third) that separate an ordered set of numnerical data into quarters
QuadrilateralA flat 4 sided polygon
Quadratic FunctionA polynomial function of degree 2
QuadrantEach of the four regions that are formed by the perpendicular axes of a coordinate plane
ProportionAn equality between two ratios
ProbabilityA measure from 0 to 1 of our belief that some event will or will not occur
Prime NumberA whole number with value greater than one, whose only factors are one and itself
Prime FactorizationThe division of a number until it is expressed as the product of only prime factors
PopulationA group of objects, events, or peeople studied in order to collect data
Polynomial FunctionA function which is the sum of terms consisting solely of the product of real number coeeficients and variables with whole number exponents
PolynomialAn algebraic expression with two or more terms
Polygonal pathA sequence of line segments each connected to the next by a common endpoint
PolygonA polygonal path that starts and ends at the same place and does not intersect itself anywhre in between
Point of symmetryThe point around which rotational symmetry occurs
PointAn exact place in space
Plane FigureA two-dimensional figure embedded in a plane (as opposed to solid geometry, for example)
PlaneA flat surface made up of a continuous and unending set of points, going on forever in all directions
PiThe ratio of the circumference to the diameter of a circle
Phase ShiftThe horizontal displacement of a periodic function
Perpendicular LinesLines that form a 90º angle where they cross
Perpendicular bisectorA line that intersects a given segment at right angles and divides it into two equal parts
PermutationA possible order or arrangment of a set of items or events
Periodic FunctionA function that repeats in a pattern
PeriodThe smallest positive value that must be added to the independent variable in a periodic function to repeat the function
Perimeterthe measure of the distance around the outside shape of a figure
Perfect SquareThe product of an integer times itself
PercentParts per hundred
PentagonA flat 5 Sided figure
PartitionTo divide a set into subsets such that every element of the set belongs to one and only one subset
ParallelogramA quadrilateral with two pairs of parallel sides
Parallel linesStraight lines in a plane that never intersect, no matter how far they are extended
ParabolaA curve produced by graphing a quadratic equation
OutlierA data item that does not fit in well with the rest of the data
OriginThe point of intersection of the axes of a coordinate system; (0, 0)
Order of OperationsThe convention that indicates the order in which mathematical operations should be performed: parentheses; exponents; multiplication and division; and addition and subtraction
One-to-one FunctionA function where for each value of y in the range there is exactly one unique value of x
OctogonA flat 8 Sided figure
Obtuse TriangleA triangle with one obtuse angle
Obtuse angleAn angle of measure greater than 90º and less than 180º
NumeratorThe top number in a fraction
NonagonA flat 9 Sided figure
Natural NumbersThe set of counting numbers 1, 2, 3, 4, ...
MultipleThe product of a given whole number and any other whole number
MonomialAn algebraic expression with one term
ModeThe number or numbers that occur most often in a data set
Mixed NumberA number with a whole number part and a fractional part
MinimumThe smallest value of a set or function
MidpointThe point that lies exactly halfway between the endpoints of a line segment
Median (of a triangle)A line segment with one endpoint a vertex of a triangle and the other endpoint the midpoint of the side opposite the vertex
MedianThe middle value of a set of numeric data when the data are arranged in size order
Measurement Datadata that are numbers being used to count or measure things
Mean Absolute DeviationThe mean of all the distances between the individual data items and the mean of the data set
MeanThe balance point of a numeric data setÉfound by dividing the sum of the data by the numebr of data items
MaximumThe largest value of a set or function
MatrixRectangular array(s) of numbers
LogarithmAn exponent; the inverse of exponentiation
Linear EquationAn first-degree equation that represents the graph of a straight line
Line SegmentA part of a line with two endpoints
LineA set of connected points that goes on forever in opposite directions
Like TermsTerms in an expression that have the same variables with the same exponents
LegOne of the sides of a right triangle that is not the hypotenuse
Least Squares Regression LineA straight line that minimizes the sum of the suares of the vertical distances from the line to the points of a given data set in a coordinate plane
Least Common MultipleThe smallest quantity that is divisible by two or more quantities
Least Common DenominatorThe common multiple of two or more denominators that has the least value
isosceles trangleA triangle that has two congruent sides
Irregular PolygonA polygon with at least one side or angle that is not congruent to the others
Irrational numbersNon-terminating, non-repeating decimals that cannot be written as a fraction
Inverse variationA relationship between two variables such that one is a positive constant divided by the other
Inverse OperationsOperations that give oposite results, or undo each other
Inverse FunctionThe reflection of a one-to-one function about the line y = x
IntervalA space or distance between numbers on a number line
Intersection (of Sets)The set of elements common to two or more sets
Interquartile RangeThe numeric difference between the first and thrid quartiles in a data set
Interior anglesThe angles that open toward the inside of the polygon
IntegersThe set of positive and negative whole numbers and 0
Inscribed polygonA polygon with all its vertices on a circle
Inscribed angleAn angle formed by two chords with an endpoint in common
InfiniteHaving no limit; never ending
InequalityAn algebraic statement that says that two numbers or expressions representing numbers are not equal
Independent VariableThe variable that represents the domain, or input, of a function
Independent systemA system of equations that has exactly one solution
Independent EventsTwo events in a probability experiment where the outcome of one event does not effect the likelihood of outcomes in the second event
Inconsistent systemA system of equations which has no value that will satisfy all of the equations
Improper Fractiona fraction with a numerator greater than or equal to its denominator
Identity Property of MultiplicationA statement that says the product of a number and one is equal to that number
Identity Property of AdditionA statement that says the sum of a number and zero is equal to that number
HypotenuseThs side of a right triangle that is opposite the right angle
HorizontalGoing left and right
HistogramA graphical display of measurement data that uses rectangles to show the frequency of data items in successive numeric intervals of equal size
HexagonA flat 6 Sided figure
HeptagonA flat 7 Sided figure
GraphA pictorial representation of a set of points in a coordinate system
Geometric MeanA number that when inserted between two other numbers forms a geometric sequence
FunctionAny process or rule that assigns to each element of a first set, the domain, exactly one element from a second set, the range
FrequencyThe number of times a value appears in a data set
Five-Number SummaryThe minimum, first quartile, median, third quartile, and maximum numbers of a set of numeric data
First QuartileThe median of the first half of a data set
FiniteLimited
Feasible RegionThe set of points in a coordinate plane corresponding to the feasible solutions of a Linear Programming problem
FactorialThe product of a positive integer and every positive integer less than itself
FactorA number or expression that is multiplied to obtain a product
FaceEach of the polygonal pieces that, joined at their edges, form a polyhedron
ExtrapolationA procedure used to predict values of a variable in an unobserved interval from observed values
Exterior angleAn angle formed by one side of a polygon and the extension of an adjacent side
ExpressionA group of numbers and variables linked by operation signs
Exponential FunctionA function in which the independent variable is used as an exponent
ExponentA number that stands for the power, or the number of times the base is to be multiplied
Experimental ProbabilityThe number of favorable outcomes for an event, divided by the number of trials in a probability experiment
Expected ValueIntuitively, the average outcome obtained when an experiment with numeric outcomes is repeated many time
EventA subset of a sample space
EvaluateTo find the value of a mathematical expression
EquivalentHaving the same value but written differently
Equilateral TriangleA triangle with three congruent sides and three congruent angles
Equilateral polygonA polygon in which all sides have the same length
EquidistantDescribes points that are all the same distance form a given point
EquiangularDescribes a 2 dimensional figure in which all angles have the same measure
EquationA statement that two expressions are equal
EqualThe same as
EndpointA point at the end of a line segment or ray
Empty SetThe set with no elements
ElementAn object in a set
DotplotA data display in which each data item is shown as a dot above its value on the number line
DomainThe set of all possible input values (x-values) for a function
DivisibleDescribes a number that can be divided by another number without a remainder
Distributive PropertyA statement that says the product of a number and a sum equals the sum of the individual products; a(b+c)=ab+ac
DiskA circle together with all the points inside it
Disjoint SetsTwo or more sets that have no elements in common
Disjoint EventsEvents that cannot happen at the same time
DiscriminantThe expression b^2 - 4ac, the value of which indicates the nature of the roots of a quadratic equation
Direct variationA relationship between two variables such that one is a positive constant times the other
DilationThe change in size of a figure or graph without changing its shape, to create an image that is similar to the original
DigitAny of the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8 ,9 used to write numbers
DifferenceHow much is left after you subtract
DiameterA chord that includes the center of a circle; aslo the length of this chord
DiagonalA line segment that joins two nonconsecutive vertices of a polygon
DeviationThe difference between a data value and some measure of center, such as the mean
Dependent Variablethe variable that represents the range, or output, of a function; the y-variable
Dependent systemA system of equations with infinitely many solutions
Dependent EventAn event that is affected by the outcome of another event in the same probability experiment
DenominatorThe bottom number in a fraction
Degree of a PolynomialThe highest exponent of the polynomial
DecimalThe base-10 notational system for representing real numbers. The expansion of a number using this system is called its decimal expansion (e.g. the decimal expansion of pi is 3.1415926É)
DecagonA flat 10 Sided figure
DataFactual information
Cubic EquationAn equation in which the highest power of its variable is three
Cross sectionThe intersection of a plane and a three-dimensional object
Coterminal anglesAngles with the same initial and terminal ray, e.g., 30º and 390º
Cosine (of an acute angle)In a right triangle, the cosine of an acute angle is the ratio of the length of the adjacent leg to the length of the hypotenuse
Corresponding AnglesAngles from congruent figures that have the same measure and shape; Angles that are located in similar places along a transversal that intersects two lines
CoordinatesAn ordered pair of numbers used to identify the position of a point in a coordinate system
Convex polygonA polygon in which the measure of each angle is less than 180º
ConstraintA condition that restricts your actions with regard to solutions to problems
Constant of proportionalityThe number that one variable is multiplied by in a direct proportion, or the number that is divided by one variable in an inverse proportion
ConstantA number or symbol representing a value that doesn't change
Consistent systemA system of equations that has one or more solutions
ConsecutiveIn order with no numbers skipped
Congruent figuresFigures that have the same shape and size
Conditional ProbabilityThe probability that one event will occur, given that a second event has already occurred
Concentric circlesTwo or more circles in the same plane that have the same center
Compound InterestInterest paid on the prinicple and the accrued interest
Compound EventA combination of two or more events in a probability experiment
Composite NumberA number that is the product of two integers other than 1 and itself
Complex NumberA number that can be written in the form a + bi, where a and b are real numbers and i = √-1
Complementary anglesTwo angles whose measrues have a sum of 90º
Commutative Property of MultiplicationA statement that says the order in which numbers are multiplied does not change their product: ab=ba
Commutative Property of AdditionA statement that says the order in which numbers are added does not change their sum: a+b=b+a
CombinationA selection of objects in which the order of selection is not important
Collinear (points)Points on the same line
CoefficientA numerical value or other constant that is multiplied by a variable
CircumferenceThe distance around a circle
Circular FunctionsFunctions that can be generated from the unit circle
Circle GraphA graph that shows data as parts of a whole; Pie Chart
CircleThe set of all points in a plane that are a fixed distance from a particular point
ChordA line segment with both its endpoints on the same circle
Central angleAn angle formed by two radii of a circle
CenterThe point that is equidistant from all points of a circle or sphere
Category DataData that can be classified into groups and titled
Cartesian Coordinate planeThe two-dimensional plane with perpendicular axes, usually referred to to as the x-axis and y-axis
BoxplotA five-number summary in picture form
BisectTo divide something into two equal parts
BinomialAn algebraic expression with two terms
BimodalA set made up of two distinct data groupings that are relatively far from one another
Biased (Experiment)An experiment or event in which one or several outcomes are more likely to occur than others
Base of an ExponentA factor that is multiplied by itself the number of times shown in the exponent
Base of a FigureThe side of a 2-D figure or the face of a 3-D figure that is perpendicular to the figure's height
Bar GraphA graph that uses bars to show data
Axis of SymmetryA line that divides a figure in half so that each half is the mirror image of the other
Axis of RevolutionThe line about which a planar figure is revolved to form a solid of revolution
AxisOne of the reference lines in a coordinate system
AverageA single number that describes all the numbers in a set; mean, median, or mode
AsymptoteA line that part of a curve approaches but does not intersect
Associative Property of MultiplicationWhe multiplying, how numbers are grouped does not change the product: (ab)c=a(bc)
Associative Property of AdditionWhen adding, how numbers are grouped does not change the sum: (a+b)+c=a+(b+c)
AreaThe number of square units needed to cover a flat space without overlapping
ArcA portion of a circle
ApproximationA value that is very close but not exactly equal to another number; an estimate
Angle bisectorA line or ray that divides an angle in half
AngleA figure formed by two line segments or rays with a common endpoint
AmplitudeThe vertical distance between the centerline and maximum value of a sinusoidal function
Altitude (of a triangle)A line segment drawn from one vertex to the opposite side that is perpendicular to the side
Alternate interior anglesTwo nonadjacent interior angles on opposite sides of a transversal that intersects two lines
Alternate Exterior AnglesAngles on opposite sides of a transversal and outside the lines it crosses
Adjacent anglesA pair of angles that have a common vertex and a common ray or side
Acute TriangleA triangle with three acute angles
Acute angleAn angle of measure less than 90º (but more than 0º)
Absolute ValueThe distance a number is from zero on the number line


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