Absolute Value
The number's distance from zero on a number line. The absolute value of a number x is denoted by |x| and
|x| = x
x > 0 - x
x < 0
So with absolute value, we're not concerned with whether x is positive or negative, we just want to know how far it is away from zero. Because zero has had some problems with x in the past, and has applied for a restraining order.
Acute Angles
angle less that 90°; not "the nice one"
Acute Triangle
a triangle with three acute angles (angles less than 90°) ; so adorable and petite
Adjacent
next to each other; you want to sit adjacent to the hot guy/gal
Adjacent Angles
angles that share a side
Alternate Exterior Angles
angles on opposite sides of the transversal and on the exterior of the parallel lines
Alternate Interior Angles
angles on the opposite sides of the transversal and on the interior of the parallel lines
Angle
the shape formed when two rays meet at a common point (aka "the corner")
Apothem
the distance from the center of a regular polygon to the midpoint of one side
Area
The amount of space inside the boundary of a closed shape. As in, "there is x room to fit all the aliens inside Area 51."
Arithmetic Patterns
numbers in a pattern that are separated by a common difference
Base Of A Polygon
the bottom side of a polygon
Base Of A Solid
the bottom surface of an object; its tush
Basic Counting Principle
to find the total number of possible combinations multiply the number of options
Biased Questions
questions that try to influence the interviewee
Binomial
an algebraic expression with two terms
Box And Whisker Plot
a plot that displays data broken into four quartiles, where the box represents Q1 to Q3 and the whiskers represent the extreme values
Cartesian Coordinate System
a system that has perpendicular axes, usually the x- and y-axis
Chord
a line segment connecting two points on a circle; not "do re mi"
Circle
A closed plane figure wherein points on the boundary are equidistant from the fixed center. More importantly, it is the shape of a pizza pie.
Common Denominator
the bottom part of fractions; in this case when more than one fraction has the same bottom as all the others
Commutative
when the order of the number doesn't matter; this works for addition and multiplication, but not subtraction nor division. 6 + 2 = 2 + 6 and 6 × 2 = 2 × 6
Complementary Angles
Angles that add up to 90°
Complementary Events
in probability, results that do not overlap with one another (when flipping a coin, if you get a tail, then the complementary event is getting a head)
Compound Events
in probability, when there is more than one outcome, which may (taking a second card after a first has been chosen) or may not (throwing two dice at the same time) affect the outcome of the other
Compound Interest
adding interest earned before calculating the new interest
Cone
chocolate or brownie fudge? ; a solid with circular base and a curved side that ends in one point and has one vertex; a duncecap
Congruent Angles
two or more angles that have the same measurement
Constant
A value that does not change. Like pride in one's football team. Exception: the entire Philadelphia Eagles fan base.
Coplanar
on the same plane
Correlation
how two variables relate to each other
Corresponding Angles
when a transversal intersects two lines, these angles are in the same position on each line. When a transversal crosses two parallel lines, corresponding angles are congruent
Coterminal Angles
angles that share a terminal side
Cross-Canceling
reducing the numerator of one fraction with the denominator of another when multiplying fractions; wearing bright orange on top might cancel the orange pants your date has on
Cube
a prism with six congruent faces, all right angles and parallel opposite faces; it is a form of a rectangular prism
Cylinder
a solid with two parallel circular bases; if you "unwrap" the middle section and lay it flat, it is a rectangle
Denominator
the bottom number of a fraction
A fraction's bottom. The fraction will usually try to keep this part of him covered up, but his mother will usually produce some scandalous baby picture of him in the tub where his denominator is clearly visible.
Diagonal
a line connecting two vertices of a polygon
Diameter
the distance across the center of a circle
Disperse
Spread or distribute over a wide area
Distribute
to spread the term in front of the parentheses to each term inside the parentheses; share the wealth
Dividend
A number that is to be divided by another number. Apparently, this other number got hold of a butcher's knife.
Divisor
the number doing the dividing
The number which a dividend is divided by. Or, the number doing the dividing. Whichever way makes the most sense to you. Either way, there's going to be some good old-fashioned dividing going on.
Edge
the intersection of two faces on a solid object; this is a line; "Livin' on the Edge"
Equation
An expression that states the equation of two algebraic expressions. Equations: bringing expressions together since 1931.
Equiangular
a figure where all angles are equal in measure
Equilateral Triangle
a triangle with three congruent sides
Equivalent
equal to
Experimental Probability
probability calculated by the outcome of an experiment or trial
Exponents
the power to which a number or expression is raised
Expression
a fragment of a mathematical sentence; it doesn't have a sign of equality
Extreme Values
the largest and smallest values in data set; think extremes - extreme sports are at the high end of danger
Face
a flat side of a 3-dimensional object
Factor
A number that divides evenly into another number. For example, 8 and 3 are factors of 24. Oh great—now we're really gonna hear it from 2, 4, 6 and 12. We said for example. Sheesh.
Factorial
the product of all positive integers less than or equal to the given number; 5! = 5 × 4 × 3 × 2 × 1 = 120; a very excited number
Fauna
Animals of a particular habitat or time period
Finite Decimals
decimals that have an ending; unlike that dreadful movie from last weekend that seemed to never end
Frequency
the number of times an event occurs; Jim asked Danielle out with uncommon frequency
Geometric Patterns
numbers in a pattern that are separated by a common ratio (number being multiplied)
Golden Ratio
a ideal proportion that occurs regularly in nature, architecture, and art; approximately 1.618 (not 6'0", 185...)
Greatest Common Factor (GCF)
The largest positive integer that divides evenly into two or more non-zero numbers. For example, the GCF of 18 and 24 is 6.
It is also known as the greatest common divisor or highest common factor. It goes by many names, and has a different passport for each. How Jason Bourne is that?
Hexagon
a six-sided figure
Hexagonal Prism
a prism with hexagons for bases; opposite faces are parallel
Hypotenuse
the side opposite the right angle in a right angle
Improper Fraction
A fraction that tells bawdy jokes in mixed company.
Oh, all right. You're no fun. An improper fraction is one in which the numerator is larger than the denominator, like 13/5 or 25/4. These can be expressed as mixed numbers. Keeping with the examples, these fractions could be written as 2 3/5 and 6 1/4, respectively. There, now our fractions aren't so top-heavy.
Inequality
A relation between two algebraic expressions that are not equal, expressed using symbols like <, >, ≤, ≥. However, those expressions are currently marching on Washington, and hopefully, someday soon, there will be equality for all.
Integers
natural numbers (1, 2, 3, 4,...), their negatives (..-4, -3, -2, -1) , and zero; from the root "untouched"; simply virginal numbers
Intercept
the place where a line or curve crosses an axis
Interquartile Range
the difference between the upper quartile and the lower quartile
Isosceles Trapezoid
a trapezoid with only one set of congruent sides and two sets of congruent angles and has all the characteristics of a trapezoid (see trapezoid)
Kite
a quadrilateral with two sets of adjacent congruent sides and only one set of congruent angles
Least Common Multiple (LCM)
The smallest integer that is a multiple of two or more integers. For example, the LCM of 4 and 6 is 12. If you take 36, on the other hand, it's a multiple of both numbers, but it is not the least common multiple. Don't get down on yourself, 36. You'll have your day in the sun.
Like Terms
Two terms that have the same variables raised to the same exponent. Like terms may have different coefficients. We give them permission.
Line
a straight path passing through at least two points that extends in both directions; imagine the fifty yard line going on forever
Line Segment
a portion of a line that has limits at each end; think football field - there is an out-of-bounds at each yard line
Linear
in a straight line
Mean
the sum of all numbers in a set divided by the number of data values
Median
the middle value in a data set
Mixed Number
A number expressed as a whole number and a fraction, like 2½ or 4¾. You'd never be able to bake a cake without these bad boys.
Mode
the number that occurs the most in a data set
Monomial
an algebraic expression with one term
Mutually Exclusive Events
in probability these are two or more outcomes that can't occur at the same time (like rolling a die and getting a 1 and a 3)
Negative Correlation
as one variable increases, the other decreases; like hours spent on homework and the amount of time your parents nag you
No Correlation
the variables have no relation; like hours spent on homework and height
Nonagon
a nine-sided figure
Numerator
The top part of a fraction.
"I'll be back... on top of the denominator." - Numerator II: Judgment Day
Obtuse Angle
an angle greater than 90°, but less than 180°; a not-very bright angle
Obtuse Triangle
a triangle with one obtuse angle (an angle greater than 90°)
Octagon
an eight-sided figure
Order Of Operations
The rule that states which operation takes precedence over others. The correct order is given by the acronym "PEMDAS," which can be remembered by using the mnemonic "Please Excuse My Dear Aunt Sally." It stands for "Parentheses, Exponents, Multiplication and Division, Addition and Subtraction." It's something like a ranking system or a chain of command. So an exponent had better never go over a parenthesis' head, or it might be cited for insubordination.
Outlier
a number that is far greater or smaller than the rest of the data; it is calculated as 1.5(IQR) > Q3 or 1.5(IQR) < Q1; hopefully not your math score on the low end
Parallel Lines
lines that lie on the same plane and never intersect (Labeled as JK || LM )
Parallelogram
A four-sided, closed shape with straight lines and two pairs of opposite sides that are parallel. You can send someone a parallelogram for his or her birthday, but it is not as entertaining as a sing-o-gram.
Percent
The portion of a number out of 100. We're sure you can grasp this concept if you just give it 110%.
Perimeter
The length of the boundary of a closed shape. If the boundary is a light, bluish-purple and you can only see it out of the corner of your eye, it is a peripheral periwinkle perimeter. Just in case that ever comes up.
Perpendicular Lines
lines that intersect at a 90° angle; a linebacker's path while running at the quarterback
Pi
apple or cranberry? the ratio of the circumference of a circle to its diameter, 3.14159...; impress family and friends by memorizing to at least 10 digits
Place Value
each digit in a number has its own place; think Thanksgiving dinner; the ones place is to the left of Grandpa (or the decimal), tens place is far down from Aunt Gert
Plane
a flat surface without boundaries (Labeled by naming three nonlinear points on the plane,
Point
a single location usually drawn as a dot; "dimensionless" (labeled as point P)
Polygon
a closed figure of three or more sides
Positive Correlation
as one variable increases so does the other; like hours spent putting and accuracy (we hope)
Powers
math "shorthand" devices used to make writing long multiplication expressions easier and faster (also see exponents)
Prime
a number that is only divisible by one and itself; the first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 31
Prism
a solid object with two congruent and parallel faces
Probability
the likelihood of an event occurring
Product
A molecule that is produced in a chemical reaction. Products are generated by reactants.
Proportion
a comparison between one part and the whole
Proportional
having a constant ratio; similar figures are proportional
Pyramid
a solid object with a polygon for a base and triangles for sides
Q1
quartile 1; the median of the lower half of the data set
Q2
quartile 2; the median of the entire data set
Q3
quartile 3; the median of the upper half of the data set
Quadrilateral
four-sided shapes
Quartile
one of three values that divide a data set into four equal sections
Quotient
The number obtained by dividing one number by another.
Did you know that I.Q. stands for Intelligence Quotient? That's because we can tell how smart you are by dividing your brain up into pieces. Sounds rough, but it's a relatively painless procedure.
Radius
the distance from the center of a circle to a point on the circle
Range
the difference between the highest and the lowest data value; on a golf driving range, the difference between your ball and that of Tiger's might be large
Ratio
a comparison between two or more quantities; the ratio the distance Drew Brees throws the football over the distance you throw it is probably a high number
Ray
a straight path with one terminal point and extending indefinitely in the other direction; think sunshine
Rectangle
A parallelogram with all angles equal to 90°. More importantly, it is the shape of a rectangular pizza.
Regular Polygon
an equilateral, equiangular polygon
Regular Prism
a prism with rectangular bases, six faces, all right angles and parallel opposite faces
Rhombus
a quadrilateral with parallel opposite sides, congruent opposite angles, supplementary adjacent angles and four congruent sides; a square after running a marathon might tilt like a rhombus
Right Angle
an angle that is exactly 90°; often seen with a small box in the corner
Right Triangle
a triangle with one right angle (a 90° angle); can also be on the left side
Roots
opposites of powers; trees have roots as do numbers; in this case it can be the square (the number that multiplied by itself twice equals), the cube (multipled three times), or the nth (you get the picture)
Scalene Triangle
a triangle with all sides of different lengths
Scatter Plots
a type of plot that shows individual data values; dog doing its business outside on a windy day might do this to the snow
Scientific Notation
an operation using exponents to write very large and very small numbers. For example, the scientific notation for .00004 is 4 X 10^-5
Secant
a line intersecting a circle at two points
Septagon
a seven-sided figure
Side
the straight edge of a polygon
Significant Digit
all non-zero digits in a number
Similar Figures
two figures that have the same shape, but not the same size; siblings - one exercises and one eats doughnuts
Slope
the steepness of a line, calculated as rise over run; think skiing (the bunny slope is less steep than the triple black diamond)
Slope-Intercept Form
a representation of a line in y = mx + b form, where m is the slope and b is the y-intercept
Sloth
Laziness; inactivity; sluggishness
Sphere
a solid figure where all points are an equal distance from the center point; a ball
Square
A parallelogram with all angles equal to 90° and all sides equal. Read: glorified rectangle.
Square Pyramid
a pyramid with a square base; all sides on the bottom are the same and the top looks like a place in Egypt
Standard Form Of A Line
a representation of a line in Ax + By = C form, where A, B, and C are all integers and A is also positive
Statistics
the branch of math that deals with collecting and analyzing data; you can justify almost anything with the right stats
Straight Angle
180° angle; basically a straight line
Supplementary Angles
angles that add up to 180°; think a flat line when the angles are put together
Surface Area
the total area of all faces of a 3-dimensional object
Tangent
a line intersecting a circle at exactly one point
Term
each part of an expression separated by addition or subtraction
Tetrahedron
a pyramid with a triangular base
Theoretical Probability
the probability of an event determined by favorable outcomes ÷ possible outcomes; what math predicts, not necessarily what really happens
Three Dimensional Solid Objects
objects with width, length and height; not just flat, think Avatar
Transversal
a line that intersects two or more lines
Trapezoid
A four-sided, closed shape with straight lines and only one pair of opposite sides equal. The best of all shapes, because of how much fun it is to say "zoid."
Triangular Prism
a prism with triangle bases; only the bases are parallel
Triangular Pyramid (aka Tetrahedron)
a pyramid with triangular base; a tetrahedron made up of four equilateral triangles is called a regular tetrahedron
Trinomial
an algebraic expression with three terms
Two-dimensional
flat objects and shapes; think of a piece of paper; these objects only have two of the following: width, length, or height
Unit Rate
price per unit; written as a ratio (same as unit cost)
Vertex
the point where two rays meet; the corner of a polygon (plural is vertices)
Vertical Angles
when two lines intersect, opposite angles are called "vertical angles", these angles are congruent
Volume
the amount of space inside a 3-dimensional object.
X- Axis
the horizontal axis on a coordinate graph
Y- Axis
the vertical axis on a coordinate graph