absolute value
The absolute value of a number is its distance from zero on the number line. It is always a non-negative value. For example, the absolute value of -5 is 5, and the absolute value of 3 is 3.
arc
ā a portion of the circumference of a circle
base
the bottom (and sometimes the top) of a 3-D geometric figure.
a box
rectangular prisms and cubes, depending on dimensions
circle center
the point from which all points on a circle are equidistant.
complex number
a number that is a mix of real and imaginary
(a + bi, a is real and bi is imaginary)
cone
3-D shape with circular base and a pointed top
confidence interval
provides an upper and lower boundary between which you are certain percent sure that the true value falls
conjugates
binomials in the form of (a+b)(a-b)
consecutive
in a row, without skipping terms
constant
term of a polynomial that has no variable
(2x+7, 7 is the constant)
correlation
is a statistical measure that quantifies the relationship between two variables. It indicates the strength and direction of the linear association between the variables. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily indicate a cause-and-effect relationship.
cosine
the ratio between the adjacent side of a given angle and the hypotenuse
cylinder
3-D figure with two circular bases
decreasing
getting smaller
degree
a way to describe a polynomial by giving the highest exponent
(15š„ ^7 ā 12š„ ^4 + 3š„ ā 1, is a 7th degree polynomial)
deposit
money put into a bank account
diameter
distance from one side of a circle to another
domain
all the values of x you can use in a function
(most will be infinite, must keep zeroās out of denominator)
elements
individual items in a set
(the set {-7, 7} has two elements)
equation
mathematical statement that includes an equal sign
equivalent
equal to
exponential decay
something that is getting smaller at an ever decreasing rate.
represented by a curve that starts with a steep drop that then levels off
exponential growth
something that is growing at an ever-increasing rate.
represented by a curved line that starts flat, but eventually gets very steep
expression
mathematical statement consisting of numbers, variables, and/or operations that has no equal sign or inequality
function
mathematical description of the relationship between two variables
hypotenuse
side of a right triangle that is opposite of the right angle
imaginary number
value equal to the square root of negative one, represented as i
increasing
getting larger
inequality
integers
all whole numbers and their opposites
(pos and neg #s, but no fractions or decimals)
intercepts
points at which the graph of a function crosses over one of the axes
interest
represented with the variable r, deals with banking, can be simple or compounded
isosceles triangle
triangle with 2 equal sides
linear
a relationship with a constant slope
margin of error
way to describe a level of uncertainty about a statistic
can be represented as + or - x number
maximum
largest value in a set of data
mean
statistic of data, average
median
statistic of data, placing numbers in ascending order and selecting the middle number
minimum
smallest value in a set of data
model
mathematical equation that describes how variables relate to each other in the real world
outlier
a number or numbers in a set of data that donāt seem to belong with the other numbers
(much larger or much smaller)
parabola
a U shaped curve on a graph that represents a quadratic formula
parallel
two lines in the same plane that will never intersect
percentage
expression of a decimal or fraction as a number out of 100
perpendicular
two lines in a plane that meet at a right angle
pi
number that represents the ratio between circumference of a circle and its diameter
irrational number, rounded to 3.14 of 22/7
population
all of the elements in a group
product
the result of multiplication
pythagorean theorem
an equation relating to ONLY right triangles
a^2 + b^2 = c^2
quotient
result of a division
radian
unit of measurement for angles
radius
distance between the center of an circle and any point on that circle
range
A stat calculated by substracting the smallest value from the largest value
rate
way to describe comparison of two separate measurements
(miles per hour, dollars per gallon, pages per minute)
ratio
a comparison of two numbers usually written as a fraction or in the form of a:b
real number
any number that can be found on a number line
(positives, negatives, decimals, zero)
rectangle
4 sided figure with 4 right angles
regulat
a geometric shape where all the sides are equal and all angles are equal
remainder
the number left over when you divide two numbers
root
may pertain to square roots or x intercepts in a polynomial function (set equation to zero and solve to find the roots of a polynomial)
sample
subset of a population
sampling method
process a researcher uses to collect data from a portion of a population
satisfies
causes an equation to be true
scatterplot
a method of displaying bivariate data by graphing each pair of numbers as a point with an x and y coordinate
sector
portion of the area of a circle
similar triangles
two triangles with the same shape, but not necessarily the same size, angles are equal but sides are proportional
sine
right triangle, ratio between side opposite of a given angle and the hypotenuse
SOHCAHTOA
mnemonic device to remember the formula for sine, cosine, and tangent
solution set
all possible values of the variable
special riht triangle
triangle with angles of 30 60 90 or 45 45 90
if you are given the length of any one of the sides, you can figure out the other two sides
standard deviation
stat that describes how spread out the data is
(low standard deviation means the data are gathered close to the mean, while a high standard deviation means that there are data points pretty far to the left and the right of the center)
sum
result of adding to or mole values
system of equations
multiple equations for which there are multiple unknown variables
table
data organized into rows and columns
tangent
ratio between the opposite side of a given angle and the side adjacent to that angle
tangent define two
line that touches a circle but doesnt go inside circle
(always perpendicular to the radius at the point of tangency)
undefined
trying to divide by zero
values of a variable
numbers that the variable is able to represent
vertical line test
method to tell if a graph represents a function
(vertical line)
volume
measurement of how much space is inside a 3-D figure
weight
an objects mass times the acceleration due to gravity
x axis
horizontal baseline in the coordinate xy plane
xy plane
A two dimensional system in which the exact location of any point can be described by giving its distance from the baseline horizontal and vertical axes
Y AXIS
the vertical baseline in the coordinate xy plane
zeros
another word for the roots or x intercepts of a polynomial function