Grades 6-8

A-B | C | D-E | F-L | M-N | O-P | Q-R | S-T | U-Z

A-B


GRADE LEVEL(S)


TERM


DEFINITION

6-7-8

absolute value

a number's distance from zero.

6-7-8

acute angle

an angle whose measure is between 0 and 90

6-7-8

acute triangle

a triangle with three acute angles.

6-7-8

algorithm

step-by -step procedure for doing a specific task in a finite number of steps

6-7-8

algebraic expression

a collection of numbers and/or variables, and operations

6-7-8

altitude

see height

6-7-8

angle

two rays with a common endpoint

6-7-8

arc

part of a circle from one point on the circle to another

6-7-8

area

the measure of the surface inside a closed boundary

6-7-8

Associative Property

if a, b, and c are any numbers being added or multiplied then changing their grouping but not their order will not change their sum or product (example: (a +b) + c = a + (b + c) and (ab)c = a(bc))

6-7-8

average

see mean

6-7-8

bar graph

a graph in which horizontal or vertical bars represent data

6-7-8

base

the side of the triangle that the height/altitude is drawn to

6-7-8

base of a power

in an expression requiring multiplication, the constant or variable that tells what number is to be multiplied. In the expression 72, 7 is the base

6-7-8

best fit line

a straight line drawn through a cluster of points plotted on a graph

6-7-8

binomial

polynomial with two terms

6-7-8

bit

base 10 piece used to represent one (represents one hundredth when working with decimals)


C


GRADE LEVEL(S)


TERM


DEFINITION

6-7-8

capacity

a measure of how much liquid a container can hold

6-7-8

center

the point such that every point on a circle is the same distance from it

6-7-8

central angle

an angle whose vertex is at the center of a circle

6-7-8

chord

any line segment that connects two points on a circle

6-7-8

circle graph

a graph in which a circle and its interior are divided into parts to represent the parts of a set of data. Also called a pie graph

6-7-8

circumference

the distance around a circle or sphere

6-7-8

coefficient

a number multiplying the variable. In the term 5X, 5 is the coefficient.

6-7-8

collinear

lying on the same line

6-7-8

Commutative Property

if a and b are any numbers, then changing the order in which they are added or multiplied will not change the sum or product (example: a + b = b + a and ab = ba)

6-7-8

complementary angles

two angles whose measures total 90

6-7-8

compound inequality

the combination of two inequalities joined by "and" or "or"

6-7-8

composite

a whole number that has more than two whole-number factors

6-7-8

conjugates

two binomials whose only difference is the sign. (x + y) (x - y)

6-7-8

concave

having a shape that is thought of as curving inward; opposite of convex

6-7-8

concentric circles

circles that have the same center but radii of different lengths

6-7-8

cone

a 3-dimensional shape having a circular base, curved surface, and one vertex

6-7-8

congruent

two figures that have the same size and shape

6-7-8

convex

having a shape that is thought of as curving outward; opposite of concave

6-7-8

coordinate plane

a plane formed by a horizontal number line called the x-axis, and a vertical number line called the y-axis; also known as Cartesian Coordinate Grid

6-7-8

coordinates

see ordered pair

6-7-8

cosine

in a right triangle with acute angle A, the cosine of angle A is the ratio of the measure of the leg adjacent to angle A with the measure of the hypotenuse

6-7-8

counting numbers

see natural numbers

6-7-8

customary system of measurement

the measuring system used most often in the United States. Units for linear measure (length, distance) include inch, foot, yard, and mile; units for weight include ounce and pound; units for capacity (amount of liquid or other pourable substance a contain

6-7-8

cylinder

a 3-dimensional shape having a curved surface and parallel circular or elliptical bases that are the same size (example: can is a cylinder)


D-E


GRADE LEVEL(S)


TERM


DEFINITION

6-7-8

data

information gathered by observation, questioning, or measurement

6-7-8

decagon

a polygon with ten sides

6-7-8

decimal

a number written in standard notation, usually one containing a decimal point

6-7-8

degree ( )

1. a unit of measure for angles; based on dividing a circle into 360 equal parts; 2. a unit of measure for temperature

6-7-8

denominator

the number below the fraction bar that tells the number of equal parts into which the whole is divided

6-7-8

density

a rate that compares the mass of an object with its volume

6-7-8

diagonal

a segment that connects two vertices of a polygon and is not a side

6-7-8

diameter

a chord that passes through a circle's center

6-7-8

difference of squares

two perfect squares separated by a subtraction sign (example: a2 - b2 = (a + b) (a - b))

6-7-8

discount

the difference between the regular price and the sale price of an item

6-7-8

discount percent

the percent that a sale item is discounted. It is the ratio of the discount to the regular price of the item

6-7-8

Distributive Property

for any numbers a, b, c: 1. a(b + c) = ab + ac ; 2. a(b - c) = ab - ac

6-7-8

discriminant

in the quadratic formula, the expression b2 - 4ac

6-7-8

divide

to find a quotient of two numbers

6-7-8

dividend

the total amount in a division problem before dividing; see divide

6-7-8

divisor

the number of equal parts or the number in each equal part; see divide

6-7-8

dodecagon

a polygon with twelve sides

6-7-8

domain

ahe set of all the input values of a function

6-7-8

edge

ahe line segment where two faces of a polyhedron meet

6-7-8

endpoint

ahe point at the end of a line segment or ray

6-7-8

equation

a mathematical sentence that states that one expression equals another expression

6-7-8

equidistant

equally distant from one to the next

6-7-8

equilateral triangle

a triangle with three sides of the same length

6-7-8

equiangular triangle

a triangle in which all three angles have the same measure

6-7-8

equivalent fractions

fractions that have different numerators and denominators, but represent the same value

6-7-8

estimate

a calculation of a close, rather than exact, answer

6-7-8

expanded notation

a number written as the sum of each digit times a power of 10
(example: 3 * 102 + 4 * 101 +8 * 100 = 348)

6-7-8

exponent

in an expression requiring multiplication, the constant or variable that tells how many bases to multiply together. For example, in the expression 72, 2 is the exponent

6-7-8

expression

a collection of numbers linked by mathematical operations


F-L


GRADE LEVEL(S)


TERM


DEFINITION

6-7-8

face

a flat surface on a 3-dimensional shape

6-7-8

factor

numbers that are multiplied together

6-7-8

fair game

a game that all players have an equal chance of winning

6-7-8

flat

base 10 piece used to represent one hundred (represents one when working with decimals)

6-7-8

flip

a motion in a plane that moves a figure about a line so that its new position is its mirror image on the opposite side of the line

6-7-8

fraction

a number in the form , where a and b are whole numbers and b is not 0. Fractions are used to name part of a whole object or part of a whole collection of objects, or to compare two quantities

6-7-8

function

1. a relationship between input and output in which the output depends on the input; 2. a relation in which each element of the domain is paired with exactly one element of the range

6-7-8

geometric solid

a 3-dimensional shape bounded by surfaces. Common geometric solids include the rectangular prism, square pyramid, cylinder, cone, and sphere

6-7-8

greatest common factor

the largest factor that two or more numbers have in common

6-7-8

height

the line formed from the vertex of a triangle perpendicular to the opposite side of the triangle; also referred to as altitude

6-7-8

hexagon

a polygon with six sides

6-7-8

hypotenuse

in a right triangle, the side opposite the right angle

6-7-8

image

the new figure after transforming an original figure

6-7-8

improper fraction

a fraction that names a number greater than or equal to 1; a fraction whose numerator is equal to or greater than its denominator

6-7-8

integers

the set of whole numbers and their opposites

6-7-8

interior angle

an angle of a polygon formed by two adjacent sides

6-7-8

intersect

to meet (at a point, line, and so on)

6-7-8

irrational number

a real number that cannot be expressed as the quotient of two integers

6-7-8

isosceles triangle

a triangle that has two sides of equal length

6-7-8

least common denominator

the smallest number that is a multiple of two or more numbers

6-7-8

leg of a right triangle

a side of a right triangle that is not the hypotenuse

6-7-8

like terms

terms that contain the same variable or variables that are raised to the same power

6-7-8

line graph

a graph in which points are connected by a line or line segments to represent data

6-7-8

linear equation

an equation whose graph is a straight line

6-7-8

line segment

a part of a line consisting of two endpoints and all the points between them

6-7-8

line symmetry

a property of a figure that can be divided by a line, known as line of symmetry, into two parts, each of which is the mirror image of the other

6-7-8

lowest terms

a fraction in which the numerator and denominator have no common factor except 1


M-N


GRADE LEVEL(S)


TERM


DEFINITION

6-7-8

mean

a typical or middle value for a set of numbers. It is found by adding the numbers in the set and dividing the sum by the number of numbers; also referred to as the average

6-7-8

median

the middle value in a set of data when the data is listed in order from smallest to largest (or largest to smallest). If there is an even number of data points, the median is the mean (average) of the two middle values

6-7-8

metric system of measurement

A measurement system based on the base-10 numeration system and used in most countries in the world. Units for linear measure (length, distance) include millimeter, centimeter, meter, kilometer; units for mass include gram and kilogram; units for volume (amount of liquid or other pourable substance a container can hold) include milliliter and liter

6-7-8

midpoint

the point on a line segment that is halfway between the two endpoints

6-7-8

mixed number

a number that is equal to the sum of a whole number and a fraction

6-7-8

mode

the value or values that occur most often in a set of data

6-7-8

monomial

a number, a variable, or a product of a number and one or more variables

6-7-8

multiple of a number

the product of the number and any whole number

6-7-8

natural numbers

the set of numbers 1, 2, 3, 4...

6-7-8

negative integers

an integer less than 0

6-7-8

nonagon

a polygon with nine sides

6-7-8

nonrepeating decimal

a decimal that neither terminates nor repeats

6-7-8

n-gon

a polygon with n sides

6-7-8

numerator

the top number of a fraction that tells the number of equal parts being considered


O-P


GRADE LEVEL(S)


TERM


DEFINITION

6-7-8

obtuse angle

an angle whose measure is greater than 90 and less than 180

6-7-8

obtuse triangle

a triangle that has one angle that is greater than 90

6-7-8

octagon

a polygon with eight sides

6-7-8

Order of Operations

a procedure for evaluating an expression involving more than one operation.

6-7-8

ordered pair

two numbers in a specific order used to locate a point on a coordinate grid. They are usually written inside parentheses

6-7-8

origin

the point where the x-axis and y-axis intersect on a coordinate plane

6-7-8

parabola

the general shape of the graph of a quadratic function

6-7-8

parallel

lines,segments, or rays that are the same distance apart and never meet

6-7-8

parallelogram

a quadrilateral whose opposite sides are parallel and congruent

6-7-8

pentagon

a polygon with five sides

6-7-8

percent

the value of a ratio that compares a number to 100

6-7-8

percent of increase or decrease

an indication of how much a quantity has increased or decreased. Calculated by dividing the difference of the two numbers by the original number

6-7-8

perfect square

a number whose square root can be written as a whole number

6-7-8

perimeter

the distance around a two-dimensional shape

6-7-8

perpendicular

two lines, segments, or rays that intersect to form right angles are said to be perpendicular to each other

6-7-8

pi

the number that is the ratio of the circumference of a circle to its diameter

6-7-8

plane

a flat surface that extends in all directions without ending

6-7-8

polygon

an enclosed figure with straight line sides that meet at their endpoints

6-7-8

polynomial

a monomial or the sum of monomials

6-7-8

positive integers

an integer greater than 0

6-7-8

power

an expression containing a base and an exponent. For example, 72 or yx

6-7-8

prime

a whole number greater than 1 that has exactly two whole-number factors, 1 and itself

6-7-8

prime factorization

a number, expressed as a product of primes

6-7-8

prism

a polyhedron with two parallel faces (called bases) that are the same size and shape. Prisms are classified according to the shape of two parallel bases. The faces of a prism are always bounded by parallelograms, and are often rectangular

6-7-8

probability

a number from 0-1 that indicates the likelihood that something (an event) will happen. The closer a probability is to 1, the more likely it is that an event will happen

6-7-8

product

the result obtained by multiplying two or more numbers

6-7-8

proportion

an equation stating that two ratios are equivalent

6-7-8

pyramid

a space figure whose base is a polygon and whose other faces are triangles that share a common vertex

6-7-8

Pythagorean Theorem

for any right triangle, the sum of the squares of the lengths of the legs, a and b, equals the square of the length of the hypotenuse, c (a2 + b2 = c2)


Q-R


GRADE LEVEL(S)


TERM


DEFINITION

6-7-8

quadrant

one of the four regions in a coordinate plane formed by the coordinate axes

6-7-8

quadratic equation

is an equation of the form y = x2 or x = y2 ; its graph is a parabola

6-7-8

quadrilateral

a polygon with four sides

6-7-8

quotient

the result of a division problem; see divide

6-7-8

radical equation

equations that contain radicals with variables in the radicand

6-7-8

radical symbol

the symbol , indicating the principal or nonnegative root of an expression

6-7-8

radicand

the radicand is the expression under the radical sign

6-7-8

radius

a line segment connecting the center of a circle to any point on the circle. The word can also mean the length of this segment

6-7-8

range

1. the difference between the maximum and minimum in a set of data; 2. the set of all output values of a function

6-7-8

rate

a ratio that compares the measurements of two different attributes; example: miles per hour

6-7-8

ratio

a comparison of two quantities with like units. Ratios can be expressed with fractions, decimals, percents, and words; or they can be written with a colon between the two numbers being compared

6-7-8

rational number

a number that can be written as the ratio of two integers

6-7-8

ray

a straight path that extends infinitely from a point, called an endpoint

6-7-8

real numbers

the set of all rational and irrational numbers, or all the numbers on a number line

6-7-8

reciprocal

two numbers whose product is one; example: is the reciprocal of

6-7-8

rectangular prism

a prism with six faces, each face a rectangle

6-7-8

regular polygon

a convex polygon in which all the sides are the same length and all the angles have the same measure

6-7-8

relation

a relation is a set of ordered pairs

6-7-8

repeating decimals

a decimal that continues a pattern without end

6-7-8

rhombus

a parallelogram whose sides are equal length; the angles are usually not right angles, but they may be right angles

6-7-8

right angle

an angle that measures 90

6-7-8

right triangle

a triangle that has one angle that is equal to 90


S-T


GRADE LEVEL(S)


TERM


DEFINITION

6-7-8

scalene triangle

a triangle that has no sides of equal length

6-7-8

scientific notation

a system of representing numbers in which a number is written as the product of a power of 10 and a number that is at least 1 but less than 10

6-7-8

septagon

a polygon with seven sides

6-7-8

sides of an angle

two rays that have the same endpoint

6-7-8

similar

two figures that have the same shape, but not necessarily the same size

6-7-8

sine

in a right triangle with acute angle A, the sine of angle A = the ratio of the measure of the leg opposite angle A with the measure of the hypotenuse

6-7-8

skinny

base 10 piece used to represent ten. (Represents one tenth when working with decimals

6-7-8

slide

a motion in the plane that moves every point of a figure a specified distance along a straight line

6-7-8

slope

the ratio of the difference in y-coordinates to the difference in x-coordinates for any two points on the graph of a linear equation

6-7-8

sphere

the set of all points in space that are a given distance (the radius of the sphere) from a given point (the center of the sphere). A ball is a sphere

6-7-8

square number

a whole number that is the product of a whole number multiplied by itself.

6-7-8

square root

one of two identical factors of a number

6-7-8

standard form

the most familiar way of representing whole numbers, integers, and decimals by writing digits in specified places (example: 348)

6-7-8

straight angle

an angle that measures 180

6-7-8

supplementary angles

two angles whose measures have a sum of 180

6-7-8

surface area

the sum of the areas of all the faces of a solid figure

6-7-8

tangent

in a right triangle, with acute angle A, the tangent of angle A = the ratio of the measure of the leg opposite angle A with the measure of the leg adjacent to angle A

6-7-8

terminating decimal

a decimal that contains a finite number of digits

6-7-8

terms

numbers that are added and subtracted, or the position in a sequence

6-7-8

tessellation

repeating congruent figures that cover a surface without overlapping or leaving holes

6-7-8

triangular prism

a prism whose bases are triangles

6-7-8

trapezoid

a quadrilateral with exactly one pair of parallel sides. No two sides need to be the same length

6-7-8

triangle

a polygon with three sides


U-Z


GRADE LEVEL(S)


TERM


DEFINITION

6-7-8

unfair game

a game that all players do not have an equal chance of winning

6-7-8

variable

a letter or other symbol that represents a number. A variable need not represent one specific number; it can stand for many different values

6-7-8

vertical angles

intersecting lines form two pairs of vertical angles. Angles that do not share a side

6-7-8

vertex

the point at which the rays of an angle, two sides of a polygon, or the edges of a polyhedron meet

6-7-8

volume

the measure of the how much space is occupied by a solid figure. Volume is measured in cubic units

6-7-8

whole numbers

the set of natural numbers and zero

6-7-8

word expression

an algebraic expression written in words

6-7-8

x-coordinate

the first number of an ordered pair, the position of the point relative to the horizontal axis

6-7-8

x- intercept

the x-coordinate of the point where a graph crosses the x-axis

6-7-8

y-coordinate

the second number of an ordered pair, the position of the point relative to the vertical axis

6-7-8

y-intercept

the y-coordinate of the point where a graph crosses the y-axis




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