absolute value: (130, 131) The absolute value of a number, written with a double bar, is its distance from 0. Thus the absolute value of 3 is 3, the absolute value of –3 is 3.
acute angle: (362, 363) An angle less than 90 degrees in measure.
acute triangle: (366) A triangle in which every angle is acute.
addend: (18) A number that is added.
angle: (362)Two rays with the same endpoint.
arc: (372)A part of a circle.
area: (64, 65)The measure of a plane region in square units.
associative property: (6, 7) The sum (product) of three or more numbers is the same regardless of grouping: (a + b) + c = a + (b + c) and (ab)c = a(bc).
average: (46, 47) See mean.
axis: (148, 149) See coordinate axes.
base: (120) (in exponential notation) See exponents.
base: (6) (in numeration systems) The type of grouping used in a system. The decimal system is base ten.
base: (78-83) (of a polygon) Any side may be called the base of a polygon.
Base: (78-83) (of a solid) The area of whatever the base of the figure happens to be. (rectangle: A=lw circle: A=pi r2 etc.)
basic counting principle: (310, 311) If one thing can be done m ways, and a second thing done n ways, then the two things can be done in m x n ways.
bias: (358) Systematic error in gathering data.
bis: (378) See bisect.
bisect: (378, 379) To divide a geometric figure into two congruent parts.
box and whiskers graph: (48, 49) A graph which shows how a collection of data are grouped and spread.
capacity: (85)The volume of a solid in terms of liquid measure.
central angle: (372) (of a circle) An angle with its vertex at the center of a circle.
chord: (372) (of a circle) A line segment with endpoints on the circle.
circle: (68, 69, 372, 373) A set of points which are all the same distance from a given point, called the center of the circle.
circumference: (68) (of a circle) The distance around the circle.
combination: (318, 319) A selection of a number of objects from a set, without regard to order.
commission: (284, 285) Pay based on a percent of sales.
commutative property: (6) The sum (product) of two numbers is the same regardless or order: a + b = b + a and ab = ba.
complementary angles: (362, 363) Pair of angles whose measures have a sum of 90 degrees.
composite number: (168, 169) A whole number with at least two different factors.
concentric circles: (372) Circles with the same center.
cone: (82, 83) A solid with a circular base and one vertex.
congruent: (440, 441) Having the same size and shape.
construction: (436, 437) A drawing of a geometric figure made only with compass and straightedge, and without measuring tools.
coordinate axes: (148, 149) Two intersecting lines (number lines) used for graphing ordered number pairs.
coordinates: (148, 149) An ordered pair of numbers that is matched with a pint in the coordinate plane.
cross products: (192) In the equation a/b = c/d, the products ad and bc are called cross products. The two ratios are equal if and only if ad = bc.
cube: (120, 121) (number) A number raised to the third power.
cube: (80, 81) (solid) A solid whose faces are congruent squares.
cylinder: (80, 81) A solid with parallel circular bases.
data: (12) A collection of facts, usually measures or frequency counts.
decagon: (66, 67) A polygon with ten sides.
degree: (362, 363) A unit of measure for angles, 1/90 of a right angle.
denominator: (192) In the fraction a/b, b is the denominator.
diagonal: (64-67) A segment connecting two nonadjacent vertices.
diameter: (372, 373) (of a circle) A chord that contains the center of the circle.
differences: (134, 135) The number resulting from subtraction.
digit: (6) One of the basic symbols used in a place-value system. The base ten numerals are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
distributative property: (6) Relates multiplication and addition as follows:a( b + c ) = ab + ac.
dividend: (136, 137) The number to be divided in a division problem.
divisible: (166, 167) One number is divisible by another if the remainder is zero.
divisor: (136, 137) See dividend.
dodecahedron: (366, 367) A solid with twelve faces.
edge: (66, 67) A segment that is the side of a face on a polygon.
ellipse: (478) A plane curve generated by a point P moving in such a way that the sum of the distances from P to two fixed points F and G never changes.
equally likely outcomes: (334-351) Outcomes that have the same chance of occurring.
equation: (94,95) A mathematical sentence using the equality symbol (=). x + 3 = 1 is an equation.
equilateral triangle: (366, 367) A triangle with all three sides the same length.
equivalent fractions: (192) Fractions that represent the same number.
estimate: (15) An approximation for a given number. Often used in the sense of a rough calculation.
event: (336, 337) A set of one or more outcomes in a sample space.
expanded form: () A number represented as a sum of products,
such as
435 = 400 + 30 + 5 or 483.5 = 4 x 102 + 8 x 10 + 3 x 1 + 5 x 10-1.
exponent:(120,121) A number that tells how many times another number (the base) is to be used as a factor. In 125 = 5 x 5 x 5 = 53 , 5 is the base and 3 is the exponent. (Also called the degree or power.)
experimental probability:(338,339) An estimate of the probability
of an event found by repeated trials, such as tossing a coin repeatedly
to determine the probability of getting a head.
Exp P(an event) = number of successful trials divided by number
of trials in all.
expression:(54,55) (algebraic) Any combination of variables, numbers, operations, and parentheses that represents a number or range of numbers.
face:(76-79) Any polygonal region that is part of the surface of a polygon.
factor: (164,165) A number or expression to be multiplied.
factorial:(312,313) The products 1 x 2 x 3 x ….x (n –1) x n is n factorial. It is written n!. 0! is defined to be 1.
flowchart:(52,53) A diagram that organizes steps or instructions in a logical sequence.
fraction:(192,193,196,200,201) The quotient of two numbers in the form a/b.
frequency table: (42,43) A table that gives the number of times each outcome or group of outcomes occurs in a set of data.
function:(116,117) A rule, often given as an equation, table, or graph that relates each member (usually a number) from one set of numbers to a specific member of another set. The equation y = 2x is a function that doubles each number x.
greatest common factor (GCF): (176,177) The GCF of two or more numbers is the greatest number that is a factor of each of them.
greatest possible error (GPE): Half of the basic unit in which a measurement is given. Example: the GPE of a measurement of 13 ft is 0.5 ft.
heptagon:(366,367) A seven-sided polygon.
hexagon:(366,367) A six-sided figure.
hypotenuse: (402,403)The side of a right triangle opposite the right angle.
improper fraction: (192) A fraction whose numerator is greater than its denominator.
inductive reasoning:(452-455) Making a conclusion based on patterns, generalizing from examples.
integer: (130-149) A whole number or the opposite of a whole number.
inverse operations:(100,101) Operations that undo each other. Adding 5 is the inverse of subtracting 5.
interest: (296,297,306) A percent of money borrowed or loaned, as payment for the use of that money by the borrower.
irrational number:(396,397) A number that cannot be represented exactly as a quotient of two integers, such as the square root of 5 or – pi. Irrational numbers have nonrepeating, nonterminating decimal representations.
isosceles triangle:(366,367) A triangle with at least two congruent sides.
least common denominator (LCD): (200,201) The LCM of the deminominators of two or more fractions. The LCD of 5/6 and 3 /4 is 12.
least common multiple (LCM): (178,179) The smallest nonzero number that is a multiple of two or more whole numbers is their LCM. The LCM of 6 and 4 is 12.
linear function: (152,153) A function whose graph forms a straight line. The equation for a linear function can always be written as y = ax + b, where a and b are any numbers.
lowest-terms fraction: (192,193) A fraction for which the GCF of the numerator and denominator is 1.
mean: (46,47) The quotient obtained when the sum of two or more numbers is divided by the number of addends. An average is another name for the mean.
median: (46,47) The middle number of a set of numerical data arranged from least to greatest. If there is no single middle number, it is the mean of the two middle numbers.
midpoint: (376-379) That point halfway between the endpoints of a line segment.
mixed number: (192,196,202,203) A number that has both a whole number part and a fractional part.
mode: (46,47) The most common value in a set of data. There may be no mode, one mode, or several modes.
multiple: (164,165) (of a number) Any product of that number and a whole number.
negative integer: (134,135) Number that is less than 0 and the opposite of a whole number.
nonagon: (366,367) A nine-sided polygon.
numeral: (10,11) A symbol for a number.
numerator: (192) For a fraction x/y the numerator is x.
obtuse angle: (362,363) An angle whose measure is greater than 90 degrees and less than 180 degrees.
obtuse triangle: (366,367) A triangle with one obtuse angle.
octagon: (366,367) An eight-sided polygon.
ones property: (6) See property of one.
opposites property: (194) The sum of any number and its opposite is zero.
ordered pair: (150,151) Two numbers in a particular order, often associated with points on the coordinate plane.
origin: (150,151) The ordered pair ( 0, 0 ) at which coordinate axes intersect.
outcome: (334-339) See sample space and event.
parallel lines: (362,363,376,377) Lines in the same plane, that do not intersect.
parallelogram: (66,67) A quadrilateral with opposite sides parallel (and equal in length).
pentagon: (366,367) A five-sided polygon.
percent: (256,257) Literally, “per hundred.” 6% means the ratio 6 per hundred.
perimeter: (71) The sum of the length of the sides of a polygon.
period: (4,5) In a decimal numeral, each group of three digits, starting with the unit digit, is a period.
permutation: (312,313,318) A selection of a number of objects from a set, and in a particular order.
perpendicular: (376,377) Two flat figures (lines, planes, polygons, segments) are perpendicular if they meet at right angles.
perpendicular bisector: (378,379) A line that is perpendicular to a segment and bisects it.
pi: (68) The ratio of the circumference of a circle to its diameter; and irrational number approximated by 3.141592654.
place value: (4,5) The value given to a place a digit may occupy in a numeral. In the decimal system, the value of each place is 10 times the value of the place to its right.
polygon: (366,367) A plane figure formed by line segments that is closed (which means it has one inside and one outside.)
polyhedron: (388) A solid whose surface is made up of polygonal regions. It is closed.
positive number: (130,131) A number greater than zero.
precision: (50,51) One measurement is more precise than another if the first measurement uses a smaller unit and has a smaller GPE.
prime factorization: (172,173) The expression of a composite number as a product of prime factors.
prime number: (168,169) A whole number greater than 1 that has only the factors of 1 and itself. There are exactly two factors. (1 is not a prime number because it only has 1 factor.)
principal: (296,297) Money loaned, usually at a given interest rate and for a specified time.
prism: (80,81) A solid whose bases are congruent parallel polygons, and whose sides are parallelograms.
probability: (334,335) (of an event) The ratio of the number of ways an event can occur to the total number of possible outcomes.
product: (136,137) The result of multiplication.
properties of equality: (6,7) Properties that allow one to change each side of an equation in the same way ( such as adding the same value to each side), so that the result is also an equation.
property of one: (6,7) The product of any number x and 1 is x.
property of zero: (6,7) The sum of any number x and 0 is x.
proportion: (226,227) An equation stating that two ratios are equal.
protractor: (362,363) An instrument for measuring the number of degrees in an angle.
pyramid: (82,83) A solid with a polygonal base and triangular faces with a common vertex.
Pythagorean Property (Theorem): (402,403) In a right triangle, the sum of the areas on the squares of the legs equals the area on the square of the hypotenuse. The formula is a2 + b2 = c2.
quadrilateral: (366,367) A four-sided polygon.
quotient: (136,137) The result of division. See also dividend.
radius: (372) A segment whose endpoints are the center of a circle and any point on the circle. Also the length of such a segment. Half the diameter.
random: (350,351) An object (number) is selected randomly if it is selected in a way that gives all possible objects an equal chance.
rate: (228,229) A ratio of two quantities with different units of measure..
ratio: (226,227) A comparison of two numbers, usually.
rational number: (196-199) The quotient of two integers.
ray: (378,379) A part of a line with one endpoint; a ray continues without end in one direction.
real number: (164-181) A rational or irrational number; any number on a number line.
reciprocals: (208,209) Two numbers whose product is 1. The reciprocal of x is 1/x.
rectangle: (66,67) A parallelogram with four right angles.
reflection: (422,423) A transformation (motion) of a geometric figure as be a mirror. Triangle ABC and Triangle A1 B1 C1 are reflections of each other.
regular polygon: (366,367) A polygon with congruent sides and congruent angles.
regular polyhedron: (366,367) A solid, such as a cube, all of whose faces are congruent regular polygons. There are only five different regular polyhedra (also called Platonic solids).
relatively prime: (168,169) Two numbers are relatively prime if their GCF is 1.
repeating decimal: (198) A decimal whose digits after a given place repeat endlessly. 25 divide 99 = 0.25252525. . . = 0.25
rhombus: (66,67) A parallelogram with congruent sides.
right angle: (406-409) An angle that measures 90 degrees.
right triangle: (406-409) A triangle with one right angle.
rotation: (424,425) A transformation (motion) of a geometric figure resulting form a tuwn about any given point. Triangle ABC and Triangle A1 B1 C1 are rotations of each other.
sample space: (334,335) The set of all possible outcomes of an experiment. The sample space of a coin toss consists of the two outcomes heads and tails.
scale drawing: (234,235) A drawing of an object in which the lengths in the drawing are proportional to the actual lengths of the object.
scalene triangle: (366,367) A triangle all of whose angles have different measures.
scientific notation: (214,215) A system of writing numbers using exponents and powers of ten. Thus, 2,300,000 would be written 2.3 x 106.
secant: (372) A line that intersects a circle at two points.
segment: (378,379,436,437) Two points and all the points in between them.
similar figures: (438,439) Figures that are the same shape, but not necessarily the same size.
skew lines: (426) Lines in space that are not parallel and do not intersect.
solid: (76-83) A continuous three-dimensional geometric figure whose points do not all lie in the same plane.
space figure: (76-83) See solid.
sphere: (80-83) A solid composed of all points that are the same distance from a given point (the center).
square: (66,67) (geometry) A quadrilateral with four congruent sides and four congruent angles.
square: (392,393) (numeration) The square of a number p is q = p x p, also written p2.
square root: (392,393) The square root of x of a number x is a number y such that y x y = x. If y is positive, then –y is the negative square root.
stem and leaf plot: (40,41) A system for organizing and presenting numerical data so that frequencies can be compared.
straight angle: (362,363) An angle with a measure of 180 degrees; a straight line.
supplementary angles: (362,363) Two angles with measures that add to 180 degrees.
surface area: (76,77) The sum of the areas of all the surfaces of a solid.
tangent: (372) (to a circle) A line that intersects the circle in one point.
tangent ratio: (242,243) In a right triangle, the tangent ratio of a lesser angle is the quotient of the length of the let opposite the angle and the length of the leg that makes up part of the angle.
terminating decimal: (198) A decimal that represents the quotient of an integer and a power of ten.
tetrahedron: (366,367) A polyhedron with four faces, all triangles.
tesselation: (368,369) An infinite set of congruent figures that can be fitted together without overlap to fill a plane completely, like floor tiles.
translation: (420,421) A transformation (motion) of a geometric figure by a side, and without rotation.
transversal: (362,363) Given two lines, any line that intersects them is a transversal of the two lines.
trapezoid: (66,67) A quadrilateral with exactly one pair of parallel sides.
tree diagram: (310,340,341) A way to diagram sequences of possible options or divisions.
triangle: (366,367) A three-sided polygon.
unit: (230,231) An amount or quantity used as a standard of measure.
unit price: (230,231) The cost per unit (such as pound, liter, ounce) of a given item, used to simplify comparing prices of similar goods.
variable: (22,23) A letter or other symbol that stands for a number ( or numbers) in an expression or mathematical sentence.
vertex: (364,365) The common point of the two rays of an angle. Also the common point of two sides of a polygon, or the common point of three or more faces of a polyhedron.
volume: (78-83) The measure of a solid, in terms of a unit cube.
whole number: (196-207) Any of the numbers 0, 1, 2, 3, 4, . . .
zero property: (6) See property of zero.
Source: Addison-Wesley Mathematics 8th Grade edition
Addison-Wesley Publisher
Copyright: 1991
ISBN: 0-201-27801-4