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Math Vocabulary List

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Terms Introduced in the<br />

Grades K–4 Glossary:<br />

acute<br />

addend<br />

angle<br />

associative property of addition<br />

associative property of multiplication<br />

average<br />

axes<br />

bar graph<br />

capacity<br />

cardinal number<br />

central tendency<br />

circle<br />

circumference<br />

common denominator<br />

common multiple<br />

commutative property of addition<br />

commutative property of multiplication<br />

cone<br />

congruent figures<br />

cylinder<br />

data<br />

denominator<br />

difference<br />

discrete<br />

dividend<br />

divisible<br />

divisor<br />

edge<br />

equation<br />

equilateral<br />

estimate<br />

even number<br />

expanded form<br />

face<br />

fact<br />

factor<br />

figure<br />

flip<br />

fraction<br />

fraction families<br />

grid<br />

hexagon<br />

horizontal<br />

identity property of addition<br />

identity property of multiplication<br />

inequality<br />

integer<br />

intersecting lines<br />

isosceles triangle<br />

line<br />

line graph<br />

line of symmetry<br />

mean<br />

measure of central tendency<br />

median<br />

mixed number<br />

mode<br />

multiple<br />

nonstandard units of measure<br />

number line<br />

number sentence<br />

numerator<br />

obtuse<br />

octagon<br />

odd number<br />

operation<br />

ordered pair<br />

ordinal number<br />

parallel lines<br />

parallelogram<br />

pattern<br />

pentagon<br />

perimeter<br />

perpendicular lines<br />

point<br />

polygon<br />

polyhedron<br />

probability<br />

product<br />

pyramid<br />

quadrilateral<br />

quotient<br />

ray<br />

rectangle<br />

reflection<br />

regular polygon<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 29


emainder<br />

rhombus<br />

right angle<br />

right triangle<br />

rotation<br />

sample<br />

scalene<br />

side<br />

similar figures<br />

slide<br />

solid<br />

sphere<br />

square<br />

standard form<br />

standard units of measure<br />

sum<br />

survey<br />

symmetrical<br />

transformation<br />

translation<br />

trapezoid<br />

trend<br />

triangle<br />

turn<br />

variable<br />

vertex<br />

vertical<br />

volume<br />

whole number<br />

word form<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 30


Terms Introduced in the<br />

Grades 5–7 Glossary:<br />

analyze<br />

approximate<br />

argument<br />

chart<br />

combination<br />

compare<br />

conclude<br />

conjecture<br />

contrast<br />

cube<br />

diagram<br />

distributive property of multiplication<br />

over addition<br />

equivalent fractions<br />

evaluate<br />

evidence<br />

exponent<br />

expression<br />

function machine<br />

gram<br />

graph<br />

greatest common factor<br />

improper fraction<br />

infer<br />

interpret<br />

investigate<br />

irrational number<br />

justify<br />

least common multiple<br />

liter<br />

meter<br />

method<br />

metric prefixes<br />

order of operations<br />

outlier<br />

percent<br />

place value<br />

population<br />

precision<br />

predict<br />

prime number<br />

prism<br />

proportion<br />

random sample<br />

ratio<br />

rational number<br />

real number<br />

reasonable<br />

represent<br />

revise<br />

rule<br />

sample space<br />

sequence<br />

simplest form<br />

solution<br />

solve<br />

stem-and-leaf plot<br />

strategy<br />

symbol<br />

table<br />

t-chart<br />

three-dimensional figure<br />

two-dimensional figure<br />

unknown<br />

validate<br />

verify<br />

zero property of addition<br />

zero property of multiplication<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 31


A Framework for Achieving the Essential Academic Learning<br />

Requirements in <strong>Math</strong>ematics Grades 5–7 Glossary<br />

acute<br />

addend<br />

see angle and triangle<br />

any number that is added<br />

addend + addend = sum<br />

analyze<br />

angle<br />

to break up a whole into its parts; to examine in detail so as to determine the<br />

nature of<br />

two rays that share an endpoint; named according to the number of degrees of<br />

its measure<br />

acute angle<br />

(greater than 0°<br />

but less than 90°)<br />

right angle<br />

(equal to 90°)<br />

obtuse angle<br />

(greater than 90°<br />

but less than 180°)<br />

straight angle<br />

(equal to 180°)<br />

approximate<br />

argument<br />

associative property<br />

of addition<br />

to obtain a number close to an exact amount<br />

a reason or reasons offered for or against something; suggests the use of logic and<br />

facts to support or refute a point<br />

the sum stays the same when the grouping of addends is changed<br />

Example: (a b) c a (b c)<br />

(30 4) 20 30 (4 20)<br />

associative property<br />

of multiplication<br />

the product stays the same when the grouping of factors is changed<br />

Example: (a b) c a (b c)<br />

(2 3) 4 2 (3 4)<br />

average<br />

a measure of central tendency; a number somewhere in the middle of data ordered<br />

from least to greatest, or a number with a lot of data clustered around it. There are<br />

three types of averages: mean, median, and mode.<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 32


axes<br />

perpendicular lines used as reference lines in a coordinate system or graph; the<br />

horizontal line is the x-axis; the vertical line is the y-axis<br />

y<br />

3<br />

2<br />

1<br />

-3 -2 -1<br />

-1<br />

0 1 2 3<br />

-2<br />

-3<br />

x<br />

bar graph<br />

a graph that uses the length of solid bars to represent numbers and compare data<br />

Favorite Dog Breed Survey<br />

12<br />

Number of Votes<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

Cocker<br />

Spaniel<br />

Collie<br />

German<br />

Shepherd<br />

Golden<br />

Retriever<br />

Poodle<br />

Doberman<br />

Chihuahua<br />

None<br />

Breed of Dog<br />

capacity<br />

cardinal number<br />

the volume of material or liquid that can be poured into a container<br />

a number that designates the “manyness” of a set of objects, or the number of<br />

units in the set; answers the question “How many…”<br />

Example: 34 and 50,098<br />

Copyright © 1998 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 33


central tendency<br />

a single number that describes all the numbers in a set<br />

Example: For the set of numbers 95, 86, 82, and 83, the mean is 89.<br />

chart<br />

circle<br />

a method of displaying information in the form of graphs or tables<br />

a set of points in a plane that are all the same distance from the center point<br />

p<br />

circumference<br />

the boundary line, or perimeter, of a circle; also, the length of the perimeter of a circle<br />

circumference<br />

combination<br />

common denominator<br />

a group of objects, numbers, or events; changing the order does not create a new<br />

combination (1, 2, 3 is the same combination as 3, 1, 2)<br />

a number divisible by all of the denominators being considered; also known as a<br />

common multiple of the denominators<br />

Example: 1 2 1 3 <br />

Multiples of 2 {0, 2, 4, 6, 8, 10, 12,…}<br />

Multiples of 3 {0, 3, 6, 9, 12, 15,…}<br />

Multiples common to both sets, other than zero, include 6 and 12. (There are<br />

infinite numbers of common multiples as the sets continue, i.e., 18, 24, 36, etc.)<br />

Any of these numbers can be used as common denominators for the two fractions.<br />

6 <br />

2<br />

4 <br />

2<br />

5 6 1 0<br />

1<br />

2<br />

1 2 3 6 OR 1 2 1<br />

1 3 2 6 1 3 1<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 34


common multiple<br />

a number that is a multiple of each of two or more numbers; used to find a common<br />

denominator when operating with fractions having unlike denominators<br />

Example: 24 is a common multiple of 2, 3, and 8<br />

commutative property<br />

of addition<br />

it makes no difference in which order two numbers are added (the commutative<br />

property does not apply to subtraction)<br />

Example:<br />

a b b a<br />

4 50 50 4<br />

commutative property<br />

of multiplication<br />

it makes no difference in which order two numbers are multiplied (the commutative<br />

property does not apply to division)<br />

Example:<br />

a b b a<br />

3 5 5 3<br />

compare<br />

conclude<br />

cone<br />

to look for similarities and/or differences<br />

to make a judgment or decision after investigating or reasoning; to infer<br />

a three-dimensional figure with one circular or elliptical base and a curved surface<br />

that joins the base to the vertex<br />

cones<br />

vertex<br />

vertex<br />

congruent figures<br />

figures that have the same shape and size<br />

congruent triangles<br />

conjecture<br />

contrast<br />

cube<br />

inference or judgment based on inconclusive or incomplete evidence; guesswork<br />

to emphasize differences<br />

a rectangular prism having six congruent square faces<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 35


cylinder<br />

a solid figure with two circular or elliptical bases that are congruent and parallel<br />

to each other<br />

data<br />

denominator<br />

diagram<br />

difference<br />

discrete<br />

collected pieces of information<br />

the number below the fraction bar; indicates the number of equivalent pieces into<br />

which something is divided<br />

a drawing that represents a mathematical situation<br />

the number found when subtracting one number from another; the result of<br />

a subtraction operation; the amount by which a quantity is more or less<br />

than another number<br />

composed of distinct parts or discontinuous elements; a set of numbers, or points,<br />

that has no limit points<br />

Example:<br />

discrete — taking coins out of your pocket one at a time;<br />

non-discrete (or continuous) — pouring water from one container to<br />

another container<br />

distributive a property of real numbers stating that a (b c) (a b) (a c)<br />

property of<br />

where a, b, and c stand for any real numbers<br />

multiplication<br />

over addition Example: 3 (40 5) (3 40) (3 5)<br />

dividend<br />

a number which is to be divided by another number<br />

dividend divisor quotient 15 3 5<br />

quotient<br />

divisor dividend<br />

5<br />

3 15<br />

divisible<br />

divisor<br />

a whole number is divisible by another whole number if the remainder equals zero<br />

when you divide<br />

the number by which the dividend is to be divided; also a factor<br />

quotient<br />

divisor dividend<br />

dividend<br />

.<br />

divisor = quotient<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 36


edge<br />

the line segment formed by the intersection of two faces of a solid figure;<br />

a cube has 12 edges<br />

edge<br />

edge<br />

equation<br />

a number sentence which shows equality between two sets of values<br />

Example: 4 8 6 6<br />

equilateral<br />

equivalent<br />

fractions<br />

estimate<br />

evaluate<br />

even number<br />

see triangle<br />

fractions that name the same number<br />

9<br />

Example: 3 4 and 6 8 and are equivalent fractions<br />

12 to find an approximate value or measurement of something<br />

to examine and judge carefully; appraise<br />

a whole number divisible by two<br />

Example: 0, 4, 678<br />

evidence<br />

expanded form<br />

models, known facts, patterns, relationships, and counterexamples<br />

a number written in component parts showing the cumulative place values of<br />

each digit in the number<br />

Example: 546 500 40 6<br />

exponent<br />

a numeral written above and to the right of another numeral to indicate how many<br />

times the original number is used as a factor<br />

Example: The exponent “3” in 4 3 means 4 is a factor 3 times, 4 4 4.<br />

expression<br />

a variable or combination of variables, numbers, and symbols that represent a<br />

mathematical relationship<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 37


face<br />

a flat surface, or side, of a solid figure<br />

face<br />

face<br />

fact a basic mathematical statement involving numbers and operations; ex. 3 5 = 8,<br />

10 2 5<br />

factor<br />

one of two or more numbers that are multiplied together to obtain a<br />

product; factor factor product<br />

Example: 4 3 12, 4 and 3 are factors<br />

figure<br />

flip<br />

fraction<br />

a closed geometric shape in 2 or 3 dimensions<br />

the effect of a flip is a reflection; see reflection<br />

a way of representing part of a whole or part of a group by telling the number of<br />

equal parts in the whole and the number of those parts you are describing; it is<br />

written in the form<br />

numerator<br />

d<br />

where the numerator can be any integer and the<br />

enominator<br />

denominator can be any integer except zero<br />

Example: 2 3 , 5 6<br />

2<br />

3, 16<br />

76<br />

5, 0<br />

3<br />

4, 8 1 <br />

fraction families<br />

fractions having denominators that are multiples of a single number; ex. halves,<br />

fourths, eighths, and sixteenths; thirds, sixths, and ninths<br />

5<br />

Example: 2 4 , 3 8 , have denominators that are multiples of 4<br />

12<br />

function<br />

machine<br />

applies a function rule to a set of numbers which determines a<br />

corresponding set of numbers<br />

Example:<br />

9 ➞ Input ➞<br />

Rule<br />

x 7<br />

➞ Output ➞ 63<br />

If you apply the function rule “multiply by 7” to the values 5, 7, and 9,<br />

the corresponding values would be:<br />

5 ➞ 35<br />

7 ➞ 49<br />

9 ➞ 63<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 38


gram<br />

graph<br />

greatest common<br />

factor<br />

grid<br />

a basic unit in the metric system measuring mass/weight; the mass of 1 cubic<br />

centimeter of water at 4 degrees Celsius<br />

a “picture” showing how certain facts are related to each other or how they compare<br />

to one another<br />

the largest factor of two or more numbers; often abbreviated as GCF<br />

Example: to find the greatest common factor of 24 and 36<br />

factors of 24 {1, 2, 3, 4, 6, 8, 12, 24}<br />

factors of 36 {1, 2, 3, 4, 6, 9, 12, 18, 36}<br />

common factors of 24 and 36 are {1, 2, 3, 4, 6, 12}, the largest being 12<br />

12 is the greatest common factor of 24 and 36<br />

a pattern of regularly spaced horizontal and vertical parallel lines drawn on a map or<br />

chart with ordered pairs of numbers that can be used to locate points<br />

4<br />

3<br />

2<br />

1<br />

0 1 2<br />

3<br />

(3, 4)<br />

4<br />

hexagon<br />

a six-sided polygon<br />

regular hexagon<br />

nonregular hexagons<br />

horizontal<br />

identity property<br />

of addition<br />

identity property<br />

of multiplication<br />

improper fraction<br />

extending side to side, parallel to the horizon<br />

adding zero to a number gives a sum identical to the given number<br />

multiplying a number by 1 gives a product identical to the given number<br />

a fraction in which the numerator is equal to or greater than the denominator<br />

Example: 1 5<br />

1<br />

, 5 5 3 <br />

inequality<br />

infer<br />

integer<br />

two sets of values that are not equal<br />

to draw a conclusion from facts or evidence<br />

the counting numbers (1, 2, 3,...), their opposites (-1, -2, -3,...), and zero<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 39


interpret<br />

intersecting lines<br />

to explain the meaning of information, facts, and/or observation<br />

lines that meet at a point<br />

P<br />

investigate<br />

irrational number<br />

to research using careful observation and examination of the facts; to inquire<br />

a number that cannot be expressed as a ratio of two integers<br />

Example: 2<br />

isosceles triangle<br />

a triangle with 2 congruent sides; an alternate definition is a triangle with at least<br />

2 congruent sides (there is no common agreement on a definition of an isosceles<br />

triangle)<br />

justify<br />

least common<br />

multiple<br />

to prove or show to be true or valid using logic and/or evidence<br />

the smallest number, besides zero, that is a multiple of a set of two or more<br />

numbers; often abbreviated LCM<br />

Example: to find the least common multiple of 4 and 12<br />

multiples of 4 {0, 4, 8, 12, 16,…}<br />

multiples of 12 {0, 12, 24, 36,…}<br />

The lowest common number besides 0 in both sets is 12, so the LCM of 4 and<br />

12 is 12.<br />

line<br />

a set of points extending infinitely in opposite directions<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 40


line graph<br />

a graph that uses a line to show that something is increasing, decreasing, or<br />

staying the same over time<br />

Amount of Snow Fall<br />

12<br />

Inches of Snow<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

Nov. Dec. Jan. Feb. Mar. Apr.<br />

line of symmetry<br />

a line on which a figure can be folded into two parts that are congruent mirror<br />

images of each other<br />

not a line<br />

of symmetry<br />

line of<br />

symmetry<br />

not a line of<br />

symmetry<br />

liter<br />

mean<br />

a basic unit of measure in the metric system measuring capacity/volume; one<br />

cubic decimeter; a little more than a quart; 1000 cubic centimeters<br />

an average obtained by dividing the sum of the data items by the number of data<br />

items<br />

Example: If there are three classes: A 24 children, B 25 children, and<br />

C 23 children, the classes would be balanced by moving one student from<br />

class B to class C, thus making each class the same size (24). This number<br />

would indicate the average class size. Arithmetically, it is obtained by adding all<br />

data points together and dividing the sum by the number of points<br />

(24 25 23 72; 72 divided by 3 24).<br />

measure of central<br />

tendency<br />

see average<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 41


median<br />

the number in the middle of a set of data arranged in order from least to greatest<br />

or from greatest to least; or the average of the two middle terms if there is an<br />

even number of terms<br />

Example:<br />

For the data: 6, 14, 23, 46, 69, 72, 94 ➜ The median is 46 (the middle number)<br />

For the data: 6, 14, 23, 69, 72, 94 ➜ The median is also 46 (the average of the<br />

two middle numbers in the list)<br />

meter<br />

method<br />

metric prefixes<br />

a unit of linear measure in the metric system, a little more than a yard<br />

a systematic way of accomplishing a task<br />

prefixes used to describe the relationship between measures in the metric<br />

system; the most common prefixes are:<br />

kilo- hecto- deka- (unit) deci- centi- milli-<br />

(k) (h) (da) (g,m,l) (d) (c) (m)<br />

1000 100 10 1 1/10 1/100 1/1000<br />

Example: 2 kg 2 kilograms 2000 grams<br />

3 cm 3 centimeters .03 m<br />

mixed number<br />

a number expressed as the sum of an integer and a fraction<br />

Example: 6 2 3 <br />

mode<br />

the number that occurs most frequently in a set of data<br />

Example: For the set of data {42, 36, 75, 75, 80}, 75 is the mode because it<br />

occurs most often. For the set of data {25, 45, 25, 55, 45, 65}, 25 and 45 are the<br />

modes. If no number occurs most often, then the set of data has no mode.<br />

multiple<br />

a number that is divisible by a given factor; a multiple of a whole number can be<br />

found by multiplying it by any whole number other than one<br />

Example: 56 is a multiple of 7; 0 is a multiple of 34<br />

nonstandard<br />

units of measure<br />

measurement units that are not commonly accepted as standard but are<br />

applied uniformly when measuring<br />

Example: paperclips, pencils, cubes<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 42


number line<br />

a line that shows numbers ordered by magnitude from left to right or bottom to<br />

top; an arrowhead at each end indicates that the line continues endlessly in both<br />

directions; points are marked to subdivide the line into intervals that correspond<br />

to indicated numbers<br />

-2 -1 0 1 2<br />

-1 2.7<br />

number lines<br />

3<br />

2<br />

1<br />

0<br />

-1<br />

-2<br />

-3<br />

number sentence<br />

an expression of a relationship between quantities as an equation or an inequality<br />

Example: 7 7 8 6<br />

14 92<br />

56 4 59<br />

numerator<br />

obtuse<br />

octagon<br />

the number above the line in a fraction; indicates the number of equivalent parts<br />

being considered<br />

see angle and triangle<br />

an eight-sided polygon<br />

regular<br />

octagon<br />

nonregular<br />

octagons<br />

odd number<br />

a whole number that is not divisible by two<br />

Example: 53, 701<br />

operation<br />

a mathematical process that combines numbers; basic operations of<br />

arithmetic include addition, subtraction, multiplication, and division<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 43


ordered pair<br />

order of<br />

operations<br />

two numbers for which their order is important when used to locate points on a<br />

coordinate graph; the first element indicates distance along the x-axis<br />

(horizontal) and the second indicates distance along the y-axis (vertical);<br />

see illustration for grid<br />

rules describing the order to use in evaluating numerical expressions:<br />

the order is parentheses, exponents, multiply/divide, add/subtract<br />

Example: 7 3 8 31 [multiply 3 8 before adding 7]<br />

ordinal number<br />

a number that designates the position of an object in order; first, second, and third<br />

are examples of ordinal numbers<br />

Example: Eraser is the SECOND element in the set (pencil, eraser, desk,<br />

chalkboard, book, file, paper); Z is the TWENTY-SIXTH element in the set<br />

(a, b, c, d,…, z).<br />

outlier<br />

parallel lines<br />

a number in a set of data that is much larger or smaller than most of the other<br />

numbers in the set<br />

lines that lie in the same plane and never intersect<br />

parallelogram<br />

a quadrilateral with opposite sides parallel<br />

parallelograms<br />

pattern<br />

the arrangement of numbers, pictures, etc. in an organized and predictable way<br />

Example:<br />

3, 6, 9, 12, …<br />

□ △ □ △ □ △<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 44


pentagon<br />

a five-sided polygon<br />

regular<br />

pentagon<br />

nonregular<br />

pentagon<br />

percent a special ratio that compares a number to 100 using the symbol %<br />

Example: 40% 1<br />

4<br />

<br />

0<br />

00<br />

perimeter<br />

perpendicular lines<br />

the distance around the outside of a shape or figure<br />

lines that lie on the same plane that intersect to form right angles (90 degrees)<br />

90°<br />

90°<br />

place value<br />

the value of a digit as determined by its place in a number<br />

Example: In the number 135, the 3 means 3 • 10 or 30; in the number 356, the 3<br />

means 3 • 100 or 300.<br />

point<br />

polygon<br />

polyhedron<br />

an exact position in space<br />

a closed plane figure having three or more straight sides<br />

a solid figure, the sides of which are polygons<br />

Example:<br />

population<br />

precision<br />

a group of people, objects, or events that fit a particular description<br />

an indication of how finely a measurement is made; related to the unit of<br />

measurement and the calibration of the tool<br />

1<br />

Example: Was the measurement made using a ruler marked in increments of 4 "<br />

1<br />

or increments of " <br />

16<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 45


predict<br />

prime number<br />

prism<br />

to tell about or make known in advance, especially on the basis of special<br />

knowledge or inference; to make an educated guess<br />

a number having exactly 2 factors (1 and itself); the first five prime numbers are<br />

2, 3, 5, 7, 11<br />

a 3-dimensional figure that has 2 congruent and parallel faces that are polygons<br />

and the remaining faces are parallelograms<br />

Example:<br />

probability<br />

product<br />

the numerical measure of the chance that a particular event will occur, depending<br />

on the possible events; the probability of an event is always between 0 and 1, with<br />

0 meaning that there is no chance of occurrence and 1 meaning a certainty of<br />

occurrence<br />

the result of a multiplication expression; factor factor = product<br />

Example: 3 4 12, 12 is the product<br />

proportion<br />

an equation showing that two ratios are equivalent<br />

Example: 2 3 <br />

6 9 <br />

pyramid<br />

a solid whose base is a polygon and whose faces are triangles that meet at a<br />

common point (vertex)<br />

vertex<br />

vertex<br />

pyramids<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 46


quadrilateral<br />

a four-sided polygon<br />

square<br />

rectangle parallelogram trapezoid<br />

quadrilaterals<br />

nonregular<br />

quadrilateral<br />

rhombus<br />

quotient<br />

the result of dividing one number by another number<br />

quotient<br />

divisor dividend<br />

dividend divisor quotient<br />

random sample<br />

ratio<br />

a sample in which every person, object, or event in the population has the same<br />

chance of being selected for the sample<br />

a comparison of two numbers using division<br />

Example: The ratio of two to five is 2:5 or 2 5 .<br />

rational number<br />

ray<br />

real number<br />

reasonable<br />

a number that can be expressed as a ratio of two integers<br />

34<br />

432<br />

2<br />

Example: 34 can be written as , 4.32 can be written as , 3 1 1<br />

100<br />

can be<br />

2<br />

written as 7 2 <br />

a part of a line that has one end point and extends infinitely in one<br />

direction<br />

any rational or irrational number<br />

within likely bounds; sensible<br />

Example: A reasonable estimate is close to the actual answer; an answer of<br />

1<br />

2 cans is not reasonable, while 2 cans or 3 cans is reasonable.<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 47


ectangle<br />

a parallelogram with right angles; a square is a special rectangle<br />

reflection<br />

a transformation of a figure by reflecting it over a line, creating a mirror image<br />

of the figure; the effect of a flip is a reflection<br />

reflection<br />

reflection<br />

regular polygon<br />

a polygon with equal sides and equal angles<br />

regular polygons<br />

remainder<br />

the undivided part that is left after division; it is less than the divisor<br />

Example:<br />

5 r 2<br />

6 32<br />

30<br />

2<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 48


epresent<br />

revise<br />

rhombus<br />

to present clearly; describe; show<br />

to change or modify based on guess and check or on reflection and evaluation<br />

a parallelogram with all four sides equal in length<br />

right angle<br />

an angle whose measure is 90 degrees; see angle and triangle<br />

90°<br />

right triangle<br />

a triangle having one right angle; see angle and triangle<br />

rotation<br />

turning a figure around a given point<br />

A<br />

B<br />

rotation<br />

C<br />

B'<br />

A'<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 49


ule<br />

a procedure; a prescribed method; a way of describing the relationship between<br />

two sets of numbers<br />

Example: In the following data, the rule is to add 3.<br />

Input Output<br />

3 6<br />

5 8<br />

9 12<br />

sample<br />

a portion of a population or set used in statistics<br />

Example:<br />

All boys under the age of ten constitute a sample of the population<br />

of all male children.<br />

sample space<br />

scalene<br />

sequence<br />

side<br />

a list of all possible outcomes of an activity<br />

see triangle<br />

a set of numbers arranged in a special order or pattern<br />

a line segment connected to other segments to form the boundary of a polygon<br />

side<br />

similar figures<br />

having the same shape but not necessarily the same size (congruent<br />

corresponding angles and proportional corresponding sides)<br />

similar triangles<br />

similar hexagons<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 50


simplest form a fraction with a numerator and denominator having no common factor except 1<br />

Example: The fraction<br />

2<br />

3<br />

is in simplest form, because the only number that evenly<br />

divides 2 and 3 is 1; the fraction is NOT in simplest form, because 4 and 10<br />

both have a factor of 2.<br />

4<br />

10<br />

slide<br />

solid<br />

solution<br />

solve<br />

sphere<br />

the effect of a slide is a translation; see translation<br />

a geometric figure with three dimensions<br />

result; answer; the process of finding the answer<br />

to find an answer or solution to a problem<br />

a closed surface consisting of all points in space that are the same distance from<br />

a given point (the center)<br />

ball<br />

square<br />

a rectangle with congruent sides<br />

standard form<br />

a number written with one digit for each place value<br />

Example: The standard form for five hundred forty-six is 546.<br />

The standard form for three thousand six is 3,006.<br />

standard units<br />

of measure<br />

units of measure commonly used, generally classified in the U.S. customary<br />

system or metric system<br />

Example: feet, meters, acres, gallons, liters<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 51


stem-and-leaf<br />

plot<br />

a method of organizing data from least to greatest using the digits of the greatest<br />

place value to group data<br />

Example:<br />

Ages of Adults at the Park<br />

Data set Stem Leaves<br />

23 25 29 29 2 3 5 9 9<br />

36 38 39 39 3 6 8 9 9<br />

52 54 55 55 5 2 4 5 5<br />

Key: 2|3 represents 23 years<br />

strategy<br />

sum<br />

a tool used in problem solving, such as looking for a pattern, drawing a diagram,<br />

working backward, etc.<br />

the result of addition<br />

addend addend sum<br />

survey<br />

symbol<br />

symmetrical<br />

to get an overview by gathering data<br />

a character used to represent operations, numbers, or relationships between<br />

numbers<br />

having a line, plane, or point of symmetry such that for every point on the figure,<br />

there is a corresponding point that is the reflection of that point (see line<br />

of symmetry)<br />

A<br />

B<br />

B'<br />

C<br />

C'<br />

D<br />

symmetrical<br />

symmetry<br />

table<br />

the property of being balanced about a line, plane, or point<br />

a method of displaying data in rows and columns<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 52


t-chart<br />

a table of values; an input-output table<br />

Example: Input Output<br />

1 4<br />

2 5<br />

3 6<br />

threedimensional<br />

figure<br />

transformation<br />

translation<br />

a shape having length, width, and height<br />

one of three methods for moving a figure without changing its shape or size:<br />

translations (slides), reflections (flips), and rotations (turns)<br />

a transformation of a figure by moving it without turning or flipping it in any<br />

direction; the effect of a slide is a translation<br />

translation<br />

trapezoid<br />

trend<br />

a quadrilateral that has 2 parallel sides; an alternate definition is a quadrilateral<br />

with at least 2 parallel sides (there is no common agreement on a definition of a<br />

trapezoid)<br />

the general direction or tendency of a set of data<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 53


triangle<br />

a three-sided polygon<br />

Triangles Classified Using Angle Sizes<br />

acute<br />

triangle<br />

(all angles acute)<br />

equiangular<br />

triangle<br />

(all angles equal)<br />

obtuse<br />

triangle<br />

(has one obtuse angle)<br />

right<br />

triangle<br />

(has one 90˚ angle)<br />

Triangles Classified Using Length of Sides<br />

scalene<br />

triangle<br />

(no sides equal)<br />

equilateral<br />

triangle<br />

(all sides equal)<br />

isosceles triangle<br />

(two sides equal)<br />

turn<br />

twodimensional<br />

figure<br />

unknown<br />

see rotation<br />

a shape having length and width<br />

in algebra, the quantity represented by a variable<br />

Example: In the expression 4 • w 24, the letter w is the unknown.<br />

validate<br />

variable<br />

to substantiate, verify, or confirm<br />

a quantity or symbol capable of assuming any of a set of values<br />

Example:<br />

In the expression b < 100, the variable b can be any number less<br />

than 100.<br />

verify<br />

vertex<br />

to establish as true by presentation of evidence<br />

point at which two line segments, lines, or rays meet to form an angle<br />

Example:<br />

vertex<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 54


vertical<br />

volume<br />

extending straight up and down; perpendicular to the horizon<br />

the number of cubic units it takes to fill a figure<br />

whole number any counting number or zero: 0, 1, 2, 3, . . .<br />

counting numbers<br />

(1, 2, 3, 4, 5, …)<br />

whole numbers<br />

(0, 1, 2, 3, 4, 5, …)<br />

integers<br />

(…-3, -2, -1, 0, 1, 2, 3, …)<br />

rational numbers (fractions)<br />

1 3 8<br />

such as 2, 7, …1, …<br />

word form<br />

the expression of a number in words; reading the symbols<br />

Example: 546 is “five hundred forty-six”<br />

< symbol meaning “is less than”<br />

> symbol meaning “is greater than”<br />

= symbol meaning “equals” or “is equal to”<br />

zero property<br />

of addition<br />

adding zero to a number gives a sum identical to the original number;<br />

zero is the identity element of addition (see identity property)<br />

Example: 4 0 4 56.89 0 56.89<br />

zero property<br />

of multiplication<br />

the product of any number and zero is zero<br />

Example: 4 0 0 0 456.7 0<br />

Copyright © 1999 State of Washington. Superintendent of Public Instruction. All rights reserved. 55

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