Vocabulary Cards and Word Walls

The vocabulary cards in this file match the Common Core Georgia Performance Standards. The cards are arranged alphabetically. Each card (except for Properties of Exponents) has three sections.

o Section 1 is only the word. This is to be used as a visual aid in spelling and pronunciation. It is also used when students are writing their own “kid-friendly” definition and drawing their own graphic.

o Section 2 has the word and a graphic. This graphic is available to be used as a model by the teacher.

o Section 3 has the word, a graphic, and a definition. This is to be used for the Word Wall in the classroom. (See ideas for everyday use of a Word Wall below.)

These cards are designed to help all students with math content vocabulary, including ELL, REACH, special education, and regular education students.

Ideas for everyday use of a Word Wall to develop vocabulary knowledge and fluency by the students

Give 3 cloze sentences for student to fill in with words from Word Wall (for example, We walked around the ____________ of the school.)

Have students write own sentences with words from the Word Wall. Have students share three sentences written by their cooperative group on an overhead or document

camera. Have students share examples of hearing, seeing, or using a word from the Word Wall from their

personal lives. Make a game by giving a definition for a word and students race to write the word on the board. Have students make a connection between pairs of words to help memory. Ask students to tell the two

words that they think go together or are connected in some way and to justify their reasoning. Give a clue about a word and then ask students to find the word on the wall that goes with the clue (for

example, This word names a polygon with five sides. … pentagon) Select a Word Wall word and ask students to work with a partner to create a quick web of all the words

they can think of that go with that word. Say a sentence, but leave out a word (from the wall). Have students guess which word belongs in the

sentence. Scramble the letters in a word. Give students a clue to its meaning and see if they can unscramble the

word. Share a topic with the class (e.g., multiplication) and ask students to find all of the words on the wall

that connect to the topic. Make a picture or photo book using the Word Wall words using a scrapbook format, PowerPoint, or

video. Write a story, poem, paragraph or letter including a set number of words from the Word Wall.

Source: Granite School District (Utah) Math Department

Bibliography of Definition Sources: Algebra to Go, Great Source, 2000. ISBN 0-669-46151-8 Math on Call, Great Source, 2004. ISBN-13: 978-0-669-50819-2 Math at Hand, Great Source, 1999. ISBN 0-669-46922 Math to Know, Great Source, 2000. ISBN 0-669-47153-4 Illustrated Dictionary of Math, Usborne Publishing Ltd., 2003. ISBN 0-

7945-0662-3

Math Dictionary, Eula Ewing Monroe, Boyds Mills Press, 2006. ISBN-13: 978-1-59078-413-6

Student Reference Books, Everyday Mathematics, 2007. Houghton-Mifflin eGlossary, http://www.eduplace.com Interactive Math Dictionary, http://www.amathsdictionaryforkids.com

algebraic expression

algebraic expression

2w + 75 5p2

½ x – ¾ y

algebraic expression

2w + 75 5p2

½ x – ¾ y

A mathematical phrase involving at least one

variable and sometimes numbers and operation

symbols

algorithm

algorithm

algorithm A set of predefined steps applicable to a class of problems that gives the

correct result in every case when the steps are carried

out correctly

alternate exterior angles

alternate exterior angles

alternate exterior angles

Pairs of angles formed when a third line (a transversal) crosses two other lines.

These angles are on opposite sides of the transversal and are outside the other two

lines

alternate interior angles

alternate interiorangles

alternate interior angles

Pairs of angles formed when a third line (a

transversal) crosses two other lines. These angles

are on opposite sides of the transversal and are in between the other two

lines.

angle-angle (AA Similarity)

angle-angle (AA Similarity)

angle-angle (AA Similarity)

If two angles of one triangle are congruent to two corresponding angles

in another triangle, then the triangles are similar.

bivariate data

bivariate data

bivariate data

pairs of linked numerical observations; for

example, a list of heights and weights for each

player on a football team

cluster

cluster

cluster

When data seem to be “gathered” around a particular value

coefficient

coefficient

coefficientA number multiplied by a variable in an

algebraic expression

cone

cone

cone

A three dimensional figure with a circular or elliptical

base and one vertex

congruent

congruent

congruent Two plane or solid figures are congruent if one can be obtained from the other by rigid motion (a sequence of rotations, reflections, and

translations).

corresponding angles

corresponding angles

corresponding angles

Angles that have the same relative positions

in geometric figures

cube root

cube root 64 = 43 = 4 4 4

cube root = 4

cube root

64 = 43 = 4 4 4 cube root = 4

One of three equal (identical) factors of a given number

cylinder

cylinder

cylinder A three

dimensional object with two parallel,

congruent, circular bases

data point

data point

data point

An item of information derived from

measurement or research

data point

decimal expansion

decimal expansion

decimal expansion

The usual base-10 representation of a

real number

decimal notation

decimal notation

decimal notation

Any notation that uses a combination of the ten digits 0 to

9; each digit’s position determines its value by

multiplying the digit by 10n where n represents the position of

the digit relative to the decimal point

dilation

dilation

dilation

A transformation that changes the size of an

object, but not the shape

Distributive Property

Distributive Property

Distributive Property

The sum of two addends multiplied by a number is the

sum of the product of each addend and the number.

equivalent expressions

equivalent expressions

equivalent expressions

Expressions that simplify to an equal value when numbers are substituted for the variables of the

expression.

expression

expression 5x + 3

expression 5x + 3 A group of symbols

representing numbers and operations

exterior angle

exterior angle

exterior angle

An exterior angle of a polygon is

formed when you extend a side of a

polygon

infinite

infinite

infinite

A limitless quantity

intercept

intercept

intercept The point where a graph crosses

an axis

y-intercept

x-intercept

y-intercept

x-intercept

irrational number

irrational number

irrational number

A number whose decimal form is

nonterminating and nonrepeating.

Irrational numbers cannot be written in

the form a/b, where a and b are integers (b

0).

like terms

like terms

like terms

Terms in an algebraic expression that have the

same variable raised to the same power. Only the

coefficients of like terms are different.

line of best fit

line of best fit

line of best fit

The line that best represents the trend that the points in a scatter plot follow

linear association

linear association

linear associatio

n

Two variables have a linear association if a change in one

results in a proportional change in the other; data

points on a scatter plot have a linear association if they appear to fall nearly on a

straight line.

linear relationship

linear relationship

linear relationship

A relationship that occurs when variable quantities are directly proportional to one another; a

linear relationship is one where increasing or decreasing one

variable will cause a corresponding increase or

decrease in the other variable

negative association

negative association

negative association

If the slope of the line of best fit is negative (going down from left to right), the two variables being plotted are said to be negatively correlated and the data points have a negative association.

nonlinear association

nonlinear association

nonlinear association

Occurs when data points do not

closely fall on a straight line; points may more nearly fit

a curve

origin

origin

origin

The point of intersection of the vertical and horizontal axes of a coordinate plane.

The coordinates of the origin are (0, 0).

origin

origin

outlier

outlier

outlier

A number in a data set that is significantly

smaller or larger than the other numbers. Outliers are either significantly

smaller or larger than the other numbers in the same

data set.

parallel

parallel

parallel

Two lines are parallel if they lie in the same plane and they do not intersect. Two or more planes are

parallel if they never cross (intersect) each other.

perfect cube

perfect cube 1=13 8=23 27=33 64=43 125=53

perfect cube

1=13 8=23 27=33 64=43 125=53

A number that is the cube of a whole

number. For example, 8 is a

perfect cube because 2 is a whole number

and 2 2 2 = 23 = 8.

perfect square

perfect square

1=12 4=22 9=32 16=42 25=52

perfect square

1=12 4=22 9=32 16=42 25=52

A number that is the square of a whole

number. For example, 9 is a

perfect square because 3 is a whole

number and 3 3 = 32 = 9.

point of intersection

point of intersection

point of intersection

The point at which two or more lines intersect (cross)

positive association

positive association

positive association

If the slope of the line of best fit is positive (going up from left to right), the two variables plotted are said to be positively correlated and the data points have a positive association.

Properties of Exponents

Zero Exponent

Property010 aa ,

Negative Exponent

Property01

aa

a bb ,

Product of Powers

Property 0 aaaa cbcb ,

Quotient of Powers

Property 0 aa

aa cb

cb

,

Power of a Product

Property 0

baabba ccc

,,)(

Power of a Quotient Property

0

baba

ba c

cc

,,

Power of a Power

Property 0 aaa bccb ,)(

Rational Exponent Property 0

01

baaa

baaab cbc

bb

,,

,,/

/

proportion

proportion 1:2=3:n

103

7

x

proportion 1:2=3:n

103

7

x An equation which states that two ratios are equal

Pythagorean Theorem

Pythagorean Theorem

Pythagorean Theorem

A theorem that states that in a right triangle, the square of the length

of the hypotenuse equals the sum of the squares of

the lengths of the legs.

Pythagorean Theorem Converse

Pythagorean Theorem Converse

If c2=a2+b2, then it’s a right

triangle.

Pythagorean Theorem Converse

If c2=a2+b2, then it’s a right

triangle.

If the square of one side of a triangle is equal to the sum of the squares of the

other two sides, then the triangle is a right

triangle.

rate of change

rate of change

rate of change

The rate that something

changes. The slope of a line is

the rate of change.

rational numbers

rational numbers

rational numbers

A number that can be written as a/b where a and b are integers, but

b 0. The set of rational numbers include

the natural numbers, whole numbers, and

integers.

reflection

reflection

reflection A transformation

that "flips" a figure over a mirror or reflection line

rigid transformation

rigid transformation

rigid transformation

A transformation of points in space consisting of a

sequence of one or more translations, reflections, and/or rotations. Rigid

motions are here assumed to preserve distances and angle

measures.

rotation

rotation

rotation

A transformation that turns a figure about a fixed point at a given angle and a given

direction

scale factor

scale factor

scale factor

The ratio of corresponding lengths

of the sides of two similar figures

scatter plot

scatter plot

scatter plot

The graph of a collection of ordered pairs that allows an exploration of the

relationship between the points

scientific notation

scientific notation

scientific notation

A way to express a very large or very

small number as the product of a number

between 1 and 10 and a power of 10

sequence

sequence

sequence

A pattern involving an ordered arrangement

of numbers, geometric figures, letters, or

other objects

similar figures

similar figures

similar figures

Figures that have the same shape but not

necessarily the same size

slope

slope

slope

The “steepness” of a line

solution

solution

solution

A number (or ordered pair of numbers, or set of numbers) that produces a true statement when substituted for the variable(s) in

an equation or inequality

sphere

sphere

sphere

The set of all points in space that are equidistant from a fixed point, called

the center

square root

square root

square root

One of two equal factors of a given

number

system of two linear equations

system of two linear equations

system of two linear equations

Two linear equations that together define a

relationship between variables usually in a

problem situation. It can have no solution, one

solution, or many solutions.

transformation

transformation

transformation The mapping, or

movement, of all the points of a figure in a plane according to a common operation

translation

translation

translation

A transformation that "slides" each point of

a figure the same distance in the same

direction

transversal

transversal

transversal A line that crosses

two or more lines at distinct points

truncate

truncate

truncate

To shorten; to truncate a real number is to discard its non-integer part; to

truncate a solid refers to the removal of a portion

of the solid by intersecting it with a

plane

two-dimensional figures

two-dimensional figures

two-dimensional figures

Figures that have length and width, but no thickness

two-way table

two-way table

two-way table

A combination of two sets of data presented in

table form, such as males and females and left- and

right-handed

undefined slope

undefined slope

undefined slope

Occurs when the change in x-values is 0 regardless of

the change in y-values; vertical lines have undefined slope

unit rate

unit rate

unit rate A comparison of two

measurements in which the second term has a

value of 1

volume

volume

volume

The amount of space occupied by an object

x-intercept

x-intercept

x-intercept The point where a graph crosses the

x-axis

x-intercept

x-intercept

y-intercept

y-intercept

y-intercept The point where a graph crosses the

y-axis

y-intercept

y-intercept

zero slope

zero slope

zero slope

The slope of a horizontal line; the change in y-

values is always 0 regardless of the change

in x-values