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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 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

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Page 1: Vocabulary Cards and Word Walls - Coweta Schoolsblogs.cowetaschools.org/.../Grade_7_CCGPS_Math_Vocabulary_Card… · Vocabulary Cards and Word Walls The vocabulary cards in this file

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 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

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absolute value

absolute

value

absolute

value

- 5 = 5

The distance of a number

from zero on the number

line. Always positive.

- 5 = 5

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acute triangle

acute

triangle

acute

triangle

A triangle with no angle

measuring 90º or more.

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addend

addend

33 + 4.7 + 0.9 = 38.6

addends

addend

33 + 4.7 + 0.9 = 38.6

addends

Any number being added.

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Additive Identity

Property of 0

Additive Identity

Property of 0 a + 0 = a

Additive Identity

Property of 0 a + 0 = a Adding zero to a number

gives a sum identical to

the given number.

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additive inverses

additive inverses 5 + (-5) = 0

additive inverses 5 + (-5) = 0 Two numbers whose sum

is 0 are additive inverses

of one another.

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algebraic expression

algebraic

expression 3x + 2

algebraic

expression 3x + 2 A group of numbers,

symbols, and variables

that express an operation

or a series of operations.

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algorithm

algorithm

Partial Product Example

algorithm

Partial Product Example

A step-by-step method

for computing.

555

x 7

35 Step 1: Multiply the ones.

350 Step 2: Multiply the tens.

3500 Step 3: Multiply the hundreds.

3885 Step 4: Add the partial products.

555

x 7

35 Step 1: Multiply the ones.

350 Step 2: Multiply the tens.

3500 Step 3: Multiply the hundreds.

3885 Step 4: Add the partial products.

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altitude

altitude

altitude

The perpendicular

distance from a vertex

to the opposite side of

a plane figure.

altitude or height

base

altitude or height

base

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area

area 2 rows of 5 = 10 square units

or

2 x 5 = 10 square units

area

2 rows of 5 = 10 square units

or

2 x 5 = 10 square units

The measure, in square units,

of the interior region of a

2-dimensional figure or the

surface of a

3-dimensional figure.

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Associative Property of

Addition

Associative Property

of Addition

(5 + 7) + 3 = 5 + (7 + 3)

12 + 3 = 5 + 10

15 = 15

Associative

Property of

Addition

(5 + 7) + 3 = 5 + (7 + 3)

12 + 3 = 5 + 10

15 = 15

The sum stays the same

when the grouping of

addends is changed.

(a + b) + c = a + (b + c),

where a, b, and c stand

for any real numbers.

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Associative Property of

Multiplication

Associative Property

of Multiplication

(5 x 7) x 3 = 5 x (7 x 3)

35 x 3 = 5 x 21

105 = 105

Associative

Property of

Multiplication

(5 x 7) x 3 = 5 x (7 x 3)

35 x 3 = 5 x 21

105 = 105

The product stays

the same when the

grouping of factors

is changed. (a x b)

x c = a x (b x c),

where a, b, and c

stand for any real

numbers.

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attribute

attribute

attribute

A characteristic.

e.g. size, shape or

color

large

triangle

pink

large

triangle

pink

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axis

axis

axis

A reference line from

which distances or

angles are measured in a

coordinate grid.

(plural – axes)

x-axis

y-axis

x-axis

y-axis

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base of a polygon

base of a

polygon

base of a

polygon

The side of a

polygon that is

perpendicular to

the altitude or

height.

altitude or height

base

altitude or height

base

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box plot

box plot

box plot

A diagram that shows the

five number summary of a

distribution. (Five number

summary includes lowest

value, lower quartile, median,

upper quartile, and highest

value.)

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cluster

cluster

cluster

A group of the same or

similar elements gathered

or occurring closely

together on a graph.

cluster

cluster

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coefficient

coefficient 5x + 3

coefficient

5x + 3 A numerical factor in a term

of an algebraic expression.

coefficient

coefficient

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common denominator

common

denominator

12 is a common

denominator for 2

3 and

3

4

common

denominator

12 is a common

denominator for 2

3 and

3

4

For two or more fractions, a

common denominator is a

common multiple of the

denominators.

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common factor

common

factor

12 (1, 2, 3, 4, 6, 12)

18 (1, 2, 3, 6, 9, 18)

Common Factors of 12 and 18:

1, 2, 3, 6

common

factor

12 (1, 2, 3, 4, 6, 12)

18 (1, 2, 3, 6, 9, 18)

Common Factors of 12 and 18:

1, 2, 3, 6

Any common factor of

two or more numbers.

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common multiple

common

multiple

4, 8, 12, 16, 20, 24, 28, 32, 36…

6, 12, 18, 24, 30, 36, 42…

Common Multiples of 4 and 6:

12, 24, 36…

common

multiple

4, 8, 12, 16, 20, 24, 28, 32, 36…

6, 12, 18, 24, 30, 36, 42…

Common Multiples of 4 and 6:

12, 24, 36…

Any common multiple of

two or more numbers.

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Commutative Property

of Addition

Commutative Property

of Addition 5 + 3 = 3 + 5

Commutative

Property of

Addition

5 + 3 = 3 + 5

The sum stays the same

when the order of the

addends is changed.

a + b = b + a, where a

and b are any real

numbers.

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Commutative Property

of Multiplication

Commutative

Property of

Multiplication 4 x 7 = 7 x 4

Commutative

Property of

Multiplication

4 x 7 = 7 x 4

The product stays the

same when the order of

the factors is changed.

a x b = b x a, where a and

b are any real numbers.

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compose

compose

2 triangles can form a rectangle.

compose

2 triangles can form a

rectangle.

To put together, as in

numbers or shapes.

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constant

constant

5x + 4

constant

5x + 4 A number with a value

that is always the same.

constant

constant

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constant speed

constant

speed

constant

speed

Movement at a fixed

(constant) distance per

unit of time.

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coordinate pair

coordinate

pair

(-5, 2) (x , y)

coordinate

pair

(-5, 2) (x , y)

A pair of numbers that gives

the coordinates of a point on

a grid in this order (horizontal

coordinate, vertical

coordinate). Also known as

an ordered pair.

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coordinate plane

coordinate

plane

coordinate

plane

A 2-dimensional system in

which the coordinates of a

point are its distances

from two intersecting,

usually perpendicular,

straight lines called axes.

(Also called coordinate

grid or coordinate system.)

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coordinate system

coordinate

system

coordinate

system

Also known as a

coordinate grid. A

2-dimensional system in

which the coordinates of

a point are its distances

from two intersecting,

usually perpendicular,

straight lines called axes.

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coordinates

coordinates (3,-5) ( x , y)

coordinates (3,-5) ( x , y)

An ordered pair of

numbers that

identify a point on

a coordinate plane.

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cube

cube

cube

A rectangular solid

having six congruent

square faces.

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customary system

customary

system

customary

system

A system of

measurement used in

the U.S. The system

includes units for

measuring length,

capacity, and weight.

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data

data

Number of School Carnival

Tickets Sold Kindergarten 22

1st Grade 15

2nd

Grade 34

3rd

Grade 9

4th

Grade 16

5th

Grade 29

6th

Grade 11

data

Number of School Carnival

Tickets Sold Kindergarten 22

1st Grade 15

2nd

Grade 34

3rd

Grade 9

4th

Grade 16

5th

Grade 29

6th

Grade 11

Information, especially

numerical information.

Usually organized for

analysis.

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decompose

decompose

decompose

To separate into

components or basic

elements.

=

=

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denominator

denominator

denominator

The quantity below

the line in a fraction.

It tells the number of

equal parts into

which a whole is

divided.

3

4 denominator

3

4 denominator

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dependent variable

dependent

variable

# Bikes 1 2 3 4

Wheels 2 4 6 8

dependent

variable

# Bikes 1 2 3 4

Wheels 2 4 6 8

In a function, a variable

whose value is

determined by the value

of the related independent

variable.

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difference

difference

49.75 – 13.9 = 35.85

difference

difference

49.75 – 13.9 = 35.85

difference

The amount that

remains after one

quantity is

subtracted from

another.

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distribution

distribution

Age of People Attending a Movie

Age Ranges Tally Frequency

0 - 9 I I I 3

10 - 19 I I I I 4

20 - 29

I I I I I 6

30 - 39

I I I I I I I 8

40 - 49 0

50 - 59 I 1

60-69 II 2

distribution

Age of People Attending a Movie

Age Ranges Tally Frequency

0 - 9 I I I 3

10 - 19 I I I I 4

20 - 29

I I I I I 6

30 - 39

I I I I I I I 8

40 - 49 0

50 - 59 I 1

60-69 II 2

A table that shows

how many there

are of each type of

data.

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Distributive Property

Distributive

Property

Example:

5(6 + 8) = (5 × 6) + (5 × 8)

Distributive

Property

Example:

5(6 + 8) = (5 × 6) + (5 × 8)

a × (b + c) = (a × b) + (a × c)

and

a × (b – c) = (a × b) –

(a × c), where a, b, and c stand

for any real numbers.

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dividend

dividend

8 578

dividend

dividend

8 578

dividend

A quantity to be

divided.

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divisor

divisor

8 578

divisor

divisor

8 578

divisor

The quantity by which

another quantity is to be

divided.

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dot plot

dot plot

dot plot

Also known as a line

plot. A diagram

showing frequency of

data on a number line.

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

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double number

line diagram

double number

line diagram

double number

line diagram

A graphic diagram that

shows a proportional

relationship between

two quantities.

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equation

equation 9 x 3 = 20 + 7

equation 9 x 3 = 20 + 7

A statement that two

mathematical

expressions are equal.

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equilateral triangle

equilateral

triangle

equilateral

triangle

A triangle whose sides

are all the same length.

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equivalent

equivalent

9 + 12 = 1 + 20

equivalent

9 + 12 = 1 + 20 Naming the same

number.

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equivalent ratio

equivalent

ratio

6 2=

12 4

Both ratios simplify to 1

2.

equivalent

ratio

6 2=

12 4

Both ratios simplify to 1

2.

If two ratios have the

same value when

simplified, then they

are called

equivalent ratios.

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evaluate

evaluate

42 – 13 = n

n = 29

evaluate

42 – 13 = n

n = 29

To find the value of

a mathematical

expression.

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exponent

exponent

exponent

The number that tells

how many equal

factors there are.

exponent

25

exponent

25

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expression

expression 5x + 3

expression 5x + 3

A variable or

combination of

variables,

numbers, and

symbols that

represents a

mathematical

relationship.

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factor

factor

2 x 6 = 12

factors

factor

2 x 6 = 12

factors

An integer that

divides evenly into

another.

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first quartile

first

quartile

first

quartile

The first quartile is the

middle (the median) of the

lower half of the data on a

box plot. One-fourth of

the data lies below the

first quartile and three-

fourths lies above. Also

known as Q1.

Q1

Q1

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formula

formula

formula

A general

mathematical

statement or

rule.

Volume

of a

cube is

V = 6s2

Volume

of a

cube is

V = 6s2

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fraction

fraction

fraction

A way of

representing part of a

whole or part of a

group by telling the

number of equal

parts in the whole

and the number of

parts you are

describing.

What is 3

4?

What is 3

4?

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gap

gap

gap

A place on a

graph where no

data values are

present.

gap

gap

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graph

graph

graph

A pictorial device

used to show a

numerical

relationship.

Students Taking Bus

0

20

40

60

80

100

120

5th Grade 6th Grade 7th Grade 8th Grade

Students Taking Bus

0

20

40

60

80

100

120

5th Grade 6th Grade 7th Grade 8th Grade

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greater than

greater

than

greater

than

Greater than is

used to compare

two numbers

when the first

number is larger

than the second

number.

3 5

5 > 3

3 5

5 > 3

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greatest common

factor

greatest common

factor

12 (1, 2, 3, 4, 6, 12)

18 (1, 2, 3, 6, 9, 18)

GCF = 6

greatest common

factor

12 (1, 2, 3, 4, 6, 12)

18 (1, 2, 3, 6, 9, 18)

GCF = 6

GCF. The

largest factor

of two or

more

numbers.

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height

height

height

The

perpendicular

distance from a

vertex to the

opposite side of

a plane figure.

altitude or height

base

altitude or height

base

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histogram

histogram

histogram

A bar graph in which

the labels for the bars

are numerical

intervals.

2

4

8

6

Ages of People Attending a Movie

age

nu

mb

er o

f p

eop

le

0-5 6-10 11-15 16-20 25-30 20-25

2

4

8

6

Ages of People Attending a Movie

age

nu

mb

er o

f p

eop

le

0-5 6-10 11-15 16-20 25-30 20-25

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improper fraction

improper

fraction

5

3

improper

fraction

5

3

A fraction with

a numerator

greater than (or

equal to) its

denominator.

The

numerator is

greater than

the

denominator.

The

numerator is

greater than

the

denominator.

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independent variable

independent

variable

# Bikes 1 2 3 4

Wheels 2 4 6 8

independent

variable

# Bikes 1 2 3 4

Wheels 2 4 6 8

A variable in a

mathematical equation

whose value determines

that of a dependent

variable.

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inequality

inequality

5x + 6 < 20 – 2x

inequality

5x + 6 < 20 – 2x A mathematical

sentence that compares

two unequal expressions

using one of the

symbols <, >, ≤, ≥, or ≠.

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infinite

infinite

infinite

Having no

boundaries or limits.

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integers

integers

integers

The set of whole

numbers and

their opposites.

START

START

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interquartile range

interquartile

range

interquartile

range

The difference

between the upper

quartile and the

lower quartile.

interquartile

range

interquartile

range

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isosceles triangle

isosceles

triangle

isosceles

triangle

A triangle that has at

least two congruent

sides.

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least common multiple

least common

multiple

6, 12, 18, 24, 30, 36, 42…

8, 16, 24, 32, 40, 48, 56…

LCM = 24

least

common

multiple

6, 12, 18, 24, 30, 36, 42…

8, 16, 24, 32, 40, 48, 56…

LCM = 24

LCM. The smallest

common multiple of

a set of two or more

numbers.

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less than

less than

less than

3 < 5

Less than is used to

compare two numbers

when the first number

is smaller than the

second number.

5 3 < 5

3

3 5

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line plot

line plot

line plot

Also known as a dot plot.

A diagram showing

frequency of data on a

number line.

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

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lower extreme

lower

extreme

lower

extreme

The smallest or least

number out of a data set,

usually farther away from

interquartile range than

other data in set.

(Also known as

minimum.)

lower extreme

lower extreme

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magnitude

magnitude

magnitude

Size; a property by

which something

can be compared as

larger or smaller

than other objects of

the same kind.

Example: If this man

owes $75 on a bill,

that is -$75. The

magnitude of his debt

is described as:

-$75 = $75

Example: If this

man owes $75 on

a bill, that is -$75.

The magnitude of

his debt is

described as:

-$75 = $75

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maximum

maximum

maximum

The largest amount;

the greatest number

in a data set.

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

The

maximum

is 5.

The

maximum

is 5.

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

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mean

mean

Data Set: 14, 21, 27, 33, 45, 46, 52

Step 1: 14 + 21 + 27 + 33 + 45 + 46 + 52 = 238

Step 2:

238 ÷7 = 34

mean

Data Set: 14, 21, 27, 33, 45, 46, 52

Step 1: 14 + 21 + 27 + 33 + 45 + 46 + 52 = 238

Step 2:

238 ÷7 = 34

The sum of a set of

numbers divided by

the number of

elements in the set.

(A type of average)

mean

mean

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mean absolute

deviation

mean absolute

deviation

mean

absolute

deviation

In statistics, the

absolute deviation of

an element of a data

set is the absolute

difference between

that element and a

given point.

The weights of the three

people are 56 Kgs, 78

Kgs, and 88 Kgs.

Step 1: Find the mean. (56+78+88)/3 =

74

Step 2: Determine the deviation of each

variable from the mean.

56 – 74 = -18

78-74=4

90-74=16

Step 3: Make the deviation „absolute”

by squaring and determining the roots.

(eliminate the negative)

(18 + 4 + 16)/3 = 12.67 is the mean

absolute deviation.

The weights of the

three people are 56 Kgs, 78

Kgs, and 88 Kgs.

Step 1: Find the mean.

(56+78+88)/3 = 74

Step 2: Determine the deviation

of each variable from the mean.

56 – 74 = -18

78-74=4

90-74=16

Step 3: Make the deviation

„absolute” by squaring and

determining the roots.

(eliminate the negative)

(18 + 4 + 16)/3 = 12.67 is the

mean absolute deviation.

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measure of center

measure

of center

measure

of center

An average; a single

value that is used to

represent a collection

of data. Three

commonly used types

of averages are mode,

median, and mean.

(Also called measures

of central tendency or

measures of average.)

Examples:

Mode = 1

Median = 2

Mean = 2.3 Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

Examples:

Mode = 1

Median = 2

Mean = 2.3

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

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measure of variation

measure of

variation

measure of

variation

A measure of how

much a collection of

data is spread out.

Commonly used types

include range and

quartiles. (Also

known as spread or

dispersion.)

Range = 4

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

Range = 4

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

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median

median

14, 21, 27, 33, 45, 46, 52

median

14, 21, 27, 33, 45, 46, 52

The middle number

of a set of numbers

when the numbers

are arranged from

least to greatest, or

the mean of two

middle numbers

when the set has two

middle numbers.

median

median

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metric system

metric

system

metric

system

A system of

measurement based on

tens. The basic unit of

capacity is the liter.

The basic unit of

length is the meter.

The basic unit of mass

is the gram.

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minimum

minimum

minimum

The smallest

amount; the smallest

number in a data set.

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

The

minimum

is 1.

The

minimum

is 1.

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minuend

minuend

43.2 – 27.9 = 15.3

minuend

43.2 – 27.9 = 15.3 In subtraction, the

minuend is the

number you subtract

from.

minuend

minuend

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mixed number

mixed

number

Example:

mixed

number

Example:

A number with an

integer and a fraction

part.

3

3

3

7

3

7

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multiple

multiple

Example:

Multiples of

7, 14, 21, 28, 35, 42, 49…

multiple

Example:

Multiples of

7, 14, 21, 28, 35, 42, 49…

The product of a

whole number and

any other whole

number.

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Multiplicative Identity

Property of 1

Multiplicative

Identity

Property of 1

a x 1 = 1 x a = a

Multiplicative

Identity

Property of 1

a x 1 = 1 x a = a

The product of any

number and 1 is

equal to the original

number.

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multiplicative inverses

multiplicative

inverses

5 x 1

5 = 1

multiplicative

inverses

5 x 1

5 = 1

Two numbers whose

product is 1. Also

called reciprocals.

multiplicative

inverses

multiplicative

inverses

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negative numbers

negative

numbers

negative

numbers

Numbers less than 0.

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net

net

net

A 2-dimensional

shape that can be

folded into a

3-dimensional figure

is a net of that

figure. (Also called

a network.)

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number line

number

line

number

line

A diagram that

represents numbers

as points on a line.

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numerator

numerator 3

5

numerator

3

5

The number or

expression written

above the line in a

fraction.

numerator

numerator

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numerical expression

numerical

expression 5 + 9

numerical

expression

5 + 9

A mathematical

statement including

numbers and

operations.

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obtuse triangle

obtuse

triangle

obtuse

triangle

A triangle that

contains one angle

with a measure

greater than 90º

(obtuse angle) and

two acute angles.

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opposite

opposite

+3 and -3 are opposites.

opposite

+3 and -3 are opposites.

Having a different

sign but the same

numeral.

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Order of Operations

Order of

Operations

Order of

Operations

Rules describing what

sequence to use in

evaluating expressions.

(1) Evaluate within

grouping symbols.

(2) Do powers or roots.

(3) Multiply or divide

left to right.

(4) Add or subtract left

to right.

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ordered pair

ordered pair (-5, 2) (x , y)

ordered pair (-5, 2)

(x , y)

A pair of numbers

that gives the

coordinates of a

point on a grid in this

order (horizontal

coordinate, vertical

coordinate). Also

known as a

coordinate pair.

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origin

origin

origin

The intersection of

the x- and y-axes in

a coordinate plane,

described by the

ordered pair (0, 0).

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outlier

outlier

outlier

A number in a set of

data that is much

larger or smaller than

most of the other

numbers in the set. outlier

outlier

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percent

percent

percent

A special ratio that

compares a number to

100 using the symbol

%.

80% of

the

pentagon

is shaded.

80% of

the

pentagon

is

shaded.

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plot

plot

plot

To place points

on a graph or

coordinate plane.

The point is

plotted at

(3, -2).

The point is

plotted at

(3, -2).

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polygon

polygon

polygon

A closed figure formed

from line segments that

meet only at their

endpoints.

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positive numbers

positive

numbers

positive

numbers

Numbers that are

greater than zero.

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prism

prism

prism

A 3-dimensional

figure that has two

congruent and

parallel faces that

are polygons. The

remaining faces are

parallelograms.

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product

product

product

The result of

multiplication.

Sunglasses are $9.95 a pair.

$ 9.95

x 3

$29.85

product

Sunglasses are $9.95

a pair.

$ 9.95

x 3

$29.85

product

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proportion

proportion

proportion

An equation showing

that two ratios are

equivalent.

2

4 =

4

8

2

4

4

8

2

4

4

8

2

4 =

4

8

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pyramid

pyramid

pyramid

A polyhedron whose

base is a polygon

and whose other

faces are triangles

that share a common

vertex.

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quadrants

quadrants

quadrants

The four sections of

a coordinate grid

that are separated

by the axes.

Quadrant

I

Quadrant

II

Quadrant

IV

y

x

Quadrant

III

Quadrant

I

Quadrant

II

Quadrant

IV

y

x

Quadrant

III

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quadrilateral

quadrilateral

quadrilateral

A four-sided polygon.

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quantity

quantity

quantity

An amount.

3 candies

for

5 cents.

3 candies

for

5 cents.

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quotient

quotient

15 R 2

9 137

quotient

15 R 2

9 137

The result of the

division of one

quantity by another.

quotient

quotient

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range

range

range

The difference

between the greatest

number and the

least number in a set

of numbers.

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

Number of Pets

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

x

5 – 1 = 4

Range is 4.

5 – 1 = 4

Range is 4.

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rate

rate

rate

A ratio comparing

two different units.

The car was traveling 65 miles per

hour on the freeway.

The car was traveling 65 miles per

hour on the freeway.

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ratio

ratio

ratio

A comparison of

two numbers using

division.

The ratio of chocolate bars to boys is

3:2.

The ratio of chocolate bars to

boys is 3:2.

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rational number

rational

number

rational

number

A number that can

be expressed as a

ratio of two integers.

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reciprocals

reciprocals

5 x 1

5 = 1

reciprocals

5 x 1

5 = 1 Two numbers whose

product is 1. Also

called multiplicative

inverses.

reciprocals

reciprocals

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rectangle

rectangle

rectangle

A quadrilateral with

two pairs of

congruent, parallel

sides and four right

angles.

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right rectangular prism

right rectangular

prism

right rectangular

prism

A prism with six

rectangular faces

where the lateral

edge is

perpendicular to

the plane of the

base.

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right triangle

right triangle

right triangle

A triangle that

has one 90º

angle.

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scalene triangle

scalene

triangle

scalene

triangle

A triangle that has

no congruent sides.

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signed number

signed

number

signed

number

Positive or negative

number.

-5

-23

+8

+45

5 -5 +8

+45

5

-23

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solid figure

solid figure

solid figure

A geometric

figure with 3

dimensions.

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spread

spread

spread

A measure of how

much a collection of

data is spread out.

Commonly used

types include range

and quartiles. (Also

known as measures

of variation or

dispersion.)

1-20 21-40 41-60 61-80

0

2

4

6

8

10

12

14

16

Number of Weeks

Fre

quency

Number of Weeks on the Top 200 Chart

Range = 80

0

2

4

6

8

10

12

14

16

Number of Weeks

Fre

quency

Number of Weeks on the Top 200 Chart

Range = 80

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square-based pyramid

square-based

pyramid

square-based

pyramid

A polyhedron

whose base is a

square and whose

other faces are

triangles that

share a common

vertex.

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statistical variability

statistical

variability

statistical

variability

A variability or spread

in a variable or a

probability

distribution. Common

examples of measures

of statistical dispersion

are the variance,

standard deviation, and

interquartile range.

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statistics

statistics

statistics

The science of

collecting,

organizing,

representing, and

interpreting data.

This baseball card shows statistics for a

famous baseball player.

This baseball card shows statistics for a

famous baseball player.

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substitution

substitution

substitution

The replacement of

the letters in an

algebraic expression

with known values.

If x is equal to 9, then …

8x + 4 = ?

8(9) + 4 = 76

If x is equal to 9, then …

8x + 4 = ?

8(9) + 4 = 76

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subtrahend

subtrahend

subtrahend

In subtraction, the

subtrahend is the

number being

subtracted.

27.34

- 8.29

19.05

subtrahend

27.34

- 8.29

19.05

subtrahend

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sum

sum

45.3 + 92.9 = 138.2

sum

sum

45.3 + 92.9 = 138.2

sum

The result of

addition.

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surface area

surface area

surface

area

The total area of the

faces (including the

bases) and curved

surfaces of a solid

figure.

Surface Area =

40 square

centimeters

Surface Area =

40 square

centimeters

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table

table

Student Number of Books Read in

the Summer

Sara 3

Jose 8

Timothy 2

Belinda 3

Gretchen 11

Trevor 7

table

Student Number of Books Read in

the Summer

Sara 3

Jose 8

Timothy 2

Belinda 3

Gretchen 11

Trevor 7

An organized way to

list data. Tables

usually have rows

and columns of data.

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tape diagram

tape

diagram

tape

diagram

A drawing that

looks like a segment

of tape, used to

illustrate number

relationships. Also

known as a strip

diagram, bar model,

fraction strip, or

length model.

156 vehicles drove by the

school. There were 3 times as

many passenger cars as

trucks. How many vehicles

were trucks?

156 vehicles drove by the

school. There were 3 times

as many passenger cars as

trucks. How many vehicles

were trucks?

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term

term

5x + 14

terms

term

5x + 14

terms

A number,

variable, product,

or quotient in an

expression. A

term is not a sum

or difference.

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third quartile

third

quartile

third

quartile

The third quartile is the

middle (the median) of the

upper half of the data on a

box plot. One-fourth of

the data lies above the

third quartile and three-

fourths lies below. Also

known as Q3.

Q3

Q3

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three-dimensional

three-

dimensional

three-

dimensional

3-D. Existing in 3

dimensions; having

length, width, and

height.

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triangular prism

triangular

prism

triangular

prism

A prism with

three rectangular

faces and two

triangular bases

where the lateral

edge is

perpendicular to

the plane of the

base.

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triangular pyramid

triangular

pyramid

triangular

pyramid

A pyramid with a

triangular base.

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unit cube

unit cube

unit cube

A precisely fixed

quantity used to

measure volume.

1 cm

1 cm

1 cm

Volume of 1 cubic

(cm3) centimeter

1 cm

1 cm

1 cm

Volume of 1 cubic

(cm3) centimeter

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unit rate

unit rate

unit rate

A rate with a

denominator of 1.

Cereal is

$0.43 per

1 ounce.

Cereal is

$0.43 per

1 ounce.

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upper extreme

upper

extreme

upper

extreme

The greatest or largest

number out of a data set,

usually farther away

from interquartile range

than

other data in set.

(Also known as

maximum.)

upper extreme

upper extreme

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value

value

value

The amount

something is worth.

5x – 2 = 23

The value of x

is 5.

5x – 2 = 23

The value of x

is 5.

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variable

variable

variable

A quantity that

changes or can have

different values. A

symbol, usually a

letter, that can stand

for a variable

quantity.

2n + 3 = 11

variable

2n + 3 = 11

variable

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vertex

vertex

vertex

The point at which

two line segments,

lines, or rays meet

to form an angle.

(plural – vertices)

vertex

vertex

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volume

volume

volume

The number of cubic

units it takes to fill a

figure.

Volume =

27 cubic

units

Volume =

27 cubic

units

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whole numbers

whole

numbers 0, 1, 2, 3…

whole

numbers

0, 1, 2, 3… Any of the numbers 0,

1, 2, 3, 4, 5, and so on.

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ax-axis

x-axis

x-axis

In a Cartesian grid, the

horizontal axis. x-axis

x-axis

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x-coordinate

x-coordinate

(7, 2)

x-coordinate

x-coordinate

(7, 2)

x-coordinate

In an ordered

pair, the value

that is always

written first.

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y-axis

y-axis

y-axis

In a Cartesian grid, the

vertical axis.

y-axis

y-axis

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y-coordinate

y-coordinate

(7, 2)

y-coordinate

y-coordinate

(7, 2)

y-coordinate

In an ordered

pair, the value

that is always

written second.

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