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Grade 6 Mathematics Vocabulary Word Wall Cards Mathematics vocabulary word wall cards provide a display of mathematics content words and associated visual cues to assist in vocabulary development. The cards should be used as an instructional tool for teachers and then as a reference for all students. The cards are designed for print use only. Table of Contents Number and Number Sense Ratio Equivalent Relationships Equivalent Relationships Absolute Value Perfect Squares Exponential Form Powers of Ten Computation and Estimation Fraction Multiplication Fraction Division Fraction Division Multiplication and Division of Decimals Comparing Integers Integer Operations: Addition and Subtraction Integer Operations: Model Addition and Subtraction Integer Operations: Multiplication and Division Order of Operations Measurement and Geometry Pi Circumference Area of a Circle Perimeter Area Coordinate Plane Coordinate Plane Congruent Figures Regular Polygons Line of Symmetry Probability and Statistics Mean Median Mode Range Circle Graph Comparing Graphs: Circle and Bar graph Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary

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Page 1: Grade 6 Mathematics Vocabulary Word Wall Cards€¦  · Web viewGrade 6 Mathematics . Vocabulary Word Wall Cards. Mathematics vocabulary word wall cards provide a display of mathematics

Grade 6 Mathematics Vocabulary Word Wall Cards

Mathematics vocabulary word wall cards provide a display of mathematics content words and associated visual cues to assist in vocabulary development. The cards should be used as an instructional tool for teachers

and then as a reference for all students. The cards are designed for print use only.

Table of ContentsNumber and Number SenseRatioEquivalent RelationshipsEquivalent RelationshipsAbsolute ValuePerfect SquaresExponential FormPowers of Ten

Computation and EstimationFraction MultiplicationFraction DivisionFraction DivisionMultiplication and Division of DecimalsComparing IntegersInteger Operations: Addition and SubtractionInteger Operations: Model Addition and SubtractionInteger Operations: Multiplication and DivisionOrder of Operations

Measurement and GeometryPiCircumferenceArea of a CirclePerimeterAreaCoordinate Plane

Coordinate PlaneCongruent FiguresRegular PolygonsLine of Symmetry

Probability and StatisticsMeanMedianModeRangeCircle GraphComparing Graphs: Circle and Bar graphComparing Graphs: Circle and PictographComparing Graphs: Circle and Line Plot

Patterns, Functions and AlgebraRatio TableProportional RelationshipUnit Rate: DefinitionUnit Rate: ExamplesConnecting RepresentationsEquationExpressionVariableCoefficientTermVerbal and Algebraic Expressions and EquationsInequality

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary

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Ratioa comparison of any two quantities

Virginia Department of Education 2017 Grade 2 Mathematics Vocabulary

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Equivalent Relationships

Virginia Department of Education 2017 Grade 2 Mathematics Vocabulary

to 4 to 3 or 4:3

to all of set A 4 to 7 or 4:7 or 47

(set A) to (set B) 3 to 5 or 3:5

set B to set A 9 to 7 or 9:7

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Virginia Department of Education 2017 Grade 2 Mathematics Vocabulary

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Equivalent Relationships

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 5

Percent: 40%

Decimal: 0.4

Fraction:

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Absolute Valuedistance a number is from zero

|5| = 5 |-5| = 5

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 6

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Perfect Squares02 = 0¿0 = 012 = 1¿1 = 122 = 2¿2 = 432 = 3¿3 = 942 = 4¿4 = 1652 = 5¿5 = 2562 = 6¿6 = 3672 = 7¿7 = 4982 = 8¿8 = 6492 = 9¿9 = 81102 = 10¿10 = 100

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 7

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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 8

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Exponential Form

23 = 2 ∙ 2 ∙ 2

n4 = n ∙ n ∙ n ∙ n

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 9

exponent

base

factors

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Powers of Ten

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 10

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Fraction Multiplication

How much is 3

8 of 23 ?

38

· 23

= 624

= 14

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 11

38

23

624· =

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Fraction Division34

÷12

How many halves are in three-fourths?

There are 112 halves in three-fourths.

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 12

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34

÷12

=1 12Fraction Division

34

÷12

How many halves are in three-fourths?

There are 112 halves in three-fourths.

34

÷12

=1 12

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 13

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Multiplication and Division of Decimals

Multiplier Multiply Value

1 27 ∙1 27

0.1 27 ∙0.1 2.7

0.01 27 ∙0.01 0.27

0.001 27 ∙0.001 0.027

Divisor Divide Value

1 27÷1 27

0.1 27÷0.1 270

0.01 27÷0.01 2,700

0.001 27÷0.001 27,000Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 14

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Comparing Integers

-5 < 1 or 1 > -5

-5 < -4 or -4 > -5

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 15

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Integer Operations Addition-5 + 6 = 1

Subtraction1 – 6 = -5

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 16

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Integer Operations Key:

Addition

-5 + 6 = 1

Subtraction1 – 6 = -5

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 17

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Integer Operations

Multiplication3 ∙ (-4) = -12

Division-12 ÷ -4 = 3

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 18

How many tiles are in 3 groups of -4 tiles?

How many groups of -4 tiles are in -12 tiles?

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Order of Operations

Grouping Symbols

Exponents

Multiplicationor Division

Addition or Subtraction

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 19

Left to

right

Left to

right

( )

||

❑❑

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Pi

π = circumferencediameter

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 20

diameter

circumference

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Circumference

C = perimeter of a circle

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 21

radiusdiameter

C = 2rC = d

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Area of a Circle

A = r 2

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 22

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Perimeter

the measure of the distance around a figure

P = a + b + c + d

P = e + f + g

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 23

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Areathe number of square units

needed to cover a surface or figure

Area = 12 Square Units

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 24

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Coordinate Plane

ordered pair (x,y)Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 25

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Coordinate Plane

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 26

What is the length of side AB in the figure ABCD?A(-1,-2) and B(-1,-4)

The length of AB is |-2 – (-4)| or |-4 – (-2)| or 2 units.

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Congruent Figureshave exactly the

same shape and size

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 27

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Regular Polygonshave congruent sides and congruent interior angles

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 28

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Line of Symmetrydivides a figure into two

congruent parts, each of which are mirror images of the other

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 29

SQUARE

SQUARE

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Meana measure of central tendency

(the numerical average of a data set)

2, 3, 4, 7Balance Point

Numerical Average

2+3+4+74

=164

=4

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 30

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Median

a measure of central tendency(the middle value of a data set

ranked in order)

6, 7, 8, 9, 9

8 = median

5, 6, 8, 9, 11, 12

8.5 = median

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 31

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ModeData Sets Mode

2, 3, 3, 3, 5, 5, 9, 10 3

5.2, 5.4, 5.5, 5.6, 5.8, 5.9, 6.0 none

1, 1, 2, 5, 6, 7, 7, 9, 11, 12 1, 7

a measure of central tendency (the data value that occurs most

frequently)

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 32

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Rangedifference between the greatest

and least values in a data set

Data set21

2, 3, 334 , 37

8 , 5, 512, 91

6 , 1045 , 151

2, 20

20 – 2 12 = 17

12

Range = 17 12

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 33

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Circle Graph

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 34

Pigs10%

Chickens25%

Cows30%

Sheep15%

Goats20%

Number of Animals

Types of Animals on Mr. Segal’s Farm

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Circle Graph

Comparing Graphs

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 35

Pigs

Chickens

Cows

Sheep

Goats

Which graph(s) shows the type of animal that is most common on Mr. Segal’s farm? Which graph(s) shows how many pigs are on Mr. Segal’s farm?Which graph(s) help(s) determine the total number of animals on Mr. Segal’s farm?Which graph(s) help(s) determine for which type of animals there are 3 or more?Which graph(s) help(s) determine the percent of animals with four legs?

Bar Graph

Types of Animals on Mr. Segal’s Farm

Pigs10%

Chickens25%

Cows30%

Sheep15%

Goats20%

Number of Animals

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Comparing Graphs

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 36

Which graph(s) shows the type of animal that is most common on Mr. Segal’s farm? Which graph(s) shows how many pigs are on Mr. Segal’s farm?Which graph(s) help(s) determine the total number of animals on Mr. Segal’s farm?Which graph(s) help(s) determine for which type of animals there are 3 or more?Which graph(s) help(s) determine the percent of animals with four legs?

Pictograph

Types of Animals on Mr. Segal’s Farm

Pigs10%

Chickens25%

Cows30%

Sheep15%

Goats20%

Number of Animals

Circle Graph

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Comparing Graphs

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 37

Which graph(s) shows the type of animal that is most common on Mr. Segal’s farm? Which graph(s) shows how many pigs are on Mr. Segal’s farm?Which graph(s) help(s) determine the total number of animals on Mr. Segal’s farm?Which graph(s) help(s) determine for which type of animals there are 3 or more?Which graph(s) help(s) determine the percent of animals with four legs?

Types of Animals on Mr. Segal’s Farm

Line Plot

Pigs10%

Chickens25%

Cows30%

Sheep15%

Goats20%

Number of Animals

Circle Graph

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Ratio Tablea table of values representing a

proportional relationship that includes pairs of equivalent ratios

The ratio of y to x in a proportional relationship is 8:4, create a ratio table.

yx=2

1=6

3=8

4=22

11

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 38

x y1 22 43 64 8

11 22

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Proportional RelationshipRatio Table Example

Terry’s neighbor pays him $17 for every 2 hours he works. Terry works for 8 hours on Saturday.

A ratio table represents the proportional relationship:

Hours 1 2 4 8

Pay in $ ? 17 34 ?

How much does Terry earn per hour?172

=?1 Terry earns $8.50 per hour

How much will Terry earn in 8 hours?

$ He will earn $68.00 in 8 hours.

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 39

∙8.5 ∙8.5

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Unit Ratenumber of units of the first quantity of a ratio compared to 1 unit of the second

quantity

Example: A store advertises $25 for 5 DVDs. Find the cost for 1 DVD or unit rate.

255

=?1

The unit rate is $5.00 for 1 DVD

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 40

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Unit RateExamples

$2 per gallon = $21 gallon

70 miles per hour = 70 miles1 hour

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 41

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Connecting Representations

The ratio of gallons of yellow paint to gallons of blue paint is 3:1.

Find three equivalent ratios.

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 42

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Equationa mathematical sentence stating that two expressions are equal

-38 = y – (-21)13x = -16

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 43

2x = 10

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Expressiona representation of quantity

16

x

2 + 34

3(2 + 3.9) – 89

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 44

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Variablea symbol used to represent an

unknown quantity

y

3 + x = 2.08

A = r 2

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 45

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Coefficientthe numerical factor in a term

(-4) = 2x

-7y

13 a = -5

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 46

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Terma number, variable, product, or

quotient in an expression of sums and/or differences

3y2 + 2y – 83 terms

-5x + (-2) 2 terms

23a

1 termVirginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 47

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Verbal and Algebraic Expressions and

EquationsVerbal Algebraic

A number multiplied by 5

5n

The sum of negative two and a number

-2 + n

The sum of a number and two is five

y + 2 = 5

Negative three is one-fifth of a number

-3 = 15x

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 48

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Inequalityy < 4 or 4 > y

x + (-5) ≥ -7x ≥ -2

-3 < a – 7 4 < a or a > 4

Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 49

0 1 2 3 4 5

-4 -3 -2 -1 0 1

0 1 2 3 4 5