Grade 6 Mathematics Vocabulary Word Wall Cards€¦ · Web view · 2018-05-24Mathematics...
Transcript of Grade 6 Mathematics Vocabulary Word Wall Cards€¦ · Web view · 2018-05-24Mathematics...
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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 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
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Percent: 40%
Decimal: 0.4
Fraction:
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Absolute Valuedistance a number is from zero
|5| = 5 |-5| = 5
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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
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Exponential Form
23 = 2 ∙ 2 ∙ 2
n4 = n ∙ n ∙ n ∙ n
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exponent
base
factors
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Powers of Ten
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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.
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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
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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
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Integer Operations Addition-5 + 6 = 1
Subtraction1 – 6 = -5
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Integer Operations Key:
Addition
-5 + 6 = 1
Subtraction1 – 6 = -5
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Integer Operations
Multiplication3 ∙ (-4) = -12
Division-12 ÷ -4 = 3
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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
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Left to
right
Left to
right
( )
||
❑❑
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Pi
π = circumferencediameter
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diameter
circumference
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Circumference
C = perimeter of a circle
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radiusdiameter
C = 2rC = d
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Area of a Circle
A = r 2
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Perimeter
the measure of the distance around a figure
P = a + b + c + d
P = e + f + g
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Areathe number of square units
needed to cover a surface or figure
Area = 12 Square Units
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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
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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
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Regular Polygonshave congruent sides and congruent interior angles
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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
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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
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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)
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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
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Circle Graph
Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 34
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
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 Pigs
Chickens
Cows
Sheep
Goats
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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
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Unit RateExamples
$2 per gallon = $21 gallon
70 miles per hour = 70 miles1 hour
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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.
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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
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Variablea symbol used to represent an
unknown quantity
y
3 + x = 2.08
A = r 2
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Coefficientthe numerical factor in a term
(-4) = 2x
-7y
13 a = -5
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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
-4 -3 -2 -1 0 1
0 1 2 3 4 5
0 1 2 3 4 5