Grade 6 Mathematics Vocabulary Word Wall Cards · 2019. 4. 12. · Grade 6 Mathematics Vocabulary...
Transcript of Grade 6 Mathematics Vocabulary Word Wall Cards · 2019. 4. 12. · Grade 6 Mathematics Vocabulary...
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary
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 Comparing Graphs: Circle and Pictograph Comparing Graphs: Circle and Line Plot
Patterns, Functions and Algebra Ratio Table Proportional Relationship Unit Rate: Definition Unit Rate: Examples Connecting Representations Equation Expression Variable Coefficient Term Verbal and Algebraic Expressions and Equations Inequality
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 1
Ratio a comparison of any two quantities
to 4 to 3 or 4:3
to all of set A 4 to 7 or 4:7 or 4
7
(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 2018 Grade 6 Mathematics Vocabulary – Card 2
Equivalent Relationships
56 14
56% 0.56100 25
492 2.444... 244.4%
45
1801.8 180% 1
100
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 3
Equivalent Relationships
Fraction:
Decimal: 0.4
Percent: 40%
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 4
Absolute Value distance a number is from zero
|5| = 5 |-5| = 5
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 5
Perfect Squares
02 = 00 = 0 12 = 11 = 1 22 = 22 = 4 32 = 33 = 9 42 = 44 = 16 52 = 55 = 25 62 = 66 = 36 72 = 77 = 49 82 = 88 = 64 92 = 99 = 81 102 = 1010 = 100
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 6
Exponential Form
23 = 2 ∙ 2 ∙ 2
n4 = n ∙ n ∙ n ∙ n
exponent
base
factors
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 7
Powers of Ten
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 8
Fraction Multiplication
How much is
3
8 of
2
3 ?
3
8 ·
2
3 =
6
24 =
1
4
3
8
2
3
6
24 · =
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 9
Fraction Division
3
4÷
1
2
How many halves are in three-fourths?
There are 11
2 halves in three-fourths.
3
4÷
1
2=1
1
2
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 10
Fraction Division
3
4÷
1
2
How many halves are in three-fourths?
There are 11
2 halves in three-fourths.
3
4÷
1
2=1
1
2
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 11
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 27,000
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 12
Comparing Integers
-5 < 1 or 1 > -5
-5 < -4 or -4 > -5
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 13
Integer Operations Addition -5 + 6 = 1
Subtraction 1 – 6 = -5
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 14
Integer Operations
Key:
Addition -5 + 6 = 1
Subtraction 1 – 6 = -5
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 15
Integer Operations
Multiplication 3 ∙ (-4) = -12
Division -12 ÷ -4 = 3
How many tiles are in 3 groups of -4 tiles?
How many groups of -4 tiles are in -12 tiles?
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 16
Order of Operations
Grouping Symbols
Exponents
Multiplication
or Division
Addition
or Subtraction Left to
right
Left to
right
( )
| |
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 17
Pi
π = circumference
diameter
diameter
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 18
Circumference
C = perimeter of a circle
radius diameter
C = 2r C = d
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 19
Area of a Circle
A = r 2
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 20
Perimeter
the measure of the distance around a figure
P = a + b + c + d
P = e + f + g
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 21
Area
the number of square units needed to cover a surface or
figure
Area = 12 Square Units
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 22
Coordinate Plane
ordered pair (x,y)
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 23
Coordinate Plane
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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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 24
Congruent Figures have exactly the
same shape and size
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 25
Regular Polygons have congruent sides and congruent interior angles
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 26
Line of Symmetry divides a figure into two
congruent parts, each of which are mirror images of the other
SQUARE
SQUARE
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 27
Mean a measure of central tendency
(the numerical average of a data set)
2, 3, 4, 7
Balance Point
Numerical Average
2+3+4+7
4=
16
4= 4
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 28
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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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 29
Mode a measure of central tendency
(the data value that occurs most frequently)
Data 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
bimodal
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 30
Range difference between the greatest
and least values in a data set
Data set 2
1
2, 3, 3
3
4, 3
7
8, 5, 5
1
2, 9
1
6, 10
4
5, 15
1
2, 20
20 – 2 1
2 = 17
1
2
Range = 17 1
2
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 31
Pigs10%
Chickens25%
Cows30%
Sheep15%
Goats20%
Number of Animals
Circle Graph
Types of Animals on Mr. Segal’s Farm
Pigs Chickens Cows Sheep Goats
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 32
Pigs10%
Chickens25%
Cows30%
Sheep15%
Goats20%
Number of Animals
Circle Graph
Comparing Graphs
Bar Graph
Types of Animals on Mr. Segal’s Farm
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?
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 33
Pigs10%
Chickens25%
Cows30%
Sheep15%
Goats20%
Number of Animals
Comparing Graphs
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 Circle Graph
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 34
Pigs10%
Chickens25%
Cows30%
Sheep15%
Goats20%
Number of Animals
Comparing Graphs
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
Circle Graph
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 35
Ratio Table a 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.
𝑦
𝑥=
2
1=
6
3=
8
4=
22
11
x y 1 2
2 4
3 6
4 8
11 22
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 36
Proportional Relationship Ratio 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?
𝟏𝟕
𝟐=
?
𝟏 Terry earns $8.50 per hour
How much will Terry earn in 8 hours?
$8.50 8 68.00 He will earn $68.00 in 8 hours.
∙ 𝟖. 𝟓 ∙ 𝟖. 𝟓
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 37
Unit Rate number 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.
25
5=?
1
The unit rate is $5.00 for 1 DVD
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 38
Unit Rate Examples
$2 per gallon = $2
1 gallon
70 miles per hour = 70 miles
1 hour
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 39
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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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 40
Equation a mathematical sentence stating that two expressions are equal
-38 = y – (-21)
1
3x = -16
2x = 10
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 41
Expression a representation of quantity
16 x
2 + 34
3(2 + 3.9) – 8
9
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 42
Variable a symbol used to represent an
unknown quantity
y
3 + x = 2.08
A = r 2
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 43
Coefficient the numerical factor in a term
(-4) = 2x
-7y
1
3 a = -5
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 44
Term a number, variable, product, or
quotient in an expression of sums and/or differences
3y2 + 2y – 8
3 terms
-5x + (-2)
2 terms
2
3a
1 term
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 45
Verbal and Algebraic Expressions and
Equations
Verbal 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 =
1
5x
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Virginia Department of Education 2018 Grade 6 Mathematics Vocabulary – Card 46
Inequality
y < 4 or 4 > y
x + (-5) ≥ -7 x ≥ -2
-3 < a – 7 4 < a or a > 4
-4 -3 -2 -1 0 1
0 1 2 3 4 5
0 1 2 3 4 5