Vocabulary Cards and Word Walls - Pasco School Districtfor a Word Wall in the classroom. • These...
Transcript of Vocabulary Cards and Word Walls - Pasco School Districtfor a Word Wall in the classroom. • These...
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Vocabulary Cards and Word Walls Revised: September 9, 2011
Important Notes for Teachers: • The vocabulary cards in this file match the Common Core, the
mathematics learning standards adopted by the Washington State Board of Education on July 11, 2011. The cards are arranged alphabetically.•
• Each card has three sections:o Section 1 contains only the word. It is to be used as a visual aid for
spelling, pronunciation, and when students are writing their own “kid-friendly” definition or drawing their own graphic.
o Section 2 adds a graphic to the word. This provides additional context clues as a model.
o Section 3. has the word, a graphic, and a definition. This can be used for a Word Wall in the classroom.
• These cards are designed to help all students with math content vocabulary,including ELL, Gifted and Talented, Special Education, and RegularEducation students.
For possible additions or corrections to the vocabulary cards, contact the Pasco School District at 509-543-6700.
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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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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algorithm
algorithm
Partial Product Example
algorithm
Partial Product Example
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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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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area model
area model
area model
A model of
multiplication that shows
each place value product
9 x 28 = (9 x 20) + (9 x 8) = 252
9 x 28 = (9 x 20) + (9 x 8) = 252
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array
array
3 rows of 4
or
3 x 4
array
3 rows of 4
or
3 x 4
An arrangement of
objects in equal rows.
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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)
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base of an exponent
base of an
exponent
base 104
base of an
exponent
The number that is
raised to a power.
In 104 , 10 is the base
and 4 is the exponent.
10 is raised to the power
of 4. (104 = 10 x 10 x
10 x 10 = 10,000)
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base of a solid figure
base of a
solid figure
base of a
solid figure
A base of a solid figure
is usually thought of as a
face upon which it can
―sit.‖ Most solid figures
have more than one base.
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benchmark fractions
benchmark
fractions
benchmark
fractions
Fractions that are
commonly used for
estimation.
1 1 1 2 3
4 3 2 3 4
1 1 1 2 3
4 3 2 3 4
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braces
braces
{0, 1, 2, 3, 4, 5}
braces
{0, 1, 2, 3, 4, 5}
Braces can be used to
indicate that the objects
written between them
belong to a set.
braces
braces
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brackets
brackets [(2 x 20) + 6]
brackets [(2 x 20) + 6] A type of grouping
symbol used in pairs that
tells what operation to
complete first.
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centimeter (cm)
centimeter
(cm)
centimeter
(cm)
A metric unit of length
equal to 0.01 of a meter.
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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
compose
To put together, as in
numbers or shapes.
2 triangles can form a rectangle
2 triangles can form a rectangle
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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, 2) ( x , y)
coordinates
(3, 2) ( x , y)
An ordered pair of
numbers that identify a
point on a coordinate
plane.
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corresponding terms
corresponding
terms
corresponding
terms
Terms that are in the
same position in a
sequence of numbers.
In the pattern shown, 9
and 18 are the 3rd terms
in each sequence—they
are corresponding terms.
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cubic unit
cubic unit
1 unit
1 unit
cubic unit
A unit such as a cubic
meter to measure volume
or capacity.
1 unit
1 unit
1 unit
1 unit
1 unit
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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
data
Information, especially
numerical information.
Usually organized for
analysis.
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decimal
decimal $29.45 53.0
0.02
decimal $29.45
53.0 0.02
A number with one or
more digits to the right
of a decimal point.
Decimal is used as
another name for
decimal fraction.
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decimal point
decimal
point
$1.55 3.2
decimal points
decimal
point
$1.55 3.2
decimal points
A dot separating the
whole number from the
fraction in decimal
notation.
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decompose
decompose
decompose
To separate into
components or basic
elements.
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denominator
denominator
3
4
denominator
3
4
The quantity below the
line in a fraction. It tells
the number of equal
parts into which a whole
is divided.
denominator
denominator
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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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Distributive Property
Distributive
Property
Distributive
Property
When one of the factors
of a product is a sum,
multiplying each addend
before adding does not
change the product.
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dividend
dividend
8 578
dividend
8 578
A quantity to be divided.
dividend
dividend
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divisor
divisor
8 578
divisor
8 578
The quantity by which
another quantity is to be
divided.
divisor
divisor
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equation
equation
equation
A statement that two
mathematical
expressions are equal.
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equivalent fraction
equivalent
fraction
equivalent
fraction
Fractions that have the
same value.
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estimate
estimate
34
5 6
estimate
34
5 6
A number close to an
exact amount, an
estimate tells about how
much.
is approximately equal
to
is approximately equal to
≈ + 2
Close to 1 Close to 1
Close to 1 Close to 1
+ ≈ 2
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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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expanded form
expanded
form
347.392 = 3 x 100 + 4 x 10 + 7 x 1 +
3 x (1/10) + 9 x (1/100) +
2 x (1/1000)
expanded
form
347.392 = 3 x 100 + 4 x 10 + 7 x 1 +
3 x (1/10) + 9 x (1/100) +
2 x (1/1000)
A way to write numbers
that shows the place
value of each digit.
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exponent
exponent
10 x 10 x 10 x 10 = 10,000
exponent
10 x 10 x 10 x 10 = 10,000
The number that tells the
number of times the base
is multiplied by itself.
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expression
expression
x + 3
expression
x + 3
A variable or
combination of
variables, numbers, and
symbols that represents a
mathematical
relationship.
no equal sign.
no equal sign.
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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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finite decimal
finite
decimal
Example:
0.25
finite
decimal
Example:
0.25 A decimal that contains
a terminating number of
digits. (Also called a
terminating decimal.)
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formula
formula
formula
A general equation or
rule. You can use a
formula to find volume
in a rectangular prism.
length
width
height
length
width
height
V = lwh
V = lwh
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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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hundredth
hundredth
hundredth
One of 100 equal parts
of a whole.
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hundredths
hundredths 4.38
hundredths 4.38 In the decimal
numeration system,
hundredths is the name
of the next place to the
right of tenths.
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improper fraction
improper
fraction
57
improper
fraction
57
A fraction where the
numerator is greater than
or equal to the
denominator.
Greater than (or equal to)
denominator
Greater than (or equal to)
denominator
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inequality
inequality
inequality
A mathematical sentence
that compares two
unequal expressions
using one of the symbols
<, >, or ≠. e.g. 26 > 13;
13 < 26; 2 + 4 < 6 + 3
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intersect
intersect
intersect
To meet or cross.
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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.
3 3 < 5
5
3 5
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like denominators
like
denominators
like
denominators
Denominators in two
or more fractions that are
the same.
3 5 7
8 8 8
3 5 7
8 8 8
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line plot
line plot
line plot
A diagram showing
frequency of data on a
number line.
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long division
long
division
long
division
A standard procedure
suitable for dividing
simple or complex multi-
digit numbers.
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lowest terms
lowest terms
lowest terms
A fraction where the
numerator and
denominator have no
common factor greater
than 1.
4
8 in lowest terms is
1
2
4
8 in lowest terms is
1
2
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meter (m)
meter (m)
A baseball bat is about 1 meter long.
meter (m)
A baseball bat is about 1 meter long.
A standard unit of length
in the metric system.
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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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millimeter (mm)
millimeter
(mm)
The dot on a ladybug is about
1 millimeter wide.
millimeter
(mm)
The dot on the ladybug is about
1 millimeter wide.
A metric unit of length.
1,000 millimeters = 1
meter
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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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Multiplicative Identity
Property of 1
Multiplicative
Identity
Property of 1
1 group of 3 = 3
1 x 3 = 3
Multiplicative
Identity
Property of 1
1 group of 3 = 3
1 x 3 = 3
Multiplying a number
by one gives a product
identical to the given
number. Also known as
Identity Property of
Multiplication.
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numerator
numerator 4
5
numerator 4
5
The number or
expression written above
the line in a fraction.
numerator
numerator
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Order of Operations
Order of
Operations
Order of
Operations
An order, agreed on
by mathematicians,
for performing
operations to simplify
expressions.
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ordered pair
ordered
pair
(3, 2) (x , y)
ordered
pair
(3, 2) (x , y)
A pair of numbers that
gives the coordinates of
a point on a grid in this
order (horizontal
coordinate, vertical
coordinate).
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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). Origin (0, 0)
Origin (0, 0)
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parentheses
parentheses
( )
(2 + 3) x 4
5 x 4
20
parentheses
( )
(2 + 3) x 4
5 x 4
20
Used in mathematics as
grouping symbols for
operations. When
simplifying an expression,
the operations within the
parentheses are performed
first.
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perpendicular
perpendicular
perpendicular
Forming right angles.
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place value
place value
place value
The value of the place
of a digit in a number.
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plane
plane
plane
A flat surface that
extends infinitely in all
directions.
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powers of ten
powers of
ten
powers of
ten
Using a base number of
10 with an exponent.
Our number system is
based on the powers of
10.
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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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proper fraction
proper
fraction
proper
fraction A fraction less than
one. In a proper
fraction the numerator
is less than the
denominator.
less than the
denominator
less than the
denominator
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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
III
Quadrant
I
Quadrant
II
Quadrant
IV
y
x
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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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remainder
remainder
15 r. 2
9 137
remainder
15 r. 2
9 137
The number that is left
over after a whole
number is divided
equally by another.
remainder
remainder
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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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rounding
rounding 45.357 45.4
rounding 45.357 45.4
To strategy to find about
how much or how many
by expressing a number
closest to ten, hundred,
thousand, or tenth,
hundredth, thousandth,
etc.
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scaling
scaling
scaling
To increase or
decrease
proportionately in size.
3 x 1
2
Note: Product is
less than 3.
3 x 2
Note: Product is
greater than 3.
3 x 1
2
Note: Product is
less than 3.
3 x 2
Note: Product is
greater than 3.
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sequence
sequence 2, 5, 8, 11, 14, 17…
What is the pattern?
sequence
2, 5, 8, 11, 14, 17…
What is the pattern?
A set of numbers
arranged in a special
order or pattern.
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simplest form
simplest
form
simplest
form
A fraction is in simplest
form when the greatest
common factor of the
numerator and
denominator is 1.
A fraction in simplest
form has the fewest
possible pieces.
A fraction in simplest
form has the fewest
possible pieces.
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simplify
simplify
simplify
To express a fraction in
simplest form.
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solid figure
solid figure
solid figure
A geometric figure with
3 dimensions.
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standard form
standard
form 354,973
standard
form 354,973
A number written with
one digit for each place
value.
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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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tenth
tenth
tenth
One of the equal parts
when a whole is divided
into 10 equal parts.
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tenths
tenths
4.3
tenths
4.3 In the decimal
numeration, tenths is the
name of the place to the
right of the decimal
point.
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term
term
x + 14
terms
term
x + 14
terms
A number, variable,
product, or quotient in an
expression. A term is
not a sum or difference.
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thousandth
thousandth
thousandth
One of 1000 equal parts
of a whole.
0.001 or 1
1000
0.001 or 1
1000
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thousandths
thousandths
0.276
thousandths
0.276 Thousandths is the name
of the next place to the
right of hundredths in
the decimal numeration
system.
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three-dimensional figures
three-dimensional
figures
three-
dimensional
figures
A geometric figure that
has length, width, and
height.
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tiling
tiling
2 3 6 of =
3 4 12
tiling
2 3 6 of =
3 4 12
Repeated shapes that fill
a plane. The shapes do
not overlap and there are
no gaps.
You can find the area of a rectangle
with fractional lengths by tiling it
with appropriate unit squares. The
green area represents 2 3 6
x = 3 4 12
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two-dimensional figures
two-dimensional
figures
two-
dimensional
figures
Having length and
width. Having area, but
not volume. Also called
a plane figure.
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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 fraction
unit fraction 1
2
unit
fraction
1
2
A fraction with a
numerator of 1.
Example
Example
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unlike denominators
unlike
denominators
unlike
denominators
Denominators that
are not equal.
1 1 1
3 4 5
1 1 1
3 4 5
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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
whole
numbers
Whole numbers are zero
and the counting numbers 1,
2, 3, 4, 5, 6, and so on. If a
number has a negative sign,
a decimal point, or a part
that’s a fraction, it is not a
whole number.
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x-axis
x-axis
x-axis
In a coordinate plane, 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 coordinate plane, 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.