Fourth Grade Math Rubric
Math
Uses the
four
operations
with whole
numbers to
solve
problems
(4.OA.3)
1
No Progress
2
Limited Progress
toward Grade
Level Standard
3
Progressing toward
Grade
4
Meets Grade Level
Standard
5
Exceeds Grade
Level Standard
Unable to attempt to:
Attempts but is
unable to:
Inconsistently:
Consistently:
In addition to
Level 4...
● Solve word
problems having
whole number
answers using
the four
operations.
● Solve word
problems
having
whole
number
answers
using the
four
operations.
Solves multi-step
word problems having
whole number
answers using:
● the four
operations
including the
interpretation
of remainders
● equations with
a letter
standing for
the unknown
quantity
● estimation to
assess the
reasonableness
of an answer
Solves multi-step
word problems
having whole
number answers
using:
● the four
operations
including
the
interpretatio
n of
remainders
● equations
with a letter
standing for
the
unknown
quantity
● estimation
to assess the
reasonablen
ess of an
answer
● Fluently
uses all the
standard
algorithms
within each
operation
Multiplies a
whole
number of
up to 4digits by 1digit and
two 2-digit
numbers
(4.NBT.5)
● Use equations,
rectangular
arrays, or area
models to
multiply a whole
number of up to
4-digits by 1digit and two 2digit numbers
● Use
Multiplies:
Multiplies:
equations,
● a whole
● a whole
rectangular
number of up
number of
arrays, or
to 4 digits by a
up to 4
area models
1-digit whole
digits by a
to multiply a
number
1-digit
whole
● two 2-digit
whole
number of
numbers using
number
up to 4-digits
strategies
● two 2-digit
by 1-digit
based on place
numbers
and two 2value and the
using
digit
properties of
strategies
numbers
operations,
based on
including the
place value
distributive
and the
property
properties of
operations,
Illustrations solutions
including
using equations,
the
rectangular arrays,
distributive
and/or area models
property
Fluently uses the
standard algorithm
for multi-digit
multiplication
Illustrations
solutions using
equations,
rectangular arrays,
and/or area models
Adds and
subtracts
mixed
numbers
with like
● Add and subtract
mixed numbers
with like
denominators
with the use of
● Add and
subtract
mixed
numbers
with like
Adds and subtracts
mixed numbers with
like denominators by:
● replacing
mixed
Adds and subtracts
mixed numbers
with like
denominators by:
● replacing
Adds and subtracts
mixed numbers
with unlike
denominators by
using knowledge of
denominato
rs (4.NF.3c)
manipulatives
and models.
denominator
s with the
use of
manipulative
s and
models.
numbers with
equivalent
improper
fractions
OR
● using
properties of
operations
OR
● utilizing the
relationship
between
addition and
subtraction
Find wholenumber
quotients
and
remainders
(4. NBT.6)
Find whole number
quotients and
remainders with up to
three-digit dividends
and one-digit divisors
Find whole number
quotients and
remainders with up
to three-digit
dividends and onedigit divisors
Find whole number
quotients and
remainders with up to
four-digit dividends
and one-digit divisors
using strategies based
on place value, the
properties of
operations, and/or the
relationship between
multiplication and
division:
mixed
numbers
with
equivalent
improper
fractions
equivalent fractions
OR
● using
properties of
operations
OR
● utilizing the
relationship
between
addition and
subtraction
Find whole number
quotients and
remainders with up
to four-digit
dividends and onedigit divisors using
strategies based on
place value, the
properties of
operations, and/or
the relationship
between
Finds whole
number quotients
and remainders with
up to four-digit
dividends and twodigit divisors
without the aid of
concrete
manipulatives
Solves word
problems
involving
addition
and
subtraction
of fractions
(4.NF.3d)
Solve word problems
involving addition and
subtraction of fractions
with the aid of visual
models
Solve word
problems involving
addition and
subtraction of
fractions with the
aid of visual models
Recognizes
and
generates
equivalent
fractions
(4.NF.1)
Understand the concept
of equivalent fractions
with the aid of visual
models
Understand the
concept of
equivalent fractions
with the aid of
visual models
● illustrates and
explains the
calculation by
using
equations,
rectangular
arrays, and/or
area models
multiplication and
division:
● illustrates
and explains
the
calculation
by using
equations,
rectangular
arrays,
and/or area
models
Solves word problems
involving addition
and subtraction of
fractions referring to
the same whole and
having like
denominators using:
● visual models
OR
● equations to
represent the
problem
Solves word
problems involving
addition and
subtraction of
fractions referring
to the same whole
and having like
denominators using:
● visual
models OR
● equations to
represent the
problem
● Recognizes
and generates
equivalent
fractions by
using visual
models (area
● Recognizes
and
generates
equivalent
fractions by
using visual
Solves multi-step
word problems
involving addition
and subtraction of
fractions referring
to the same whole
and having like
denominators using
equations to
represent the
problem
Generate equivalent
fractions without
the aid of visual
models
models,
number lines,
or the
collection/set
model) and the
identity
property of
multiplication
(multiplying
the numerator
and
denominator
by the same
number-which
is equal to 1
whole)
● REcognizes
that the
number and
size of the
parts differ
even though
the two
fractions
themselves are
equivalent
Multiplies a
Multiply a fraction by a
Multiply a fraction
Multiplies a fraction
models (area
models,
number
lines, or the
collection/se
t model) and
the identity
property of
multiplicatio
n
(multiplying
the
numerator
and
denominator
by the same
numberwhich is
equal to 1
whole)
● REcognizes
that the
number and
size of the
parts differ
even though
the two
fractions
themselves
are
equivalent
Solves word
Applies and extends
fraction by
a whole
number
(4.NF.4)
whole number
by a whole number
by a whole number
using a visual fraction
model in order to
solve word problems
problems involving
the multiplication of
a fraction by a
whole number
using:
● visual
fraction
models
● equations to
represent the
problem
previous
understandings of
multiplication by
using the standard
algorithm to
multiply a fraction
by a whole number
Solves
problems
involving
measureme
nt including
conversions
(4.MD.2)
Use the four operations
to solve word problems
involving:
● distances
● intervals of time
● liquid volumes
● masses of
objects
● money
This includes problems
involving simple
fractions or decimals,
and problems that
require expressing
measurements given in
a larger unit in terms of
a smaller unit
Use the four
operations to solve
word problems
involving:
● distances
● intervals of
time
● liquid
volumes
● masses of
objects
● money
This includes
problems involving
simple fractions or
decimals, and
problems that
require expressing
measurements given
in a larger unit in
terms of a smaller
Use the four
operations to solve
word problems
involving:
● distances
● intervals of
time
● liquid volumes
● masses of
objects
● money
This includes
problems involving
simple fractions or
decimals, and
problems that require
expressing
measurements given
in a larger unit in
terms of a smaller unit
Use the four
operations to solve
word problems
involving:
● distances
● intervals of
time
● liquid
volumes
● masses of
objects
● money
This includes
problems involving
simple fractions or
decimals, and
problems that
require expressing
measurements
given in a larger
unit in terms of a
Converts among
different sized
standard units
within a given
measurement
systems and uses
these conversions in
solving multi-step,
real world problems
Represent measurement
quantities using
diagrams such as
number line diagrams
that feature a
measurement scale
unit
Uses
decimal
notation for
fractions
with
denominato
rs of 10 or
100
Demonstrate the
relationship between
fractions and decimals
Demonstrate the
Uses decimal notation
relationship between for fractions with
fractions and
denominators of:
decimals
● 10
● 100
and is able to locate
them on a number line
Uses decimal
notation for
fractions with
denominators of:
● 10
● 100
and is able to locate
them on a number
line
Draws,
identifies,
and
measures
lines and
angles
(4.G.1)
Draw:
●
●
●
●
●
Draw:
Draw:
● points
● points
● lines
● lines
● line
● line segments
segments
● rays
● rays
● angles (right,
● angles (right,
acute, obtuse)
acute,
● perpendicular
obtuse)
lines
● perpendicula
● parallel lines
r lines
● parallel lines Identify these in two-
Draw:
Identifies these
● points
properties in three● lines
dimensional figures
● line
segments
● rays
● angles
(right, acute,
obtuse)
● perpendicula
r lines
● parallel lines
points
lines
line segments
rays
angles (right,
acute, obtuse)
● perpendicular
lines
● parallel lines
Identify these in two-
Represent
measurement
quantities using
diagrams such as
number line
diagrams that
feature a
measurement scale
Represent
measurement
quantities using
diagrams such as
number line diagrams
that feature a
measurement scale
smaller unit
Represent
measurement
quantities using
diagrams such as
number line
diagrams that
feature a
measurement scale
Adds or subtracts
decimals to
hundredths using
concrete models or
drawings
dimensional figures
dimensional figures
Identify these in
two-dimensional
figures
Classifies
twodimensional
figures
based on
sides and
angles
(4.G.2)
Classify twodimensional figures
based on the presence or
absence of:
● parallel lines
● perpendicular
lines
● angles of a
specified size
Recognize right
triangles as a category
Identify right triangles
Identify these in
two-dimensional
figures
Classify twodimensional figures
based on the
presence or absence
of:
● parallel lines
● perpendicula
r lines
● angles of a
specified
size
Classify twodimensional figures
based on the presence
or absence of:
● parallel lines
● perpendicular
lines
● angles of a
specified size
Recognize right
triangles as a
category
Recognize right
Identify right triangles triangles as a
category
Recognize right
triangles as a category
Identify right
triangles
Compare
two
fractions
with
different
numerators
and
different
● Compares two
fractions with
different
numerators and
different
denominators,
e.g., by creating
common
● Compares
two fractions
with
different
numerators
and different
denominator
s, e.g., by
Classify twodimensional figures
based on the
presence or absence
of:
● parallel lines
● perpendicula
r lines
● angles of a
specified
size
Explains different
types of triangles
(right, isosceles,
scalene)
Compares and
contrasts different
types of triangles (
right, isosceles,
scalene)
Identify right
triangles
● Compares two
fractions with
different
numerators
and different
denominators,
e.g., by
creating
● Compares
two
fractions
with
different
numerators
and different
denominator
● Add and
subtract
fractions
with unlike
denominator
s (including
mixed
numbers) by
denominato
rs. (4.NF.2)
denominators or
numerators, or
by comparing to
a benchmark
fraction such as
1/2.
● Recognizes that
comparisons are
valid only when
the two fractions
refer to the same
whole. Record
the results of
comparisons
with symbols >,
=, or <, and
justify the
conclusions,
e.g., by using a
visual fraction
model.
creating
common
denominator
s or
numerators,
or by
comparing to
a benchmark
fraction such
as 1/2.
● Recognizes
that
comparisons
are valid
only when
the two
fractions
refer to the
same whole.
Record the
results of
comparisons
with
symbols >,
=, or <, and
justify the
conclusions,
e.g., by
using a
visual
fraction
model.
common
denominators
or numerators,
or by
comparing to a
benchmark
fraction such
as 1/2.
● Recognizes
that
comparisons
are valid only
when the two
fractions refer
to the same
whole. Record
the results of
comparisons
with symbols
>, =, or <, and
justify the
conclusions,
e.g., by using
a visual
fraction
model.
s, e.g., by
creating
common
denominator
s or
numerators,
or by
comparing
to a
benchmark
fraction
such as 1/2.
● Recognizes
that
comparisons
are valid
only when
the two
fractions
refer to the
same whole.
Record the
results of
comparisons
with
symbols >,
=, or <, and
justify the
conclusions,
e.g., by
using a
visual
fraction
replacing
given
fractions
with
equivalent
fractions in
such a way
as to
produce an
equivalent
sum or
difference of
fractions
with like
denominator
s. For
example, 2/3
+ 5/4 = 8/12
+ 15/12 =
23/12. (In
general, a/b
+ c/d = (ad
+ bc)/ bd.)
model.
Solve
problems
related to
area and
perimeter.
(4.MD.3)
Uses plce
value to
round, write
numbers
● Apply the area
and perimeter
formulas for
rectangles in real
world and
mathematical
problems. For
example, find
the width of a
rectangular
room given the
area of the
flooring and the
length, by
viewing the area
formula as a
multiplication
equation with an
unknown factor
● Apply the
area and
perimeter
formulas for
rectangles in
real world
and
mathematica
l problems.
For example,
find the
width of a
rectangular
room given
the area of
the flooring
and the
length, by
viewing the
area formula
as a
multiplicatio
n equation
with an
unknown
factor
●
●
●
and
compare
numbers
(4.NBT.1)
Represents
and
interprets
data related
to line plots.
(4.MD.4)