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SWIFT
MATH PORTFOLIO RUBRIC
Name ___________________________________________
Approach, ConnecReasoning
tions
4
POSSIBLE
4
Problem________________________________
Solution
Language
3
3
Represen- Documentation
tation
3
3
Total
20
Student score
Teacher score
Problem Solving Criteria
APPROACH AND REASONING
Level 1
 Your approach
does not work
Level 2
 Your approach
solved only part of
the problem
OR

I cannot tell
how you
approached the
problem
OR

Your approach
would work, but
there is some flaw
in your reasoning.
Level 3
Your approach
worked (or would
work) for solving the
problem. Your
reasoning, if evident,
has no mistakes.
(Use of a formula is
an approach that
worked or would
work.)
Level 4
Your approach worked, and at least one of
the following three aspects of good problem
solving is evident:
 You justified the application of a known
formula or rule (for all or part of the
problem)
OR

You made a formula or rule and used it
to solve all or part of the problem

You verified your solution (in other
words, you checked your work).
OR
CONNECTIONS
Level 1
You stopped
without including a
mathematically
relevant
observation about
your solution
Level 2
Level 3

You made a
mathematically relevant
observation about your
solution

You identified an
underlying mathematical
concept or pattern in your
solution
OR
OR
 You solved the problem,
then recreated the problem
and found a new solution
 You related the problem to a
similar problem or to a real world
phenomenon by expressing the
mathematical relationships


OR

You solved the problem
and then used a different
mathematical process to
solve the same problem.

OR
You analyzed the relationship
among elements in the solution or
among similar or different
mathematical topics in the solution
OR
You made and tested a
conjecture about the solution,
whether or not the conjecture was
right
OR
Level 4
You solved the problem,
discovered a general rule about
the solution, and demonstrated
understanding of the
generalization either through
explanation of the derivation or
through application to more than
one other case
OR
You solved the problem and then
extended the solution to a more
complicated situation
OR
You evaluated the reasonableness
or the significance of the solution.
You identified a formula or rule
that worked or would work in
solving all or part of that problem
SOLUTION
Level 1
You didn’t show any work
OR
No part of the solution is correct
OR
You showed some work, but the work
doesn’t support your answer
Level 2
Your solution is right for part of the
problem (but not all of it), and there
is work to support the correct parts
OR
Your solution contains errors which
lead to an incomplete or incorrect
answer
Level 3
Your answer is correct, and the work
in the solution supports the answer.
MATHEMATICAL LANGUAGE
(TERMS, VOCABULARY AND SYMBOLIC NOTATION)
Communication Criteria


Level 1
You didn’t
use math
language,
or if you
did, it was
just words
like “add”
and
“subtract”
You used
math
language,
but not
correctly
Level 2
Your write-up contains minor flaws. You used a
little of the language of:
 Number sense and numeration, number
relationships, number systems and number
theory (including fractions and decimals)
OR

Geometry or measurement

Statistics and probability

Patterns, functions or algebra

Demonstrates understanding of noncomputation language presented in the task.
Level 3
Your write-up has no significant flaws and
demonstrates understanding through either:
1. Consistent use of quality language beyond that
presented in the task, including the language of:
 Number sense and numeration, number
relationships, number systems and number
theory, (including fractions and decimals)
OR
OR

Geometry or measurement

Statistics and probability


Patterns, functions or algebra
I used algebra notation with defined
variables, or other notation to communicate
my solution.
OR
OR
OR
OR
OR
2. Use of algebraic or other notations
MATHEMATICAL REPRESENTATION
(GRAPHS, PLOTS, CHARTS , TABLES, MODELS AND DIAGRAMS)
Level 1
You didn’t try to make any
mathematical representations to solve
or communicate an aspect of the
solution
OR
Level 2
You tried to make an appropriate
mathematical representation to solve
or communicate an aspect of the
solution, but the representation lacks
labels and/or accuracy.
Level 3
You made an appropriate and
accurate mathematical representation
to solve or communicate an aspect of
the solution.
You made only inappropriate
mathematical representations to solve
or communicate an aspect of the
solution
DOCUMENTATION
Level 1
Your write-up contains little or no
evidence of how the problem was
solved.
Facilitator Comments:
Level 2
Your write-up contains some
clear parts, but there are gaps in
how you solved the problem or
the reasoning used.
Level 3
Your write-up clearly shows how the problem
was solved and the reasoning used. This may
be evident by some of the following:
 Results of any necessary computation are
present
 Answers are highlighted
 Presentation is in logical order
 Representations are linked to text
 All parts are connected and labeled.