Standards for Mathematical
Practice
Creating Student Friendly Language
Structure of Standards
• Standards for Mathematical Practice
A set of 8 standards that describe the ways in which
the mathematical content standards should be
approached.
• Standards for Mathematical Content
These standards define what students should
understand and be able to do in their study of
mathematics.
2
Standards for Mathematical Practice
Proficient Math Students…
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning
of others
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
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CCSS for Mathematical Practice
*Example of Student-friendly Language
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Make sense and persevere in solving problems.
I can try many times to understand and solve a math problem.
Reason abstractly and quantitatively.
I can think about the math problem in my head, first.
Construct viable arguments and critique the reasoning of others.
I can make a plan, called a strategy, to solve the problems and discuss other students’
strategies too.
Model with mathematics.
I can use math symbols and numbers to solve the problem.
Use appropriate tools strategically.
I can use math tools, pictures, drawings, and objects to solve problems.
Attend to precision.
I can check to see if my strategy and calculations are correct.
Look for and make use of structure.
I can use what I already know about math to solve the problem.
Look for and express regularity in repeated reasoning.
I can use a strategy that I used to solve another math problem.
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https://www.teachingchannel.org/videos/math-practice-standard-perseverance?fd=1
*NCTM’s Teaching Children Mathematics, March 2012 issue
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Mathematical Practice_______________________
Why is this
practice
important?
What could a
What does this
teacher do
look like and/or
sound like when within a lesson
to encourage
students are
this practice?
doing it?
How would you
assess
proficiency of
this practice?
5
UNPACKING THE STANDARDS
6
Standard
What
students
need to know
(nouns)
What students
are
able to do
(verbs)
Students will
be able to
Student friendly
language
(Teaching Point)
MACC.5.
NBT.2.6
Find whole-number
quotients of whole
numbers with up to
four-digit dividends Blank unpacking form
and two-digit divisors, Put in info from one done
using strategies based piece
on place value, the
properties of
operations, and/or the
relationship between
multiplication and
division, illustrate and
explain the calculation
by using equations,
rectangular arrays,
and/or area models.
and have it come in piece by
7
Standard
students
need to know
(nouns)
MACC.5.
NBT.2.6
•
Find whole-number
quotients of whole
numbers with up to
four-digit dividends
and two-digit divisors,
using strategies based
on place value, the
properties of
operations, and/or
the relationship
between mult. and
div, illustrate and
explain the calculation
by using equations,
rectangular arrays,
and/or area models.
•
•
•
•
•
•
•
•
•
•
Wholenumber
quotients
Four-digit
dividends
Two-digit
divisors
Strategies
Place value
Properties
of
operations
Multiplicati
on
Division
Equations
Rectangular
Arrays
Area
Models
8
Standard
students
need to know
(nouns)
MACC.5.
NBT.2.6
•
Find whole-number
quotients of whole
numbers with up to
four-digit dividends
and two-digit divisors,
using strategies based
on place value, the
properties of
operations, and/or
the relationship
between mult and div,
illustrate and explain
the calculation by
using equations,
rectangular arrays,
and/or area models.
•
•
•
•
•
•
•
•
•
•
Wholenumber
quotients
Four-digit
dividends
Two-digit
divisors
Strategies
Place value
Properties
of
operations
Multiplicati
on
Division
Equations
Rectangular
Arrays
Area
Models
are
able to do
(verbs)
•
•
•
•
Find
Use
Illustrate
Explain
9
Standard
students
need to know
(nouns)
are
able to do
(verbs)
Students will
be able to
• Find
Whole• Use various
• Use
number
strategies to
• Illustrate
quotients
divide
Find whole-number
• Explain
• Four-digit
• Interpret
quotients of whole
dividends
numbers with up to
remainders
four-digit dividends
• Two-digit
• Explain the
and two-digit divisors,
divisors
strategy used
using strategies based Blank unpacking form
• in
Strategies
on place value, the
Put
info from one done and have it come in piece by
properties of
•
Place
value
piece
operations, and/or
• Properties
the relationship
of
between mult and div,
operations
illustrate and explain
the calculation by
• Multiplicati
using equations,
on
rectangular arrays,
• Division
and/or area models.
• Equations
• Rectangular
Arrays
• Area
Models
MACC.5.
NBT.2.6
•
10
Standard
What
students
need to know
(nouns)
What students
are
able to do
(verbs)
Students will
be able to
• Find
Whole• Use various
• Use
number
strategies to
• Illustrate
quotients
divide
Find whole-number
• Explain
• Four-digit
• Interpret
quotients of whole
dividends
numbers with up to
remainders
four-digit dividends
• Two-digit
• Explain the
Blank
unpacking form
and two-digit divisors,
divisors
strategy used
using strategies based Put in info from one done and have it come in piece by
• Strategies
on place value, the
piece
properties of
• Place value
operations, and/or
• Properties
the relationship
of
between mult and div,
operations
illustrate and explain
the calculation by
• Multiplicati
using equations,
on
rectangular arrays,
• Division
and/or area models.
• Equations
• Rectangular
Arrays
• Area
MACC.5.
NBT.2.6
•
Student friendly
language
(Teaching Point)
• I can solve
division
problems using
different
strategies
• I can explain my
strategy
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