Grade 6
Unit 3
Table of Contents
Algebraic Expressions
Section
Unit Description
Unit Standards
Unit Essential Questions
Unit Proficiencies (Learning Targets)
Unit Vocabulary and Language Support
Sample Unit Calendar and Possible Supporting Materials
Student Proficiencies Handout
Unit Assessments and Rubric/Commentary
Page Number
Grade 6
Content Unit 3
Dates of Unit:
12/01/14-1/23/15
Unit Title:
Stage 1
Unit
Description:
Algebraic Expressions
Identify Desired Results
Standards:
6.EE.1 Write and evaluate numerical expressions involving whole-number exponents.
6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.2a Write expressions that record operations with numbers and with letters standing for numbers.
6.EE.2b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or
more parts of an expression as a single entity.
6.EE.2c Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world
problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when
there are no parentheses to specify a particular order (order of operations).
6.EE.3 Apply the properties of operations to generate equivalent expressions.
6.EE.4 Identify when two expressions are equivalent (ie. when the two expressions name the same number regardless of which
value is substituted into them).
In this unit the students will be able to read, write and evaluate numerical and algebraic expressions including examples from real-world
situations. Students will understand and use order of operations, identify parts of an expression using mathematical terms, apply properties of
operations to generate equivalent expressions, and identify when two expressions are equivalent.
MP.7 Look for and make use of structure.
MP.8 Look for and express regularity in repeated reasoning.
Essential
Question:
Standard
Proficiencies
(Learning Targets)
How can you read, write, and evaluate expressions using the order of operations, exponents and variables?
6.EE.1
I can write and evaluate
numerical expressions with
whole number exponents.
6.EE.2
I can write, read, and evaluate
expressions in which letters
stand for numbers.
6.EE.3
I can apply the properties of
operations to write equivalent
expressions.
6.EE.4
I can identify two equivalent
expressions and prove they are
equivalent.
I can translate written phrases
into algebraic expressions
using numbers and variables.
I can identify parts of an
expression using mathematical
terms (sum, term, product,
factor, quotient, coefficient.)
I can describe one or more
parts of an expression as a
single entity.
I can evaluate expressions
using order of operations.
I can use formulas to solve
real-world problems.
Stage 2
Determine Assessment Evidence
Academic Language Function(s):
Academic Language (What language will students need to sound like experts?)
Academic Language Stems:
Easy for Beginners
Academic Vocabulary:


Medium for Intermediate
Difficult for Advanced and Fluent
Assessment
Tools:
 Goals Rubric
 Assessment Checklist
Student Name
B = Beginning
D = Developing
P = Proficient
M=Mastery
Vocabulary
I can identify two
equivalent expressions
and prove they are
equivalent.
I can apply the properties of
operations to write equivalent
expressions.
I can use formulas
to solve real-world
problems.
I can evaluate
expressions using
order of operations.
more parts of an
expression as a single
entity.
I can describe one or
I can identify parts of an
expression using mathematical
terms (sum, term, product,
factor, quotient, coefficient.)
I can translate written
phrases into algebraic
expressions using
numbers and variables.
I can write, read, and
evaluate expressions in
which letters stand for
numbers.
I can write and evaluate
numerical expressions
with whole number
exponents.
Unit of Study Assessment Checklist
Stage 3
Plan Learning Experiences and Instruction
SAMPLE UNIT CALENDAR
I can write and evaluate
numerical expressions with
whole number exponents.
I can write and evaluate
numerical expressions with
whole number exponents.
I can write, read, and
evaluate expressions in
which letters stand for
numbers.
I can write, read, and
evaluate expressions in
which letters stand for
numbers.
Assessment: Write, read,
and evaluate numerical
expressions with numbers
and variables.
I can translate written
phrases into algebraic
expressions using numbers
and variables.
I can translate written
phrases into algebraic
expressions using numbers
and variables.
I can identify parts of an
expression using
mathematical terms (sum,
term, product, factor,
quotient, coefficient.)
I can identify parts of an
expression using
mathematical terms (sum,
term, product, factor,
quotient, coefficient.)
Assessment: Translate
written phrases and
identify parts of an
expression.
I can describe one or more
parts of an expression as a
single entity.
I can describe one or more
parts of an expression as a
single entity.
I can evaluate expressions
using order of operations.
I can evaluate expressions
using order of operations.
Assessment: Describe and
Vocabulary
Assessment: Vocabulary
I can use formulas to solve
real-world problems.
I can use formulas to solve
real-world problems.
Assessment: Formulas
I can apply the properties
of operations to write
equivalent expressions.
I can identify two
equivalent expressions and
prove they are equivalent.
I can identify two
equivalent expressions and
prove they are equivalent.
I can identify two
equivalent expressions and
prove they are equivalent.
Assessment: Properties
and equivalent expressions.
Materials
evaluate expressions.
ALGEBRAIC EXPRESSIONS Name ______________________________
Date ________________________ Period _____
PROFICIENCIES
My Proficiency Assessment Scores
Proficiency # – “ I can write and evaluate numerical expressions
with whole number exponents.”
Proficiency # – “ I can write, read, and evaluate expressions in
which letters stand for numbers.
Proficiency # – “I can translate written phrases into algebraic
expressions using numbers and variables..”
Proficiency # – “I can identify parts of an expression using
mathematical terms (sum, term, product, factor, quotient,
coefficient.)
Proficiency # – “I can describe one or more parts of an expression
as a single entity.”
Proficiency # – “I can evaluate expressions using order of
operations..”
Proficiency # – “I can use formulas to solve real-world
problems..”
.
Proficiency # – “I can apply the properties of operations to write
equivalent expressions.”
Proficiency # – “I I can identify two equivalent expressions and
prove they are equivalent.”
Proficiency # – “I can understand and use mathematical
vocabulary .”
algebraic expression
numerical expression
exponent
base (of an exponent)
squared
cubed
out of
term
coefficient
variable
equation
equivalent
evaluate
value
increase
decrease
formula
Associative Property
Commutative Property
Distributive Property
Order of Operations
⧠ I know how to add, subtract, multiply and divide single digit numbers efficiently.
⧠ I know how to add, subtract, multiply and divide multi- digit whole numbers, decimals, and
fractions.
⧠ I know how to stick with a problem until it’s finished.
⧠ I know how to substitute a number for a variable and use a formula.
⧠ I understand and know how to use math vocabulary appropriately.
⧠ I know how to correctly use the order of operations.
add
sum
subtract
difference
factor
multiply
product
divide
quotient
See me if you look at this list and think, “uh, oh…”
Proficiency Assessment…
Name _________________________________
Date _______________________ Period ____
Proficiency # – “I can ….”
Proficiency
Score
4
Percentage
3
83%
2
67%
1
50%
100%
Description
WOW!
I have shown proficiency and deeper understanding by:

You got it 
I have shown proficiency by:

Help is needed
I have shown partial understanding by:

Uh-oh…
I have not yet shown my understanding of the math.
Name _________________________________
Date _______________________ Period ____
Proficiency # – “I can .”
Proficiency
Score
4
Percentage
3
83%
2
67%
1
50%
100%
Description
WOW!
I have shown proficiency and deeper understanding by:

You got it 
I have shown proficiency by:

Help is needed
I have shown partial understanding by:

Uh-oh…
I have not yet shown my understanding of the math.