Domain:
Operations and Algebraic Thinking 5.OA
Mathematical Content Standard:
Cluster:
Level:
Write and interpret numerical expressions.
1. Use parentheses, brackets, or braces in numerical expressions,
and evaluate expressions with these symbols.
Featured Mathematical
Practice:
5th Grade
Correlated WA Standard:
5.MP.1 Make sense of problems and
persevere in solving them.
5.MP.6 Attend to precision.
5.MP.7 Look for and make use of
structure.
Standard Clarification/Example: Evaluate expressions using order of operations to
include (parentheses), [brackets], or {braces}.
Pacing:
Task Analysis:
Vocabulary:
Sample Assessment Item:
With whole numbers:
Prior
{[2 x (3+5)] – 9} + [5 x (23-18)]
 Recall that when evaluating numerical expressions, multiply
 Add
and divide before adding and subtracting.
 Subtract
12 – (0.4 x 2)
 Evaluate numerical expressions with two or more operations.
 Multiply
 Simplify numerical expressions using order of operations x,
 Divide
 Order of Operations
÷, +, - including parentheses.
 Expression
 Simplify numerical expressions using order of operations x,
÷, +, - including parentheses and brackets.
Explicit
 Simplify numerical expressions using order of operations x,
 Parentheses
÷, +, - including parentheses, brackets, and braces.
 Brackets
With non-negative fractions and decimals:
 Braces
 Evaluate
 Recall operations with fractions and decimals.
 Simplify
 Recall that when evaluating numerical expressions, multiply
and divide before adding and subtracting.
 Evaluate numerical expressions with two or more operations. Introductory
 Simplify numerical expressions using order of operations x,
 Exponent
÷, +, - including parentheses.
 Simplify numerical expressions using order of operations x,
÷, +, - including parentheses and brackets.
 Simplify numerical expressions using order of operations x,
÷, +, - including parentheses, brackets, and braces.
Domain:
Operations and Algebraic Thinking 5.OA
Mathematical Content Standard:
Cluster:
Write and interpret numerical expressions.
2. Write simple expressions that record calculations with numbers,
and interpret numerical expressions without evaluating them. For
example, express the calculation “add 8 and 7, then multiply by 2”
as 2x (8 + 7). Recognize that 3 x (18932 + 921) is three times as
large as 18932 + 921, without having to calculate the indicated sum
or product.
Featured Mathematical
Practice:
Level:
5th Grade
Correlated WA Standard:
5.MP1 Make sense of problems and
persevere in solving them.
5.MP2 Reason abstractly and
quantitatively.
5.MP6 Attend to precision.
5.MP7 Look for and make use of
structure.
Standard Clarification/Example: Use understanding of operations and grouping symbols to
write expressions and interpret the meaning of a numerical expression without solving the
expression.
Pacing: Should be taught
after 5.OA1
Task Analysis:




Vocabulary:
Distinguish between expressions and equations.
Write expressions for one operation from a verbal phrase.
Write expressions for two or more operations from a verbal phrase using
parentheses when needed to group the operations.
Describe the relationship between terms in an expression without
calculating the expression.
Sample Assessment Item:
Prior





Expression
Operations
Sum, product,
difference, quotient
Less than, more
than
Times, minus, plus,
divided by
Explicit

Parentheses
Introductory

Domain:
Operations and Algebraic Thinking 5.OA
Mathematical Content Standard:
Cluster:
Analyze patterns and relationships.
3. Generate two numerical patterns using two given rules. Identify
apparent relationships between corresponding terms. Form
ordered pairs consisting of corresponding terms from the two
patterns, and graph the ordered pairs on a coordinate plane. For
example, given the rule “Add 3” and the starting number 0, and
given the rule “Add 6” and the starting number 0, generate terms in
the resulting sequences, and observe that the terms in one
sequence are twice the corresponding terms in the other sequence.
Explain informally why this is so.
Featured Mathematical
Practice:
5.MP2 Reason abstractly and
quantitatively.
5.MP4 Model with mathematics.
5.MP5 Use appropriate tools
strategically.
5.MP6 Attend to precision.
Level:
5th Grade
Correlated WA Standard:
5.MP7 Look for and make use of
structure.
Standard Clarification/Example:
 Generate two numerical patterns using two given rules. (Grade 4.OA 3)
 Identify apparent relationships between corresponding terms.
 Form ordered pairs consisting of corresponding terms from the two patterns,

and graph the ordered pairs on a coordinate plane. (Grade 5.G 1-2)
Task Analysis:
Generate:

Generate a numerical pattern using one given rule. (Identify apparent
features of the pattern that were not explicit in the rule itself.)
 Generate two numerical patterns using two given rules.
Identify:


Compare the two patterns.
Describe the relationship between the two patterns using an operation.
Form:

Form ordered pair (x,y) by using the number of the term (ex, day=x),
then the value of the term (ex, 8 feet=y).
Graph




Pacing: Connected to 5.G 12
Define a coordinate system.
Identify the origin of the coordinate grid.
Use XY coordinates to identify locations on the coordinate grid.
Plot the ordered pairs on the coordinate grid.
Vocabulary:
Prior





Generate
Pattern
Rule
Relationship
identify
Explicit







Ordered pair
Axis
Coordinates
Coordinate grid
Plot
Origin
location
Introductory

Sample Assessment Item: