NC.1.oa.3
Apply the commutative and associative properties as strategies for solving addition problems.
Embedded Files
Step 1: Lesson Standards & Learning Goals
This standard calls for students to apply both the commutative and associative properties of operations as they solve addition problems.
Students use mathematical tools and representations (e.g., cubes, counters, number balance, number line, 100 chart) to demonstrate the commutative and associative properties of operations in the context of solving a problem.
Students in first grade do not use the formal terms “commutative” and “associative”.
See Unpacking Document for examples.
Sample Essential Questions
Sample Essential Questions
What strategies can be used to solve addition problems?
What strategies can be used to add 3 addends?
Vocabulary
Vocabulary
associative property
commutative property
fact family
order
related facts
*Students in first grade are not expected to know the terms “commutative” and “associative." However, they may be introduced during instruction.
Students will be able to...
Students will be able to...
Use mathematical tools and representations to demonstrate the commutative and associative properties of operations.
Use the commutative and associative properties of operations to solve addition properties.
Students will know...
Students will know...
The order of the addends does not change the sum (commutative property).
The grouping of addends does not change the sum (associative property).
Step 2: Assessment
NCDPI Math Assessment Released Forms
Grade 1 Math Assessment Practice Prompts
Grade 1 Released Summative Assessments
Tools 4 NC Teachers
Tools 4 NC Teachers
Step 3: Lesson Instructions
Possible Activating Strategies
Possible Activating Strategies
Video Clip
Stop at 1:46 for Commutative Property
Start at 3:32 for Associative Property
Turn and Talk
Post a math problem such as 3 + 2 + 1 = ____.
Ask students to discuss what numbers they added first to get their answers.
Ask students to try adding the numbers in a different order to see if it equals the same sum.
Teacher Resources
Teacher Resources
Tools 4 NC Teachers
Math Expressions - (Barnes and Hearne) - Standards Alignment
Motivation Math
Think Up! Math
Khan Academy - 1st Grade Math
Eureka Math/Engage NY Free Resources
Embarc Online (Eureka Math)
G1 M1 Topic E: The Commutative Property of Addition and the Equal Sign
G1 M1 Topic F: Development of Addition Fluency within 10
G1 M2 Topic A: Counting On or Making Ten to Solve Result Unknown and Total Unknown Problems
G1 M2 Topic B: Counting On or Taking From Ten to Solve Result Unknown and Total Unknown Problems
G1 M2 Topic C: Strategies for Solving Change or Addend Unknown Problems
Zearn Math - Online Support Practice for Eureka Math (Requires free account)
North Carolina Collaborative for Mathematics Learning - Grade 1 Instructional Framework
NCDPI Resources
Grade 1 Math Assessment Practice Prompts
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