Maryland Math 1.NOS.C.7
The Standard
Apply the Commutative Property of Addition and Associative Property of Addition as a strategy to add.
Maryland College and Career Ready Standards for Mathematics (2025) · UNDERSTAND AND APPLY PROPERTIES OF OPERATIONS AND THE RELATIONSHIP BETWEEN ADDITION AND SUBTRACTION.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students switch the order of numbers in an addition problem without changing the total. With three numbers, they choose two to add first, often to make ten.
What Mastery Looks Like
- A student uses 4 + 7 to answer 7 + 4 without counting again. They solve 3 + 5 + 7 by adding 3 and 7 first, then adding 5.
Common Misconceptions
- Some students think switching the numbers changes the total. Others think 2 + 5 + 8 must be added from left to right, or they accidentally leave out a number when regrouping.
How to Assess It
- Exit ticket: Fill in 4 + 5 = 5 + __. Then solve 2 + 5 + 8 by circling 2 and 8 first and writing the total.
Lesson moves
Ways to Teach It
Give students 2 red, 5 blue, and 8 green cubes; have them build 10 with red and green, then add blue.
Ask, 'Why do 6 + 4 and 4 + 6 have the same total?' Have students draw both arrangements.
Give partners cards showing 3 + 6 + 4, 6 + 4 + 3, and 3 + 10; have them match equal totals.
Put 3 apples, 7 oranges, and 2 pears on a grocery list; ask which two quantities to add first and why.
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Printable 1.NOS.C.7 Worksheet
A ready-to-print activity worksheet aligned to 1.NOS.C.7, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 1.NOS.E.10.c
Use properties of operations, and/or the inverse relationship between addition and subtraction to add.
- 2.NOS.C.9.c
Use properties of operations, and/or the relationship between addition and subtraction to add and subtract.
- 1.NOS.E.12.b
Use counting strategies, properties of operations, and/or the inverse relationship between addition and subtraction to subtract.
- 3.NOS.C.4
Identify and apply the Commutative Property of Multiplication, Associative Property of Multiplication, and Distributive Property of Multiplication as strategies...
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