Access Point #: MAFS.1.OA.2.AP.3a (Archived Access Point)


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Recognize addition as commutative.

Clarifications:

Essential Understandings

Concrete:

  • Use manipulatives to represent addends in two related addition equations to show that changing the order of the addends does not change the sum.
  • e.g. manipulatives
Representation:
  • Model two related addition equations (e.g., 1 + 5 = 6 and 5 + 1 = 6) by coloring squares on grid paper to represent each addend with a different color to show that changing the order of the addends does not change the sum.
  • Identify pairs of equations that demonstrate the commutative property (e.g., match 2 + 6 = 8 with 6 + 2 = 8).
  • Understand the following concepts, symbols, and vocabulary: addition, plus, equal, addends, sum, order.

Number: MAFS.1.OA.2.AP.3a Category: Access Points
Cluster: Understand and apply properties of operations and the relationship between addition and subtraction. (Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.1.OA.2.3: Apply properties of operations as strategies to add and subtract. Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)



Related Courses

Name Description
5012030: Grade One Mathematics
7712020: Access Mathematics Grade 1
5012005: Foundational Skills in Mathematics K-2