Access Point #: MAFS.3.OA.2.AP.5a (Archived Access Point)


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Recognize multiplication as commutative and associative.

Clarifications:

Essential Understandings

Concrete:

  • Use manipulatives to show how related problems (e.g., 2 × 3 = 3 × 2) result in the same product.
  • Use manipulatives to show how grouping of factors will not change the end product when working with more than 2 factors {e.g., (2×3)×4 = 2×(3×4)}.
Representation:
  • Compare related problems (2 × 3 = 3 × 2).
  • Compare related problems {(2×3)×4 = 2×(3×4)}.
  • Use the symbols: ×, =, (, and related concepts.

Number: MAFS.3.OA.2.AP.5a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Understand properties of multiplication and the relationship between multiplication and division. (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.3.OA.2.5: Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)



Related Courses

Name Description
5012050: Grade Three Mathematics
7712040: Access Mathematics Grade 3
5012055: Grade 3 Accelerated Mathematics
5012015: Foundational Skills in Mathematics 3-5