Grade 3 Mathematics Module 3, Topic A, Overview

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Topic A begins by revisiting the commutative property.  Students study familiar facts from Module 1 to identify known facts using units of 6, 7, 8, and 9 (3.OA.5, 3.OA.7).  They realize that they already know more than half of their facts by recognizing, for example, that if they know 2 × 8, they also know 8 × 2 through commutativity.  This begins a study of arithmetic patterns that becomes an increasingly prominent theme in the module (3.OA.9).  The subsequent lesson carries this study a step further; students apply the commutative property to relate 5 × 8 and 8 × 5, and then add one more group of 8 to solve 6 × 8 and, by extension, 8 × 6.  The final lesson in this topic builds fluency with familiar multiplication and division facts, preparing students for the work ahead by introducing the use of a letter to represent the unknown in various positions (3.OA.3, 3.OA.4). 

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Common Core Learning Standards

CCLS State Standard
3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole...
3.OA.5 Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is...
3.OA.7 Fluently multiply and divide within 100, using strategies such as the relationship between...

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