## Common Core State Standards for Mathematics

Grade(s) 3 resources related to the following standard:
Operations and Algebraic Thinking
Understand properties of multiplication and the relationship between multiplication and division.
5. Apply properties of operations as strategies to multiply and divide.2 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.)

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This series of 6 postings on the Let's Play Math blog contains a variety of strategies for helping students learn multiplication facts. After establishing her point of view, the author reviews various meanings and models of multiplication, and then suggests a sequence of methods that take advantage of patterns, number sense, and operation properties. There are numerous links to other websites with helpful ideas.
Activity, Instructional Strategy, Community
Resource is part of a PD collection
This Java applet allows a user to practice multiplying numbers by clicking on any of the blue squares to show a product or to double-clicking on any displayed product to hide it behind a blue square again. Exploration questions are included to help the learner see patterns in the table.
Activity, Interactive Media