 ## 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
Grade Level: 3, 4, 5 Resource is part of a PD collection
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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
Grade Level: 3, 4, 5
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This Flash-based game of chance helps children learn about the relationship between the positive and negative integers. Two players, one Positive, moving left to right, and one Negative, moving right to left, take turns rolling and adding two dice and moving a counter in their respective directions on the number line, with the goal of reaching their end of the number line (13 or -13). The game can be played with the applet or on paper (printable pdf included). A variation involving the choice of adding, subtracting, multiplying or dividing the two dice introduces strategic thinking. The Teacher' Notes page suggests strategies for introducing the game, questions to facilitate students' thinking, and a link to a simpler version of the game, Tug of War, cataloged separately.
Activity, Game, Interactive Media
Grade Level: 3, 4, 5
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This article discusses the importance of abstraction and generalization in being able to use models and diagrams effectively, whether children are creating their own models to represent a situation and explain their thinking, or interpreting a provided model. The resource offers examples to illustrate these ideas as well as teaching strategies and activities in the areas of parity, mental addition, equivalent fractions, and multi-digit multiplication.
Activity, Instructional Strategy, Instructor Guide/Manual
Grade Level: 1, 2, 3, 4, 5 Resource is part of a PD collection
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This iOS app contains a series of grid-based puzzles based on KenKen using basic math operations that help learners develop logical thinking and reasoning strategies to solve problems. The puzzles use the basic math operations of addition, subtraction, multiplication, and division skills.
Activity, Game, Interactive Media, Mobile App
Grade Level: 3, 4, 5
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