## 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 interactive Flash book, one in Greg Tang's series that combines math with poems and pictures, challenge learners to calculate how many objects are in each scene by thinking quickly in groups rather than counting. This more advanced book focuses on smart grouping strategies that make computations faster, easier and more accurate by looking for patterns, symmetries and rearrangements.
Activity, Interactive Media, Illustration, Video
This Technology Problem of the Week (tPoW) challenges students to explain how to use the distributive property to calculate a food purchase. It links to the Java applet "Demonstration of the Distributive Law." Solve and explain your solution; download hints and answer checks. Free registration is required.
Experiment/Lab Activity
This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Three student will know, understand and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teach the Mathematics Common Core (Standard Course of Study).
Reference Materials
This 7-minute video highlights patterns in the multiplication table and offers strategies for learning multiplication facts. The presenter makes effective use of color on a multiplication grid.
Lecture/Presentation, Video
This one-page article describes and illustrates how arrays can be used to represent many number concepts, including building multiplication facts, commutativity, parity (odd/even), and exploring factors, prime numbers, and square numbers.
Instructional Strategy, Reference Materials, Article
Grade Level: 1, 2, 3, 4, 5
Resource is part of a PD collection
This interactive Flash version of the familiar Concentration game ("pelmanism" in the UK) helps a single user practice multiplication facts while developing memory and concentration skills. The player can choose an array of 16, 20, or 24 cards, which appear face down. The goal is to flip two cards at a time to match all the pairs of factors with their products as efficiently as possible. A scoring feature discourages random guessing. Users can choose to work with factors in three ranges: 2x-10x, 2x-21x, or 11x-21x. Printable versions of the game cards are available to download.
Activity, Game, Interactive Media
This 4-lesson unit assumes student understanding of multiplication; it uses patterns, properties of the operation, and games to develop fact fluency. The unit included student recording sheets, questions for students and teachers, links to online applets, and suggestions for assessment and extension.
Activity, Interactive Media, Lesson Plans, Unit of Instruction