Resources and Tools for Elementary Math Specialists and Teachers
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Illustrating Number Properties with Arrays

This brief article advocates the use of arrays to model the commutative and distributive properties as well as the inverse relationship between multiplication and division. The author explains how arrays also help children form mental pictures that support their memory and reasoning.
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Contributed by: Jenni Way - Author, NRICH - Publisher
This resource is included in the following PD Collection(s):
Rectangular ArraysThis collection includes resources for introducing both discrete (separate objects) and continuous (area model) arrays to young learners. The resources provide suggestions about how to use arrays to introduce students to ways of organizing collections of objects, to repeated addition, to multiplication, to factorization, and to area. Helping young learners to develop a deep understanding of the characteristics of arrays will provide the foundations they will use when learning about multiplication and division, area measurement, and fractions.
CCSS Practice Standard 7This collection supports teachers as they integrate Practice Standard 7 into their classroom routines. In these articles and videos, teachers will see strategies that help guide students to look for and make use of structure as they discover and understand mathematical concepts. Additional resources for immediate use in the classroom can be found in a companion classroom collection.
Math TopicAlgebraic Thinking, Number Sense, Basic Operations, Number Concepts, Mathematical Practices, Mathematical Processes
Grade Level2, 3, 4, 5
Resource TypeInstructional Strategy, Reference Materials, Article

  • Additional Information
    • AudienceEducator, Professional/Practitioner
    • LanguageEnglish (United Kingdom)
    • Education Topic
    • Interdisciplinary Connection
    • Professional DevelopmentYes
    • ContributorJenni Way - Author, NRICH - Publisher
    • Publication Date2002-10
    • RightsCopyright (c) 2007 University of Cambridge
    • AccessFree access
  • Standards
    • Common Core State Standards for Mathematics

      Select a standards document: