Resources and Tools for Elementary Math Specialists and Teachers
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Areas in a Multiplication Table

This interactive Wolfram Demonstration helps students visualize the relationship between multiplication and the area of a rectangle. On a 10x10 multiplication table, with 1 in the lower left and 100 in the upper right, users adjust the size of a rectangle by dragging a vertex or sliders, or by choosing a product from a pulldown list. The resulting rectangle highlights the width, height and area (factors and product) as well as other equivalent areas (products) on the board, illustrating commutativity and multiple factor pairs. Wolfram CDF Player, a free download, is required to view this resource.
Contributed by: Wolfram Demonstrations Project - Publisher, Michael Schreiber - Author
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.
Math TopicGeometry, Measurement, Number Sense, Basic Operations, Number Concepts, Algebraic Thinking, Mathematical Practices, Mathematical Processes
Grade Level3, 4, 5
Resource TypeActivity, Interactive Media

  • Additional Information
    • AudienceLearner
    • LanguageEnglish (USA)
    • Education Topic
    • Interdisciplinary Connection
    • Professional DevelopmentNo
    • ContributorWolfram Demonstrations Project - Publisher, Michael Schreiber - Author
    • Publication Date2012
    • RightsCopyright (c) 2012 Wolfram Demonstrations Project & Contributors
    • AccessFree access
  • Standards
    • Common Core State Standards for Mathematics

      Select a standards document:

  • User Comments
    • 1
      needs a copy editor
      By Uncle Bob on 06/25/2012 - 10:04
    • The applet functions OK. Poorly annotated. Area is not always length times width (a dangerous generalization that many people adopt). What does tallest area mean? "Drag any locators to move it around." is vague or even ungrammatical.