Multiplication the Algebra Way: Activities Integrating Math and Science (with CD)

Dr. Arthur Wiebe,Sheldon Erickson,Cheryl Hartshorn

ISBN 10: 1605190845 / ISBN 13: 9781605190846

Published by AIMS Education Foundation, 2012

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Bibliographic Details

• Title: Multiplication the Algebra Way: Activities Integrating Math and Science (with CD)
• Publisher: AIMS Education Foundation
• Publication Date: 2012
• ISBN 10: 1605190845
• ISBN 13: 9781605190846
• Binding: paperback
• Condition: Good

About this title

Synopsis

The distributive property plays a central role in arithmetic, algebra, and beyond. It is important for students to build a firm understanding of algebraic multiplication algorithms while still in the familiar environment of arithmetic. A deep understanding of the distributive property requires students to have a thorough understanding of important number base concepts. It may come as new insight that the “unknown x” in algebra imbeds these number base concepts. Early activities require students to constantly attend to the “ten-ness” of our numeration system. This is followed by learning to think in terms of “three-ness”, “four-ness”, and “five-ness”. Finally, all of these understandings are incorporated into thinking in terms of “x-ness”. This sequence helps students to build a firm understanding of multiplication that will serve them well in their study of algebra. Throughout, students use three forms for representing expressions and physical models constructed with algebra tiles, pictorial sketches, and abstract statements. There is a constant interplay among the three forms to help enrich understanding. Activities include the multiplication of integers, decimal fractions, mixed fractions, and expressions with variables. Using algebra tiles, students model and find the product of algebraic expressions such as (x + 2)(x + 3) and factor expressions such as x2 + 4x + 3