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BINOMIAL MULTIPLICATION, PART TWO—DYNAMIC ALGEBRA TILES

Grades: 8‒9

Students use grids of virtual algebra tiles to interpret and solve binomial multiplication problems of the form
(ax + b)(cx + d), where b and/or d is negative. Students build grids whose dimensions correspond to the binomial factors and then find and add the partial products to determine the overall product. 

OBJECTIVES 
  • Students will find the products of two binomials using a grid of algebra tiles.
  • Students will use virtual algebra tiles to expand binomial multiplication problems of the form (ax + b)(cx + d), where b and/or d is negative.
  • Students will relate a multiplication problem represented in numerical form to the same problem represented with algebra tiles.

COMMON CORE CONNECTIONS 
Mathematical Practices

(1) Make sense of problems and persevere in solving them; (2) Reason abstractly and quantitatively; (3) Construct viable arguments and critique the reasoning of others; (5) Use appropriate tools strategically; (7) Look for and make use of structure.

Content Standards

A-APR; A-SSE3a

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This activity is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License: http://creativecommons.org/licenses/by-nc-sa/3.0/. If you adapt and/or share this activity, you must attribute it to "KCP Technologies, a McGraw-Hill Education Company." You may distribute it only non-commercially under the same or similar license.


This material is based upon work supported by the National Science Foundation under KCP Technologies Award ID 0918733, with grant period September 1, 2009 through August 31, 2013. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
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