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TWO-DIGIT MULTIPLICATION, PART ONE—USING BASE TEN BLOCKS

Grades: 4‒5

Students decompose the factors of two-digit multiplication problems into the sum of their tens and ones by manipulating a dynamic array of base-ten blocks. For example, students might decompose 27 × 39 into the equivalent problem (20 + 7) × (30 + 9). Students compute the partial products in their array and then add them together to find the product of the original problem. 

OBJECTIVES 
  • Students will find products of two-digit numbers by decomposing each number into tens and ones.
  • Students will use a rectangular array model composed of base-ten blocks to explore two-digit multiplication problems.
  • Students will understand the relationship between a multiplication problem represented in numerical form and the same problem represented with an array.

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.

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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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