Relational Thinker with Multiplication

Recognizes and uses patterns that involve multiplication as repeated addition and use of the distributive property to partition number facts. In functional thinking, generalizes functional relationships between two data sets, using letters as variables to represent this relationship.


You may see this:

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Other Examples:

  • A child recognizes 3 x 6 + 3 = 4 x 6 as a true statement without performing all computations.
  • Given a situation involving two data sets, relates the columns in a t-chart, describing the specific math transformation that would apply to each number in the first column to generate the corresponding number in the second column.

Help your student become a(n) Relational Thinker with Multiplication

Activities build on the previous levels to now feature multiplicative thinking and the distributive property, lets you multiply a sum by multiplying each addend separately and then add the products, such as in 5 X 7 = 5 X (5 + 2) = 5 X 5 + (5 X 2) = 25 + 10 = 35. Math talk and the use of multiple strategies are important, as it discussing why different strategies can yield the same answer.

Special Thanks To

Institute of Education Sciences
The research reported here was supported by the Institute of Education Sciences, U.S. Department of Education, through grant numbers R305K050157, R305A120813, R305A110188, and R305A150243. to the University of Denver. The opinions expressed are those of the authors and do not represent views of the Institute or the U.S. Department of Education.