Parts and Wholes X/÷

Predicts qualitatively the inverse relation between divisor and quotient in simple, concrete situations. Can re-assemble equal groups or parts to make the collection of the single whole as "n times as many (much)."


You may see this:

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Other Examples:

  • When asked if she would rather share with 2 or 3 people, a child states “If you share with more people, each person gets fewer.”

Help your student become a(n) Parts and Wholes X/÷

Activities require children to build an understanding that when a number is divided among more people, each person receives less, and vice versa. See the activity based on the book "The Doorbell Rang" for a fun introduction and clear example. (See the right column, the "Compare" row in the "Common Multiplication and Division Situations" document in Resources.)

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.