Model Division as Sharing into Equal Groups
Model Division as Sharing into Equal Groups is a Grade 3 math skill from Eureka Math covering partitive division through hands-on modeling. Given Total ÷ Number of Groups = ?, draw the specified number of groups and distribute the total objects one at a time until all are placed. The number of objects in each group is the quotient. This concrete modeling strategy gives third graders a reliable method to understand and solve division problems before moving to abstract fact recall, reinforcing the meaning of division as fair sharing.
Key Concepts
A division equation of the form $Total \div Number\ of\ Groups = ?$, can be modeled by drawing the specified number of groups and then distributing the total amount equally among them. The number of items in each group is the solution.
Common Questions
How do you model division as sharing into equal groups?
Draw the number of groups specified by the divisor. Distribute objects from the total one at a time into the groups equally until all are placed. Count the objects in one group—that is the quotient.
Model 15 ÷ 3 by sharing into equal groups.
Draw 3 circles. Distribute 15 objects one at a time into the circles until all 15 are placed. Each circle receives 5 objects. So 15 ÷ 3 = 5.
What is partitive division?
Partitive division divides a total into a known number of equal groups to find the size of each group. The number of groups is known; the size per group is the unknown.
How is this different from quotative division?
In quotative division, the group size is known and you find the number of groups. In partitive (sharing) division, the number of groups is known and you find the group size.
In which textbook is Model Division as Sharing into Equal Groups taught?
This skill is taught in Eureka Math, Grade 3.