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Grades K–2 · Mathematics

How can we share a small set equally?

Equal sharing means each child gets the same number of these counters. The whole set has six counters, and two children receive them. None of the counters is cut into pieces.

N01 visual explanationThere are 6 whole counters and 2 children. One-for-each complete rounds give 3 counters to each child, leaving 0 whole counters unshared. This illustration does not split counters or define fairness in other situations.Share one counter with each childBefore: 6 countersBelow: groups after sharingChild 1Child 23 each · 0 unshared

In the diagramShare one counter with each childBefore: 6 countersBelow: groups after sharingChild 1Child 23 each · 0 unshared

Six whole counters make two equal groups of three. No counters are left unshared in this picture.

One counter for each child uses two counters. Another round gives each child a second counter. A third round uses the last two. Each child now has three, and the two groups are equal.

Sometimes there are not enough counters for another full round. Those counters stay in a separate unshared pile. The groups can still be equal even when some whole counters are left over.

About this explanation

Starting knowledge: Count up to eight objects and compare two small groups.

Sources

  • Common Core State Standards Initiative — Grade 1: Operations and Algebraic Thinking
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