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Identify a whole

A whole is the complete object, length, or collection being considered before it is partitioned into equal parts; its size depends on the chosen unit, not on the number of pieces shown. The learner identifies the entire unit in area models, length models, and sets, distinguishes the whole from one of its fractional parts, and understands that equal parts must combine to make one whole. More general or abstract definitions of wholes and fractions are not included.

Detailed Explanation: Identify a whole

The whole is the complete object or collection before it is split into parts. To find it:

  1. Look for the outside boundary around everything.
  2. Include all the equal parts inside that boundary.
  3. Check that all the parts together make the complete object.

Example: A chocolate bar is split into 3 equal pieces.

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  • The outside boundary around all three pieces shows the whole.
  • The whole is the entire chocolate bar.
  • One small box is one part, not the whole.
  • When the 3 equal pieces are put together, they make 1 whole chocolate bar.

So, the answer is: The whole is the entire chocolate bar.

Learn by doing: Identify a whole

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    Fractions Thirds - Which Completes the Whole

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