Presentation

  1. 1

    Bring the whole, the halves, and the fourths to the table.

  2. 2

    Remove the whole: 'This is one whole.' Replace it.

  3. 3

    Remove the two halves one at a time: 'This is one half. This is one half. Two halves make one whole.' Replace them.

  4. 4

    Do the same with the fourths: 'Four fourths make one whole.'

  5. 5

    Three-period lesson with one whole, one half, and one fourth.

  6. 6

    Mix the pieces on the table; the child returns each to its frame.

  7. 7

    In later lessons introduce thirds, then fifths to tenths.

Extensions, easiest to hardest

  1. Child counts the parts in each circle and names them.
  2. Trace pieces on paper, color them, and label them with words.
  3. Cut paper circles or fruit into halves and fourths at snack time.

Control of error

Each piece fits only its own frame, and the pieces of a circle fill it exactly with no gaps.

Ready to move on when the child…

  • Names whole, half, third, and fourth when shown a piece
  • Replaces all pieces in their frames without help
  • Says how many halves, thirds, or fourths make one whole

Try “pink tower”, “tummy”, “diaper”, “grace and courtesy”, or “October”.