Presentation

  1. 1

    Give three children the same card set, 1,232. Each child brings that quantity.

  2. 2

    Check each quantity. Say: 'Everyone brought the same amount.'

  3. 3

    Combine the beads, starting with the units, count each category, and find the large cards: 3,696.

  4. 4

    Say: 'We took 1,232 three times. That is multiplication.' Write '1,232 × 3 = 3,696' and read 'times'.

  5. 5

    In later lessons choose numbers that need exchanging, such as 1,346 × 3.

  6. 6

    Have the child record each problem on paper.

Extensions, easiest to hardest

  1. Two times, then four times, a quantity.
  2. Problems that need exchanging in more than one category.
  3. One child forms the quantity several times alone and records the answer.

Control of error

Each child's quantity is checked against the same card before combining; the combined beads are recounted against the product cards.

Ready to move on when the child…

  • Explains that multiplication is adding the same number again
  • Solves and records single-digit multiplication with exchanging

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