Small Bead Frame: Multiplication by 10, 100, 1000

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Age

6-9.

Materials

  • Ssmall bead frame
  • Paper and pencil

Preparation


Presentation

  1. Write down the problem 2 x 10 =.
  2. Perform this on the frame by sliding forward groups of two beads, changing as necessary.
  3. Record the product 2 x 10 = 20.
  4. Repeat the process in the problem 20 x 10 =.
  5. Record the product 20 x 10 = 200.
  6. Try this problem 2 x 100 =.
  7. It would take all day and most of the night to bring forward 100 groups of two beads.
  8. Recall from the multiplication game-Multiplication by 10, 10, 1000 the simple way to do this.
  9. Slide forward the 2 beads to correspond to the multiplicand.
  10. We can multiply 1 x 100 and get 100-slide the one unit back, and slide one hundred forward.
  11. Repeat for the second unit.
  12. Record the product 2 x 100 = 200.
  13. "We went from units to the hundreds. How many jumps did we have to take?" 2
  14. "How many zero's are in the product?" 2
  15. "The two zero's indicate that we have passed two hierarchies".
  16. Do many other examples, i.e. 2 x 1000 = to be sure that the child is very comfortable and familiar with this process.

Control Of Error


Points Of Interest

We are limited by the frame to having a multiplicand of only one digit when the multiplier is 1000 and viceversa.

Purpose

  • Tto understand of the use of the small bead frame in performing multiplication.
  • To reinforce the concepts of the relative positions of the hierarchies, and changing from one hierarchy to another.

Variation


Links


Handouts/Attachments