Small Bead Frame: Multiplication by 10, 100, 1000

Age
6-9.

Materials

 * Ssmall bead frame
 * Paper and pencil

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.

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.