Horizontal Golden Bead Frame: The Whole Product

Age
6-9.

Materials

 * The Horizontal Bead Frame, which lies flat on the table: t is less sensorial in that hierarchic colors and spaces between the classes have been eliminated.
 * Box of 4 series of gray cards on which 1-9 is written in black (to serve as multiplier)
 * Strips of white paper on which multiplicand will be written.

Preparation
The black lines are drawn on the board beneath the wires; they will indicate where to begin the multiplication when multiplying by units, tens, hundreds or thousands.)

Presentation

 * 1) All of the previous operations can be done with this material, but we will do the most interesting: multiplication with a two-digit multiplier.
 * 2) Directress writes down a problem, 6542 x 36 = and shows the child how to set up this problem.
 * 3) Place a white strip over the zeros and secure it with a rubber band or tape.
 * 4) Write the multiplicand on the strip so that the digits correspond to the correct wires.
 * 5) Find among the gray cards the digits needed to form the multiplier.
 * 6) Place the 6 over the lowest green dot which represents the units, and the 3 over the blue dot for the tens. The beads should be at the top to start.
 * 7) Begin multiplying 2 x 6 = 12, bring down 2 units and 1 ten. 4 x 6 = 24 tens - bring down 4 tens and 2 hundreds and so on.
 * 8) After the multiplicand has been multiplied by the units we can turn over the card '6'.
 * 9) In order to multiply by the 3 tens, 30, we must move the multiplicand to the left one space to let one red zero show. This is just like multiplying the number by 10.
 * 10) The black line indicates that we start with the row of tens.
 * 11) Continue multiplying, making changes as necessary.
 * 12) In the end we read the product and record it.