Horizontal Golden Bead Frame: Carrying Mentally

Age
7-8.

Materials

 * The Horizontal Bead Frame
 * Box of 4 series of gray cards on which 1-9 is written in black
 * Strips of white paper

Preparation
The child sets up the multiplication problem on the frame.

2443 x 46

Presentation

 * 1) 3 x 6 = 18 move down 8 units, remember one ten in your head.
 * 2) 5 x 6 = 30...+1 = 31 move down 1 ten, remember 3 hundreds.
 * 3) 4 x 6 = 24...+3 = 27 hundreds-move down 7 hundreds, etc.
 * 4) Record the partial product and clear the frame before beginning multiplication by the tens.

Points Of Interest
The work done with this frame is on a higher level of abstraction than the work with the hierarchic frames.

In both activities the tens, hundreds and thousands of the multiplier were reduced by a power of 10, while the multiplicand increased by a power of 10. The same work was done in two different ways. At the end of this work the child should understand that when he starts multiplying with a new digit of the multiplier, he must move over one hierarchy. The partial products must start from the same hierarchy as the corresponding digit of the multiplier.

Purpose

 * This activity forms the basis for an understanding of the function of multiplication with a multiplier of two or more digits, and a preparation for abstract solution.
 * The child doing this activity will be stimulated to invent his own problems.