Passage from One Square to a non-Succeeding Square

Age
6-9.

Materials

 * Box of colored bead bars 1-10
 * One each of the squares of 1-10
 * Rubber bands

Presentation

 * 1) The directress volunteers to assist in constructing a square of 9 from a square of 5.
 * 2) Directress says: "What is the difference when you take 5 from 9? "
 * So, how many more bars of 5 must be added to this side to make 9?"
 * 1) Four bars of 5 are added to the right side.
 * 2) In the same way 4 5-bars are added to the bottom.
 * 3) Again, there is a hole.
 * 4) Count the number of beads on the sides of the hole...4 by 4.
 * 5) Four 4-bars can be replaced by the square,
 * 6) Use the square of 9 to control:
 * 7) 5 x 5 + 5 x 4 + 5 x 4 + 4 x 4
 * 8) What was added? 25 + 20 + 20 + + 16 = 81
 * 9) 9 x 9 = 81