Analysis of the Squares: Binomial

Age
6-9.

Materials

 * Bbox of colored bead bars 1-10
 * One each of the squares of 1-10
 * Rrubber bands

Presentation

 * 1) The directress presents the hundred square, and the child identifies it as the square of 10, or the hundred square.
 * 2) Observe that it has 10 beads on one side and ten on the other.
 * 3) Write 10 x 10 = 100 on a strip of paper.
 * 4) Because we know this square so well, we are going to perform a small division of the square.
 * 5) The child is asked to count 6 beads along one side.
 * 6) A rubber band is placed after the 6th bead around the square. (The result will be two perpendicular rubber bands.)
 * 7) Directress asks the child: "How many parts has the square been divided into? Let's see how the 4 parts are composed: 6 on one side, 6 on the other, 6x6; 4 by 6 or 4 taken 6 times, 6x4, 4x4. Let's write this down and while writing, we can reconstruct the square with colored bead bars".
 * 8) As each combination is written, the product is recorded, as the appropriate beads are lain out.

6 X 6 = 36 4 X 6 = 24

6 X 4 = 24 4 X 4 = 16

60 + 40= 100

9. Add the products. Push the bead bars together and place the 100 square over it to verify sensorially that the decomposition was done correctly.