3-6 Math Album – Skip Counting

SKIP COUNTING

Purpose: 

To give the child a means of counting other than one by one.
Preparation for multiplication.
Preparation for squaring and cubing.
To show the difference in quantity between the square and the cube of a number and the difference, or relationship, between the squares and the cubes of different numbers.

Materials

A cabinet with a shelf for the squares, the square chains and the cubes of each number and the corresponding tickets.
Hooks for the cube chain of each number.
Four red unit beads: 1, 1 squared, 1 and 1 cubed; red labels marked ‘1’.
Long and short chains of 2 – green: green labels marked 1,2,4 for the square chain; 1, 2, 4, 6, 8 for the cube chain.
Long and short chains of 3 – peach: peach labels marked 1,2,3,6,9 for the square chain; to 27 for the cube chain.
Long and short chains of 4 – yellow: yellow labels marked 1,2,3,4,8 to 16 for the square chain; to 64 for the cube chain.
Long and short chains of 5 – light blue: light blue labels marked 1,2,3,4, 5,10 to 25 for the square chain; to 125 for the cube chain.
Long and short chains of 6 – mauve: mauve labels marked 1,2,3,4,5,6,12 to 36 for the square chain; to 216 for the cube chain.
Long and short chains of 7 – white: white labels marked 1,2,3,4,5,6,7,14 to 49 for the square chain; to 343 for the cube chain.
Long and short chains of 8 – brown: brown labels marked 1,2,3,4,5,6,7,8,16 to 64 for the square chain; to 512 for the cube chain.
Long and short chains of 9 – blue: blue labels marked 1,2,3,4,5,6,7,8,9,18 to 81 for the square chain; to 729 for the cube chain.
Corresponding number of bead squares for each square chain.
A cube of each number.
A felt mat.

Presentation: 

After the 100 and 1000 chains have been counted.
Begin with the square of five chain (short chain).
Proceed in the same manner as the 100 chain but ‘skip-count’ at the end of the exercise.
Note the arrows are the same color as the beads on the chain.

Exercise: 

As in the presentation, the child skip-counts all the square chains at the end of the exercise.

Exercise 2:

Begin with the cube of five chain (long chains).
Proceed in the same manner as the 1000 chain but ‘skip-count’ at the end of the exercise.
Encourage the child to skip-count the other cube chains in the same manner.

Control: 

The labels and the teacher’s guidance.

Age: 

5 – 6 years