Digital
roots provide some good opportunities for finding patterns. They also reinforce
the children's knowledge of their multiplication tables, and can be used
to create some visual patterns.
A
worksheet with full instructions can be found here. This involves the children
working out the digital roots of the numbers in each of the multipication
tables, starting with the one times table, and progressing to the twelve
times table.
The
following table shows the digital roots of each of the multipication sums.
The lines have been coloured to make patterns easier to find (lines with
the same colour have the same pattern, e.g. one times table and the 10
times table).
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
| 1 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
| 2 |
2 |
4 |
6 |
8 |
1 |
3 |
5 |
7 |
9 |
2 |
4 |
6 |
| 3 |
3 |
6 |
9 |
3 |
6 |
9 |
3 |
6 |
9 |
3 |
6 |
9 |
| 4 |
4 |
8 |
3 |
7 |
2 |
6 |
1 |
5 |
9 |
4 |
8 |
3 |
| 5 |
5 |
1 |
6 |
2 |
7 |
3 |
8 |
4 |
9 |
5 |
1 |
6 |
| 6 |
6 |
3 |
9 |
6 |
3 |
9 |
6 |
3 |
9 |
6 |
3 |
9 |
| 7 |
7 |
5 |
3 |
1 |
8 |
6 |
4 |
2 |
9 |
7 |
5 |
6 |
| 8 |
8 |
7 |
6 |
5 |
4 |
3 |
2 |
1 |
9 |
8 |
7 |
6 |
| 9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
9 |
| 10 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
| 11 |
2 |
4 |
6 |
8 |
1 |
3 |
5 |
7 |
9 |
2 |
4 |
6 |
| 12 |
3 |
6 |
9 |
3 |
6 |
9 |
3 |
6 |
9 |
3 |
6 |
9 |
When
the children have found these patterns, they can use them to draw some
visual patterns.
Click here to find out how.
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