**Some activities with odd and even numbers **

When children have a conceptual understanding of multiplication as repeated addition or grouping, the multiplication sign can be introduced as meaning ’sets of’.

The children can be given a worksheet with the multiplication facts arranged in table form and asked to fill in as many of the facts as they can from memory. Reference should be made to previous work done by the children, for example patterns on the hundred square. After filling in the multiplication table from memory the children can discuss with the teacher what strategies they used to help them fill in the products they did not know. Initially the most common strategy for working out an unknown fact is counting on from a known fact: for example, 3 x 6 = 18, so 4 x 6 is 18 + another 6. Some children will use skip-counting from memory or count on their fingers.

**Odd totals**

1 + 2 = 3

1 + 4 or 2 + 3 = 5

1 + 6 or 2 + 5 or 3 + 4 = 7

3 + 6 or 4 + 5 = 9

6 + 5 = 11

Number of possibilities: 9

**Even totals**

1 + 1 = 2

1 + 3 or 2 + 2 = 4

1 + 5 or 2 + 4 or 3 + 3 = 6

2 + 6 or 3 + 5 or 4 + 4 = 8

4 + 6 or 5 + 5 = 10

6 + 6 = 12

Number of possibilities: 12.