Odd and even

A number is even if its objects pair off with none left over, and odd if one is left standing alone. Line the dots up two by two and you can see it: 2, 4, 6, 8 and 10 make complete pairs, while 1, 3, 5, 7 and 9 always leave one on its own.

Odd and even — free printable reference chart

Reference chart

Odd and even

Even

2
4
6
8
10

Odd

1
3
5
7
9

Pair the dots two by two. If they all pair off the number is even; if one is left over, with no partner, it is odd.

Math PicnicFree printable math charts · mathpicnic.com

What's on this chart

Even and odd is the first thing a child can decide about a number, and pairing is how. Set the objects out in twos: if every one has a partner the number is even, and if a single one is left with no partner it is odd. This chart draws exactly that, with the leftover dot marked apart, so the rule is something to see rather than a fact to take on trust.

Why this chart helps

Doing it by pairs matters, because it is the honest way to explain even and odd to a child who has not met multiplication yet. There is no need to know “divisible by two” or to count in twos — only to notice whether anyone is left over. The counting comes first, the pairing shows the answer, and the words even and odd are just names for the two things that can happen.