Lesson 10 - Even and Odd Numbers

Even and Odd Numbers

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Even and Odd Numbers

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Our learning goal

I can tell whether a number is odd or even.

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What words come to mind when you hear even and odd numbers?

Use this to surface prior ideas such as pairs, twos, left over, equal, odd, even, counting. Accept everyday language and connect it to the lesson vocabulary.

What happens in pairs?

  • Some numbers can be grouped into twos with no objects left over.

  • Other numbers leave one object on its own.

  • This helps us sort numbers into even and odd.

Use concrete objects such as counters, cubes, or dots if available. Keep the focus on pairing, not on adding or subtracting.

Even numbers make pairs

An even number can be split into pairs.


When you group the objects in twos, none are left.


Examples: 2, 4, 6, 8, 10

Stress the idea of 'no remainder' in child-friendly language: nothing is left on its own.

8 is an even number

  • There are 8 dots.

  • You can make 4 pairs.

  • No dot is left alone.

  • So 8 is even.

Model the pairs clearly: 2+2+2+2. Avoid introducing division language unless the class already knows it.

Odd numbers leave one over

An odd number cannot be split into pairs exactly.


When you group the objects in twos, one object is left.


Examples: 1, 3, 5, 7, 9

Children may say 'one left over' or 'one on its own' β€” accept this and connect it to the word odd.

7 is an odd number

  • There are 7 dots.

  • You can make 3 pairs.

  • 1 dot is left alone.

  • So 7 is odd.

Compare this directly with 8 from the previous slide so pupils notice the one extra object.

Look at the last digit

You can often tell from the last digit.


If a number ends in 0, 2, 4, 6 or 8, it is even.


If a number ends in 1, 3, 5, 7 or 9, it is odd.

This is a quick rule that matches the pairing idea. Link the rule back to objects rather than presenting it as a fact to memorise only.

Even and odd endings

End in:


1, 3, 5, 7, 9

End in:


0, 2, 4, 6, 8

Odd numbers

Even numbers

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Which last digit always means a number is odd?

1

0

2

4

3

7

4

8

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Glossary

even number - a number that can be grouped into pairs with none left over

odd number - a number that leaves one left over when grouped into pairs

pair - a group of two

group in twos - to sort objects into pairs

left over - an object that does not fit into a pair

last digit - the digit at the end of a number

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