Explain how even and odd numbers can be partitioned

I can explain how even and odd numbers can be partitioned.

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Year 1

Explain how even and odd numbers can be partitioned

I can explain how even and odd numbers can be partitioned.

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Lesson details

Key learning points

When a number is partitioned into two parts one part can be odd and one part can be even or both parts are odd or even.
When an odd number is partitioned into two parts one part is even and the other part is odd.
When an even number is partitioned into two parts both parts will be odd or both parts will be even.

Common misconception

Children may think that even numbers can only be partitioned into even parts and odd numbers into odd parts.

Ensure children have plenty of practical experience of partitioning representations of numbers in different ways and talk about what they notice. Using number shapes and tens frames can help to visualise the patterns.

Keywords

Odd - Any number that cannot be divided exactly by 2 The last digit is 1, 3, 5, 7 or 9
Even - Any number that can be divided exactly by 2 The last digit is 0, 2, 4, 6 or 8
Partition - To split a whole up into parts.

Use a variety of representations of numbers to partition different numbers. Discuss whether the parts and the whole are even or odd and how they know. Encourage pupils to talk about what they notice when partitioning numbers and look for patterns leading to a generalisation.

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Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).