Explain how even and odd numbers can be partitioned | Maths

Starter quiz

Have the numbers been sorted correctly?
- Yes ✓
- No
Which numbers are in the wrong sets?
- 6
- 7
- 8 ✓
- 9 ✓
Finish this sentence to make it correct. 7 is …
- One more than an odd number
- One more than an even number ✓
Finish this sentence to make it correct. 6 is …
- One less than an odd number ✓
- One less than an even number
The missing number at a is ______.
- '7' ✓
The missing number at b is ______.
- '5' ✓

Exit quiz

This shows 5 split into two parts. Tick the parts.
- 2 ✓
- 3 ✓
- 4
- 5
This shows 6 split into two parts. Tick the parts.
- 2 ✓
- 3
- 4 ✓
- 6
True or false? 5 can be split into two even parts.
- True
- False ✓
True or false? 6 can be partitioned into two odd parts.
- True ✓
- False
Which pictures show 7?
- 6 and 1 ✓
- 4 and 3 ✓
- 5 and 1
- 2 and 5 ✓
Which pictures show 8?
- 6 and 3
- 8 and 0 ✓
- 5 and 3 ✓
- 2 and 5

Worksheet

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Presentation

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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.