New
New
Year 1

Explain how even and odd numbers can be partitioned

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

New
New
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

  1. 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.
  2. When an odd number is partitioned into two parts one part is even and the other part is odd.
  3. 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.

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).

Video

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6 Questions

Q1.
Have the numbers been sorted correctly?
An image in a quiz
Correct answer: Yes
No
Q2.
Which numbers are in the wrong sets?
An image in a quiz
6
7
Correct answer: 8
Correct answer: 9
Q3.
Finish this sentence to make it correct. 7 is …
An image in a quiz
One more than an odd number
Correct answer: One more than an even number
Q4.
Finish this sentence to make it correct. 6 is …
An image in a quiz
Correct answer: One less than an odd number
One less than an even number
Q5.
The missing number at a is .
An image in a quiz
Correct Answer: 7, seven
Q6.
The missing number at b is .
An image in a quiz
Correct Answer: 5, five

6 Questions

Q1.
This shows 5 split into two parts. Tick the parts.
An image in a quiz
Correct answer: 2
Correct answer: 3
4
5
Q2.
This shows 6 split into two parts. Tick the parts.
An image in a quiz
Correct answer: 2
3
Correct answer: 4
6
Q3.
True or false? 5 can be split into two even parts.
An image in a quiz
True
Correct answer: False
Q4.
True or false? 6 can be partitioned into two odd parts.
An image in a quiz
Correct answer: True
False
Q5.
Which pictures show 7?
An image in a quiz
Correct answer: 6 and 1
Correct answer: 4 and 3
5 and 1
Correct answer: 2 and 5
Q6.
Which pictures show 8?
An image in a quiz
6 and 3
Correct answer: 8 and 0
Correct answer: 5 and 3
2 and 5