For whole numbers within 100, an even quantity can be partitioned into equal groups of two with none left over, while an odd quantity leaves exactly one unpaired; zero is even because it forms no incomplete pair. Paired objects, two-row arrays, and repeated addition connect odd and even groupings to multiplication and division by 2; generalized parity rules for larger numbers and symbolic algebra are not included.
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- Learn “Recognize odd and even groupings” with a detailed explanation of the concept
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Detailed Explanation: Recognize odd and even groupings
To tell whether a whole number is odd or even, make groups of 2.
- If every object has a partner, the number is even.
- If exactly one object is left without a partner, the number is odd.
- Zero is even because it makes no incomplete pairs.
Example: Is 13 odd or even?
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Start with 13 objects:
● ● ● ● ● ● ● ● ● ● ● ● ●
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Pair the objects:
(● ●) (● ●) (● ●) (● ●) (● ●) (● ●) ●
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There are 6 complete pairs and 1 object left over.
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Since exactly one object is unpaired, 13 is odd.
We can also show this with division:
, so 13 makes pairs with 1 left over.
Learn by doing: Recognize odd and even groupings
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Practice:
Number Sense - Even or Odd
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Download/Modify Free Grade 2 'Recognize odd and even groupings' Worksheet
Print this free 'Recognize odd and even groupings' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Number Sense - Even or Odd
- Division Foundations - Pictures to Even or Odd
- Division Foundations - Pictures to Groups of 2 (Groups and Remainder)
- Division by a Specific Number
- Counting in Groups - Picture and Count (Specific Image)
Units Teaching This Skill
These adaptive units introduce, teach, or reinforce this skill (Recognize odd and even groupings) through scaffolded problems that grow in difficulty as concepts are understood.