Year 1 - Maths
Explain how even and odd numbers can be partitioned
Composition of numbers 6 to 10
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will represent numbers 6 - 10 by partitioning in different ways. They will learn what odd and even numbers are and how they can be partitioned. They will identify a missing part when a whole is partitioned into two parts where one of the parts is known.
Lesson Summary
You will learn to explain how even and odd numbers can be partitioned.
Key Notes
- 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.
Vocabulary To Learn
- 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.
Common Mistakes To Avoid
- Children may think that even numbers can only be partitioned into even parts and odd numbers into odd parts.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
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.
2. Use this key word in a maths sentence and explain it clearly. 'Odd'
Any number that cannot be divided exactly by 2 The last digit is 1, 3, 5, 7 or 9. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children may think that even numbers can only be partitioned into even parts and odd numbers into odd parts. Correction: 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.
More Lessons In This Unit
- Compare two numbers and say which is greater than or less than the other Study Guide
- Count a set of objects and match the spoken number to the written numeral and number name Study Guide
- Estimate where 6, 7, 8 and 9 lie on an unmarked number line Study Guide
- Explain what odd and even numbers are and the difference between them Study Guide
- Explain where 6, 7, 8 and 9 lie on a number line Study Guide
- Explore the numbers 6 to 10 using the parts and wholes on a number line Study Guide
- Identify a missing part when a whole is partitioned into two parts Study Guide
- Identify the whole and parts of the numbers 6 to 10 using the five and a bit structure Study Guide
- Order and sort numbers into odd and even sets Study Guide
- Partition the numbers 6 and 7 in different ways Study Guide
- Partition the numbers 6 to 10 in different ways Study Guide
- Partition the numbers 8 and 9 in different ways Study Guide
- Represent the numbers 6 to 10 using a five and a bit structure Study Guide
- Skip count in odds and evens Study Guide
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