Year 4 - Maths
Compose and decompose mixed numbers
Composition of fractions greater than one
Study Hub
Study Guides
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 compose and decompose quantities made of whole numbers and fractional parts.
Lesson Summary
You will learn to compose and decompose mixed numbers to solve addition and subtraction calculations.
Key Notes
- Mixed numbers are quantities that are made up of a whole number part and a fractional part.
- Addition and subtraction calculations represent how mixed numbers can be composed or decomposed.
- Knowing how mixed numbers are composed, supports us to solve addition and subtraction calculations.
Vocabulary To Learn
- Mixed number: A mixed number is a whole number and a fraction combined into one "mixed" number. For example: one and a half is a mixed number.
Common Mistakes To Avoid
- Children may be confused about how to write mixed numbers. Children may say 'five and one-eight, rather than five and one-eighth.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Mixed numbers are quantities that are made up of a whole number part and a fractional part. Addition and subtraction calculations represent how mixed numbers can be composed or decomposed.
2. Use this key word in a maths sentence and explain it clearly. 'Mixed number'
A mixed number is a whole number and a fraction combined into one "mixed" number. For example: one and a half is a mixed number. 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 be confused about how to write mixed numbers. Children may say 'five and one-eight, rather than five and one-eighth. Correction: As a school, establish how mixed numbers will be recorded so that you have consistency. Ensure children are accurately expressing the fraction part.
More Lessons In This Unit
Browse all guides in the Year 4 Maths guide library.