Year 4 - Maths
Use knowledge of division to solve problems
Division with remainders
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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 interpret a division story with a remainder representing it with an equation. They will explain how the remainder relates to the divisor.
Lesson Summary
You will learn to use knowledge of division to solve problems.
Key Notes
- When solving division problems, sometimes a remainder is recorded as the number left over.
- When solving division problems, sometimes a remainder can be ignored.
- When solving division problems, sometimes an extra group is made to include the remainder.
- The question asked in the problem shows whether we should ignore or include the remainder.
Vocabulary To Learn
- Remainder: A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.
Common Mistakes To Avoid
- Children may struggle to visualise how the remainder relates to the question asked in the problem, or may solve the equation without relating back to the question asked.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When solving division problems, sometimes a remainder is recorded as the number left over. When solving division problems, sometimes a remainder can be ignored.
2. Use this key word in a maths sentence and explain it clearly. 'Remainder'
A remainder is the amount left over after division when the dividend does not divide exactly by the divisor. 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 struggle to visualise how the remainder relates to the question asked in the problem, or may solve the equation without relating back to the question asked. Correction: Encourage them to write the division equation for the problem and say what each part represents, focusing particularly on the role of the remainder and how it relates to the question asked.
More Lessons In This Unit
- Decide what to do with the answer to a division calculation to solve a problem Study Guide
- Explain how the remainder relates to the divisor in a division equation Study Guide
- Identify when there will be a remainder Study Guide
- Represent division by grouping with multiplication and addition equations Study Guide
- Represent division by sharing with equations Study Guide
- Solve division problems involving grouping, including those with remainders Study Guide
- Solve division problems involving sharing, including those with remainders Study Guide
- Use knowledge of division equations and remainders to solve problems Study Guide
- Use multiplication facts to answer division questions Study Guide
Browse all guides in the Year 4 Maths guide library.