Year 4 - Maths
Decide what to do with the answer to a division calculation to solve a problem
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 decide what to do with the answer to a division calculation to solve a problem.
Key Notes
- When solving division problems, sometimes the remainder is recorded as the number left over.
- When solving division problems, sometimes the remainder can be ignored.
- When solving division problems, sometimes an extra group is made to include the remainder.
Vocabulary To Learn
- Quotient: The quotient is the result after the division has taken place.
- 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 have difficulty interpreting the problem and be unsure whether to ignore or include the remainder in the answer.
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 the remainder is recorded as the number left over. When solving division problems, sometimes the remainder can be ignored.
2. Use this key word in a maths sentence and explain it clearly. 'Quotient'
The quotient is the result after the division has taken place. 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 have difficulty interpreting the problem and be unsure whether to ignore or include the remainder in the answer. Correction: Throughout, ask and encourage children to articulate what each part of the equation represents from the problem in order to link the concrete and the abstract representation.
More Lessons In This Unit
- 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 knowledge of division to solve problems Study Guide
- Use multiplication facts to answer division questions Study Guide
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