Year 4 - Maths
Solve division problems involving grouping, including those with remainders
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 solve division problems involving grouping, sometimes with remainders.
Key Notes
- A multiplication equation can be written to solve division problems.
- A division equation can be written to solve division problems.
- The number of equal groups in a number can be found by counting forwards.
- The number of equal groups in a number can be found by counting backwards.
- Counting forwards is usually easier because multiplication facts can be used to help.
Vocabulary To Learn
- Grouping: Grouping is when we divide a number of objects into equal groups. We know the total number of objects and the number of objects in each group, but we do not know how many equal groups there are.
- Division: Division means splitting into equal parts or groups
- Divisor: The divisor is what we are dividing by.
- 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 not understand division as repeated subtraction because they can count forwards to find the number of equal groups in a number.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A multiplication equation can be written to solve division problems. A division equation can be written to solve division problems.
2. Use this key word in a maths sentence and explain it clearly. 'Grouping'
Grouping is when we divide a number of objects into equal groups. We know the total number of objects and the number of objects in each group, but we do not know how many equal groups there are. 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 not understand division as repeated subtraction because they can count forwards to find the number of equal groups in a number. Correction: On a number line, show how counting forwards and backwards in multiples results in the same answer. Discuss the difficulty of using tables facts to count backwards when there is a remainder, so they understand why counting forwards is more efficient.
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 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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