Year 4 - Maths
Use multiplication facts to answer division questions
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 multiplication facts to solve division problems, including those with remainders.
Key Notes
- Multiplication facts can be used to solve division equations and problems.
- In cases with a remainder, the largest multiple that is less than or equal to the dividend can be used.
- This indicates which multiplication fact should be used to find the number of equal groups.
- When the largest multiple is found, it is subtracted from the dividend to find the remainder.
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 don't know how many equal groups there are.
- Sharing: Sharing is when a whole amount is split into equal parts or groups. We know the total number of objects and the number of parts it is split into, but we don't know how many are in each part.
- 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 choose the multiple that is higher than or closest to the dividend, for example to solve 47 divided by 6, they may choose 8 x 6 = 48 instead of 7 x 6 = 42
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiplication facts can be used to solve division equations and problems. In cases with a remainder, the largest multiple that is less than or equal to the dividend can be used.
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 don't 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 choose the multiple that is higher than or closest to the dividend, for example to solve 47 divided by 6, they may choose 8 x 6 = 48 instead of 7 x 6 = 42. Correction: Choose smaller numbers to demonstrate the concept, using practical equipment and number lines to demonstrate why the number must be equal to or less than the dividend.
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 knowledge of division to solve problems Study Guide
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