Year 4 - Maths
Represent division by grouping with multiplication and addition equations
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 represent and interpret division by grouping where there is a remainder using multiplication and addition.
Key Notes
- Objects can be divided into equal groups, sometimes with a remainder.
- Multiplication facts can be used to solve grouping problems.
- Multiplication and addition can show when a set of objects has been divided into equal groups with a remainder.
Vocabulary To Learn
- Groups: 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.
- Remainder: A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.
- Divided: Division means splitting into equal parts or groups. ___ is divided into groups of ___
Common Mistakes To Avoid
- When writing equations to represent part-part-whole models, children may have difficulty recording the number of groups (as this numeral is not written in the model) and revert to repeated addition.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Objects can be divided into equal groups, sometimes with a remainder. Multiplication facts can be used to solve grouping problems.
2. Use this key word in a maths sentence and explain it clearly. 'Groups'
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: When writing equations to represent part-part-whole models, children may have difficulty recording the number of groups (as this numeral is not written in the model) and revert to repeated addition. Correction: Encourage children to articulate their thinking as they record, e.g. there are ___ groups of ___ and a remainder of ___.
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 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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