Year 6 - Maths
Solve problems involving remainders in context
Multiplying and dividing by 2-digit numbers
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Study Guides
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 extend their understanding of formal calculation strategies to multiply and divide by 2-digit numbers, explaining when other strategies are more efficient.
Lesson Summary
You will learn to solve a problem, making appropriate use of the remainder.
Key Notes
- The remainder can be rounded up or down, depending on context.
- Some problems require the remainder being given as a fraction or a decimal.
Vocabulary To Learn
- Long division: Long division is a method used for dividing large numbers by breaking the number down into smaller groups.
- Remainder: A remainder is an amount left after a division.
Common Mistakes To Avoid
- Pupils do not consider the context when identifying what to do with the remainder.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The remainder can be rounded up or down, depending on context. Some problems require the remainder being given as a fraction or a decimal.
2. Use this key word in a maths sentence and explain it clearly. 'Long division'
Long division is a method used for dividing large numbers by breaking the number down into smaller groups. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils do not consider the context when identifying what to do with the remainder. Correction: Pupils often respond well to ridiculous examples here such as suggesting some of the class are left behind on a school trip in order to have equal-sized teams. These more extreme examples help consideration of context.
More Lessons In This Unit
- Dividing by a 2-digit divisor including using long division Study Guide
- Dividing by a 2-digit divisor with a remainder Study Guide
- Dividing numbers with up to 4 digits by multiples of 10 Study Guide
- Explain how to multiply a 3-digit number by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply a 3-digit by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply a 4-digit by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens Study Guide
- Explain how to use long multiplication to multiply two 2-digit numbers with regrouping Study Guide
- Explain how to use the associative law to multiply efficiently Study Guide
- Explain when it is efficient to use factorising or long multiplication to multiply by 2-digits Study Guide
- Solve problems with 4-digit dividends using factors and long division Study Guide
- Use long division with decimal remainders Study Guide
- Use long division with fraction remainders Study Guide
- Using short and long division to divide by a 2-digit divisor Study Guide
Browse all guides in the Year 6 Maths guide library.