Year 5 - Maths
Solve problems involving multiplication and division in a range of contexts
Division by partitioning leading to short division (2 and 3-digits by 1-digit)
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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 divide a 2-digit and a 3-digit number by a single-digit number using partitioning and representations and divide a 2-digit number by a single-digit number by using short division.
Lesson Summary
You will learn to solve multiplication and division problems in a range of contexts.
Key Notes
- Look at the numbers in the problem to decide which strategy is most effective and explain why.
- Use partitioning strategies if the numbers are related by times tables.
- Use short multiplication or division if the numbers are not related by times tables.
Vocabulary To Learn
- Operation: Operation is a mathematical process.
- Inverse: Inverse means the opposite in effect. The reverse of.
Common Mistakes To Avoid
- Pupils may not be able to identify whether a question is a 1-step or 2-step problem.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Look at the numbers in the problem to decide which strategy is most effective and explain why. Use partitioning strategies if the numbers are related by times tables.
2. Use this key word in a maths sentence and explain it clearly. 'Operation'
Operation is a mathematical process. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may not be able to identify whether a question is a 1-step or 2-step problem. Correction: Read and highlight key words which identify the operation. Highlight the numbers which will lead to the calculation.
More Lessons In This Unit
- Divide a 2-digit by a 1-digit number using partitioning (with regrouping) Study Guide
- Divide a 2-digit by a 1-digit number using partitioning and representations (no remainders) Study Guide
- Divide a 2-digit by a 1-digit number using representations with exchanging and remainders Study Guide
- Divide a 2-digit by a 1-digit number using short division (no regrouping ) Study Guide
- Divide a 2-digit by a 1-digit number using short division (with regrouping) Study Guide
- Divide a 2-digit number using short division (with regrouping and remainders) Study Guide
- Divide a 3-digit by a 1-digit number using partitioning and representations (no remainders) Study Guide
- Divide a 3-digit by a 1-digit number using short division Study Guide
- Divide a 3-digit number using partitioning and representations (one regroup) Study Guide
- Divide using partitioning and representations (multiple regroups and remainder) Study Guide
- Divide using short division with regrouping and remainders Study Guide
- Solve problems involving multiplication and division Study Guide
- Use efficient division strategies to solve problems Study Guide
- Use short division when the hundreds digit is smaller than the divisor Study Guide
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