Year 5 - Maths
Use efficient division strategies to solve problems
Division by partitioning leading to short division (2 and 3-digits by 1-digit)
Study Hub
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 use a range of strategies to solve division problems.
Key Notes
- Look at the dividend and divisor to decide which strategy is most effective and explain why.
- Use partitioning if the dividend can be partitioned into multiples of the divisor.
- Use short division if the dividend cannot be partitioned into multiples of the divisor.
Vocabulary To Learn
- Short division: Is a formal method of division often used when dividing any number by a one digit number.
- Partition: Partition means splitting a number into smaller parts.
Common Mistakes To Avoid
- Pupils may always choose short division to solve division equations.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Look at the dividend and divisor to decide which strategy is most effective and explain why. Use partitioning if the dividend can be partitioned into multiples of the divisor.
2. Use this key word in a maths sentence and explain it clearly. 'Short division'
Is a formal method of division often used when dividing any number by a one digit number. 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 always choose short division to solve division equations. Correction: Encourage pupils to think about other strategies that they know. Ask questions such as 'Is this the most efficient method?'.
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
- Solve problems involving multiplication and division in a range of contexts Study Guide
- Use short division when the hundreds digit is smaller than the divisor Study Guide
Browse all guides in the Year 5 Maths guide library.