Year 5 - Maths
Divide a 2-digit by a 1-digit number using short division (no regrouping )
Division by partitioning leading to short division (2 and 3-digits by 1-digit)
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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 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 can divide a 2-digit by a 1-digit number using short division (no regrouping or remainders).
Key Notes
- Short division helps us to organise division by partitioning.
- The language of unitising helps to explain what is happening in short division.
- There are similarities between the representations of division and short division.
- The partial quotients are recorded above the dividend in the correct place value columns.
Vocabulary To Learn
- Short division: Short division is a formal method of division often used when dividing any number by a one digit number.
- Dividend: The dividend is the amount that you want to divide up.
- Divisor: A divisor is a number that divides the integer exactly (no remainder).
- Quotient: A quotient is the result after division has taken place.
Common Mistakes To Avoid
- Pupils may incorrectly arrange the dividend or divisor and quotient.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Short division helps us to organise division by partitioning. The language of unitising helps to explain what is happening in short division.
2. Use this key word in a maths sentence and explain it clearly. 'Short division'
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 incorrectly arrange the dividend or divisor and quotient. Correction: Clear modelling. Ask children 'What does this number represent?' - 'The dividend and it is placed inside the division frame.'.
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 (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 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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