Year 5 - Maths
Solve problems involving multiplication and division
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 will learn to use a range of strategies to solve multiplication and division problems.
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
- Multiplication: The basic idea of multiplication is repeated addition.
- Division: Division is splitting into equal parts or groups. It is the result of "fair sharing".
- Inverse: Inverse means the opposite in effect. The reverse of.
Common Mistakes To Avoid
- Pupils may not be able to identify the key words leading to the operation.
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. 'Multiplication'
The basic idea of multiplication is repeated addition. 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 the key words leading to the operation. Correction: Highlight the keyword and read back the question highlighting the context of the word problem. Words such as 'of' will need exemplifying.
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 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
Browse all guides in the Year 5 Maths guide library.