Year 2 - Maths
Explain how the quotient is affected when the divisor is equal to the dividend
Doubling, halving, quotative and partitive division
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 double and halve 2-digit numbers. They will explore division as both grouping and sharing and learn to use times table facts to find the quotient for 2x 5x 10x tables.
Lesson Summary
You will learn to explain how the quotient is affected when the divisor is equal to the dividend.
Key Notes
- If the divisor is equal to the dividend, then the quotient will be 1
- Any number divided by itself is equal to 1
Vocabulary To Learn
- Dividend: The dividend is what we are dividing.
- Divisor: The divisor is what we are dividing by.
- Quotient: The quotient is the result after division has taken place.
Common Mistakes To Avoid
- Children are unsure as to why, when the dividend and divisor are equal, the quotient is equal to 1
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If the divisor is equal to the dividend, then the quotient will be 1. Any number divided by itself is equal to 1.
2. Use this key word in a maths sentence and explain it clearly. 'Dividend'
The dividend is what we are dividing. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children are unsure as to why, when the dividend and divisor are equal, the quotient is equal to 1. Correction: Use physical resources e.g. counters or children to represent both sharing and grouping contexts to help children to visualise the idea before applying to abstract equations.
More Lessons In This Unit
- Explain each part of a division equation and know how they can be interchanged Study Guide
- Explain how a dividend of zero affects the quotient Study Guide
- Explain how a division equation with 2 as a divisor is related to halving Study Guide
- Explain how a divisor of one affects the quotient Study Guide
- Explain how times table facts can help to find the quotient (10 times table) Study Guide
- Explain how times table facts can help to find the quotient (2 times table) Study Guide
- Explain how times table facts can help to find the quotient (5 times table) Study Guide
- Explain patterns and relationships between the 5 and 10 times tables Study Guide
- Identify the patterns and relationships between the 5 and 10 times tables Study Guide
- Use knowledge of divisibility rules when the divisor is 10 to solve problems Study Guide
- Use knowledge of divisibility rules when the divisor is 2 to solve problems Study Guide
- Use knowledge of divisibility rules when the divisor is 5 to solve problems Study Guide
- Use knowledge of division strategies to solve problems Study Guide
- Use knowledge of the 5 and 10 times tables to solve problems Study Guide
Browse all guides in the Year 2 Maths guide library.