Year 6 - Maths
Explain the effect on the quotient when scaling the dividend and the divisor by 10
Using equivalence to calculate
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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 explain why the product stays the same when one factor is doubled and the other is halved using knowledge of equivalence. They will explain the effect on the quotient when scaling the dividend and divisor by the same amount.
Lesson Summary
You will learn to explain the effect on the quotient when scaling the dividend and the divisor by 10.
Key Notes
- If the dividend and divisor are both scaled by 10, the quotient will remain the same.
- Place value and unitising help to explain the effect on the quotient when scaling the dividend and divisor by 10
- If 6 divided by 3 is equal to 2 then 6 tens divided by 3 tens is equal to 2
Vocabulary To Learn
- Dividend: The dividend is the amount that you want to divide.
- Divisor: A divisor is the number we divide by.
- Quotient: A quotient is the result after division has taken place. It is the whole number part.
Common Mistakes To Avoid
- It's important that pupils avoid saying, 'ten times smaller' to avoid misconceptions around the structure of division.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If the dividend and divisor are both scaled by 10, the quotient will remain the same. Place value and unitising help to explain the effect on the quotient when scaling the dividend and divisor by 10.
2. Use this key word in a maths sentence and explain it clearly. 'Dividend'
The dividend is the amount that you want to divide. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: It's important that pupils avoid saying, 'ten times smaller' to avoid misconceptions around the structure of division. Correction: Describe relationships by saying, 'divide by ten', or referring to the amounts involved e.g. 'The dividend is seven hundred. It is divided by ten. The dividend is now seventy.'.
More Lessons In This Unit
- Explain the effect on the product when scaling the factors up and down by the same amount Study Guide
- Explain the effect on the quotient when scaling the dividend and the divisor by the same amount Study Guide
- Explain why the product stays the same when one factor is doubled and the other is halved Study Guide
- Use knowledge of equivalence when scaling factors to solve problems Study Guide
Browse all guides in the Year 6 Maths guide library.