New
New
Explain the effect on the quotient when scaling the dividend and the divisor by 10
I can explain the effect on the quotient when scaling the dividend and the divisor by 10
Lesson 4 of 5
New
New
- Year 6
Explain the effect on the quotient when scaling the dividend and the divisor by 10
I can explain the effect on the quotient when scaling the dividend and the divisor by 10
Lesson details
Key learning points
- 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
Keywords
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 misconception
It's important that pupils avoid saying, 'ten times smaller' to avoid misconceptions around the structure of division.
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.'
Pupils will find bar model representations helpful in understanding this concept. Explore equations where the dividend, divisor or quotient may be missing. Refer to place value when exploring scaling problems, referring to 50 as 5 tens and 500 as 50 tens.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.23 × 10 =
23 × 10 =
Q2.170 ÷ 10 =
170 ÷ 10 =
Q3.Look at the bar model. What is the missing quotient? 160 ÷ 40 =
Look at the bar model. What is the missing quotient? 160 ÷ 40 =
Q4.Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.
Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.
Q5.Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.
Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.
Q6.What is the missing factor in this equation? It is a 2-digit number.
What is the missing factor in this equation? It is a 2-digit number.
Assessment exit quiz
6 Questions
Q1.Match each number in the equation to the correct keyword: 48 ÷ 4 = 12
Match each number in the equation to the correct keyword: 48 ÷ 4 = 12
Q2.Look at the diagram. What is the missing divisor?
Look at the diagram. What is the missing divisor?
Q3.What is the missing number in this equation? 30 ÷ 5 = 300 ÷
What is the missing number in this equation? 30 ÷ 5 = 300 ÷
Q4.What is the missing number in this equation? 48 ÷ 4 = ÷ 40
What is the missing number in this equation? 48 ÷ 4 = ÷ 40
Q5.630 ÷ 90 =
630 ÷ 90 =
Q6.840 ÷ 70 =
840 ÷ 70 =
