New
New
Year 6

Explain the effect on the quotient when scaling the dividend and the divisor by the same amount

I can explain the effect on the quotient when scaling the dividend and the divisor by the same amount.

New
New
Year 6

Explain the effect on the quotient when scaling the dividend and the divisor by the same amount

I can explain the effect on the quotient when scaling the dividend and the divisor by the same amount.

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Lesson details

Key learning points

  1. If the dividend and divisor are both scaled by the same amount, the quotient will remain the same.
  2. Unitising helps to explain the effect on the quotient when scaling the dividend and divisor by the same amount.
  3. If 6 divided by 3 is equal to 2 then 6 twos divided by 3 twos 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

Be aware of pupils describing scaling using division as 'making three times smaller'. This language can cause misconceptions around the nature of division and should be avoided.

Encourage pupils to describe relationships using division by a whole number (divided by 3) or through the use of fractional language (one-third the size).

This lesson focuses on scaling amounts by 2, 3, 4, 5 or 6, though it's important that pupils generalise this to other numbers too (multiplying both the dividend and divisor by 8 or 12, for example). It's also important to draw pupil's attention to how this can be a useful strategy in calculation.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), 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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6 Questions

Q1.
Match each number in the equation to the correct keyword: 63 ÷ 7 = 9
Correct Answer:63,dividend

dividend

Correct Answer:7,divisor

divisor

Correct Answer:9,quotient

quotient

Q2.
Look at the diagram. What is the missing divisor?
An image in a quiz
Correct Answer: 120
Q3.
What is the missing number in this equation? 24 ÷ 6 = 240 ÷
Correct Answer: 60
Q4.
What is the missing number in this equation? 60 ÷ 12 = ÷ 120
Correct Answer: 600
Q5.
320 ÷ 80 =
Correct Answer: 4
Q6.
1,080 ÷ 90 =
Correct Answer: 12

6 Questions

Q1.
Match each number in the equation to the correct keyword: 240 ÷ 60 = 4
Correct Answer:240,dividend

dividend

Correct Answer:60,divisor

divisor

Correct Answer:4,quotient

quotient

Q2.
What is the missing dividend in the second equation shown here?
An image in a quiz
Correct Answer: 320
Q3.
What is the missing number in this equation? 220 ÷ 20 = 660 ÷
Correct Answer: 60
Q4.
What is the missing number in this equation? 175 ÷ 25 = ÷ 100
Correct Answer: 700
Q5.
Which expressions are equivalent to 480 ÷ 96?
Correct answer: 240 ÷ 48
180 ÷ 38
Correct answer: 160 ÷ 32
Correct answer: 120 ÷ 24
80 ÷ 15
Q6.
Use scaling to help you calculate 306 ÷ 9 =
Correct Answer: 34