Explain the effect on the quotient when scaling the dividend and the divisor by the same amount
Lesson details
Learning outcome
I can explain the effect on the quotient when scaling the dividend and the divisor by the same amount.
Key learning points
- If the dividend and divisor are both scaled by the same amount, the quotient will remain the same.
- Unitising helps to explain the effect on the quotient when scaling the dividend and divisor by the same amount.
- 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).
Teacher tip
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.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match each number in the equation to the correct keyword: 63 ÷ 7 = 9
dividend
divisor
quotient
Q2.Look at the diagram. What is the missing divisor?
Q3.What is the missing number in this equation? 24 ÷ 6 = 240 ÷
Q4.What is the missing number in this equation? 60 ÷ 12 = ÷ 120
Q5.320 ÷ 80 =
Q6.1,080 ÷ 90 =
Assessment exit quiz
6 Questions
Q1.Match each number in the equation to the correct keyword: 240 ÷ 60 = 4
dividend
divisor
quotient
Q2.What is the missing dividend in the second equation shown here?
Q3.What is the missing number in this equation? 220 ÷ 20 = 660 ÷
Q4.What is the missing number in this equation? 175 ÷ 25 = ÷ 100
Q5.Which expressions are equivalent to 480 ÷ 96?
Q6.Use scaling to help you calculate 306 ÷ 9 =
To help you plan your 6 maths lesson on: Explain the effect on the quotient when scaling the dividend and the divisor by the same amount, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Explain the effect on the quotient when scaling the dividend and the divisor by the same amount, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Using equivalence to calculate unit, dive into the full primary maths curriculum, or learn more about lesson planning.