Explain the effect on the quotient when scaling the dividend and the divisor by 10
Lesson details
Learning outcome
I can explain the effect on the quotient when scaling the dividend and the divisor by 10
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.'
Teacher tip
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.
Licence
Lesson video
Loading...
Prior knowledge starter quiz
6 Questions
Q1.23 × 10 =
Q2.170 ÷ 10 =
Q3.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.
Q5.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.
Assessment exit quiz
6 Questions
Q1.Match each number in the equation to the correct keyword: 48 ÷ 4 = 12
dividend
divisor
quotient
Q2.Look at the diagram. What is the missing divisor?
Q3.What is the missing number in this equation? 30 ÷ 5 = 300 ÷
Q4.What is the missing number in this equation? 48 ÷ 4 = ÷ 40
Q5.630 ÷ 90 =
Q6.840 ÷ 70 =
To help you plan your 6 maths lesson on: Explain the effect on the quotient when scaling the dividend and the divisor by 10, 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 10, 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.