Explain how making the dividend 10 times the size affects the quotient
Lesson details
Learning outcome
I can explain how making the dividend 10 times the size affects the quotient
Key learning points
- If the dividend is multiplied by 10 then the quotient will be ten times the size.
- The dividend is equivalent to the product in the inverse calculation.
- 18 divided by 6 is equal to 3 so 180 divided by 6 is equal to 30 or 18 tens divided by 6 is equal to 3 tens.
Keywords
Dividend - The dividend is the number being divided.
Divisor - The divisor is the number we are dividing by.
Quotient - The quotient is the result after division has taken place. It is a whole number.
Common misconception
Place value counters don't have proportionality in the same way that Base 10 does which can make the concepts here more abstract.
Smaller divisions can be used with Base 10 to model scaling to start off with. Try 2 ÷ 2 or 4 ÷ 2 scaling up to become 20 ÷ 2 or 40 ÷ 2 with Base 10 and then put this modelling side-by-side with place value counters to make the links.
Teacher tip
Times table knowledge is very useful in this lesson. If you've pupils whose times table knowledge is less secure, give them a times tables grid to use so that they can focus on the key learning in the lesson. You could also plan to use examples involving times tables with which they are familiar.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which of the numbers in the following equation is the dividend? 18 ÷ 6 = 3
Q2.Which of these is the inverse of multiplying by five?
Q3.Which of the numbers in the following equation is the quotient? 18 ÷ 6 = 3
Q4.What is the missing factor in this equation? × 7 = 21
Q5.Match these times table with their related division facts.
35 ÷ 5 = 7
24 ÷ 12 = 2
15 ÷ 5 = 3
24 ÷ 3 = 8
Q6.True or false? To multiply a whole number by 10 you place a zero after the final digit of that number.
Assessment exit quiz
6 Questions
Q1.True or false? If the dividend is made 10 times the size the quotient will be 10 times the size.
Q2.Match the times tables facts to the related division facts with a dividend and quotient 10 times the size.
450 ÷ 9 = 50
200 ÷ 5 = 40
150 ÷ 5 = 30
120 ÷ 3 = 40
Q3.840 ÷ 12 =
Q4.240 ÷ 4 =
Q5.A tennis club needs to buy 480 tennis balls. Tennis balls come in packs of 6 How many packs should they buy? packs
Q6.The school council raises £540 for 9 classes to spend on their class library. If the money is shared equally between classes, how much do they each get? £
To help you plan your 4 maths lesson on: Explain how making the dividend 10 times the size affects the quotient, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Explain how making the dividend 10 times the size affects the quotient, 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 Understand what happens when a number is multiplied or divided by 10 and 100 unit, dive into the full primary maths curriculum, or learn more about lesson planning.