Divide a 2-digit by a 1-digit number using representations with exchanging and remainders
Lesson details
Learning outcome
You can divide a 2-digit by a 1-digit number using representations with exchanging and remainders
Key learning points
- Partitioning the dividend into tens and ones helps when dividing a 2-digit by a 1-digit number.
- If the dividend is not a multiple of the divisor, there will be a remainder.
- If the remainder is a number of tens, you can exchange the tens for ones and continue to divide.
- If the number of ones is not a multiple of the divisor, there will be a remainder as part of the quotient.
Keywords
Remainder - A remainder is an amount left over after division.
Regroup / regrouping - The process of unitising and exchanging between place values is known as regrouping.
Common misconception
Pupils may forget to record the remainder.
Remind children that if the ones are not divisible there will be a remainder and that this is expressed as 'r'.
Teacher tip
When considering a division equation which consists of a quotient with a remainder, ask children if they were ever in a situation where they had to share and there was something left over.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.I can make groups of 3 ones from the dividend 36.
Q2.For the division equation: 32 ÷ 2 You have to regroup 1 ten for ones.
Q3.When dividing 70 by 5, how many 10s will you have to regroup for 1s?
Q4.Look at the image representing 80 ÷ 5 What value goes in the blank space?
Q5.Match the division equations to the correct instances of regrouping.
0 regroup
regroup 1 ten
0 regroup
regroup 2 tens
Q6.Solve the following question: 95 ÷ 5 = Record your calculation using an informal written method.
Assessment exit quiz
6 Questions
Q1.Order the division expressions in ascending order.
Q2.19 cupcakes are shared between 4 children. Choose the correct statement for the representation.
Q3.Match the division equation with the correct amount of regrouping.
0 regroup
regroup 1 ten
regroup 2 tens
regroup 3 tens
Q4.Your divisor is 7. By partitioning the dividend of 57, identify what the remainder will be. Write your answer in numeral form.
Q5.Which division expressions have an answer of 2 r 2?
Q6.Solve the word problem using an informal method: 59 glow sticks are shared equally between 3 classes. How many glowsticks does each class get? Write your answer in numeral form.
To help you plan your 5 maths lesson on: Divide a 2-digit by a 1-digit number using representations with exchanging and remainders, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 5 maths lesson on: Divide a 2-digit by a 1-digit number using representations with exchanging and remainders, 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 Division by partitioning leading to short division (2 and 3-digits by 1-digit) unit, dive into the full primary maths curriculum, or learn more about lesson planning.