Divide a 2-digit by a 1-digit number using partitioning (with regrouping)
Lesson details
Learning outcome
I can divide a 2-digit by a 1-digit number using partitioning and representations (with regrouping).
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 regroup the tens for ones and continue to divide.
Keywords
Remainder - An amount left over after division.
Partition / partitioning - Splitting a number into smaller parts.
Regroup / regrouping - The process of unitising and exchanging between place values.
Common misconception
Pupils not being able to regroup when dividing.
Use concrete resources to highlight regrouping of tens. Ask children 'What is the highest multiple you know?' to support with partitioning.
Teacher tip
Draw special attention to the '10s' digit and ask children if that is a multiple of the divisor. Children are to understand the generalisation '10s' digit in the dividend is not a multiple of the divisor, they will have to regroup.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Look at the image. 63 is the ________ because it is the number we are dividing up.
Q2.Andeep is working out: 56 ÷ 7. He can skip count in ___.
Q3.Look at the image. Fill in the gap in the partial quotients.
Q4.Select the correct partial quotients for this division equation: 96 ÷ 3 Use the part whole model to help you.
Q5.Look at the part whole models. Which is the least helpful way to partition 42 when dividing by 2?
Q6.An equilateral triangle has a total perimeter of 69 cm. What is the length of one side? cm
Assessment exit quiz
6 Questions
Q1.33 ÷ 3 = 11 In this equation, 33 is the __________ because it is the number we are dividing into groups.
Q2.I can make ___ groups of 6 ones from the dividend 54.
Q3.Look at the picture. Izzy is calculating 42 ÷ 3. What should Izzy do next?
Q4.Fill in the blank in the image which shows 90 ÷ 5. Write your answer in numeral form.
Q5.Match the division equations to the correct instances of regrouping.
0 regroup
0 regroup
regroup 1 ten
regroup 2 tens
Q6.Solve the following question: 92 ÷ 4. Record your calculation using an informal written method. 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 partitioning (with regrouping), 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 partitioning (with regrouping), 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.