Subtract from a 3-digit number using column subtraction with regrouping
Lesson details
Learning outcome
I can subtract from a 3-digit number using column subtraction with regrouping.
Key learning points
- Start with the numbers with the smallest place value first.
- Regroup when the ones or tens digit of the subtrahend is greater than the ones or tens digit of the minuend.
- If the tens digit of the minuend is a zero, a hundred is regrouped before a ten is regrouped.
Keywords
Column subtraction - Column subtraction is a way of subtracting numbers by writing a number below another.
Regrouping - The process of unitising and exchanging between place values is known as regrouping.
Common misconception
Pupils may struggle to regroup in the ones and tens when the tens digit is zero.
Explain that pupils may need to regroup from the hundreds first, and then regroup in the ones. They still need to start with the numbers with the smallest place value. When crossing out, pupils need to cross out the '10' tens and replace with 9
Teacher tip
Pupils will need to have some familiarity with subtracting from 2-digit numbers, including regrouping in the ones. Pupils may need more experience of regrouping with base ten blocks or other manipulatives before moving onto the column subtraction algorithm.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A ten has been regrouped into 10 ones. What number is represented by the base ten blocks?
Q2.In which of these calculations would you need to regroup?
Q3.Calculate the difference.
Q4.What is the missing subtrahend?
Q5.Calculate the difference.
Q6.What is the missing subtrahend?
Assessment exit quiz
6 Questions
Q1.Where is regrouping needed in the column subtraction?
Q2.Where is regrouping needed in the column subtraction?
Q3.Finish the column subtraction. What is the difference?
Q4.Finish the column subtraction. What is the difference?
Q5.What is the difference?
Q6.What is the difference?
To help you plan your 3 maths lesson on: Subtract from a 3-digit number using column subtraction with regrouping, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 3 maths lesson on: Subtract from a 3-digit number using column subtraction 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 Column subtraction unit, dive into the full primary maths curriculum, or learn more about lesson planning.