White Rose Maths Hub scheme of work

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Three-digit addition and subtraction

  • Year group: Year 3
  • Term: Autumn
  • Topic: Addition and subtraction
  • Duration: 5 weeks
  • Keystage: KS2
  • Age Range: 7 to 8 yrs
  • Unit can be taught out of sequence: N
  • Week Range: 4 - 8

In this chapter, pupils start to use formal column methods for addition and subtraction, using approaches introduced in previous chapters.

These approaches may, for example, include the use of place value grids and counters to understand the concept of addition and subtraction and the language associated with it. They should be linked explicitly to each step of the formal methods.

Once formal methods have been introduced, they can easily become the go-to method pupils use to solve any addition or subtraction problem. However, they are not always the most efficient. Often simple mental methods are more appropriate and pupils should be encouraged to identify the best option.

Pupils mentally add and subtract ones, tens and hundreds to or from a three-digit number. They also begin to solve increasingly complex problems with more than one step, using their knowledge of number facts, place value and addition and subtraction. They estimate the answer to a problem and make use of inverse calculations to check it.

 Download all addition and subtraction chapters as a PDF 

Resources for this topic

White Rose Maths

Addition and subtraction - 3 digits

A variety of questions to help children demonstrate their understanding of addition and subtraction.
By WRMaths

Reasoning - Problem Solving - Money Problems (KS1/2) - March 8th

Today's problems are ones that involve reasoning and problem solving with the numbers. There are two problems for KS1 and two for KS2.

In KS1 problem children have to use a number line to work out the size of the interval and then locate a particular number. Children then have to work out the highest and lowest numbers you can make given three digit cards. Version 2 of the Y2 problems has a slightly less demanding problem Q1 that might be good as a warm up.

At KS2 children also need to find intervals on a number line, but the problem is a little more involved.. The second problem should be tacked systematically.

Every day in March the White Rose Maths Hub is aiming to put out a question of the day.

Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize.
By WRMaths

Mathematics Mastery

Three-digit addition and subtraction

Select ‘View more’ for an accompanying video.

Enabling teachers to continuously develop their practice is a key element of the Mathematics Mastery Programme.

This CPD video provides step-by-step guidance on three-digit addition and subtraction.

Our videos aim to:

• Model teaching tips, techniques and clarify how to make connections between concrete, pictorial and abstract representations
• Support the teaching of different methods and concepts, rather than focusing on one method only
• Enhance subject knowledge and support non-specialists

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

By Mathematics Mastery

Three-digit addition and subtraction

Encouraging pupils to calculate flexibly is a key element of the Mathematics Mastery programme.

This practical teaching guide helps you develop your pupils to apply their number sense when problem-solving and make connections between calculation strategies.

This guide exemplifies a teaching approach for three-digit addition and subtraction

• The CPA approach should be incorporated to support pupils in making connections between calculation strategies
• Teachers can use this guidance to encourage flexible mathematical thinking

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and or join an information session.
By Mathematics Mastery

Three-digit addition and subtraction

Select ‘View more’ for an accompanying video.

Enabling teachers to continuously develop their practice is a key element of the Mathematics Mastery Programme.

This CPD video provides step-by-step guidance on three-digit addition and subtraction.

Our videos aim to:

• Model teaching tips, techniques and clarify how to make connections between concrete, pictorial and abstract representations
• Support the teaching of different methods and concepts, rather than focusing on one method only
• Enhance subject knowledge and support non-specialists

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

By Mathematics Mastery

Three-digit addition and subtraction

Encouraging pupils to calculate flexibly is a key element of the Mathematics Mastery programme.

This practical teaching guide helps you develop your pupils to apply their number sense when problem-solving and make connections between calculation strategies.

This guide exemplifies a teaching approach for three-digit addition and subtraction.

• The CPA approach should be incorporated to support pupils in making connections between calculation strategies
• Teachers can use this guidance to encourage flexible mathematical thinking

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and or join an information session.
By Mathematics Mastery

Resources shared by teachers

Year 3 - Addition and Subtraction - Weeks 4- 8

This pack of resources covers Year 3 addition and subtraction for week 4 – 8 of the autumn term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources (place value counters and base 10) in your classroom is recommended to make full use of the packs. There are also many opportunities to reason and problem solve throughout.
This bundle includes worksheets and activities on:
-Adding and subtracting multiples of 100
- Addition and subtraction 3-digit numbers and ones
-Adding and subtracting 3-digit numbers and tens
- Addition and subtraction of 100s
-Pattern spotting when adding ones, tens and hundreds
-Adding and subtracting 2-digit numbers to 3-digit numbers (without exchange)
-Adding and subtracting 2-digit numbers to 3-digit numbers (with exchange)
-Adding and subtracting 3-digit numbers to 3-digit numbers (without exchange)
-Adding and subtracting 3-digit numbers to 3-digit numbers (with exchange)

I hope you find the resources useful. Feedback very welcome.
By JCBrennan

Year 3 - Addition and Subtraction - Week 4

This pack of resources covers Year 3 addition and subtraction for the 4th week of the autumn term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources (place value counters and base 10) in your classroom is recommended to make full use of the packs. There are also many opportunities to reason and problem solve throughout.

Week 4 includes worksheets and activities on:
-Adding and subtracting multiples of 100
- Addition and subtraction not crossing 10
- Addition crossing 10

I hope you find the resources useful. Feedback very welcome.
By JCBrennan

Year 3 - Addition and Subtraction - Week 5

This pack of resources covers Year 3 addition and subtraction for the 5th week of the autumn term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources (place value counters and base 10) in your classroom is recommended to make full use of the packs. There are also many opportunities to reason and problem solve throughout.

Week 5 includes worksheets and activities on:
-What’s the same? What’s different? Looking at exchanging when we add and when we subtract
-Subtracting ones from a 3 digit number
-Adding and subtracting 3-digit numbers and 10s

I hope you find the resources useful. Feedback very welcome.
By JCBrennan

Year 3 - Addition and Subtraction - Week 6

This pack of resources covers Year 3 addition and subtraction for the 6th week of the autumn term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources (place value counters and base 10) in your classroom is recommended to make full use of the packs. There are also many opportunities to reason and problem solve throughout.

Week 6 includes worksheets and activities on:
- Addition and subtraction crossing 100
- Addition and subtraction of 100s
-Pattern spotting when adding ones, tens and hundreds

I hope you find the resources useful. Feedback very welcome.
By JCBrennan

Year 3 - Addition and Subtraction - Week 7

This pack of resources covers Year 3 addition and subtraction for the 7th week of the autumn term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources (place value counters and base 10) in your classroom is recommended to make full use of the packs. There are also many opportunities to reason and problem solve throughout.

Week 7 includes worksheets and activities on:
-Adding and subtracting 2-digit numbers to 3-digit numbers (without exchange)
-Adding and subtracting 2-digit numbers to 3-digit numbers (with exchange)

I hope you find the resources useful. Feedback very welcome.
By JCBrennan

Year 3 - Addition and Subtraction - Week 8

This pack of resources covers Year 3 addition and subtraction for the 8th week of the autumn term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources (place value counters and base 10) in your classroom is recommended to make full use of the packs. There are also many opportunities to reason and problem solve throughout.

Week 8 includes worksheets and activities on:
-Adding and subtracting 3-digit numbers to 3-digit numbers (without exchange)
-Adding and subtracting 3-digit numbers to 3-digit numbers (with exchange)

I hope you find the resources useful. Feedback very welcome.
By JCBrennan

Missing number problems column addition and subtraction.

Column additions and subtractions with missing number. All three digit numbers.
No answers though!
By RachHolmes

Maths place value and addition from pirates

Two practical ideas using treasure to deepen understanding. Recognise the place value of each digit in a three digit number.
Add and subtract numbers with up to three digits, using the formal written methods of columnar addition and subtraction.
The hook into learning comes from the picture book 'The Man Whose Mother was a Pirate' by Margaret Mahy.
By lizhopkins

Missing Numbers Column Addition

Missing Numbers Column Addition used in year 5 - two versions for differentiation.
By Rachdf