# Teaching for mastery in primary maths

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## Two-digit addition and subtraction

• Year group: Year 2
• Term: Autumn
• Topic: Addition and subtraction
• Duration: 2 weeks
• Keystage: KS1
• Age Range: 6 to 7 yrs
• Unit can be taught out of sequence: N
• Week Range: 7 - 8

In this chapter, pupils become increasingly confident with adding and subtracting numbers of increasing size.

Pupils have secured an understanding of addition and subtraction within 100 and can partition three-digit numbers. They start working with two-digit numbers of any size by recalling and using addition, and related subtraction, facts to 20 and deriving and using related facts to 100.

At this stage, pupils do not necessarily move onto formal column methods, although steps can be taken to introduce this. For example, pupils may use place value grids and counters to see how numbers can be partitioned and further explore what it means to add and subtract.

Pupils add and subtract numbers mentally, in addition to using concrete objects and pictorial representations. They add and subtract ones and tens to or from a two-digit number, as well as adding and subtracting two two-digit numbers and adding three one-digit numbers.

Although pupils have already been writing down the family of related addition and subtraction facts, they can now show that addition of two numbers can be done in any order (commutative), but that subtraction of one number from another cannot. They should also recognise the inverse relationship between addition and subtraction and use this to check calculations of increasing size and solve missing number problems.

## Resources for this topic

### White Rose Maths

#### Addition and Subtraction - 2 digit numbers

Addition and Subtraction with 2 digit numbers.

#### Reasoning - Problem Solving - Number and Fraction Problems - 22nd March

Hope you enjoy today's problems.

In KS1 children have to work out the cost of a cheesecake given some information. They then have to work out whether 62 people can fit into some cars and buses.

At KS2 children need to work out the change for a £20 note and then solve a problem to find what the value of tow cards is.

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.

#### Reasoning - Problem Solving - Calculations (KS1) - March 2nd

Two problems involving reasoning with calculations. Can students work out the missing values without having to add up the values. Can they spot the connection?. Every day in March the White Rose Maths Hub is aiming to put out a question of the day in the run up to SATS.

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

### Mathematics Mastery

#### Two-digit addition and subtraction

Mathematical discussion is a key element of the Mathematics Mastery programme.

Talk Tasks are a brilliant way of enabling pupils to develop their mathematical language, thinking, understanding and confidence.

This activity explores the concept of two-digit addition and subtraction.

• Talk tasks are best completed in mixed attainment pairs, with pupils taking turns to listen and construct arguments
• Emphasis is on discussion rather than the solution, encouraging pupils to use key language and talk in full sentences
• Ask pupils to prove their answers in a variety of ways, using the CPA approach to support mathematical understanding and number sense

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.

#### Two-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 two-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.

#### Two-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 two-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.

#### Two-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 two-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.

### Resources shared by teachers

#### Year 2 - Addition and Subtraction - Week 4

This pack of resources covers Year 2 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 in your classroom is recommended to make full use of the packs.

Week 4 includes worksheets and activities on:
- Number bonds to 20
- Fact families
- Checking calculations
- Related facts
-Comparing number sentences

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

#### Year 2 - Addition and Subtraction - Week 5

This pack of resources covers Year 2 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 in your classroom is recommended to make full use of the packs.

Week 5 includes worksheets and activities on:
- Numbers to 20
- Add and subtract 1s
- 10 more, 10 less
- Add and subtract 10s
- Number bonds to 100

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

#### Year 2 - Addition and Subtraction - Week 6

This pack of resources covers Year 2 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 in your classroom is recommended to make full use of the packs.

Week 6 includes worksheets and activities on:
- Adding a 1 digit and 2 digit number
- Subtracting a 1 digit number from a 2 digit number
- Addition of 2 digits - no exchange
- Addition of 2 digits - with and without exchange

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

#### Year 2 - Addition and Subtraction - Week 8

This pack of resources covers Year 2 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 in your classroom is recommended to make full use of the packs.

Week 8 includes worksheets and activities on:
- Subtracting 2 digit numbers
- Problem solving and reasoning with addition and subtraction
- Multiple choice questions highlighting common misconceptions
- An end of unit assessment

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

#### Year 2 - Addition and Subtraction - Week 4 - 8

This bundle of resources covers Year 2 addition and subtraction for weeks 4 to 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 in your classroom is recommended to make full use of the packs.

The bundle contains 5 packs, one for each week. And each pack contains 5 resources, one for each day.

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

#### Subtraction - exchanging

This uses £1 (100's), 10pences (10's) and pennies (units) to show what is being done when exchanging. I called it subtraction by borrowing as that's what most teachers and pupils say. I prefer exchanging, as this is what is actually being done. Borrowing comes from the other method taught in the past, where the borrowed one is paid back.

#### Basic 2-Digit Addition with Base Ten Blocks Worksheet

A basic worksheet that I made to be used when teaching 2-digit addition.