# Teaching for mastery in primary maths

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## Addition and subtraction within 20

• Year group: Year 1
• Term: Spring
• Topic: Addition and subtraction
• Duration: 4 weeks
• Keystage: KS1
• Age Range: 5 to 6 yrs
• Unit can be taught out of sequence: N
• Week Range: 1 - 4

In this chapter, pupils extend their learning from the previous chapter, and from the relevant chapter on number and place value, by working with numbers within 20. They represent numbers using a variety of concrete and pictorial representations.

Pupils continue to read, write and interpret mathematical statements involving addition (+), subtraction (-) and the equals sign (=). They secure their understanding of the concepts of addition and subtraction and use concrete objects and simple part-whole diagrams to add and subtract one and two-digit numbers (including 0) within 20.

As such, pupils become increasingly confident in writing the related calculation statements, showing the connection between addition and subtraction. They start to use these calculations to check their answers.

Throughout this chapter, pupils explore how numbers within 20 can be partitioned and, as such, are able to represent and use number bonds of any number up to 20. They see the connection to number facts within 10.

Using concrete objects, pictorial representations and their knowledge of addition and subtraction, pupils solve simple one-step and missing number problems.

## Resources for this topic

### White Rose Maths

#### Complements to Ten

These resources are great to follow on from work with a Ten Frame. They look at fact families within 10

#### Add 1 digit numbers

This worksheet uses part-whole models to help children to deepen their understanding of addition.

#### Reasoning - Problem Solving - Number (KS1) and Fractions (KS2) - March 4th

Today's problems are ones that involve multiplication in KS1 and fractions in KS2.

In the KS1 problem students have to find the values that a symbol represents and in the second question has to find four different ways of writing the same calculation.

At KS2 the questions are on fractions..

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.

### Mathematics Mastery

#### Addition and subtraction within 20

Enabling pupils to develop their mathematical reasoning skills through independent work is a key element of the Mathematics Mastery programme.

This activity explores the concept of addition and subtraction within 20.

• Pupils should complete these tasks using concrete manipulatives as part of the CPA approach
• Pupils should be encouraged to explain their working in full sentences
• These tasks may be adapted with pupils working in pairs to encourage mathematical discussion

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.

#### Addition and subtraction within 20

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 addition and subtraction with 20

• 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.

#### Addition and subtraction within 20

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 addition and subtraction within 20

• 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.

#### Addition and subtraction within 20

Deepening pupils’ understanding of key mathematical ideas is a core element of the Mathematics Mastery programme.

Our Key Constructs highlight the essential mathematical concepts all pupils are expected to grasp within each year group, with accompanying guidance for assessing pupil progress.

Our Key Constructs are closely aligned to the National Curriculum’s objectives. We know these can be tricky to evidence, so we’ve included an example task for each concept, as well as ideas to support slower-graspers and depth tasks to challenge higher-attaining pupils.

• Pupils should work through the tasks independently
• Teachers should incorporate the CPA approach to support pupils’ learning
• Opportunities for depth and scaffolding are built into each task

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 1 - Spring - Week 1 - Addition and Subtraction

This is pack 1 of 4 on the second block of year 1 addition and subtraction and covers the small steps:

- Add by counting on
- Find & make number bonds

The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 1 - Spring - Week 2 - Addition and Subtraction

This is pack 2 of 4 on the second block of year 1 addition and subtraction and covers the small steps:

- Add by making 10
- Subtraction - not crossing 10

The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 1 - Spring - Week 3 - Addition and Subtraction

This is pack 3 of 4 on the second block of year 1 addition and subtraction and covers the small steps:

- Subtraction - Crossing 10 (1)
- Subtraction - Crossing 10 (2)

The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 1 - Spring - Week 4 - Addition and Subtraction

This is pack 4 of 4 on the second block of year 1 addition and subtraction and covers the small steps:

- Related Facts
- Compare Number Sentences

The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 1 - Spring - Weeks 1-4 - Addition and Subtraction

Four weeks worth of resources on spring addition and subtraction.

This bundle contains all four packs on Year 1 Addition and Subtraction for the spring term and covers all small steps within this topic. The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful

#### Revision lesson on counting to 20

A series of practical activities to support children in learning to count up to 20.

#### Number bonds and sums to 20, lesson 1

This is the first lesson in a series on number bonds, sums and operations to 20. It uses actions such as hand clapping , mental and practical problems to aid the children in learning numbers up to 20.

#### Loop Number Bonds to 20

Good Starter Activity