# Teaching for mastery in primary maths

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## Two-digit numbers

• Year group: Year 2
• Term: Autumn
• Topic: Number and place value
• Duration: 3 weeks
• Keystage: KS1
• Age Range: 6 to 7 yrs
• Unit can be taught out of sequence: N
• Week Range: 1 - 3

In this chapter, pupils recognise the place value of each digit in a two-digit number (ie, in tens and ones) and begin to understand zero as a place holder.

This occurs through frequent opportunities to identify, represent and estimate numbers to 100 using different representations, including the number line.

Pupils partition numbers in different ways (eg, 23 = 20 + 3 and 23 = 10 + 13). They show this using part-whole diagrams or using Dienes, counters, cubes or place value grids to support their understanding.

Much of the mathematical content of this chapter involves deepening pupils’ understanding of concepts encountered previously. This might be through the introduction of a greater variety of representations (either pupils moving interchangeably between or selecting their own representations), practising for greater fluency and independence with language and asking and answering increasingly sophisticated mathematical questions.

This chapter also sees the introduction of inequality notation, as pupils compare and order numbers from 0 up to 100 using <, > and = signs.

## Resources for this topic

### White Rose Maths

#### Place Value

This worksheet support concrete learning with Straws, Base 10 and counters

#### Place Value - Two digit numbers

This resource will help children understand the place value of 2 digit numbers.

#### 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.

Fluency, reasoning and problem solving questions for adding 2 digit numbers.

### Mathematics Mastery

#### Two-digit numbers

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 numbers.

• 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 numbers

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 2 - Place Value - Week 1 - Count & Represent Numbers to 100, Tens & Ones, Place Value Chart

This pack of resources covers Year 2 place value for the first 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 1 includes worksheets and activities on:
- Numbers to 100
- Tens and ones
- Place Value charts

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

#### Year 2 - Place Value - Week 2 - Comparing & Ordering Numbers and Counting in 2s, 3s, 5s and 10s

This pack of resources covers Year 2 place value for the 2nd 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 2 includes worksheets and activities on:
- Comparing and ordering numbers
- Counting in 2s, 5s and 10s
- Counting in 3s

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

#### Year 2 - Place Value - Week 3 - A mixture of Place Value Problems and Activities

This pack of resources covers Year 2 place value for the 3rd 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 3 includes worksheets and activities on:
- Reasoning and problem solving with place value
- Consolidation activities

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

#### Year 2 - Place Value - Weeks 1-3

This bundle of resources covers Year 2 place value for the first 3 weeks 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 3 packs, one for each week. And each pack contains 5 resources, one for each day.

Week 1 includes worksheets and activities on:
- Numbers to 100
- Tens and ones
- Place Value charts

Week 2 includes worksheets and activities on:
- Comparing and ordering numbers
- Counting in 2s, 5s and 10s
- Counting in 3s

Week 3 includes worksheets and activities on:
- Problem solving
- Consolidation activities

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

#### Tens & units worksheet

A worksheet inspired by a great book called ‘One is a Snail, Ten is a Crab by Avril Sayre. A lovely way to introduce tens & units or partitioning.

#### Place Value in the King's Counting House

Powerpoint presentation and differentiated sheets for teaching place value. Aimed at Y3 class.

Other topics covered: Numbers

#### Place value powerpoints

Place value powerpoints concerning partitioning numbers, arrow cards, abacus and dienes.