Teaching for mastery in primary maths

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Four-digit numbers

• Year group: Year 4
• Term: Autumn
• Topic: Number and place value
• Duration: 2 weeks
• Keystage: KS2
• Age Range: 8 to 9 yrs
• Unit can be taught out of sequence: N
• Week Range: 1 - 2

In this chapter, pupils’ recognition of place value to four-digit numbers (ie, thousands, hundreds, tens and ones) is extended.

As always with work on number and place value, it is important that pupils identify, represent and estimate numbers using different representations. Once again, it is important that concrete and pictorial representations are used throughout.

Pupils learn to round to the nearest 10, 100 or 1,000 and connect estimation and rounding numbers to the use of measuring instruments. In this chapter, pupils are also asked to find 1,000 more or less than a given number in addition to finding 1, 10 and 100 more or less.

Resources for this topic

White Rose Maths

Greater than and less than

This worksheet helps children practice using and understanding vocabulary such as greater than, less than and equal to.

Numerals and words

This resource allows children to practice writing numbers in numerals and words.

Ordering numbers

Ordering numbers with up to 4 digits.

Place Value - 4 digit numbers

This worksheet checks pupils understanding of 4 digit numbers. It is designed to be used more at the end of a sequence of work on place value (4 digit numbers). Pupils should be encouraged to use place value cards and counters to help them understand, reason and explain what they are doing.

The questions start quite fluency based testing students understanding of place value in numbers. They then have to find 10, 100 and 1000 more than given numbers. They then have to order numbers and identify values on a number line.

Compare and order numbers up to 1000

This resource is great if you have been using counters as a concrete model before moving onto pictorial and abstract.

Place value - Up to 4 digits

A selection of place value resources that link directly to concrete materials such as straws, Base Ten and counters. The resources include fluency, reasoning and problem solving questions.

Mathematics Mastery

Four-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.

Four-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 four-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.

Four-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 four-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.

Four-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 4 - Place Value - Week 1 - Roman Numerals, Rounding to 10 and 100

This pack of resources covers Year 4 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:
- Roman Numerals
- Rounding to 10 and 100
- Problem solving

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

Year 4 - Place Value - Week 2 - Counting in 1,000s, 1,000s, 100s, 10s and 1s and Partitioning

This pack of resources covers Year 4 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:
- Counting in 1,000s
- 1,000s, 100s, 10s and 1s
- Partitioning

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

Year 4 - Place Value - Week 3 - 1,000 More or Less, Compare and Order 4-digit Numbers

This pack of resources covers Year 4 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:
- 1,000 more or less
- Compare and order 4-digit numbers
- Number line to 10,000

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

Year 4 - Place Value - Week 4 - Count in 25s, Negative Numbers and Round to the Nearest 1,000

This pack of resources covers Year 4 place value 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:
- Count in 25s
- Negative numbers
- Round to the nearest 1,000

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

Year 4 - Place Value - Week 1-4

This bundle of resources covers Year 4 place value for the first 4 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:
- Roman Numerals
- Rounding to 10 and 100
- Problem solving

Week 2 includes worksheets and activities on:
- Counting in 1,000s
- 1,000s, 100s, 10s and 1s
- Partitioning

Week 3 includes worksheets and activities on:
- 1,000 more or less
- Compare and order 4-digit numbers
- Number line to 10,000

Week 4 includes worksheets and activities on:
- Count in 25s
- Negative numbers
- Round to the nearest 1,000

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

Position of the Digits (Place Value)

A lesson on deepening the understanding of place value for year 7's.

Halloween Maths Murder Mystery KS2!

I found the idea (& some of the pictures) on a resource made for KS3 on TES. I've adapted it to suit children in KS2 and will use it with my Y4 class.The children need to have knowledge of timestables, column methods of addition/ subtraction and negative numbers. They also will need to use problem solving/ reasoning skills.

I've also added some whiteboard slides to support with teaching/ to spark enthusiasm.

All resources are easily editable to suit the needs of different ages/classes.

I will get the children to work in teams to try and solve the murder.

Hope it saves someone some time!

Place Value - 4 digit numbers

This worksheet checks pupils understanding of 4 digit numbers. It is designed to be used more at the end of a sequence of work on place value (4 digit numbers). Pupils should be encouraged to use place value cards and counters to help them understand, reason and explain what they are doing.

The questions start quite fluency based testing students understanding of place value in numbers. They then have to find 10, 100 and 1000 more than given numbers. They then have to order numbers and identify values on a number line.