Teaching for mastery in primary maths

Year 6
Year 1
Year 2
Year 3
Year 4
Year 5
Year 6
Autumn
Autumn
Spring
Summer
All Topics

Positive integers

• Year group: Year 6
• Term: Autumn
• Topic: Number and place value
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 10 to 11 yrs
• Unit can be taught out of sequence: N
• Week Range: 1

In this final chapter, pupils work with any sized numbers in a variety of contexts. This is a chance for them to explore real-life situations and solve practical problems within authentic contexts.

Pupils will have solved plenty of real-life problems in previous chapters, but as many very large numbers appear in science and nature, opportunity can now be sought to explore these larger numbers across the curriculum.

All of the work in this chapter reinforces the concepts from previous ones. For example, pupils should still be able to determine the place value of each digit within a number, compare and order numbers, as well as finding 10, 100 and 1,000 more or less than a given number.

Resources for this topic

White Rose Maths

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 - problems

These problem cards on place value are sure to get your children thinking. This set are integers only.

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

Positive integers

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 ordering and comparing 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.

Positive integers

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 positive integers

• 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.

Resources shared by teachers

Year 6 - Place Value - Week 1 - Numbers to 10,000,000 & Compare and Order

This is pack 1 of 2 on Year 6 place value and covers the small steps Numbers to 10,000,000 and Compare and Order any Number.  The resources aim to help children gain a deeper understanding of the concepts covered in the first week.  Numbers are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives such as place value counters and Base 10.

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 6 - Place Value - Week 2 - Round any Number and Negative Numbers

This is pack 2 of 2 on Year 6 place value and covers the small steps Round any Number and Negative Numbers.  The resources aim to help children gain a deeper understanding of the concepts covered in the first week.  Numbers are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives such as place value counters and Base 10.

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 6 - Place Value - Weeks 1 - 2

Two weeks worth of resources on place value.

This bundle contains all three packs on Year 6 Place Value 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.

Place Invaders comic style place value worksheet

Comic style worksheet on place value of integers and decimals.

True, False, Sometimes

Use the statements on the powerpoint to stimulate mathematical discussion. Encourage children to prove or disprove the statements with a variety of examples e.g. 'to x 10, add a 0 enables exploration of addition, place value, decimals etc. Differentiated worksheets could be used to continue work, for homework, etc

Rounding Investigation

A real-life scenario based activity requiring rounding up to hundreds, tens and one dp. Also includes literacy elements. Comments appreciated.