Decimal fractions

Unit 1 – 5 weeks

Calculating with decimal fractions

Unit 6 – 3 weeks

Linking fractions, decimals and percentages

Spine 3: Fractions – Topic 3.10

1.1 Place value, estimation and rounding

Core concept 1.1 covers the structure of our place-value system (particularly as it relates to decimals) and rounding numbers to a required number of decimal places or significant figures.

Calculation: ×/÷ decimal fractions by whole numbers

Spine 2: Multiplication and Division – Topic 2.19

Upper Key Stage 2 - Linking fractions, decimals and percentages video lessons

Video lessons on linking fractions, decimals and percentages for children in Years 5 and 6

Primary maths curriculum prioritisation materials available

Evaluation documents and a guidance video help schools decide on this year’s curriculum focus

Fractions | Year 4

National Curriculum resources for Fractions – Year 4

A Year 4 lesson on place value with decimal numbers

A lesson from 2015/16 led by Clare Christie, maths subject leader for the Ashley Down Schools Federation in Bristol

Fractions | Year 5

National Curriculum resources for Fractions – Year 5

Fractions | Year 6

National Curriculum resources for Fractions – Year 6

2.1 Arithmetic procedures

Core concept 2.1 offers guidance on developing understanding of the mathematical structures that underpin standard procedures for calculation with decimals, fractions and directed numbers.

1.3 Ordering and comparing

Core concept 1.3 covers the conversion of decimals to fractions (and vice versa), ordering positive and negative integers, fractions and decimals, and the expression of numbers in standard form.

Decimal place-value knowledge, multiplication and division

Spine 2: Multiplication and Division – Topic 2.29

Multiplication and Division | Year 5

National Curriculum resources for Multiplication and Division – Year 5

Number and Place Value | Year 5

National Curriculum resources for Number and Place Value – Year 5

Number | KS3

National Curriculum resources for Number – Key Stage 3

Measurement | Year 6

National Curriculum resources for Measurement – Year 6

Addition and Subtraction | Year 5

National Curriculum resources for Addition and Subtraction – Year 5

Addition and Subtraction | Year 4

National Curriculum resources for Addition and Subtraction – Year 4

Measurement | Year 4

National Curriculum resources for Measurement – Year 4

Addition and Subtraction | Year 6

National Curriculum resources for Addition and Subtraction – Year 6

Fractions | Year 3

National Curriculum resources for Fractions – Year 3

Geometry - properties of shapes | Year 4

National Curriculum resources for Geometry - properties of shapes – Year 4

Five ways to use our Planning to teach videos and resources

Explore ideas for lockdown learning, remote teaching and online CPD

Number and Place Value | Year 4

National Curriculum resources for Number and Place Value – Year 4

Measurement | Year 5

National Curriculum resources for Measurement – Year 5

Multiplication and Division | Year 6

National Curriculum resources for Multiplication and Division – Year 6

Statistics | Year 5

National Curriculum resources for Statistics – Year 5

Geometry - properties of shapes | Year 3

National Curriculum resources for Geometry - properties of shapes – Year 3

What mastery has done for our school

Jenny Laurie, deputy head and maths teacher at a central London secondary school, talks about being one of the very earliest to adopt a teaching for mastery approach in maths

Measurement | Year 3

National Curriculum resources for Measurement – Year 3

Algebra | Key Stage 3

National Curriculum resources for Algebra – Key Stage 3

Fractions

Unit 8 – 7 weeks

Why and how to use the ‘ping pong’ teaching style

Primary Mastery Specialists Faye Glendinning and Sam Shutkever take us through the gritty detail of their episodic lesson planning

Multiplication and Division | Year 3

National Curriculum resources for Multiplication and Division – Year 3

Division: dividing by two-digit divisors

Spine 2: Multiplication and Division – Topic 2.24

Fractions and percentages

Unit 7 – 6 weeks

Planning collaboratively and learning together as a department

How a secondary maths department includes everyone in the planning process and fosters shared learning

Secondary CPD and resources from Maths Hubs and the NCETM summarised

Discover what’s right for you, your department and your colleagues

Number and Place Value | Year 6

National Curriculum resources for Number and Place Value – Year 6

Multiplication and division

Unit 5 – 4 weeks

Converting units

Unit 9 - 2 weeks

Departmental Workshops

Collaborative CPD sessions for maths departments or other groups of secondary teachers

Geometry and Measures | Key Stage 3

National Curriculum resources for Geometry and Measures – Key Stage 3

Using mathematical representations at KS3

Guidance for some of the most useful representations for Key Stage 3 mathematics.

Walford Primary School

An interview with Louise George, headteacher of Walford Primary School

Secondary Mastery Specialists

Two Secondary Mastery Specialists explain the benefits of mastery to them, their departments, and their students

Progression Maps for Key Stages 1 and 2

The progression maps are structured using the topic headings as they appear in the National Curriculum

Spotlight on LLMEs – Primary Mastery Specialist

We discover what it’s like to take part in the Primary Mastery Specialist Programme

All NCETM website Communities to close

Find out about the implications and possible actions you may need to take

Five ways to use number lines in secondary maths

Practical tips from a secondary maths teacher

Composition and calculation: tenths

Spine 1: Number, Addition and Subtraction – Topic 1.23

How one secondary school is using Checkpoints at KS3

We visit a school in Lancashire pioneering their use

Primary Round-up March 2021

Our latest Primary Round-up is now available

Planning to teach secondary maths

Videos and resources for teaching Key Stage 3 maths topics

Statistics | Year 4

National Curriculum resources for Statistics – Year 4

Ten minute read: Q&A with Eugenia Cheng

'Is there a relationship between maths, gender and learning? How might it be characterised?' Dr Eugenia Cheng shares her ideas.

Learning in Lockdown Episode 10 - Hisham Alhassan

A secondary teacher talks about how success with KS5 online lessons has allowed his school to delay Y12 students' return

Teaching through the pandemic 6 – James Cresswell

A secondary teacher discusses how he’s managed the change to teaching all-attainment groups in Key Stage 3

Specialist Knowledge for Teaching Mathematics - Primary Teaching Assistants

Develop mathematical subject knowledge and understand the pedagogy that underpins the teaching of it

NCETM Newsletter - March 2019

Our latest NCETM newsletter is now available

Geometry - properties of shapes | Year 2

National Curriculum resources for Geometry - properties of shapes – Year 2

Training to teach maths with Teach First

Two ECTs share their experiences

Addition and Subtraction | Year 3

National Curriculum resources for Addition and Subtraction – Year 3

Ratio and Proportion | Year 6

National Curriculum resources for Ratio and Proportion – Year 6

Reflections on the Ofsted maths subject report

Charlie Stripp shares his thoughts on ‘Coordinating mathematical success’

Three calculations to encourage and support fluency

Prompts for teachers to draw out mathematical thinking in KS2 or KS3 pupils

Reflections on the 2023 maths examination results

An article from our Director, Charlie Stripp

Checkpoints

Diagnostic maths activities to help teachers develop their assessment of students' prior learning for KS3

Number

Self-audit questions for a teacher to assess confidence in the teaching of number in KS1 and KS2

Prepare your Year 6 pupils for SATs

Ensure Year 6 pupils have the understanding they need to progress by using our handpicked resources

Numberblocks at home

Resources to accompany the CBeebies Numberblocks series, designed for parents to use at home with children

Which KS3 topic are you teaching next?

New videos, PowerPoint slides and guidance documents provide ideas and resources for teaching KS3 topics

The teaching units

The Multiplicative Reasoning teaching units

The Five Big Ideas - Representation and Structure

Discover how to use representation and structure – one of the Five Big Ideas in teaching for mastery – to improve maths teaching

Learning in Lockdown 5 – Nick Edwards

A secondary Director of Maths reflects on how his experience of supporting students through the Grenfell tragedy has informed his current approach to teaching

Sir Robert Woodard Academy

An interview with Kieran Scanlon and Natasha Corrigan, senior leaders from Sir Robert Woodard Academy, Lancing, Sussex

Calculating using knowledge of structures (1)

Unit 1 – 6 weeks

Learning in Lockdown 1 – Kathryn Darwin

A second in department shares her experiences of the new challenges that learning in lockdown has created, and how she and her school are overcoming them

Learning in Lockdown 6 – Craig Tilstone

A Year 6 teacher talks about the difficulty of engagement in remote learning in an area with a low socio-economic profile

Federations and MATs engaging with Maths Hubs

Two examples of multi-academy trusts (MATs) successfully engaging with Maths Hubs and seeing maths performance rise

Developing a comprehensive maths curriculum

Developing a school curriculum for mathematics, scheme of work and calculation policy

Composition and calculation: hundredths and thousandths

Spine 1: Number, Addition and Subtraction – Topic 1.24

Taking on the role of maths lead in a primary school

Ten tips for newcomers to the position

Using the NCETM Curriculum Prioritisation materials

A maths lead tells his school's story

Outstanding schools, Ofsted and mastery

Find out how three schools deliver maths through teaching for mastery, and why Ofsted liked what they saw

'They can see it straight away': the impact of Mastering Number

Successful implementation of Mastering Number has brought huge benefits to pupils in a mixed-age class

Making an impact with Core Maths

We find out why one of the country’s largest post-16 colleges has introduced Core Maths

NCETM Newsletter - June 2020

Learning in lockdown: support for teaching and learning from the NCETM, including new primary video lessons, plus support available from elsewhere, and more

Secondary Archive

An archive of all Secondary Round-ups and Magazines

If it’s Friday, it must be GCSE re-sit

An article from our Director, Charlie Stripp

Why we employed a primary teacher for maths in our secondary school

How one school employed a primary teacher to help introduce mastery

A Tale of Two Schools

We visit two very different primary schools, and learn about their reasons for choosing teaching for mastery and its impact

Fractions

Self-audit questions for a teacher to assess confidence in the teaching of fractions in KS1 and KS2

Why mastery makes us optimistic about our next GCSE results

Article by Jenny Laurie, Deputy Head at The St Marylebone CE School, London

What is unitising, and why is it important?

This article follows the concept of unitising through Years 1-6, also demonstrating effective curriculum sequencing

Trusts working with Maths Hubs

Understand how MATs can work in partnership with Maths Hubs

Numberblocks – Series 1

Series 1, all episodes

Statistics | Year 3

National Curriculum resources for Statistics – Year 3

Primary Archive

An archive of all Primary Round-ups and Magazines

Using Checkpoints in the Year 7 classroom

We talk to a Year 7 teacher and one of the authors of our newest secondary classroom resource

Maths education: the present, the future, and how to get there

An article from our Director, Charlie Stripp

Using calculators in Years 6 and 7

When should Year 6 and 7 teachers get the calculators out? And how might they use them?

Multiplying by 10 – is it OK to just put a zero?

Find out what our Professional Development Materials say about how children should be taught to multiply by 10

Algebra | Year 6

National Curriculum resources for Algebra – Year 6

‘Not working in ability groups has been a revelation’

Eight GCSE maths questions that surprised exam boards

What makes a good (or bad) GCSE question?

Understanding students’ mathematical wrong turns

What two secondary teachers learnt from carefully listening to students’ responses to mathematical prompts

Teaching maths in the pandemic

How our podcast guests have been adapting their teaching to get round Covid restrictions

What maths shall we do with Year 6 this term?

We’ve gathered suggestions about preparing pupils for transition in this disrupted year

Learning fractions shouldn’t be difficult

How a well-sequenced curriculum can unlock understanding for all children

Teaching maths in a real-life context

Teachers discuss the joys, the challenges and good resources

A maths book isn't just for Christmas

Six maths books out in 2019 that might help you enhance your teaching

How are schools determining maths grades this year?

We ask around a few schools and MATs

Maths to age 18, why everyone should welcome it, and what we can do to help make it happen

An article from our Director, Charlie Stripp

Smoothing the KS2 to KS3 maths transition

Find out how one school harnessed the mastery approach used in its feeder schools to support new Year 7 students

An Introduction to the Five Big Ideas at Secondary

In an introduction to our series on the Five Big Ideas at secondary, we explore the principles that underpin teaching for mastery

Sense of measure – capacity, volume, mass

Unit 14 – 2 weeks

Top tips for teaching GCSE resit

Useful pointers from teachers in a Maths Hub GCSE resit Work Group

Whole-school approach to learning times tables

How groups of primary schools have been introducing a twin-track approach to times-tables learning

Lessons from this summer's maths exam results

How secondary schools can continue to recover from the downward trends caused by the pandemic

Spotlight on LLMEs – Early Years SKTM

Hear from a Cohort Lead on the Early Years Specialist Knowledge for Teaching Mathematics Programme

Ratio and Proportion and Rates of Change | KS3

National Curriculum resources for Ratio and Proportion and Rates of Change – KS3

An effective model for collaborative planning in maths

At Southfields Academy collaborative planning sessions have led to improved lesson quality, reduced planning time, and better staff retention

Multiplication and Division | Year 4

National Curriculum resources for Multiplication and Division – Year 4

Multiplication and Division | Year 2

National Curriculum resources for Multiplication and Division – Year 2

How a mastery approach is helping EAL pupils

Embracing teaching for mastery has enabled EAL pupils to engage fully in maths lessons, says headteacher

‘Exploding Checkpoints’ – co-planning a KS3 curriculum

Discover how the maths department at one Cornwall school went back to the drawing board to develop a new KS3 curriculum

The Five Big Ideas at Secondary – Fluency

Why is fluency one of the Five Big Ideas in Teaching for Mastery? And what does it mean for secondary maths teachers?

Leading the change: a headteacher’s journey with teaching for mastery

What happens when a school fully embraces Maths Hubs professional development?

Teacher collaboration supports mixed-attainment classes

A London school models one possible way to make the transition

Geometry - position and direction | Year 1

National Curriculum resources for Geometry - position and direction – Year 1

Maths, Mindsets and Mastery

An article from our Director, Charlie Stripp

Shape and Space

Understanding what happens when shapes move, or combine with other shapes, helps develop wider mathematical thinking

Aligning curriculum and assessment reform with teaching for mastery in secondary maths (part 1)

Charlie Stripp and Carol Knights suggest ways in which the curriculum and assessment of secondary mathematics might be improved

The importance of Core Maths and the support available

An article from our Director, Charlie Stripp

Teaching telling the time: a non-standard approach

After two decades of teaching ‘telling the time’, Kristen Weiss discovers a way to help children better understand the complexities

How variation has changed my teaching

Article by Jayne Webster, who teaches maths at Denbigh School in Milton Keynes

Guest blog post by a Secondary School Head of Maths

An article by Hande Kiamil, Head of Maths at Mill Hill County High School, in the London Borough of Barnet

Research and innovation in the Maths Hubs Network

How smaller CPD projects refine, innovate and improve the Maths Hubs Programme and give teachers an opportunity to pursue special interests

Planning and sequencing for curriculum prioritisation

A maths lead explains how our resource has given her teachers an easy route into the mastery materials as well as excellent pedagogical development

Exploring comparison in Early Years

What is comparison? And how can we help children develop a secure understanding of this mathematical concept?

Spotlight on LLMEs – Research and Innovation Work Groups (RIWGs)

Hear from the co-leads of the RIWG for Oracy

United Learning: a model for trusts working with Maths Hubs

How one trust has paved the way for its schools to benefit from the Maths Hubs Programme

‘Taking the ceiling off learning’ with Mastering Number

Building number sense and fluency in Reception and Key Stage 1

Bridging the gap: ensuring that all students can succeed in KS3 maths

How one North East secondary school is 'Securing Foundations at Year 7', with a new Maths Hubs project aimed at supporting all students to thrive in the maths classroom

Curriculum prioritisation in primary maths

A term-by-term framework to support planning and teaching

Number and Place Value | Year 2

National Curriculum resources for Number and Place Value – Year 2

Number and Place Value | Year 3

National Curriculum resources for Number and Place Value – Year 3

Fractions | Year 2

National Curriculum resources for Fractions – Year 2

Improving maths in multi-academy trusts by engaging with Maths Hubs

A profile of two multi-academy trusts (MATs) reaping the rewards of participation in Maths Hubs teaching for mastery work

Aligning curriculum and assessment reform with teaching for mastery in secondary maths (part 2)

Charlie Stripp and Carol Knights continue their two-part discussion with a focus on how secondary maths assessment could be improved

Pattern

Looking for and finding patterns helps children notice and understand mathematical relationships

Improving children’s confidence in maths starts with parents

What one primary teacher has done to improve children's confidence by engaging parents in learning maths

Mixed age planning and teaching for mastery

A Work Group looks at ways to manage maths curriculum objectives with two or more year groups in one class

How maths textbooks are making a comeback

Two primary schools explain how they use textbook schemes to support teaching for mastery

Make sense of the Curriculum Prioritisation materials

Ever wondered where to begin with the Primary CP materials? This step-by-step guide will take you from website download to classroom activity

Aligning curriculum and assessment reform with teaching for mastery in FE GCSE Resit/FSQ Maths

Charlie Stripp and Emma Bell explore how curriculum and assessment reform could transform the maths experience of post-16 learners

Why Mastery Readiness isn't just 'mastery-lite'!

The Mastery Readiness Programme enables schools to put in place structures, systems and positive mathematical culture so they can successfully engage in teaching for mastery

Using a high quality textbook to support teaching for mastery

We visit the classroom of Hannah Gray, a primary teacher involved in trialling new Singapore-style textbooks, designed to support a mastery approach

How can teaching for mastery work in a mixed age class?

A group of schools in Northamptonshire have been addressing this issue, with encouraging results

How can we meet the needs of all pupils without differentiation of lesson content? How can we record progress without levels?

An article from our Director, Charlie Stripp

Probability and Statistics | Key Stage 3

National Curriculum resources for Probability and Statistics – Key Stage 3

Measurement | Year 2

National Curriculum resources for Measurement – Year 2

Maths CPD chat

#mathscpdchat, previously managed by the NCETM