Division

Lesson videos on structures of division in terms of grouping and sharing at Key Stage 1; moving into a written algorithm at Key Stage 2 and demonstration of fluency at Key Stage 3

Division with remainders

Unit 12 – 2 weeks

Multiplication and Division | Year 2

National Curriculum resources for Multiplication and Division – Year 2

Multiplication and division

Unit 5 – 4 weeks

Multiplication and Division | Year 1

National Curriculum resources for Multiplication and Division – Year 1

Multiplication and Division | Year 3

National Curriculum resources for Multiplication and Division – Year 3

Multiplication and division – doubling, halving, quotitive and partitive division

Unit 13 – 3 weeks

Introduction to division structures

Unit 6 – 2 weeks

Multiplication and Division | Year 5

National Curriculum resources for Multiplication and Division – Year 5

Multiplication and Division | Year 6

National Curriculum resources for Multiplication and Division – Year 6

Short multiplication and short division

Unit 4 – 6 weeks

Multiplication and Division | Year 4

National Curriculum resources for Multiplication and Division – Year 4

Division with remainders

Spine 2: Multiplication and Division – Topic 2.12

Division: partitioning leading to short division

Spine 2: Multiplication and Division – Topic 2.15

Combining division with addition and subtraction

Spine 2: Multiplication and Division – Topic 2.28

Multiplication and Division

Spine 2 of the Primary Mastery Professional Development Materials

Structures: quotitive and partitive division

Spine 2: Multiplication and Division – Topic 2.6

Division: dividing by two-digit divisors

Spine 2: Multiplication and Division – Topic 2.24

Connecting multiplication and division, and the distributive law

Spine 2: Multiplication and Division – Topic 2.10

Decimal place-value knowledge, multiplication and division

Spine 2: Multiplication and Division – Topic 2.29

Multiplication and Division Primary Mastery PD Materials now available

The first batch of Spine 2: Multiplication and Division mastery professional development materials is now available

Addition and Subtraction | Year 6

National Curriculum resources for Addition and Subtraction – Year 6

Structures: using measures and comparison to understand scaling

Spine 2: Multiplication and Division – Topic 2.17

Fractions | Year 6

National Curriculum resources for Fractions – Year 6

Using compensation to calculate

Spine 2: Multiplication and Division – Topic 2.25

Using equivalence to calculate

Spine 2: Multiplication and Division – Topic 2.18

Times tables: 2, 4 and 8, and the relationship between them

Spine 2: Multiplication and Division – Topic 2.7

Multiplicative contexts: area and perimeter 1

Spine 2: Multiplication and Division – Topic 2.16

Times tables: 3, 6 and 9, and the relationship between them

Spine 2: Multiplication and Division – Topic 2.8

Times tables: 7 and patterns within/across times tables

Spine 2: Multiplication and Division – Topic 2.9

Multiplication with three factors and volume

Spine 2: Multiplication and Division – Topic 2.20

Times tables: 11 and 12

Spine 2: Multiplication and Division – Topic 2.11

Scale factors, ratio and proportional reasoning

Spine 2: Multiplication and Division – Topic 2.27

Number Facts

Lesson videos on number facts for all four operations of addition, subtraction, multiplication and division

Fractions | Year 3

National Curriculum resources for Fractions – Year 3

Fractions

Lesson videos addressing the ability to develop a secure understanding and calculate with fractions

Ratio and Proportion | Year 6

National Curriculum resources for Ratio and Proportion – Year 6

Fractions | Year 4

National Curriculum resources for Fractions – Year 4

Fractions | Year 5

National Curriculum resources for Fractions – Year 5

Times tables: groups of 2 and commutativity (part 1)

Spine 2: Multiplication and Division – Topic 2.3

Combining multiplication with addition and subtraction

Spine 2: Multiplication and Division – Topic 2.22

Multiplication: partitioning leading to short multiplication

Spine 2: Multiplication and Division – Topic 2.14

Multiplicative contexts: area and perimeter 2

Spine 2: Multiplication and Division – Topic 2.30

Times tables: groups of 10 and of 5, and factors of 0 and 1

Spine 2: Multiplication and Division – Topic 2.4

Commutativity (part 2), doubling and halving

Spine 2: Multiplication and Division – Topic 2.5

Calculation: multiplying and dividing by 10 or 100

Spine 2: Multiplication and Division – Topic 2.13

Multiplication strategies for larger numbers and long multiplication

Spine 2: Multiplication and Division – Topic 2.23

Calculation: ×/÷ decimal fractions by whole numbers

Spine 2: Multiplication and Division – Topic 2.19

Structures: multiplication representing equal groups

Spine 2: Multiplication and Division – Topic 2.2

Mean average and equal shares

Spine 2: Multiplication and Division – Topic 2.26

Counting, unitising and coins

Spine 2: Multiplication and Division – Topic 2.1

Factors, multiples, prime numbers and composite numbers

Spine 2: Multiplication and Division – Topic 2.21

Ratio and Proportion and Rates of Change | KS3

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

Area and scaling

Unit 5 – 5 weeks

Order of operations

Unit 12 – 1 week

Reasoning Skills

Developing opportunities and ensuring progression in the development of reasoning skills

Unit fractions

Unit 8 – 5 weeks

Ratio and proportion

Unit 9 – 2 weeks

Measurement | Year 5

National Curriculum resources for Measurement – Year 5

Progression Maps for Key Stages 1 and 2

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

Multiplicative reasoning

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

Perimeter

Unit 3 – 2 weeks

Exemplification of ready-to-progress criteria

79 PowerPoints, each one focusing on one of the ready-to-progress criteria in the new DfE maths guidance for KS1 and KS2

Planning to teach secondary maths

Videos and resources for teaching Key Stage 3 maths topics

Calculating with decimal fractions

Unit 6 – 3 weeks

Understanding and manipulating multiplicative relationships

Unit 6 – 5 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

2, 4, 8 times tables

Unit 6 – 3 weeks

Factors, multiples and primes

Unit 7 – 4 weeks

Mastering Number at KS2

Secure firm foundations in multiplicative relationships

Finding equivalent fractions and simplifying fractions

Spine 3: Fractions – Topic 3.7

The Joy of Cancelling!

An article from our Director, Charlie Stripp

What is unitising, and why is it important?

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

Primary Round-up - May 2022

Our latest Primary Round-up is now available

Primary Round-up - March 2024

Our latest Primary Round-up is now available

Primary Mastery Professional Development

Primary materials that will assist you in your professional development and enable you to deliver teaching for mastery with confidence

Prepare your Year 6 pupils for SATs

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

NCETM Newsletter - February 2019

Our latest NCETM newsletter is now available

Fractions | Year 2

National Curriculum resources for Fractions – Year 2

Six resources for teaching and learning times tables

How do your pupils learn times tables? From digestible research to interesting resources, these ideas will help you reflect

Fractions Primary Mastery PD Materials now available

The first batch of Spine 3: Fractions mastery professional development materials can be downloaded

NCETM primary mastery professional development materials now complete

Specialist Knowledge for Teaching Mathematics - Secondary Teaching Assistants

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

Developing your use of manipulatives in maths teaching

Articles, books and video to help you use physical representations more effectively in lessons

NCETM Newsletter - March 2019

Our latest NCETM newsletter is now available

Teaching mathematics for mastery at secondary school

Three calculations to encourage and support fluency

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

Number | KS3

National Curriculum resources for Number – Key Stage 3

The answer is only the beginning

A look at two of this year’s KS2 SATs questions, analysing the demands made on pupils and the mathematical thinking required

Primary Archive

An archive of all Primary Round-ups and Magazines

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

Statistics | Year 4

National Curriculum resources for Statistics – Year 4

NCETM Newsletter: July 2019

Our latest NCETM newsletter is now available

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

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

The Bar Model

A representation used to expose mathematical structure

Developing a comprehensive maths curriculum

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

Measurement | Year 3

National Curriculum resources for Measurement – Year 3

Fractions | Year 1

National Curriculum resources for Fractions – Year 1

The Five Big Ideas – Coherence

Why is Coherence one of the Five Big Ideas in teaching for mastery? And what does it mean for primary maths teachers?

Six images to help plan primary maths lessons

Six images that might prompt deeper thought when designing maths lessons from Year 1 to Year 6

Why might the word ‘ratio’ cause confusion for students learning trigonometry?

After watching how a Shanghai teacher approaches it, Gwen Tresidder reassesses her own understanding

What have you missed? What’s coming up?

A summary of our publications in 2018/19, and a look ahead to what's coming in 2019/20

Number and Place Value | Year 5

National Curriculum resources for Number and Place Value – Year 5

Using maths storybooks to engage children

Mini ‘stories’ can be an effective way to reveal mathematical structure and are a common feature in some of the best maths textbooks

Shanghai Surprise!

An article from our Director, Charlie Stripp

Algebra | Year 6

National Curriculum resources for Algebra – Year 6

Addition and Subtraction | Year 1

National Curriculum resources for Addition and Subtraction – Year 1

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

NCETM Newsletter - September 2019

Our latest NCETM newsletter is now available

Measurement | Year 4

National Curriculum resources for Measurement – Year 4

A maths book isn't just for Christmas

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

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

Just started teaching maths? What you need to know

Are you a trainee, new to teaching maths or working with teachers early in their careers? Discover resources we have for you

Number and Place Value | Year 4

National Curriculum resources for Number and Place Value – Year 4

TRGs: Collaborative professional development in action

Green shoots of Teacher Research Groups (TRGs) are slowly spreading their fronds of mastery exploration across the country

NCETM primary resources, support and teacher CPD for 2022/23

A guided tour around what’s on offer for new and experienced primary teachers at the start of the new school year. Updated September 2023

'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

Number and Place Value | Year 2

National Curriculum resources for Number and Place Value – Year 2

Secondary Archive

An archive of all Secondary Round-ups and Magazines

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

Algebra | Key Stage 3

National Curriculum resources for Algebra – Key Stage 3

Number and Place Value | Year 3

National Curriculum resources for Number and Place Value – Year 3

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.

Measurement | Year 2

National Curriculum resources for Measurement – Year 2