
How to use this section
In addition to the materials above, we also have plenty of resources to help you plan and deliver great lessons, and to assess your pupils’ knowledge and understanding. To find what you need, you can filter the resources by phase, including many right down to the year group you teach. You can also filter by resource type, and choose the right kind of resource to help with your maths teaching.
Educational Phase
Resource Type
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
- KS1
- KS2
- Primary
- Covid Recovery
Insights from experienced teachers
Pairs of teachers explore small sections of the mastery materials in depth
- KS3
- Secondary
- Mastery PD Materials
Primary ITE professional development materials
Six professional development units designed for ITE tutors to use with primary trainee teachers exploring maths
- Primary
- Mastery PD Materials
Adapting maths teaching for the Covid-19 period
Guidance for secondary schools – updated November 2020
- KS3
- KS4
- Secondary
- Covid Recovery
- Guidance
Training materials for DfE Mathematics guidance
A ready-to-use PowerPoint designed for whole school development, and videos to introduce the guidance
- KS1
- KS2
- Primary
- Covid Recovery
Shaping the Year 7 curriculum: building on Year 6
Ready-to-use training materials, ideal for use in planning effective curriculum transition from primary
- KS3
- Secondary
- Covid Recovery
Resources for teachers using the mastery materials
Supplementary content to support use of the secondary mastery PD materials
- KS3
- Secondary
- Mastery PD Materials
Mathematical Prompts for Deeper Thinking videos
Videos showing a teacher working with small groups of students from her Year 8 class
- KS3
- Secondary
- Mastery PD Materials
- Classroom Videos
Planning to teach secondary maths
Videos and resources for teaching Key Stage 3 maths topics
- KS3
- Secondary
- Mastery PD Materials
Primary Assessment Materials
Questions, tasks and activities supporting teaching for mastery.
- KS1
- KS2
- Primary
- Year 1
- Year 2
- Year 3
- Year 4
- Year 5
- Year 6
- Assessment Materials
Progression Maps for Key Stages 1 and 2
The progression maps are structured using the topic headings as they appear in the National Curriculum
- KS1
- KS2
- Primary
- Progression Maps
The structure of the number system
Theme 1 comprises four interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.
- KS3
- Secondary
- Mastery PD Materials
Operating on number
Theme 2 comprises two interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.
- KS3
- Secondary
- Mastery PD Materials
Multiplicative reasoning
Theme 3 comprises two interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.
- KS3
- Secondary
- Mastery PD Materials
Sequences and graphs
Theme 4 comprises two interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.
- KS3
- Secondary
- Mastery PD Materials
Statistics and probability
Theme 5 comprises three interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.
- KS3
- Secondary
- Mastery PD Materials
Geometry
Theme 6 comprises four interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.
- KS3
- Secondary
- Mastery PD Materials
Using mathematical representations at KS3
Guidance for some of the most useful representations for Key Stage 3 mathematics.
- KS3
- Secondary
- Mastery PD Materials
Departmental Workshops
Collaborative CPD sessions for maths departments or other groups of secondary teachers
- KS3
- Secondary
Secondary Assessment Materials
Materials to support you and your colleagues in assessing students at KS3
- KS3
- Secondary
- Assessment Materials
Marking Guidance
Guidance documents to enable effective marking and feedback
- Primary
- Secondary
- Guidance
Secondary ITE professional development materials
Six professional development units designed for ITE tutors to use with secondary trainee maths teachers
- Secondary
- Mastery PD Materials
Progression Maps for Key Stage 3
The progression maps are structured using the topic headings as they appear in the National Curriculum
- KS3
- Secondary
- Progression Maps
Numberblocks Support Materials
Materials to support Early Years and Year 1 teachers
- Early Years
- Early Years Materials
Research study modules
Ten study modules enabling you to access, understand and engage with academic research articles
- Post-16
- Secondary
Multiplicative Reasoning – all downloads
Links to all the downloadable folders and files in the Multiplicative Reasoning section
- Secondary
School sees better results through teaching for mastery
Embracing teaching for mastery in maths has seen pupils’ love for the subject contribute to some exceptional end of year outcomes for all year groups
- KS1
- KS2
- Primary
- Case Study
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
- KS1
- KS2
- Primary
- Case Study
Don’t abandon counters just because it’s secondary school
At Trinity Academy in Halifax all teachers are now using place value counters with students across the ability range
- Secondary
- Case Study
Teaching for mastery at secondary: is it compatible with putting students in sets?
A visit to two lessons at Tomlinscote School in Frimley, Surrey
- Secondary
- Case Study
Video material to support the implementation of the National Curriculum
- KS1
- KS2
- Primary
- Classroom Videos
Multiplication
Lesson videos on elements of progression in multiplication across the primary school
- KS1
- KS2
- Primary
- Classroom Videos
Subtraction
Lesson videos on elements of progression in subtraction in Key Stage 2
- KS2
- Primary
- Classroom Videos
Number Facts
Lesson videos on number facts for all four operations of addition, subtraction, multiplication and division
- KS1
- KS2
- Primary
- Classroom Videos
Number and Place Value
Lesson videos on children developing understanding and fluency with number
- KS1
- KS2
- Primary
- Classroom Videos
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
- KS1
- KS2
- KS3
- Primary
- Classroom Videos
Fractions
Lesson videos addressing the ability to develop a secure understanding and calculate with fractions
- KS1
- KS2
- KS3
- Primary
- Classroom Videos
Algebra
Lesson videos addressing the demands of the New Curriculum to introduce formal algebra into KS2
- KS1
- KS2
- KS3
- Primary
- Classroom Videos
Multiplicative Reasoning
Lesson videos on representations in terms of the bar model and double number line are used to support reasoning and problem solving
- KS1
- KS2
- KS3
- Primary
- Classroom Videos
Reasoning Skills
Developing opportunities and ensuring progression in the development of reasoning skills
- KS1
- KS2
- Primary
- Progression Maps
Gap tasks: maximising the impact of Work Groups
We visit Gorse Hill Primary School Work Group in Swindon, and find out how gap tasks are driving powerful changes in pedagogy
- KS1
- KS2
- Primary
- Case Study
A Year 1 lesson on difference as a form of subtraction
A lesson from 2015/16 led by Clare Christie, maths subject leader for the Ashley Down Schools Federation in Bristol
- KS1
- Primary
- Year 1
- Classroom Videos
A Year 3 lesson on multiplication
A set of video clips from 2014/15 centred on one lesson, focusing on the 6-times-table
- KS2
- Primary
- Year 3
- Classroom Videos
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
- KS2
- Primary
- Year 4
- Classroom Videos
A Year 6 lesson on comparing fractions
Comparing the value of fractions with the same denominators
- KS2
- Primary
- Year 6
- Classroom Videos
A Year 6 lesson on line graphs
A lesson from 2015/16 led by James Berry, subject leader and deputy head at Chesterton Primary School in Wandsworth
- KS2
- Primary
- Year 6
- Classroom Videos
Year 2 Shanghai showcase lesson
Ms Lynn, part of the the England–China exchange, leads a Year 2 lesson at Tubbenden Primary School
- KS2
- Primary
- Year 5
- Classroom Videos
Year 5 Shanghai showcase lesson
Ms Dai, part of the the England–China exchange, leads a Year 5 lesson at Tubbenden Primary School
- KS2
- Primary
- Year 5
- Classroom Videos
Comparison of quantities and measures
Spine 1: Number, Addition and Subtraction – Topic 1.1
- KS1
- Primary
- Year 1
- Mastery PD Materials
Introducing 'whole' and 'parts': part–part–whole
Spine 1: Number, Addition and Subtraction – Topic 1.2
- KS1
- Primary
- Year 1
- Mastery PD Materials
Composition of numbers: 0–5
Spine 1: Number, Addition and Subtraction – Topic 1.3
- KS1
- Primary
- Year 1
- Mastery PD Materials
Composition of numbers: 6–10
Spine 1: Number, Addition and Subtraction – Topic 1.4
- KS1
- Primary
- Year 1
- Mastery PD Materials
Additive structures: introduction to aggregation and partitioning
Spine 1: Number, Addition and Subtraction – Topic 1.5
- KS1
- Primary
- Year 1
- Mastery PD Materials
Additive structures: introduction to augmentation and reduction
Spine 1: Number, Addition and Subtraction – Topic 1.6
- KS1
- Primary
- Year 1
- Mastery PD Materials
Addition and subtraction: strategies within 10
Spine 1: Number, Addition and Subtraction – Topic 1.7
- KS1
- Primary
- Year 1
- Mastery PD Materials
Composition of numbers: multiples of 10 up to 100
Spine 1: Number, Addition and Subtraction – Topic 1.8
- KS1
- Primary
- Year 1
- Mastery PD Materials
Composition of numbers: 20–100
Spine 1: Number, Addition and Subtraction – Topic 1.9
- KS1
- Primary
- Year 1
- Mastery PD Materials
Composition of numbers: 11–19
Spine 1: Number, Addition and Subtraction – Topic 1.10
- KS1
- Primary
- Year 1
- Mastery PD Materials
Addition and subtraction: bridging 10
Spine 1: Number, Addition and Subtraction – Topic 1.11
- KS1
- Primary
- Year 2
- Mastery PD Materials
Subtraction as difference
Spine 1: Number, Addition and Subtraction – Topic 1.12
- KS1
- Primary
- Year 2
- Mastery PD Materials
Addition and subtraction: two-digit and single-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.13
- KS1
- Primary
- Year 2
- Mastery PD Materials
Addition and subtraction: two-digit numbers and multiples of ten
Spine 1: Number, Addition and Subtraction – Topic 1.14
- KS1
- Primary
- Year 2
- Mastery PD Materials
Addition: two-digit and two-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.15
- KS1
- Primary
- Year 2
- Mastery PD Materials
Subtraction: two-digit and two-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.16
- KS1
- Primary
- Year 2
- Mastery PD Materials
Composition and calculation: 100 and bridging 100
Spine 1: Number, Addition and Subtraction – Topic 1.17
- KS2
- Primary
- Year 3
- Mastery PD Materials
Composition and calculation: three-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.18
- KS2
- Primary
- Year 3
- Mastery PD Materials
Securing mental strategies: calculation up to 999
Spine 1: Number, Addition and Subtraction – Topic 1.19
- KS2
- Primary
- Year 3
- Mastery PD Materials
Algorithms: column addition
Spine 1: Number, Addition and Subtraction – Topic 1.20
- KS2
- Primary
- Year 3
- Mastery PD Materials
Algorithms: column subtraction
Spine 1: Number, Addition and Subtraction – Topic 1.21
- KS2
- Primary
- Year 3
- Mastery PD Materials
Composition and calculation: 1,000 and four-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.22
- KS2
- Primary
- Year 4
- Mastery PD Materials
Composition and calculation: tenths
Spine 1: Number, Addition and Subtraction – Topic 1.23
- KS2
- Primary
- Year 4
- Mastery PD Materials
Composition and calculation: hundredths and thousandths
Spine 1: Number, Addition and Subtraction – Topic 1.24
- KS2
- Primary
- Year 4
- Mastery PD Materials
Addition and subtraction: money
Spine 1: Number, Addition and Subtraction – Topic 1.25
- KS2
- Primary
- Year 4
- Mastery PD Materials
Composition and calculation: multiples of 1,000 up to 1,000,000
Spine 1: Number, Addition and Subtraction – Topic 1.26
- KS2
- Primary
- Year 5
- Mastery PD Materials
Negative numbers: counting, comparing and calculating
Spine 1: Number, Addition and Subtraction – Topic 1.27
- KS2
- Primary
- Year 5
- Mastery PD Materials
Common structures and the part–part–whole relationship
Spine 1: Number, Addition and Subtraction – Topic 1.28
- KS2
- Primary
- Year 5
- Mastery PD Materials
Using equivalence and the compensation property to calculate
Spine 1: Number, Addition and Subtraction – Topic 1.29
- KS2
- Primary
- Year 5
- Mastery PD Materials
Composition and calculation: numbers up to 10,000,000
Spine 1: Number, Addition and Subtraction – Topic 1.30
- KS2
- Primary
- Year 6
- Mastery PD Materials
Problems with two unknowns
Spine 1: Number, Addition and Subtraction – Topic 1.31
- KS2
- Primary
- Year 6
- Mastery PD Materials
Counting, unitising and coins
Spine 2: Multiplication and Division – Topic 2.1
- KS1
- Primary
- Year 1
- Mastery PD Materials
Structures: multiplication representing equal groups
Spine 2: Multiplication and Division – Topic 2.2
- KS1
- Primary
- Year 2
- Mastery PD Materials
Times tables: groups of 2 and commutativity (part 1)
Spine 2: Multiplication and Division – Topic 2.3
- KS1
- Primary
- Year 2
- Mastery PD Materials
Times tables: groups of 10 and of 5, and factors of 0 and 1
Spine 2: Multiplication and Division – Topic 2.4
- KS1
- Primary
- Year 2
- Mastery PD Materials
Commutativity (part 2), doubling and halving
Spine 2: Multiplication and Division – Topic 2.5
- KS1
- Primary
- Year 2
- Mastery PD Materials
Structures: quotitive and partitive division
Spine 2: Multiplication and Division – Topic 2.6
- KS1
- Primary
- Year 2
- Mastery PD Materials
Times tables: 2, 4 and 8, and the relationship between them
Spine 2: Multiplication and Division – Topic 2.7
- KS2
- Primary
- Year 3
- Mastery PD Materials
Times tables: 3, 6 and 9, and the relationship between them
Spine 2: Multiplication and Division – Topic 2.8
- KS2
- Primary
- Year 3
- Mastery PD Materials
Guidance on the teaching of fractions in Key Stage 1
Spine 3: Fractions – Topic 3.0
- KS1
- Primary
- Mastery PD Materials
Preparing for fractions: the part–whole relationship
Spine 3: Fractions – Topic 3.1
- KS2
- Primary
- Year 3
- Mastery PD Materials
Unit fractions: identifying, representing and comparing
Spine 3: Fractions – Topic 3.2
- KS2
- Primary
- Year 3
- Mastery PD Materials
Non-unit fractions: identifying, representing and comparing
Spine 3: Fractions – Topic 3.3
- KS2
- Primary
- Year 3
- Mastery PD Materials
Adding and subtracting within one whole
Spine 3: Fractions – Topic 3.4
- KS2
- Primary
- Year 3
- Mastery PD Materials
Working across one whole: improper fractions and mixed numbers
Spine 3: Fractions – Topic 3.5
- KS2
- Primary
- Year 4
- Mastery PD Materials
Multiplying whole numbers and fractions
Spine 3: Fractions – Topic 3.6
- KS2
- Primary
- Year 4
- Mastery PD Materials
Finding equivalent fractions and simplifying fractions
Spine 3: Fractions – Topic 3.7
- KS2
- Primary
- Year 5
- Mastery PD Materials
Common denomination: more adding and subtracting
Spine 3: Fractions – Topic 3.8
- KS2
- Primary
- Year 5
- Mastery PD Materials
Multiplying fractions and dividing fractions by a whole number
Spine 3: Fractions – Topic 3.9
- KS2
- Primary
- Year 6
- Mastery PD Materials
Linking fractions, decimals and percentages
Spine 3: Fractions – Topic 3.10
- KS2
- Primary
- Year 6
- Mastery PD Materials
Times tables: 7 and patterns within/across times tables
Spine 2: Multiplication and Division – Topic 2.9
- KS2
- Primary
- Year 3
- Mastery PD Materials
Connecting multiplication and division, and the distributive law
Spine 2: Multiplication and Division – Topic 2.10
- KS2
- Primary
- Year 4
- Mastery PD Materials
Times tables: 11 and 12
Spine 2: Multiplication and Division – Topic 2.11
- KS2
- Primary
- Year 4
- Mastery PD Materials
Division with remainders
Spine 2: Multiplication and Division – Topic 2.12
- KS2
- Primary
- Year 4
- Mastery PD Materials
Calculation: multiplying and dividing by 10 or 100
Spine 2: Multiplication and Division – Topic 2.13
- KS2
- Primary
- Year 4
- Mastery PD Materials
Multiplication: partitioning leading to short multiplication
Spine 2: Multiplication and Division – Topic 2.14
- KS2
- Primary
- Year 4
- Mastery PD Materials
Division: partitioning leading to short division
Spine 2: Multiplication and Division – Topic 2.15
- KS2
- Primary
- Year 4
- Mastery PD Materials
Multiplicative contexts: area and perimeter 1
Spine 2: Multiplication and Division – Topic 2.16
- KS2
- Primary
- Year 4
- Mastery PD Materials
Structures: using measures and comparison to understand scaling
Spine 2: Multiplication and Division – Topic 2.17
- KS2
- Primary
- Year 4
- Mastery PD Materials
Using equivalence to calculate
Spine 2: Multiplication and Division – Topic 2.18
- KS2
- Primary
- Year 5
- Mastery PD Materials
Calculation: ×/÷ decimal fractions by whole numbers
Spine 2: Multiplication and Division – Topic 2.19
- KS2
- Primary
- Year 5
- Mastery PD Materials
Multiplication with three factors and volume
Spine 2: Multiplication and Division – Topic 2.20
- KS2
- Primary
- Year 5
- Mastery PD Materials
Factors, multiples, prime numbers and composite numbers
Spine 2: Multiplication and Division – Topic 2.21
- KS2
- Primary
- Year 5
- Mastery PD Materials
Combining multiplication with addition and subtraction
Spine 2: Multiplication and Division – Topic 2.22
- KS2
- Primary
- Year 5
- Mastery PD Materials
Multiplication strategies for larger numbers and long multiplication
Spine 2: Multiplication and Division – Topic 2.23
- KS2
- Primary
- Year 6
- Mastery PD Materials
Division: dividing by two-digit divisors
Spine 2: Multiplication and Division – Topic 2.24
- KS2
- Primary
- Year 6
- Mastery PD Materials
Using compensation to calculate
Spine 2: Multiplication and Division – Topic 2.25
- KS2
- Primary
- Year 6
- Mastery PD Materials
Mean average and equal shares
Spine 2: Multiplication and Division – Topic 2.26
- KS2
- Primary
- Year 6
- Mastery PD Materials
Scale factors, ratio and proportional reasoning
Spine 2: Multiplication and Division – Topic 2.27
- KS2
- Primary
- Year 6
- Mastery PD Materials
Combining division with addition and subtraction
Spine 2: Multiplication and Division – Topic 2.28
- KS2
- Primary
- Year 6
- Mastery PD Materials
Decimal place-value knowledge, multiplication and division
Spine 2: Multiplication and Division – Topic 2.29
- KS2
- Primary
- Year 6
- Mastery PD Materials
Multiplicative contexts: area and perimeter 2
Spine 2: Multiplication and Division – Topic 2.30
- KS2
- Primary
- Year 6
- Mastery PD Materials
Mindset: why is it so important in teaching for mastery?
Liam Colclough, a headteacher in Sheffield, is convinced that to introduce teaching for mastery effectively, a shift in mindset is required
- KS1
- KS2
- Primary
- Case Study
Teaching for mastery: isn’t it just 'good teaching'?
Emma Patman, a Year 4 teacher, explains how her teaching has been transformed by her exposure to teaching for mastery pedagogy
- KS2
- Primary
- Case Study
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
- KS2
- Primary
- Case Study
Meeting the needs of all without ability setting
Removing setting from maths teaching in a three-form entry primary school
- KS2
- Primary
- Case Study
TRGs: Collaborative professional development in action
Green shoots of Teacher Research Groups (TRGs) are slowly spreading their fronds of mastery exploration across the country
- KS1
- KS2
- Primary
- Case Study
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
- KS1
- KS2
- Primary
- Case Study
Cardinality and Counting
Understanding that the cardinal value of a number refers to the quantity, or ‘howmanyness’ of things it represents
- Early Years
- Early Years Materials
Comparison
Understanding that comparing numbers involves knowing which numbers are worth more or less than each other
- Early Years
- Early Years Materials
Composition
Understanding that one number can be made up from (composed from) two or more smaller numbers
- Early Years
- Early Years Materials
Pattern
Looking for and finding patterns helps children notice and understand mathematical relationships
- Early Years
- Early Years Materials
Shape and Space
Understanding what happens when shapes move, or combine with other shapes, helps develop wider mathematical thinking
- Early Years
- Early Years Materials
Measures
Comparing different aspects such as length, weight and volume, as a preliminary to using units to compare later
- Early Years
- Early Years Materials
Teacher collaboration supports mixed-attainment classes
A London school models one possible way to make the transition
- Secondary
- Case Study
Key Stage 1 - Multiplication 1 video lessons
Video lessons on multiplication for children in Years 1 and 2
- KS1
- Primary
- Year 1
- Year 2
- Video Lessons
Key Stage 1 - Multiplication 2 video lessons
Video lessons on multiplication for children in Years 1 and 2
- KS1
- Primary
- Year 1
- Year 2
- Video Lessons
Key Stage 1 - Multiplication 3 video lessons
Video lessons on multiplication for children in Years 1 and 2
- KS1
- Primary
- Year 1
- Year 2
- Video Lessons
Key Stage 1 number, addition and subtraction video lessons
Video lessons on number, addition and subtraction for children in Years 1 and 2
- KS1
- Primary
- Year 1
- Year 2
- Video Lessons
Lower Key Stage 2 - Fractions 1 video lessons
Video lessons on fractions for children in Years 3 and 4
- KS2
- Primary
- Year 3
- Year 4
- Video Lessons
Lower Key Stage 2 - Fractions 2 video lessons
Video lessons on fractions for children in Years 3 and 4
- KS2
- Primary
- Year 3
- Year 4
- Video Lessons
Lower Key Stage 2 - Fractions 3 video lessons
Video lessons on fractions for children in Years 3 and 4
- KS2
- Primary
- Year 3
- Year 4
- Video Lessons
Upper Key Stage 2 - Fractions video lessons
Video lessons on fractions for children in Years 5 and 6
- KS1
- Primary
- Year 5
- Year 6
- Video Lessons
Upper Key Stage 2 - Number, Addition and Subtraction video lessons
Video lessons on number, addition and subtraction for children in Years 5 and 6
- KS1
- Primary
- Year 5
- Year 6
- Video Lessons
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
- KS2
- Primary
- Year 5
- Year 6
- Video Lessons
Post-16 resources
Materials, podcasts, blogs and links for post-16 maths teaching and learning
- Post-16
Numberblocks at home
Resources to accompany the CBeebies Numberblocks series, designed for parents to use at home with children
- Early Years
Curriculum prioritisation in primary maths
What maths to teach for the rest of 2020/21
- KS1
- KS2
- Primary
- Covid Recovery