Fractions
Self-audit questions for a teacher to assess confidence in the teaching of fractions in KS1 and KS2
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Showing results for "fractions"
Fractions | Year 3
National Curriculum resources for Fractions – Year 3
Fractions | Year 2
National Curriculum resources for Fractions – Year 2
Fractions
Unit 8 – 7 weeks
Fractions | Year 5
National Curriculum resources for Fractions – Year 5
Fractions | Year 6
National Curriculum resources for Fractions – Year 6
Fractions | Year 4
National Curriculum resources for Fractions – Year 4
Fractions
Lesson videos addressing the ability to develop a secure understanding and calculate with fractions
Fractions and percentages
Unit 7 – 6 weeks
Unit fractions
Unit 8 – 5 weeks
Non-unit fractions
Unit 9 – 4 weeks
Fractions
Unit 10 – 2 weeks
Calculating with decimal fractions
Unit 6 – 3 weeks
Continuity in fractions learning between Year 5 and Year 8
How learning about fractions builds across the four transition years from KS1 to KS2
Fractions | Year 1
National Curriculum resources for Fractions – Year 1
Decimal fractions
Unit 1 – 5 weeks
Review of fractions
Unit 8 – 1 week
Finding equivalent fractions and simplifying fractions
Spine 3: Fractions – Topic 3.7
Fractions
Spine 3 of the Primary Mastery Professional Development Materials
Fractions greater than 1
Unit 9 – 5 weeks
Multiplying fractions and dividing fractions by a whole number
Spine 3: Fractions – Topic 3.9
Multiplying whole numbers and fractions
Spine 3: Fractions – Topic 3.6
Linking fractions, decimals and percentages
Spine 3: Fractions – Topic 3.10
A Year 6 lesson on comparing fractions
Comparing the value of fractions with the same denominators
Unit fractions: identifying, representing and comparing
Spine 3: Fractions – Topic 3.2
Non-unit fractions: identifying, representing and comparing
Spine 3: Fractions – Topic 3.3
Guidance on the teaching of fractions in Key Stage 1
Spine 3: Fractions – Topic 3.0
Working across one whole: improper fractions and mixed numbers
Spine 3: Fractions – Topic 3.5
Fractions Primary Mastery PD Materials now available
The first batch of Spine 3: Fractions mastery professional development materials can be downloaded
Preparing for fractions: the part–whole relationship
Spine 3: Fractions – Topic 3.1
Learning fractions shouldn’t be difficult
How a well-sequenced curriculum can unlock understanding for all children
Upper Key Stage 2 - Fractions video lessons
Video lessons on fractions for children in Years 5 and 6
Lower Key Stage 2 - Fractions 1 video lessons
Video lessons on fractions for children in Years 3 and 4
Lower Key Stage 2 - Fractions 2 video lessons
Video lessons on fractions for children in Years 3 and 4
Lower Key Stage 2 - Fractions 3 video lessons
Video lessons on fractions for children in Years 3 and 4
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
Calculation: ×/÷ decimal fractions by whole numbers
Spine 2: Multiplication and Division – Topic 2.19
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.
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.
Common denomination: more adding and subtracting
Spine 3: Fractions – Topic 3.8
Adding and subtracting within one whole
Spine 3: Fractions – Topic 3.4
3.1 Understanding multiplicative relationships
Core concept 3.1 explores fractions, percentages, ratio and proportion (direct and inverse) as contexts in which multiplicative relationships are used.
7.2 Using structure to transform and evaluate expressions
Core concept 7.2 deepens understanding of fractions, indices and surds, and explores generalised expressions which underpin algebraic proof.
Planning collaboratively and learning together as a department
How a secondary maths department includes everyone in the planning process and fosters shared learning
Multiplication and Division | Year 6
National Curriculum resources for Multiplication and Division – Year 6
Multiplication and Division | Year 5
National Curriculum resources for Multiplication and Division – Year 5
Addition and Subtraction | Year 6
National Curriculum resources for Addition and Subtraction – Year 6
Language and maths: teaching EAL pupils
Gabriel Flores, teaching in Bangkok, found out how numbers and fractions are expressed in Thai, and used this to understand how his EAL pupils grasp mathematical structure
Ratio and Proportion | Year 6
National Curriculum resources for Ratio and Proportion – Year 6
Number | KS3
National Curriculum resources for Number – Key Stage 3
Number and Place Value | Year 5
National Curriculum resources for Number and Place Value – Year 5
Multiplication and Division | Year 1
National Curriculum resources for Multiplication and Division – Year 1
Statistics | Year 6
National Curriculum resources for Statistics – Year 6
Ratio and Proportion and Rates of Change | KS3
National Curriculum resources for Ratio and Proportion and Rates of Change – KS3
Number and Place Value | Year 4
National Curriculum resources for Number and Place Value – Year 4
Five ways to use our Planning to teach videos and resources
Explore ideas for lockdown learning, remote teaching and online CPD
Multiplication and Division | Year 2
National Curriculum resources for Multiplication and Division – Year 2
Planning to teach secondary maths
Videos and resources for teaching Key Stage 3 maths topics
Algebra | Key Stage 3
National Curriculum resources for Algebra – Key Stage 3
Departmental Workshops
Collaborative CPD sessions for maths departments or other groups of secondary teachers
Reasoning Skills
Developing opportunities and ensuring progression in the development of reasoning skills
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
Shaping the Year 7 curriculum: building on Year 6
Ready-to-use training materials, ideal for use in planning effective curriculum transition from primary
Structures: using measures and comparison to understand scaling
Spine 2: Multiplication and Division – Topic 2.17
Progression Maps for Key Stages 1 and 2
The progression maps are structured using the topic headings as they appear in the National Curriculum
Checkpoints
Diagnostic maths activities to help teachers develop their assessment of students' prior learning for KS3
Using mathematical representations at KS3
Guidance for some of the most useful representations for Key Stage 3 mathematics.
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
NCETM Newsletter - January 2022
Primary Curriculum Prioritisation resource now complete, new Checkpoints, CPD for Early Career Teachers, Twitter Week in Focus, and more
The Joy of Cancelling!
An article from our Director, Charlie Stripp
Primary Round-up - January 2022
Our latest Primary Round-up is now available
NCETM Newsletter - March 2022
NCETM Checkpoints, research and innovation in the Maths Hubs Network, and our weekly Twitter-based chats
Insights from experienced teachers
Pairs of teachers explore small sections of the mastery materials in depth
Calculating using knowledge of structures (1)
Unit 1 – 6 weeks
Example lessons
Examples of three of the 15 lessons contained within the Teaching Units
Using number lines in secondary maths
Five suggested number lines for use in KS3 and KS4 maths lessons
Our Primary Round-up for July is out!
Our latest Primary Round-up is now available
Secondary Round-up - March 2021
Our latest Secondary Round-up is now available
Division: dividing by two-digit divisors
Spine 2: Multiplication and Division – Topic 2.24
Year 5 Shanghai showcase lesson
Ms Dai, part of the the England–China exchange, leads a Year 5 lesson at Tubbenden Primary School
Composition and calculation: tenths
Spine 1: Number, Addition and Subtraction – Topic 1.23
Statistics
Unit 8 – 1 week
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
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
How can the NCETM help secondary teachers with Covid recovery?
Guidance, training materials and videos that unpick the teaching of specific topics.
Which KS3 topic are you teaching next?
New videos, PowerPoint slides and guidance documents provide ideas and resources for teaching KS3 topics
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 Primary Mastery PD Materials now available
The first batch of Spine 2: Multiplication and Division mastery professional development materials is now available
Primary Round-up - January 2024
Our latest Primary Round-up is now available
KS4 professional development materials now available
Two new core concepts covering ‘Using and applying numerical structure’ are ready to download
Secondary Round-up - February 2024
Our latest Secondary Round-up is now available
Specialist Knowledge for Teaching Mathematics - Secondary Teaching Assistants
Develop mathematical subject knowledge and understand the pedagogy that underpins the teaching of it
Prepare your Year 6 pupils for SATs
Ensure Year 6 pupils have the understanding they need to progress by using our handpicked resources
Developing your use of manipulatives in maths teaching
Articles, books and video to help you use physical representations more effectively in lessons
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
Developing a comprehensive maths curriculum
Developing a school curriculum for mathematics, scheme of work and calculation policy
Why mastery makes us optimistic about our next GCSE results
Article by Jenny Laurie, Deputy Head at The St Marylebone CE School, London
What maths shall we do with Year 6 this term?
We’ve gathered suggestions about preparing pupils for transition in this disrupted year
The ECT and the mentor
How can a maths department and mentor best support their maths ECT?
Geometry - properties of shapes | Year 3
National Curriculum resources for Geometry - properties of shapes – Year 3
Primary Archive
An archive of all Primary Round-ups and Magazines
The Bar Model
A representation used to expose mathematical structure
Composition and calculation: hundredths and thousandths
Spine 1: Number, Addition and Subtraction – Topic 1.24
Five ways to use number lines in secondary maths
Practical tips from a secondary maths teacher
TRGs: Collaborative professional development in action
Green shoots of Teacher Research Groups (TRGs) are slowly spreading their fronds of mastery exploration across the country
Using number lines in Key Stage 2
We explore how number lines can be used at KS2 to support children to develop a greater understanding of the linear number system and prepare them for secondary maths
NCETM Newsletter: July 2019
Our latest NCETM newsletter is now available
Measurement | Year 3
National Curriculum resources for Measurement – Year 3
Secondary Archive
An archive of all Secondary Round-ups and Magazines
Multiplication and Division | Year 4
National Curriculum resources for Multiplication and Division – Year 4
Multiplication and Division | Year 3
National Curriculum resources for Multiplication and Division – Year 3
Probability and Statistics | Key Stage 3
National Curriculum resources for Probability and Statistics – Key Stage 3
NCETM Newsletter - February 2019
Our latest NCETM newsletter is now available
Position and direction
Unit 10 – 1 week
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
Understanding multiplicative relationships
Do your students know that, for any two numbers, there’s always a unique third number that links them multiplicatively?
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
Working together to improve GCSE Maths outcomes in Stoke
An article from our Director, Charlie Stripp
Specialist Knowledge for Teaching Mathematics (SKTM)
For secondary non-specialists: a new Maths Hubs CPD programme for 2021/22
Number and Place Value | Year 6
National Curriculum resources for Number and Place Value – Year 6
Measurement | Year 4
National Curriculum resources for Measurement – Year 4
Introducing multiplicative thinking
Building in small steps to ensure all children develop understanding early on in primary school
Three calculations to encourage and support fluency
Prompts for teachers to draw out mathematical thinking in KS2 or KS3 pupils
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
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?
Number and Place Value | Year 3
National Curriculum resources for Number and Place Value – Year 3
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
NCETM Newsletter - March 2019
Our latest NCETM newsletter is now available
Useful tips for tackling multiplicative thinking
Embedding multiplicative thinking across the primary maths curriculum
Teaching maths in the pandemic
How our podcast guests have been adapting their teaching to get round Covid restrictions
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
Representations in our primary video lessons
Mathematical structure, manipulatives and myth-busting
Use our new Checkpoints activities in Year 7!
A secure understanding of Key Stage 2 maths is crucial for new Year 7s to progress at secondary school
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
Algebra | Year 6
National Curriculum resources for Algebra – Year 6
Addition and Subtraction | Year 1
National Curriculum resources for Addition and Subtraction – Year 1
Measurement | Year 1
National Curriculum resources for Measurement – Year 1
How one secondary school is using Checkpoints at KS3
We visit a school in Lancashire pioneering their use
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
Mastery in mathematics: What it is and why we should be doing it
An article from our Director, Charlie Stripp
Maths CPD chat
#mathscpdchat, previously managed by the NCETM
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
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?
If it’s Friday, it must be GCSE re-sit
An article from our Director, Charlie Stripp
Geometry and Measures | Key Stage 3
National Curriculum resources for Geometry and Measures – Key Stage 3
Measures
Comparing different aspects such as length, weight and volume, as a preliminary to using units to compare later
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
Continuity in fractions learning between Year 5 and Year 8
How learning about fractions builds across the four transition years from KS1 to KS2
Fractions Primary Mastery PD Materials now available
The first batch of Spine 3: Fractions mastery professional development materials can be downloaded
Learning fractions shouldn’t be difficult
How a well-sequenced curriculum can unlock understanding for all children
Planning collaboratively and learning together as a department
How a secondary maths department includes everyone in the planning process and fosters shared learning
Language and maths: teaching EAL pupils
Gabriel Flores, teaching in Bangkok, found out how numbers and fractions are expressed in Thai, and used this to understand how his EAL pupils grasp mathematical structure
Five ways to use our Planning to teach videos and resources
Explore ideas for lockdown learning, remote teaching and online CPD
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
NCETM Newsletter - January 2022
Primary Curriculum Prioritisation resource now complete, new Checkpoints, CPD for Early Career Teachers, Twitter Week in Focus, and more
The Joy of Cancelling!
An article from our Director, Charlie Stripp
Primary Round-up - January 2022
Our latest Primary Round-up is now available
NCETM Newsletter - March 2022
NCETM Checkpoints, research and innovation in the Maths Hubs Network, and our weekly Twitter-based chats
Using number lines in secondary maths
Five suggested number lines for use in KS3 and KS4 maths lessons
Our Primary Round-up for July is out!
Our latest Primary Round-up is now available
Secondary Round-up - March 2021
Our latest Secondary Round-up is now available
Primary Round-up - March 2024
Our latest Primary Round-up is now available
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
How can the NCETM help secondary teachers with Covid recovery?
Guidance, training materials and videos that unpick the teaching of specific topics.
Which KS3 topic are you teaching next?
New videos, PowerPoint slides and guidance documents provide ideas and resources for teaching KS3 topics
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 Primary Mastery PD Materials now available
The first batch of Spine 2: Multiplication and Division mastery professional development materials is now available
Primary Round-up - January 2024
Our latest Primary Round-up is now available
KS4 professional development materials now available
Two new core concepts covering ‘Using and applying numerical structure’ are ready to download
Secondary Round-up - February 2024
Our latest Secondary Round-up is now available
Prepare your Year 6 pupils for SATs
Ensure Year 6 pupils have the understanding they need to progress by using our handpicked resources
Developing your use of manipulatives in maths teaching
Articles, books and video to help you use physical representations more effectively in lessons
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
Why mastery makes us optimistic about our next GCSE results
Article by Jenny Laurie, Deputy Head at The St Marylebone CE School, London
What maths shall we do with Year 6 this term?
We’ve gathered suggestions about preparing pupils for transition in this disrupted year
The ECT and the mentor
How can a maths department and mentor best support their maths ECT?
Five ways to use number lines in secondary maths
Practical tips from a secondary maths teacher
Using number lines in Key Stage 2
We explore how number lines can be used at KS2 to support children to develop a greater understanding of the linear number system and prepare them for secondary maths
NCETM Newsletter: July 2019
Our latest NCETM newsletter is now available
NCETM Newsletter - February 2019
Our latest NCETM newsletter is now available
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
Understanding multiplicative relationships
Do your students know that, for any two numbers, there’s always a unique third number that links them multiplicatively?
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
Working together to improve GCSE Maths outcomes in Stoke
An article from our Director, Charlie Stripp
Specialist Knowledge for Teaching Mathematics (SKTM)
For secondary non-specialists: a new Maths Hubs CPD programme for 2021/22
Introducing multiplicative thinking
Building in small steps to ensure all children develop understanding early on in primary school
Three calculations to encourage and support fluency
Prompts for teachers to draw out mathematical thinking in KS2 or KS3 pupils
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
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?
NCETM Newsletter - September 2019
Our latest NCETM newsletter is now available
NCETM Newsletter - March 2019
Our latest NCETM newsletter is now available
Useful tips for tackling multiplicative thinking
Embedding multiplicative thinking across the primary maths curriculum
Teaching maths in the pandemic
How our podcast guests have been adapting their teaching to get round Covid restrictions
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
Representations in our primary video lessons
Mathematical structure, manipulatives and myth-busting
Use our new Checkpoints activities in Year 7!
A secure understanding of Key Stage 2 maths is crucial for new Year 7s to progress at secondary school
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
How one secondary school is using Checkpoints at KS3
We visit a school in Lancashire pioneering their use
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
Mastery in mathematics: What it is and why we should be doing it
An article from our Director, Charlie Stripp
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
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?
If it’s Friday, it must be GCSE re-sit
An article from our Director, Charlie Stripp
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
Fractions
Self-audit questions for a teacher to assess confidence in the teaching of fractions in KS1 and KS2
Fractions
Unit 8 – 7 weeks
Fractions
Lesson videos addressing the ability to develop a secure understanding and calculate with fractions
Fractions and percentages
Unit 7 – 6 weeks
Unit fractions
Unit 8 – 5 weeks
Non-unit fractions
Unit 9 – 4 weeks
Fractions
Unit 10 – 2 weeks
Calculating with decimal fractions
Unit 6 – 3 weeks
Decimal fractions
Unit 1 – 5 weeks
Review of fractions
Unit 8 – 1 week
Finding equivalent fractions and simplifying fractions
Spine 3: Fractions – Topic 3.7
Fractions greater than 1
Unit 9 – 5 weeks
Multiplying fractions and dividing fractions by a whole number
Spine 3: Fractions – Topic 3.9
Multiplying whole numbers and fractions
Spine 3: Fractions – Topic 3.6
Linking fractions, decimals and percentages
Spine 3: Fractions – Topic 3.10
A Year 6 lesson on comparing fractions
Comparing the value of fractions with the same denominators
Unit fractions: identifying, representing and comparing
Spine 3: Fractions – Topic 3.2
Non-unit fractions: identifying, representing and comparing
Spine 3: Fractions – Topic 3.3
Guidance on the teaching of fractions in Key Stage 1
Spine 3: Fractions – Topic 3.0
Working across one whole: improper fractions and mixed numbers
Spine 3: Fractions – Topic 3.5
Preparing for fractions: the part–whole relationship
Spine 3: Fractions – Topic 3.1
Upper Key Stage 2 - Fractions video lessons
Video lessons on fractions for children in Years 5 and 6
Lower Key Stage 2 - Fractions 1 video lessons
Video lessons on fractions for children in Years 3 and 4
Lower Key Stage 2 - Fractions 2 video lessons
Video lessons on fractions for children in Years 3 and 4
Lower Key Stage 2 - Fractions 3 video lessons
Video lessons on fractions for children in Years 3 and 4
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
Calculation: ×/÷ decimal fractions by whole numbers
Spine 2: Multiplication and Division – Topic 2.19
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.
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.
Common denomination: more adding and subtracting
Spine 3: Fractions – Topic 3.8
Adding and subtracting within one whole
Spine 3: Fractions – Topic 3.4
3.1 Understanding multiplicative relationships
Core concept 3.1 explores fractions, percentages, ratio and proportion (direct and inverse) as contexts in which multiplicative relationships are used.
7.2 Using structure to transform and evaluate expressions
Core concept 7.2 deepens understanding of fractions, indices and surds, and explores generalised expressions which underpin algebraic proof.
Planning to teach secondary maths
Videos and resources for teaching Key Stage 3 maths topics
Departmental Workshops
Collaborative CPD sessions for maths departments or other groups of secondary teachers
Reasoning Skills
Developing opportunities and ensuring progression in the development of reasoning skills
Shaping the Year 7 curriculum: building on Year 6
Ready-to-use training materials, ideal for use in planning effective curriculum transition from primary
Structures: using measures and comparison to understand scaling
Spine 2: Multiplication and Division – Topic 2.17
Progression Maps for Key Stages 1 and 2
The progression maps are structured using the topic headings as they appear in the National Curriculum
Checkpoints
Diagnostic maths activities to help teachers develop their assessment of students' prior learning for KS3
Using mathematical representations at KS3
Guidance for some of the most useful representations for Key Stage 3 mathematics.
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
Insights from experienced teachers
Pairs of teachers explore small sections of the mastery materials in depth
Calculating using knowledge of structures (1)
Unit 1 – 6 weeks
Division: dividing by two-digit divisors
Spine 2: Multiplication and Division – Topic 2.24
Year 5 Shanghai showcase lesson
Ms Dai, part of the the England–China exchange, leads a Year 5 lesson at Tubbenden Primary School
Composition and calculation: tenths
Spine 1: Number, Addition and Subtraction – Topic 1.23
Statistics
Unit 8 – 1 week
The Bar Model
A representation used to expose mathematical structure
Composition and calculation: hundredths and thousandths
Spine 1: Number, Addition and Subtraction – Topic 1.24
TRGs: Collaborative professional development in action
Green shoots of Teacher Research Groups (TRGs) are slowly spreading their fronds of mastery exploration across the country
Position and direction
Unit 10 – 1 week
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
Measures
Comparing different aspects such as length, weight and volume, as a preliminary to using units to compare later