Number and Place Value | Year 4
National Curriculum resources for Number and Place Value – Year 4
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Showing results for "place value"
Number and Place Value | Year 3
National Curriculum resources for Number and Place Value – Year 3
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.
Number and Place Value | Year 2
National Curriculum resources for Number and Place Value – Year 2
Number and Place Value | Year 5
National Curriculum resources for Number and Place Value – Year 5
Number and Place Value | Year 1
National Curriculum resources for Number and Place Value – Year 1
Number and Place Value | Year 6
National Curriculum resources for Number and Place Value – Year 6
Number and Place Value
Lesson videos on children developing understanding and fluency with number
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
Decimal place-value knowledge, multiplication and division
Spine 2: Multiplication and Division – Topic 2.29
The structure of the number system
Theme 1 comprises four core concepts: place value, estimation and rounding; properties of number; ordering and comparing; simplifying and manipulating expressions, equations and formulae.
Addition and Subtraction | Year 3
National Curriculum resources for Addition and Subtraction – Year 3
Which KS3 topic are you teaching next?
New videos, PowerPoint slides and guidance documents provide ideas and resources for teaching KS3 topics
Understanding students’ mathematical wrong turns
What two secondary teachers learnt from carefully listening to students’ responses to mathematical prompts
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
Fractions | Year 4
National Curriculum resources for Fractions – Year 4
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
Measurement | Year 4
National Curriculum resources for Measurement – 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 4
National Curriculum resources for Multiplication and Division – Year 4
Addition and Subtraction | Year 2
National Curriculum resources for Addition and Subtraction – Year 2
Fractions | Year 3
National Curriculum resources for Fractions – Year 3
Number | KS3
National Curriculum resources for Number – Key Stage 3
Reasoning Skills
Developing opportunities and ensuring progression in the development of reasoning skills
Measurement | Year 5
National Curriculum resources for Measurement – Year 5
Using mathematical representations at KS3
Guidance for some of the most useful representations for Key Stage 3 mathematics.
Shaping the Year 7 curriculum: building on Year 6
Ready-to-use training materials, ideal for use in planning effective curriculum transition from primary
Column addition
Unit 5 – 2 weeks
Decimal fractions
Unit 1 – 5 weeks
Multiplication and Division | Year 2
National Curriculum resources for Multiplication and Division – Year 2
Mathematical Prompts for Deeper Thinking videos
Videos showing a teacher working with small groups of students from her Year 8 class
Departmental Workshops
Collaborative CPD sessions for maths departments or other groups of secondary teachers
Progression Maps for Key Stages 1 and 2
The progression maps are structured using the topic headings as they appear in the National Curriculum
Review of column addition and subtraction
Unit 1 – 3 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
Numbers to 10,000
Unit 2 – 5 weeks
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
Multiplication strategies for larger numbers and long multiplication
Spine 2: Multiplication and Division – Topic 2.23
Numbers to 1,000
Unit 2 – 10 weeks
Numberblocks wins a BAFTA!
The CBeebies television series, Numberblocks, has won a BAFTA award.
Secondary Round-up - March 2021
Our latest Secondary Round-up is now available
Composition and calculation: tenths
Spine 1: Number, Addition and Subtraction – Topic 1.23
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
Calculation: ×/÷ decimal fractions by whole numbers
Spine 2: Multiplication and Division – Topic 2.19
Composition and calculation: three-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.18
Insights from experienced teachers
Pairs of teachers explore small sections of the mastery materials in depth
Calculation: multiplying and dividing by 10 or 100
Spine 2: Multiplication and Division – Topic 2.13
Specialist Knowledge for Teaching Mathematics (SKTM)
For secondary non-specialists: a new Maths Hubs CPD programme for 2021/22
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
Composition and calculation: hundredths and thousandths
Spine 1: Number, Addition and Subtraction – Topic 1.24
New diagnostic classroom resources to find out what your Year 7s can do
Addressing two years of disrupted schooling, Checkpoints activities will help you to formatively assess understanding of key topics
Algebra | Key Stage 3
National Curriculum resources for Algebra – Key Stage 3
Multiplication and Division | Year 3
National Curriculum resources for Multiplication and Division – Year 3
Primary Archive
An archive of all Primary Round-ups and Magazines
Statistics | Year 2
National Curriculum resources for Statistics – Year 2
Developing your use of manipulatives in maths teaching
Articles, books and video to help you use physical representations more effectively in lessons
How one secondary school is using Checkpoints at KS3
We visit a school in Lancashire pioneering their use
Statistics | Year 3
National Curriculum resources for Statistics – Year 3
What is unitising, and why is it important?
This article follows the concept of unitising through Years 1-6, also demonstrating effective curriculum sequencing
Fractions | Year 2
National Curriculum resources for Fractions – Year 2
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 teaching units
The Multiplicative Reasoning teaching units
Addition and Subtraction | Year 6
National Curriculum resources for Addition and Subtraction – Year 6
NCETM Newsletter - December 2019
Our latest NCETM newsletter is now available
Learning fractions shouldn’t be difficult
How a well-sequenced curriculum can unlock understanding for all children
Multiplication and Division | Year 1
National Curriculum resources for Multiplication and Division – Year 1
Professional development for primary teaching assistants
Ensuring impact, effectiveness and pupil progress
Useful tips for tackling multiplicative thinking
Embedding multiplicative thinking across the primary maths curriculum
If it’s Friday, it must be GCSE re-sit
An article from our Director, Charlie Stripp
Measurement | Year 2
National Curriculum resources for Measurement – Year 2
Twitter discussions about teaching maths in all phases
Join our Tuesday evening chats or read summaries on our website
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
Aligning curriculum reform and assessment with teaching for mastery in primary maths
Charlie Stripp and Debbie Morgan respond to a recent TES article by Peter Foulds and David Thomas regarding the primary curriculum and potential reform
Fractions | Year 6
National Curriculum resources for Fractions – Year 6
Addition and Subtraction | Year 4
National Curriculum resources for Addition and Subtraction – Year 4
Measurement | Year 3
National Curriculum resources for Measurement – Year 3
Fractions | Year 1
National Curriculum resources for Fractions – Year 1
Multiplication and Division | Year 5
National Curriculum resources for Multiplication and Division – Year 5
How the NCETM's mastery materials are making an impact
How our Professional Development materials can help you consolidate your subject knowledge, plan your maths lessons effectively and be assured that your pupils will grasp concepts with confidence
Teaching perimeter and area in Year 7 using NCETM Checkpoints
What do your Year 7s already know and understand? How can you find out? And how can you move their understanding forward in Year 7?
Four ways to create better mathematical talk in your classroom
And resources you might like to explore
Addition and Subtraction | Year 1
National Curriculum resources for Addition and Subtraction – Year 1
Statistics | Year 4
National Curriculum resources for Statistics – Year 4
Geometry - properties of shapes | Year 6
National Curriculum resources for Geometry - properties of shapes – Year 6
England-China teacher exchange 2016/17: Seeing Shanghai teaching at first hand
An article from our Director, Charlie Stripp
Multiplication and Division | Year 6
National Curriculum resources for Multiplication and Division – Year 6
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
Algebra | Year 6
National Curriculum resources for Algebra – Year 6
Negative numbers
Unit 3 – 2 weeks
Developing a comprehensive maths curriculum
Developing a school curriculum for mathematics, scheme of work and calculation policy
Numbers up to 10,000,000
Unit 3 – 4 weeks
Maths CPD chat
#mathscpdchat, previously managed by the NCETM
Composition of numbers: 20–100
Spine 1: Number, Addition and Subtraction – Topic 1.9
Five ways to use number lines in secondary maths
Practical tips from a secondary maths teacher
Negative numbers: counting, comparing and calculating
Spine 1: Number, Addition and Subtraction – Topic 1.27
Reflections on the Ofsted maths subject report
Charlie Stripp shares his thoughts on ‘Coordinating mathematical success’
About the NCETM
How we support anyone who teaches maths
Measurement | Year 1
National Curriculum resources for Measurement – Year 1
Fractions | Year 5
National Curriculum resources for Fractions – Year 5
New funding for Core Maths
Why this is so important and how you can ensure your school or college can take advantage of it
Non-unit fractions: identifying, representing and comparing
Spine 3: Fractions – Topic 3.3
Five tips for using number lines in Key Stage 1
We look at five ways number lines can be used in KS1 to explore and reason with numbers
Three calculations to encourage and support fluency
Prompts for teachers to draw out mathematical thinking in KS2 or KS3 pupils
Nine tips for new secondary heads of maths
How to lead a happy and successful department
Cardinality and Counting
Understanding that the cardinal value of a number refers to the quantity, or ‘howmanyness’ of things it represents
‘Taking the ceiling off learning’ with Mastering Number
Building number sense and fluency in Reception and Key Stage 1
Measures
Comparing different aspects such as length, weight and volume, as a preliminary to using units to compare later
Geometry and Measures | Key Stage 3
National Curriculum resources for Geometry and Measures – Key Stage 3
PISA results for mathematics – how can they help us?
An article from our Director, Charlie Stripp
Available now! Secondary Mastery Professional Development Materials
Read about our comprehensive Secondary Mastery Professional Development Materials, what they are, who they are for, and how they can be used
Why study maths at university
It’s crucial to encourage students who enjoy maths to study it at university, even if they won’t achieve top A level Maths grades
Raising the status of professional development
An article from our Director, Charlie Stripp
Professional Development – the key to making teaching ‘a career worth having’
An article from our Director, Charlie Stripp
Ratio and Proportion | Year 6
National Curriculum resources for Ratio and Proportion – Year 6
Which KS3 topic are you teaching next?
New videos, PowerPoint slides and guidance documents provide ideas and resources for teaching KS3 topics
Understanding students’ mathematical wrong turns
What two secondary teachers learnt from carefully listening to students’ responses to mathematical prompts
Five ways to use our Planning to teach videos and resources
Explore ideas for lockdown learning, remote teaching and online CPD
Numberblocks wins a BAFTA!
The CBeebies television series, Numberblocks, has won a BAFTA award.
Secondary Round-up - March 2021
Our latest Secondary Round-up is now available
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
Specialist Knowledge for Teaching Mathematics (SKTM)
For secondary non-specialists: a new Maths Hubs CPD programme for 2021/22
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
New diagnostic classroom resources to find out what your Year 7s can do
Addressing two years of disrupted schooling, Checkpoints activities will help you to formatively assess understanding of key topics
Developing your use of manipulatives in maths teaching
Articles, books and video to help you use physical representations more effectively in lessons
How one secondary school is using Checkpoints at KS3
We visit a school in Lancashire pioneering their use
What is unitising, and why is it important?
This article follows the concept of unitising through Years 1-6, also demonstrating effective curriculum sequencing
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
NCETM Newsletter - December 2019
Our latest NCETM newsletter is now available
Learning fractions shouldn’t be difficult
How a well-sequenced curriculum can unlock understanding for all children
Professional development for primary teaching assistants
Ensuring impact, effectiveness and pupil progress
Useful tips for tackling multiplicative thinking
Embedding multiplicative thinking across the primary maths curriculum
If it’s Friday, it must be GCSE re-sit
An article from our Director, Charlie Stripp
Twitter discussions about teaching maths in all phases
Join our Tuesday evening chats or read summaries on our website
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
Aligning curriculum reform and assessment with teaching for mastery in primary maths
Charlie Stripp and Debbie Morgan respond to a recent TES article by Peter Foulds and David Thomas regarding the primary curriculum and potential reform
How the NCETM's mastery materials are making an impact
How our Professional Development materials can help you consolidate your subject knowledge, plan your maths lessons effectively and be assured that your pupils will grasp concepts with confidence
Teaching perimeter and area in Year 7 using NCETM Checkpoints
What do your Year 7s already know and understand? How can you find out? And how can you move their understanding forward in Year 7?
Four ways to create better mathematical talk in your classroom
And resources you might like to explore
England-China teacher exchange 2016/17: Seeing Shanghai teaching at first hand
An article from our Director, Charlie Stripp
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
Five ways to use number lines in secondary maths
Practical tips from a secondary maths teacher
Reflections on the Ofsted maths subject report
Charlie Stripp shares his thoughts on ‘Coordinating mathematical success’
New funding for Core Maths
Why this is so important and how you can ensure your school or college can take advantage of it
Five tips for using number lines in Key Stage 1
We look at five ways number lines can be used in KS1 to explore and reason with numbers
Three calculations to encourage and support fluency
Prompts for teachers to draw out mathematical thinking in KS2 or KS3 pupils
Nine tips for new secondary heads of maths
How to lead a happy and successful department
‘Taking the ceiling off learning’ with Mastering Number
Building number sense and fluency in Reception and Key Stage 1
PISA results for mathematics – how can they help us?
An article from our Director, Charlie Stripp
Available now! Secondary Mastery Professional Development Materials
Read about our comprehensive Secondary Mastery Professional Development Materials, what they are, who they are for, and how they can be used
Why study maths at university
It’s crucial to encourage students who enjoy maths to study it at university, even if they won’t achieve top A level Maths grades
Raising the status of professional development
An article from our Director, Charlie Stripp
Professional Development – the key to making teaching ‘a career worth having’
An article from our Director, Charlie Stripp
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.
Number and Place Value
Lesson videos on children developing understanding and fluency with number
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
Decimal place-value knowledge, multiplication and division
Spine 2: Multiplication and Division – Topic 2.29
The structure of the number system
Theme 1 comprises four core concepts: place value, estimation and rounding; properties of number; ordering and comparing; simplifying and manipulating expressions, equations and formulae.
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
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
Reasoning Skills
Developing opportunities and ensuring progression in the development of reasoning skills
Using mathematical representations at KS3
Guidance for some of the most useful representations for Key Stage 3 mathematics.
Shaping the Year 7 curriculum: building on Year 6
Ready-to-use training materials, ideal for use in planning effective curriculum transition from primary
Column addition
Unit 5 – 2 weeks
Decimal fractions
Unit 1 – 5 weeks
Mathematical Prompts for Deeper Thinking videos
Videos showing a teacher working with small groups of students from her Year 8 class
Departmental Workshops
Collaborative CPD sessions for maths departments or other groups of secondary teachers
Progression Maps for Key Stages 1 and 2
The progression maps are structured using the topic headings as they appear in the National Curriculum
Review of column addition and subtraction
Unit 1 – 3 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
Numbers to 10,000
Unit 2 – 5 weeks
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
Multiplication strategies for larger numbers and long multiplication
Spine 2: Multiplication and Division – Topic 2.23
Numbers to 1,000
Unit 2 – 10 weeks
Composition and calculation: tenths
Spine 1: Number, Addition and Subtraction – Topic 1.23
Calculation: ×/÷ decimal fractions by whole numbers
Spine 2: Multiplication and Division – Topic 2.19
Composition and calculation: three-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.18
Insights from experienced teachers
Pairs of teachers explore small sections of the mastery materials in depth
Calculation: multiplying and dividing by 10 or 100
Spine 2: Multiplication and Division – Topic 2.13
Composition and calculation: hundredths and thousandths
Spine 1: Number, Addition and Subtraction – Topic 1.24
Negative numbers
Unit 3 – 2 weeks
Numbers up to 10,000,000
Unit 3 – 4 weeks
Composition of numbers: 20–100
Spine 1: Number, Addition and Subtraction – Topic 1.9
Negative numbers: counting, comparing and calculating
Spine 1: Number, Addition and Subtraction – Topic 1.27
Non-unit fractions: identifying, representing and comparing
Spine 3: Fractions – Topic 3.3
Cardinality and Counting
Understanding that the cardinal value of a number refers to the quantity, or ‘howmanyness’ of things it represents
Measures
Comparing different aspects such as length, weight and volume, as a preliminary to using units to compare later