Using number lines in Key Stage 1
Five ways to use a number line for maths in Years 1 and 2
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Showing results for "Number line"
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
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
Using number lines in secondary maths
Five suggested number lines for use in KS3 and KS4 maths lessons
Teaching ordinality – more than just first, second and third
Ordinality, put simply, is where numbers come in the number system and their relationship to each other. But there’s more to it than that…
Multiplicative Reasoning
Lesson videos on representations in terms of the bar model and double number line are used to support reasoning and problem solving
Five ways to use number lines in secondary maths
Practical tips from a secondary maths teacher
Number and Place Value | Year 2
National Curriculum resources for Number and Place Value – Year 2
Number and Place Value | Year 1
National Curriculum resources for Number and Place Value – Year 1
Measurement | Year 6
National Curriculum resources for Measurement – Year 6
Fractions | Year 3
National Curriculum resources for Fractions – Year 3
Fractions | Year 2
National Curriculum resources for Fractions – Year 2
Fractions | Year 4
National Curriculum resources for Fractions – Year 4
Multiples of 1,000
Unit 2 – 2 weeks
Geometry - properties of shapes | Year 2
National Curriculum resources for Geometry - properties of shapes – Year 2
Mathematical Prompts for Deeper Thinking videos
Videos showing a teacher working with small groups of students from her Year 8 class
Numbers 10 to 100
Unit 1 – 4 weeks
Numbers 0 to 10
Unit 5 – 3 weeks
Fractions | Year 5
National Curriculum resources for Fractions – Year 5
Negative numbers
Unit 3 – 2 weeks
Time
Unit 11 – 1 week
Number and Place Value | Year 5
National Curriculum resources for Number and Place Value – Year 5
Numbers 0 to 20
Unit 8 – 4 weeks
Fractions greater than 1
Unit 9 – 5 weeks
Composition of numbers: multiples of 10 up to 100
Spine 1: Number, Addition and Subtraction – Topic 1.8
Working across one whole: improper fractions and mixed numbers
Spine 3: Fractions – Topic 3.5
Number | KS3
National Curriculum resources for Number – Key Stage 3
Numbers to 1,000
Unit 2 – 10 weeks
Non-unit fractions: identifying, representing and comparing
Spine 3: Fractions – Topic 3.3
Addition and subtraction: two-digit and single-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.13
Primary Round-up - March 2022
Our latest Primary Round-up is now available
Composition of numbers: 20–100
Spine 1: Number, Addition and Subtraction – Topic 1.9
Algebra | Year 6
National Curriculum resources for Algebra – Year 6
Time
Unit 11 – 2 weeks
Composition and calculation: three-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.18
Secondary Round-up - October 2023
Our latest Secondary Round-up is now available
Composition of numbers: 6–10
Spine 1: Number, Addition and Subtraction – Topic 1.4
Understanding students’ mathematical wrong turns
What two secondary teachers learnt from carefully listening to students’ responses to mathematical prompts
Representations in our primary video lessons
Mathematical structure, manipulatives and myth-busting
Number and Place Value | Year 6
National Curriculum resources for Number and Place Value – Year 6
The NCETM Maths Podcast – have you listened yet?
Check out our podcast, with nearly 80 episodes discussing maths teaching in all phases, featuring a wide range of guests
Addition and Subtraction | Year 1
National Curriculum resources for Addition and Subtraction – Year 1
Multiplication and Division | Year 1
National Curriculum resources for Multiplication and Division – Year 1
Addition and Subtraction | Year 4
National Curriculum resources for Addition and Subtraction – Year 4
Addition and Subtraction | Year 2
National Curriculum resources for Addition and Subtraction – Year 2
Multiplicative Reasoning
A model for professional development, giving teachers the tools and resources to develop multiplicative reasoning skills in KS3 students
Fractions | Year 1
National Curriculum resources for Fractions – Year 1
Number and Place Value | Year 3
National Curriculum resources for Number and Place Value – Year 3
Geometry - properties of shapes | Year 5
National Curriculum resources for Geometry - properties of shapes – Year 5
Which KS3 topic are you teaching next?
New videos, PowerPoint slides and guidance documents provide ideas and resources for teaching KS3 topics
Fractions | Year 6
National Curriculum resources for Fractions – Year 6
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
Comparison
Understanding that comparing numbers involves knowing which numbers are worth more or less than each other
Learning fractions shouldn’t be difficult
How a well-sequenced curriculum can unlock understanding for all children
How one secondary school is using Checkpoints at KS3
We visit a school in Lancashire pioneering their use
Mastery Myth-busting
We dispel some of the common myths about teaching for mastery
Statistics | Year 2
National Curriculum resources for Statistics – Year 2
How post-16 Mastery Specialists are leading system change
Based on the underpinning principles of teaching for mastery, the Trailblazers explore ways to develop provision in FE mathematics teaching
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.
The Five Big Ideas at Primary – Coherence
Why is Coherence one of the Five Big Ideas in Teaching for Mastery? And what does it mean for primary maths teachers?
Numberblocks – Series 1
Series 1, all episodes
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
Measurement | Year 2
National Curriculum resources for Measurement – Year 2
Measurement | Year 4
National Curriculum resources for Measurement – Year 4
If it’s Friday, it must be GCSE re-sit
An article from our Director, Charlie Stripp
Measurement | Year 1
National Curriculum resources for Measurement – Year 1
Operating on number
Theme 2 comprises two core concepts: arithmetic procedures; solving linear equations.
Statistics | Year 6
National Curriculum resources for Statistics – Year 6
Statistics
Unit 8 – 1 week
Numbers up to 10,000,000
Unit 3 – 4 weeks
Number and Place Value | Year 4
National Curriculum resources for Number and Place Value – Year 4
Algebra | Key Stage 3
National Curriculum resources for Algebra – Key Stage 3
2.2 Solving linear equations
Core concept 2.2 explores how linear equations are effectively the formulation of a series of operations on unknown numbers and how solving them involves undoing these operations.
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.
Geometry - position and direction | Year 2
National Curriculum resources for Geometry - position and direction – Year 2
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
Geometry - properties of shapes | Year 3
National Curriculum resources for Geometry - properties of shapes – Year 3
Statistics | Year 4
National Curriculum resources for Statistics – Year 4
Probability and Statistics | Key Stage 3
National Curriculum resources for Probability and Statistics – Key Stage 3
Composition and calculation: multiples of 1,000 up to 1,000,000
Spine 1: Number, Addition and Subtraction – Topic 1.26
Addition and Subtraction | Year 3
National Curriculum resources for Addition and Subtraction – Year 3
Addition and Subtraction | Year 6
National Curriculum resources for Addition and Subtraction – Year 6
Checkpoints
Diagnostic maths activities to help teachers develop their assessment of students' prior learning for KS3
Geometry - properties of shapes | Year 6
National Curriculum resources for Geometry - properties of shapes – Year 6
Developing a comprehensive maths curriculum
Developing a school curriculum for mathematics, scheme of work and calculation policy
Geometry - properties of shapes | Year 4
National Curriculum resources for Geometry - properties of shapes – Year 4
Counting on a good read: maths books we love for World Book Day
To celebrate World Book Day we share some of our favourite books about maths for all ages
Primary Round-up - September 2023
Our latest Primary Round-up is now available
Ratio and Proportion | Year 6
National Curriculum resources for Ratio and Proportion – Year 6
The Bar Model
A representation used to expose mathematical structure
Multiplication and Division | Year 5
National Curriculum resources for Multiplication and Division – Year 5
The Joy of Cancelling!
An article from our Director, Charlie Stripp
Using the NCETM Curriculum Prioritisation materials
A maths lead tells his school's story
Geometry - position and direction | Year 1
National Curriculum resources for Geometry - position and direction – Year 1
Secondary Round-up - May 2021
Our latest Secondary Round-up is now available
Geometry - properties of shapes | Year 1
National Curriculum resources for Geometry - properties of shapes – Year 1
Making an impact with Core Maths
We find out why one of the country’s largest post-16 colleges has introduced Core Maths
Equity for all pupils: Blackpool schools open their classrooms
We share how schools in one of Britain’s most economically-challenged areas are working with their local Maths Hub to ensure all pupils can succeed
Reflections on the uptake of AS/A level Maths, AS/A level Further Maths and Core Maths
An article from our Director, Charlie Stripp
Geometry - position and direction | Year 4
National Curriculum resources for Geometry - position and direction – Year 4
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
Sense of measure – capacity, volume, mass
Unit 14 – 2 weeks
Funded opportunities in teaching for mastery for secondary school maths departments
Two options for schools to strengthen maths teaching in KS3 over the next two years and beyond
The Five Big Ideas at Primary - Representation and Structure
Discover how to use Representation and Structure – one of the Five Big Ideas in Teaching for Mastery – to improve maths teaching
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 the hardest topics in GCSE maths
Two teachers from South Yorkshire, who lead Work Groups, tell us why teachers should get involved with ‘Challenging Topics at GCSE’
The NCETM Maths Podcast
Our podcast has something for everyone teaching maths
Outstanding schools, Ofsted and mastery
Find out how three schools deliver maths through teaching for mastery, and why Ofsted liked what they saw
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
Shape and Space
Understanding what happens when shapes move, or combine with other shapes, helps develop wider mathematical thinking
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 Archive
An archive of all Secondary Round-ups and Magazines
Teaching for mastery at secondary: is it compatible with putting students in sets?
A visit to two lessons at Tomlinscote School in Frimley, Surrey
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
An audience with the exam boards: the new A level and GCSE 9-1
Representatives from England’s three main exam boards share their thoughts on how students got on with the the new A level and GCSE 9-1
Ten calculations A level students should do on a calculator
The AMSP's Tom Button looks at which calculations A level students should be doing on a calculator
Maths CPD chat
#mathscpdchat, previously managed by the NCETM
Using number lines in Key Stage 1
Five ways to use a number line for maths in Years 1 and 2
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
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
Using number lines in secondary maths
Five suggested number lines for use in KS3 and KS4 maths lessons
Teaching ordinality – more than just first, second and third
Ordinality, put simply, is where numbers come in the number system and their relationship to each other. But there’s more to it than that…
Five ways to use number lines in secondary maths
Practical tips from a secondary maths teacher
Primary Round-up - March 2022
Our latest Primary Round-up is now available
Secondary Round-up - October 2023
Our latest Secondary Round-up is now available
Understanding students’ mathematical wrong turns
What two secondary teachers learnt from carefully listening to students’ responses to mathematical prompts
Representations in our primary video lessons
Mathematical structure, manipulatives and myth-busting
The NCETM Maths Podcast – have you listened yet?
Check out our podcast, with nearly 80 episodes discussing maths teaching in all phases, featuring a wide range of guests
Which KS3 topic are you teaching next?
New videos, PowerPoint slides and guidance documents provide ideas and resources for teaching KS3 topics
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
Learning fractions shouldn’t be difficult
How a well-sequenced curriculum can unlock understanding for all children
How one secondary school is using Checkpoints at KS3
We visit a school in Lancashire pioneering their use
Mastery Myth-busting
We dispel some of the common myths about teaching for mastery
How post-16 Mastery Specialists are leading system change
Based on the underpinning principles of teaching for mastery, the Trailblazers explore ways to develop provision in FE mathematics teaching
The Five Big Ideas at Primary – Coherence
Why is Coherence one of the Five Big Ideas in Teaching for Mastery? And what does it mean for primary maths teachers?
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
If it’s Friday, it must be GCSE re-sit
An article from our Director, Charlie Stripp
Counting on a good read: maths books we love for World Book Day
To celebrate World Book Day we share some of our favourite books about maths for all ages
Primary Round-up - September 2023
Our latest Primary Round-up is now available
The Joy of Cancelling!
An article from our Director, Charlie Stripp
Using the NCETM Curriculum Prioritisation materials
A maths lead tells his school's story
Secondary Round-up - May 2021
Our latest Secondary Round-up is now available
Making an impact with Core Maths
We find out why one of the country’s largest post-16 colleges has introduced Core Maths
Equity for all pupils: Blackpool schools open their classrooms
We share how schools in one of Britain’s most economically-challenged areas are working with their local Maths Hub to ensure all pupils can succeed
Reflections on the uptake of AS/A level Maths, AS/A level Further Maths and Core Maths
An article from our Director, Charlie Stripp
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
Funded opportunities in teaching for mastery for secondary school maths departments
Two options for schools to strengthen maths teaching in KS3 over the next two years and beyond
The Five Big Ideas at Primary - Representation and Structure
Discover how to use Representation and Structure – one of the Five Big Ideas in Teaching for Mastery – to improve maths teaching
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 the hardest topics in GCSE maths
Two teachers from South Yorkshire, who lead Work Groups, tell us why teachers should get involved with ‘Challenging Topics at GCSE’
Outstanding schools, Ofsted and mastery
Find out how three schools deliver maths through teaching for mastery, and why Ofsted liked what they saw
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
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
An audience with the exam boards: the new A level and GCSE 9-1
Representatives from England’s three main exam boards share their thoughts on how students got on with the the new A level and GCSE 9-1
Ten calculations A level students should do on a calculator
The AMSP's Tom Button looks at which calculations A level students should be doing on a calculator
Multiplicative Reasoning
Lesson videos on representations in terms of the bar model and double number line are used to support reasoning and problem solving
Multiples of 1,000
Unit 2 – 2 weeks
Mathematical Prompts for Deeper Thinking videos
Videos showing a teacher working with small groups of students from her Year 8 class
Numbers 10 to 100
Unit 1 – 4 weeks
Numbers 0 to 10
Unit 5 – 3 weeks
Negative numbers
Unit 3 – 2 weeks
Time
Unit 11 – 1 week
Numbers 0 to 20
Unit 8 – 4 weeks
Fractions greater than 1
Unit 9 – 5 weeks
Composition of numbers: multiples of 10 up to 100
Spine 1: Number, Addition and Subtraction – Topic 1.8
Working across one whole: improper fractions and mixed numbers
Spine 3: Fractions – Topic 3.5
Numbers to 1,000
Unit 2 – 10 weeks
Non-unit fractions: identifying, representing and comparing
Spine 3: Fractions – Topic 3.3
Addition and subtraction: two-digit and single-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.13
Composition of numbers: 20–100
Spine 1: Number, Addition and Subtraction – Topic 1.9
Time
Unit 11 – 2 weeks
Composition and calculation: three-digit numbers
Spine 1: Number, Addition and Subtraction – Topic 1.18
Composition of numbers: 6–10
Spine 1: Number, Addition and Subtraction – Topic 1.4
Comparison
Understanding that comparing numbers involves knowing which numbers are worth more or less than each other
Using mathematical representations at KS3
Guidance for some of the most useful representations for Key Stage 3 mathematics.
Numberblocks – Series 1
Series 1, all episodes
Operating on number
Theme 2 comprises two core concepts: arithmetic procedures; solving linear equations.
Statistics
Unit 8 – 1 week
Numbers up to 10,000,000
Unit 3 – 4 weeks
2.2 Solving linear equations
Core concept 2.2 explores how linear equations are effectively the formulation of a series of operations on unknown numbers and how solving them involves undoing these operations.
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.
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
Composition and calculation: multiples of 1,000 up to 1,000,000
Spine 1: Number, Addition and Subtraction – Topic 1.26
Checkpoints
Diagnostic maths activities to help teachers develop their assessment of students' prior learning for KS3
The Bar Model
A representation used to expose mathematical structure
Sense of measure – capacity, volume, mass
Unit 14 – 2 weeks
Shape and Space
Understanding what happens when shapes move, or combine with other shapes, helps develop wider mathematical thinking
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
Teaching for mastery at secondary: is it compatible with putting students in sets?
A visit to two lessons at Tomlinscote School in Frimley, Surrey