Ratio and proportion
Unit 9 – 2 weeks
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Showing results for "ratio"
Ratio and Proportion | Year 6
National Curriculum resources for Ratio and Proportion – Year 6
Ratio and Proportion and Rates of Change | KS3
National Curriculum resources for Ratio and Proportion and Rates of Change – KS3
Scale factors, ratio and proportional reasoning
Spine 2: Multiplication and Division – Topic 2.27
Why might the word ‘ratio’ cause confusion for students learning trigonometry?
After watching how a Shanghai teacher approaches it, Gwen Tresidder reassesses her own understanding
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.
Which KS3 topic are you teaching next?
New videos, PowerPoint slides and guidance documents provide ideas and resources for teaching KS3 topics
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 5
National Curriculum resources for Multiplication and Division – Year 5
Reasoning Skills
Developing opportunities and ensuring progression in the development of reasoning skills
Multiplicative reasoning
Theme 3 comprises two core concepts: understanding multiplicative relationships; trigonometry.
Multiplication and division
Unit 5 – 4 weeks
Progression Maps for Key Stages 1 and 2
The progression maps are structured using the topic headings as they appear in the National Curriculum
November's Primary Round-up is out
Our latest Primary Round-up is now available
February’s issue of the NCETM Secondary Round-up is out
Our latest Secondary 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 mathematical representations at KS3
Guidance for some of the most useful representations for Key Stage 3 mathematics.
Planning to teach secondary maths
Videos and resources for teaching Key Stage 3 maths topics
Specialist Knowledge for Teaching Mathematics (SKTM)
For secondary non-specialists: a new Maths Hubs CPD programme for 2021/22
How variation has changed my teaching
Article by Jayne Webster, who teaches maths at Denbigh School in Milton Keynes
The Bar Model
A representation used to expose mathematical structure
Variation theory through the eyes of one secondary maths teacher
A secondary maths teacher explains how she’s incorporating elements of ‘variation theory’ into all aspects of her teaching
Multiplicative Reasoning
Lesson videos on representations in terms of the bar model and double number line are used to support reasoning and problem solving
Checkpoints
Diagnostic maths activities to help teachers develop their assessment of students' prior learning for KS3
Number | KS3
National Curriculum resources for Number – Key Stage 3
Specialist Knowledge for Teaching Mathematics - Secondary Teaching Assistants
Develop mathematical subject knowledge and pedagogy
Geometry and Measures | Key Stage 3
National Curriculum resources for Geometry and Measures – Key Stage 3
Fractions | Year 6
National Curriculum resources for Fractions – Year 6
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
Multiplicative Reasoning
A model for professional development, giving teachers the tools and resources to develop multiplicative reasoning skills in KS3 students
Teaching pie charts
How to help students do the calculations needed to construct a very familiar representation
Eight GCSE maths questions that surprised exam boards
What makes a good (or bad) GCSE question?
Useful tips for tackling multiplicative thinking
Embedding multiplicative thinking across the primary maths curriculum
Managing money starts in the maths classroom
Discover our resources to help students develop financial literacy
Time
Unit 11 – 1 week
Introducing multiplicative thinking
Building in small steps to ensure all children develop understanding early on in primary school
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
The Five Big Ideas at Secondary – Representation and Structure
What do representations look like in the secondary classroom?
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
Multiplication and Division | Year 6
National Curriculum resources for Multiplication and Division – Year 6
Secondary Archive
An archive of all Secondary Round-ups and Magazines
Measurement | Year 5
National Curriculum resources for Measurement – Year 5
Developing a comprehensive maths curriculum
Developing a school curriculum for mathematics, scheme of work and calculation policy
Multiplication and Division | Year 4
National Curriculum resources for Multiplication and Division – Year 4
Probability and Statistics | Key Stage 3
National Curriculum resources for Probability and Statistics – Key Stage 3
Algebra | Key Stage 3
National Curriculum resources for Algebra – Key Stage 3
Fractions | Year 3
National Curriculum resources for Fractions – Year 3
Maths CPD chat
#mathscpdchat, previously managed by the NCETM
Primary Archive
An archive of all Primary Round-ups and Magazines
Statistics | Year 2
National Curriculum resources for Statistics – Year 2
3.2 Trigonometry
Core concept 3.2 introduces trigonometric functions through the unit circle. Ideas of similarity, scale factor and multiplicative relationships are integrated to explore problem-solving.
Algebraic Thinking
Materials for exploring algebra with KS3 students
Two London heads on engaging with teaching for mastery
Two secondary headteachers describe how they make engaging in professional development activities a matter of policy
Algebra out and reading online maps in!
Proposed new maths GCSE resit exam
Mixed-age Curriculum
Teaching for mastery in mixed-age settings
School leader considerations
Prompts and reflections to support school leaders in thinking through what’s right for their context
Professional Development Lead Programmes
Become an NCETM accredited PD Lead
Statistics | Year 3
National Curriculum resources for Statistics – Year 3
Case studies
These case studies offer insight into two commonly-used approaches to mixed-age teaching: mixed-age split-class teaching and mixed-age whole-class teaching
Fractions | Year 4
National Curriculum resources for Fractions – Year 4
Shanghai Surprise!
An article from our Director, Charlie Stripp
Nine tips for new secondary heads of maths
How to lead a happy and successful department
Nine reasons to work with your local Maths Hub
Why get involved with the Maths Hubs Programme? Find out how it can benefit you and your school
‘Taking the ceiling off learning’ with Mastering Number
Building number sense and fluency in Reception and Key Stage 1
Bridging the gap: ensuring that all students can succeed in KS3 maths
How one North East secondary school is 'Securing Foundations at Year 7', with a new Maths Hubs project aimed at supporting all students to thrive in the maths classroom
If it’s Friday, it must be GCSE re-sit
An article from our Director, Charlie Stripp
Addition and Subtraction | Year 6
National Curriculum resources for Addition and Subtraction – Year 6
Fractions | Year 2
National Curriculum resources for Fractions – Year 2
Fractions | Year 1
National Curriculum resources for Fractions – Year 1
Why might the word ‘ratio’ cause confusion for students learning trigonometry?
After watching how a Shanghai teacher approaches it, Gwen Tresidder reassesses her own understanding
Which KS3 topic are you teaching next?
New videos, PowerPoint slides and guidance documents provide ideas and resources for teaching KS3 topics
Five ways to use our Planning to teach videos and resources
Explore ideas for lockdown learning, remote teaching and online CPD
November's Primary Round-up is out
Our latest Primary Round-up is now available
February’s issue of the NCETM Secondary Round-up is out
Our latest Secondary 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
Specialist Knowledge for Teaching Mathematics (SKTM)
For secondary non-specialists: a new Maths Hubs CPD programme for 2021/22
How variation has changed my teaching
Article by Jayne Webster, who teaches maths at Denbigh School in Milton Keynes
Variation theory through the eyes of one secondary maths teacher
A secondary maths teacher explains how she’s incorporating elements of ‘variation theory’ into all aspects of her teaching
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
Teaching pie charts
How to help students do the calculations needed to construct a very familiar representation
Eight GCSE maths questions that surprised exam boards
What makes a good (or bad) GCSE question?
Useful tips for tackling multiplicative thinking
Embedding multiplicative thinking across the primary maths curriculum
Managing money starts in the maths classroom
Discover our resources to help students develop financial literacy
Introducing multiplicative thinking
Building in small steps to ensure all children develop understanding early on in primary school
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
The Five Big Ideas at Secondary – Representation and Structure
What do representations look like in the secondary classroom?
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
Two London heads on engaging with teaching for mastery
Two secondary headteachers describe how they make engaging in professional development activities a matter of policy
Algebra out and reading online maps in!
Proposed new maths GCSE resit exam
Shanghai Surprise!
An article from our Director, Charlie Stripp
Nine tips for new secondary heads of maths
How to lead a happy and successful department
Nine reasons to work with your local Maths Hub
Why get involved with the Maths Hubs Programme? Find out how it can benefit you and your school
‘Taking the ceiling off learning’ with Mastering Number
Building number sense and fluency in Reception and Key Stage 1
Bridging the gap: ensuring that all students can succeed in KS3 maths
How one North East secondary school is 'Securing Foundations at Year 7', with a new Maths Hubs project aimed at supporting all students to thrive in the maths classroom
If it’s Friday, it must be GCSE re-sit
An article from our Director, Charlie Stripp
Ratio and proportion
Unit 9 – 2 weeks
Scale factors, ratio and proportional reasoning
Spine 2: Multiplication and Division – Topic 2.27
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.
Reasoning Skills
Developing opportunities and ensuring progression in the development of reasoning skills
Multiplicative reasoning
Theme 3 comprises two core concepts: understanding multiplicative relationships; trigonometry.
Multiplication and division
Unit 5 – 4 weeks
Progression Maps for Key Stages 1 and 2
The progression maps are structured using the topic headings as they appear in the National Curriculum
Using mathematical representations at KS3
Guidance for some of the most useful representations for Key Stage 3 mathematics.
Planning to teach secondary maths
Videos and resources for teaching Key Stage 3 maths topics
The Bar Model
A representation used to expose mathematical structure
Multiplicative Reasoning
Lesson videos on representations in terms of the bar model and double number line are used to support reasoning and problem solving
Checkpoints
Diagnostic maths activities to help teachers develop their assessment of students' prior learning for KS3
Time
Unit 11 – 1 week
3.2 Trigonometry
Core concept 3.2 introduces trigonometric functions through the unit circle. Ideas of similarity, scale factor and multiplicative relationships are integrated to explore problem-solving.
Algebraic Thinking
Materials for exploring algebra with KS3 students