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Primary video lessons

Developed for use during school closures, these videos will also be useful for Covid recovery

Number

Self-audit questions for a teacher to assess confidence in the teaching of number in KS1 and KS2

Additive reasoning

Self-audit questions for a teacher to assess confidence in the teaching of additive reasoning in KS1 and KS2

Multiplicative reasoning

Self-audit questions for a teacher to assess confidence in the teaching of multiplicative reasoning in KS1 and KS2

Subtraction

Lesson videos on elements of progression in subtraction in Key Stage 2

Multiplication

Lesson videos on elements of progression in multiplication across the primary school

Algebra

Lesson videos addressing the demands of the New Curriculum to introduce formal algebra into KS2

Number Facts

Lesson videos on number facts for all four operations of addition, subtraction, multiplication and division

Queen Katharine Academy

The headteacher and second in maths at a Peterborough secondary school explain how introducing teaching for mastery has produced 'priceless' benefits

Fractions

Lesson videos addressing the ability to develop a secure understanding and calculate with fractions

Sheldon School

An interview with Neil Spurdell and Nicola Scott, senior leaders from Sheldon School in Chippenham, Wiltshire

Falinge Park High School

An interview with Paula O'Reilly, Sarah-Jane York and Sylwia Glazewska, Falinge Park High School

Coleridge Primary School

An interview with Ben Strange and Louise Foulkes, deputy and assistant heads of Coleridge Primary School

Two east London heads

Heads of two neighbouring east London secondary schools explain how their schools have benefited from engagement with their local Maths Hub

Multiplicative Reasoning

Lesson videos on representations in terms of the bar model and double number line are used to support reasoning and problem solving

Sir Robert Woodard Academy

An interview with Kieran Scanlon and Natasha Corrigan, senior leaders from Sir Robert Woodard Academy, Lancing, Sussex

6.1 Geometrical properties

Core concept 6.1 covers angle facts and the geometry of intersecting lines, similarity and congruence, and Pythagoras’ theorem.

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.

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.

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.

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.

6.4 Constructions

Core concept 6.4 explores: triangles of given lengths; a perpendicular bisector of a line segment; a perpendicular to a given line through a given point; an angle bisector.

NCETM Newsletter - June 2020

Learning in lockdown: support for teaching and learning from the NCETM, including new primary video lessons, plus support available from elsewhere, and more

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

NCETM Newsletter - April 2020

Learning in lockdown: support for teaching and learning from the NCETM, including new primary video lessons, plus support available from elsewhere, and more

6.2 Perimeter, area and volume

Core concept 6.2 covers how the formulae for perimeter, area and volume are derived and connected, and the importance of reasoning mathematically to solve a range of problems.

5.2 Statistical analysis

Core concept 5.2 explores making informed choices about which statistical analysis and representation to use for different types of data, as well as the effect on interpretation.

1.2 Properties of number

Core concept 1.2 focuses on factors, multiples and primes, exploring various representations to support understanding of highest common factors and lowest common multiples.

4.1 Sequences

Core concept 4.1 covers sequences through exploration of the mathematical structure. It also introduces the idea of the nth term of a linear sequence.

Checkpoints

Diagnostic maths activities to help teachers develop their assessment of students' prior learning for KS3

The gap tasks

Four suggested gap tasks, each associated with a workshop phase

6.3 Transforming shapes

Core concept 6.3 introduces translation, rotation, reflection and enlargement. It explores the degrees of freedom available, in terms of what does and doesn’t vary for each one.

5.3 Probability

Core concept 5.3 introduces probability as a way to quantify, explore and explain likelihood and coincidence, and to reason about uncertainty.

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.

4.2 Graphical representations

Core concept 4.2 introduces x- and y-coordinates as input and output of a function. It explores linear and quadratic functions, and how linear graphs can solve simultaneous equations.

Learning in Lockdown 5 – Nick Edwards

A secondary Director of Maths reflects on how his experience of supporting students through the Grenfell tragedy has informed his current approach to teaching

Numberblocks at home

Resources to accompany the CBeebies Numberblocks series, designed for parents to use at home with children

NCETM Newsletter - May 2020

Support for maths learning and teaching during school closures, Primary and Secondary Mastery Specialist recruitment, and other opportunities for 2020/21

Working with the materials

Teachers describe how they have used the Primary Mastery Professional Development Materials in their own schools and classrooms

Textbooks

High quality textbooks can support teaching for mastery

School leaders

Information for school leaders about free professional development

Maths anxiety

Associate Professor at the University of Warwick, Sue Johnston-Wilder, discusses the prevalence of anxiety in our maths classrooms

Completing the square

What is the square that is being completed? Algebra tiles can be moved around to represent this manipulation - particularly with students familiar with area models of multiplication from KS3.

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

Time

Unit 11 – 2 weeks

Ten years of the Maths Hubs Programme

A celebration of the achievements made across ten years by England’s 40 Maths Hubs, supporting teachers and schools to improve maths teaching and learning

Number | KS3

National Curriculum resources for Number – Key Stage 3

NCETM Newsletter - June 2020

Learning in lockdown: support for teaching and learning from the NCETM, including new primary video lessons, plus support available from elsewhere, and more

NCETM Newsletter - April 2020

Learning in lockdown: support for teaching and learning from the NCETM, including new primary video lessons, plus support available from elsewhere, and more

Learning in Lockdown 5 – Nick Edwards

A secondary Director of Maths reflects on how his experience of supporting students through the Grenfell tragedy has informed his current approach to teaching

NCETM Newsletter - May 2020

Support for maths learning and teaching during school closures, Primary and Secondary Mastery Specialist recruitment, and other opportunities for 2020/21

Maths anxiety

Associate Professor at the University of Warwick, Sue Johnston-Wilder, discusses the prevalence of anxiety in our maths classrooms

Completing the square

What is the square that is being completed? Algebra tiles can be moved around to represent this manipulation - particularly with students familiar with area models of multiplication from KS3.

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

Ten years of the Maths Hubs Programme

A celebration of the achievements made across ten years by England’s 40 Maths Hubs, supporting teachers and schools to improve maths teaching and learning

Number

Self-audit questions for a teacher to assess confidence in the teaching of number in KS1 and KS2

Additive reasoning

Self-audit questions for a teacher to assess confidence in the teaching of additive reasoning in KS1 and KS2

Multiplicative reasoning

Self-audit questions for a teacher to assess confidence in the teaching of multiplicative reasoning in KS1 and KS2

Subtraction

Lesson videos on elements of progression in subtraction in Key Stage 2

Multiplication

Lesson videos on elements of progression in multiplication across the primary school

Algebra

Lesson videos addressing the demands of the New Curriculum to introduce formal algebra into KS2

Number Facts

Lesson videos on number facts for all four operations of addition, subtraction, multiplication and division

Fractions

Lesson videos addressing the ability to develop a secure understanding and calculate with fractions

Multiplicative Reasoning

Lesson videos on representations in terms of the bar model and double number line are used to support reasoning and problem solving

6.1 Geometrical properties

Core concept 6.1 covers angle facts and the geometry of intersecting lines, similarity and congruence, and Pythagoras’ theorem.

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.

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.

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.

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.

6.4 Constructions

Core concept 6.4 explores: triangles of given lengths; a perpendicular bisector of a line segment; a perpendicular to a given line through a given point; an angle bisector.

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

6.2 Perimeter, area and volume

Core concept 6.2 covers how the formulae for perimeter, area and volume are derived and connected, and the importance of reasoning mathematically to solve a range of problems.

5.2 Statistical analysis

Core concept 5.2 explores making informed choices about which statistical analysis and representation to use for different types of data, as well as the effect on interpretation.

1.2 Properties of number

Core concept 1.2 focuses on factors, multiples and primes, exploring various representations to support understanding of highest common factors and lowest common multiples.

4.1 Sequences

Core concept 4.1 covers sequences through exploration of the mathematical structure. It also introduces the idea of the nth term of a linear sequence.

Checkpoints

Diagnostic maths activities to help teachers develop their assessment of students' prior learning for KS3

6.3 Transforming shapes

Core concept 6.3 introduces translation, rotation, reflection and enlargement. It explores the degrees of freedom available, in terms of what does and doesn’t vary for each one.

5.3 Probability

Core concept 5.3 introduces probability as a way to quantify, explore and explain likelihood and coincidence, and to reason about uncertainty.

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.

4.2 Graphical representations

Core concept 4.2 introduces x- and y-coordinates as input and output of a function. It explores linear and quadratic functions, and how linear graphs can solve simultaneous equations.

Numberblocks at home

Resources to accompany the CBeebies Numberblocks series, designed for parents to use at home with children

Time

Unit 11 – 2 weeks