In the Classroom

Materials, guidance and National Curriculum resources

How to use this section

In addition to the materials above, we also have plenty of resources to help you plan and deliver great lessons, and to assess your pupils’ knowledge and understanding. To find what you need, you can filter the resources by phase, including many right down to the year group you teach. You can also filter by resource type, and choose the right kind of resource to help with your maths teaching.

Many of these resources are also suitable for small groups of teachers to use for collaborative professional development.

Educational Phase

Key Stage
Year Group

Resource Type

Checkpoints

A year's worth of Year 7 maths activities to help teachers assess understanding and lay foundations for KS3

  • KS3
  • Secondary
  • Covid Recovery

Primary Assessment Materials

Questions, tasks and activities supporting teaching for mastery.

  • KS1
  • KS2
  • Primary
  • Year 1
  • Year 2
  • Year 3
  • Year 4
  • Year 5
  • Year 6
  • Assessment Materials

The structure of the number system

Theme 1 comprises four interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

Operating on number

Theme 2 comprises two interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

Multiplicative reasoning

Theme 3 comprises two interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.

  • KS3
  • Secondary
  • Mastery PD Materials

Marking Guidance

Guidance documents to enable effective marking and feedback

  • Primary
  • Secondary
  • Guidance

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.

  • KS3
  • Secondary
  • Mastery PD Materials

Progression Maps for Key Stage 3

The progression maps are structured using the topic headings as they appear in the National Curriculum

  • KS3
  • Secondary
  • Progression Maps

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.

  • KS3
  • Secondary
  • Mastery PD Materials

Sequences and graphs

Theme 4 comprises two interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

Statistics and probability

Theme 5 comprises three interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

5.1 Statistical representations and measures

Core concept 5.1 covers measures of central tendency, work with grouped data and measures of spread, as well as the construction of scatter graphs and pie charts.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

Geometry

Theme 6 comprises four interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.

  • KS3
  • Secondary
  • Mastery PD Materials

The Bar Model

A representation used to expose mathematical structure

  • KS1
  • KS2
  • Primary
  • Guidance

6.1 Geometrical properties

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

  • KS3
  • Secondary
  • Mastery PD Materials

Research study modules

Ten study modules enabling you to access, understand and engage with academic research articles

  • Post-16
  • Secondary

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.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

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.

  • KS3
  • Secondary
  • Mastery PD Materials

Why Mastery Readiness isn't just 'mastery-lite'!

The Mastery Readiness Programme enables schools to put in place structures, systems and positive mathematical culture so they can successfully engage in teaching for mastery

  • KS1
  • KS2
  • Primary
  • Case Study

Departmental Workshops

Collaborative CPD sessions for maths departments or other groups of secondary teachers

  • KS3
  • Secondary

Multiplication

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

  • KS1
  • KS2
  • Primary
  • Classroom Videos

Subtraction

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

  • KS2
  • Primary
  • Classroom Videos

Perimeter

Unit 3 – 2 weeks

  • KS2
  • Primary
  • Year 4
  • Covid Recovery

Number Facts

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

  • KS1
  • KS2
  • Primary
  • Classroom Videos

Number and Place Value

Lesson videos on children developing understanding and fluency with number

  • KS1
  • KS2
  • Primary
  • Classroom Videos

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

  • KS1
  • KS2
  • KS3
  • Primary
  • Classroom Videos

Fractions

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

  • KS1
  • KS2
  • KS3
  • Primary
  • Classroom Videos

Money

Unit 2 – 2 weeks

  • KS2
  • Primary
  • Year 5
  • Covid Recovery

Algebra

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

  • KS1
  • KS2
  • KS3
  • Primary
  • Classroom Videos

Multiplicative Reasoning

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

  • KS1
  • KS2
  • KS3
  • Primary
  • Classroom Videos

Reasoning Skills

Developing opportunities and ensuring progression in the development of reasoning skills

  • KS1
  • KS2
  • Primary
  • Progression Maps

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

  • KS2
  • Primary
  • Year 6
  • Classroom Videos

Year 2 Shanghai showcase lesson

Ms Lynn, part of the the England–China exchange, leads a Year 2 lesson at Tubbenden Primary School

  • KS2
  • Primary
  • Year 5
  • Classroom Videos

Year 5 Shanghai showcase lesson

Ms Dai, part of the the England–China exchange, leads a Year 5 lesson at Tubbenden Primary School

  • KS2
  • Primary
  • Year 5
  • Classroom Videos

Right angles

Unit 3 – 2 weeks

  • KS2
  • Primary
  • Year 3
  • Covid Recovery

Times tables: 11 and 12

Spine 2: Multiplication and Division – Topic 2.11

  • KS2
  • Primary
  • Year 4
  • Mastery PD Materials

Cardinality and Counting

Understanding that the cardinal value of a number refers to the quantity, or ‘howmanyness’ of things it represents

  • Early Years
  • Early Years Materials

Comparison

Understanding that comparing numbers involves knowing which numbers are worth more or less than each other

  • Early Years
  • Early Years Materials

Composition

Understanding that one number can be made up from (composed from) two or more smaller numbers

  • Early Years
  • Early Years Materials

Pattern

Looking for and finding patterns helps children notice and understand mathematical relationships

  • Early Years
  • Early Years Materials

Shape and Space

Understanding what happens when shapes move, or combine with other shapes, helps develop wider mathematical thinking

  • Early Years
  • Early Years Materials

Measures

Comparing different aspects such as length, weight and volume, as a preliminary to using units to compare later

  • Early Years
  • Early Years Materials

Numberblocks at home

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

  • Early Years

Post-16 resources

Materials, podcasts, blogs and links for post-16 maths teaching and learning

  • Post-16

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