In the Classroom

Materials, guidance and National Curriculum resources

Find what you’re after, and more!

This is where the resources are to help you plan and teach great maths lessons, and to assess your pupils’ knowledge and understanding. Simply use the filter options on this page, if necessary right down to the year group you teach or specific type of resource you’re looking for. Many of the resources here are also suitable for collaborative professional development discussions among small groups of teachers.

If you don’t find what you’re looking for in this section, you can use the main ‘search’ function via the magnifying glass at the top of the page to look across the entire website, which includes the National Curriculum Resource Tool and our Early Years section.

Educational Phase

Key Stage
Year Group

Resource Type

Mastery PD Materials

Checkpoints

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

  • KS3
  • Secondary
  • Curriculum

KS3 key ideas exemplified

A series of 52 PowerPoints containing activities and professional development stimuli based on key ideas from the core concepts explored in the KS3 PD materials

  • KS3
  • Secondary
  • Mastery PD Materials

Algebraic Thinking

Materials for exploring algebra with KS3 students

  • Algebra
  • KS3
  • Secondary
  • Assessment Materials

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

Departmental Workshops

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

  • KS3
  • Secondary

Marking Guidance

Guidance documents to enable effective marking and feedback

  • Primary
  • Secondary
  • Guidance

Research study modules

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

  • Post-16
  • Primary
  • Secondary

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.

  • KS3
  • Secondary
  • Mastery PD Materials

Operating on number

Theme 2 comprises two core concepts: arithmetic procedures; solving linear equations.

  • KS3
  • Secondary
  • Mastery PD Materials

Multiplicative reasoning

Theme 3 comprises two core concepts: understanding multiplicative relationships; trigonometry.

  • KS3
  • Secondary
  • Mastery PD Materials

Sequences and graphs

Theme 4 comprises two core concepts: sequences; graphical representations.

  • KS3
  • Secondary
  • Mastery PD Materials

Statistics and probability

Theme 5 comprises three core concepts: statistical representations and measure; statistical analysis; probability.

  • KS3
  • Secondary
  • Mastery PD Materials

Geometry

Theme 6 comprises four core concepts: geometrical properties; perimeter, area and volume; transforming shapes; constructions.

  • 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

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

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

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

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

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

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

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

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

6.3 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

6.4 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

The Bar Model

A representation used to expose mathematical structure

  • KS1
  • KS2
  • Primary
  • Guidance

Shape

Unit 7 – 2 weeks

  • KS1
  • Primary
  • Year 2
  • Curriculum

Money

Unit 9 – 1 week

  • KS1
  • Primary
  • Year 2
  • Curriculum

Fractions

Unit 10 – 2 weeks

  • KS1
  • Primary
  • Year 2
  • Curriculum

Time

Unit 11 – 1 week

  • KS1
  • Primary
  • Year 2
  • Curriculum

Right angles

Unit 3 – 2 weeks

  • KS2
  • Primary
  • Year 3
  • Curriculum

Perimeter

Unit 3 – 2 weeks

  • KS2
  • Primary
  • Year 4
  • Curriculum

Coordinates

Unit 7 – 2 weeks

  • KS2
  • Primary
  • Year 4
  • Curriculum

Money

Unit 2 – 2 weeks

  • KS2
  • Primary
  • Year 5
  • Curriculum

Fractions

Unit 8 – 7 weeks

  • KS2
  • Primary
  • Year 5
  • Curriculum

Angles

Unit 10 - 3 weeks

  • KS2
  • Primary
  • Year 5
  • Curriculum

Statistics

Unit 8 – 1 week

  • KS2
  • Primary
  • Year 6
  • Curriculum

Mean average

Unit 13 – 1 week

  • KS2
  • Primary
  • Year 6
  • Curriculum

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

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

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

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

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
  • Early Years Materials

Time

Unit 11 – 1 week

  • KS2
  • Primary
  • Year 4
  • Curriculum

Time

Unit 11 – 1 week

  • KS2
  • Primary
  • Year 3
  • Curriculum

Time

Unit 11 – 2 weeks

  • KS1
  • Primary
  • Year 1
  • Curriculum

Number

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

  • KS1
  • KS2
  • Primary
  • Mastery PD Materials

Additive reasoning

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

  • KS1
  • KS2
  • Primary
  • Mastery PD Materials

Multiplicative reasoning

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

  • KS1
  • KS2
  • Primary
  • Mastery PD Materials

Fractions

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

  • KS1
  • KS2
  • Primary
  • Mastery PD Materials

Using and applying numerical structure

Theme 7 comprises two core concepts: using structure to calculate and estimate; using structure to transform and evaluate expressions.

  • KS4
  • Secondary
  • Mastery PD Materials

7.1 Using structure to calculate and estimate

Core concept 7.1 focuses on understanding different representations of number and using the structure of the number system to make appropriate estimations.

  • KS4
  • Secondary
  • Mastery PD Materials
  • Theme 7
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