Mathematics
Lesson and unit plans, assessment tools and resources to support your use of the mathematics framework and help children secure levels and overcome barriers across Key Stages 1 and 2.
In this section

Mathematics Framework
This set of learning objectives, planning ideas, teaching overviews, and resources can be adapted to help children develop and progress throughout Key Stages 1 and 2.

APP in mathematics
Examples of marked work (Standards Files and training Standards Files) that use Assessment Focuses (AFs) to help you make level judgements when Assessing Pupils' Progress (APP).

Securing levels in mathematics
Standards, attainment levels, goals and approaches you can use to help pupils secure levels 1 to 5 in mathematics.

Developing pedagogy in mathematics
Study units and focused materials to help you gain a deeper understanding of mathematical pedagogy and enhance children's knowledge of key mathematical concepts.

Moving on in mathematics
Subject leaders and teachers can use these resources and ideas to help them identify gaps in learning and secure pupils' learning in mathematics.

Overcoming Barriers
Support, advice and identified learning targets across the mathematical strands to help children progress to level 2 in mathematics by the end of Year 2.

Pitch and expectations
A set of publications, from foundation stage to Year 7, focused on helping you to identify levels of learning and plan your teaching to meet the needs of your classroom.
Mathematics topics

Year 1 mathematics planning
The planning structure for Year 1 is organised into five blocks:

Year 1: Progression in mathematics
Head teachers, deputy heads, subject leaders and teachers can use these overviews to inform planning, help communicate the curriculum and support the monitoring and evaluation of children’s learning in mathematics. Progression in mathematics is a core part of the Primary Framework.

Year 1 Block A: Counting, partitioning and calculating
Use the learning objectives, prior learning, vocabulary and units within Block A: Counting, partitioning and calculating to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 1 of the Primary Framework for mathematics.

Year 1 Block B: Securing number facts, understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block B: Securing number facts, understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 1 of the Primary Framework for mathematics.

Year 1 Block C: Handling data and measures
Use the learning objectives, prior learning, vocabulary and units within Block C: Handling data and measures to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 1 of the Primary Framework for mathematics.

Year 1 Block D: Calculating, measuring and understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block D: Calculating, measuring and understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 1 of the Primary Framework for mathematics.

Year 1 Block E: Securing number facts, relationships and calculating
Use the learning objectives, prior learning, vocabulary and units within Block E: Securing number facts, relationships and calculating to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 1 of the Primary Framework for mathematics.


Year 2 mathematics planning
Illustration of how the planning structure for Year 2 mathematics is organised, showing the five blocks and units within them, and explanation of how the objectives from the Primary Framework have been applied. Links to the core learning in mathematics in the 1999 Framework and the National Curriculum 2000.

Year 2 Progression in mathematics
Head teachers, deputy heads, subject leaders and teachers can use these overviews to inform planning, help communicate the curriculum and support the monitoring and evaluation of children’s learning in mathematics. Progression in mathematics is a core part of the Primary Framework.

Year 2 Block A: Counting, partitioning and calculating
Use the learning objectives, prior learning, vocabulary and units within Block A: Counting, partitioning and calculating to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 2 of the Primary Framework for mathematics.

Year 2 Block B: Securing number facts, understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block B: Securing number facts, understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 2 of the Primary Framework for mathematics.

Year 2 Block C: Handling data and measures
Use the learning objectives, prior learning, vocabulary and units within Block C: Handling data and measures to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 2 of the Primary Framework for mathematics.

Year 2 Block D: Calculating, measuring and understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block D: Calculating, measuring and understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 2 of the Primary Framework for mathematics.

Year 2 Block E: Securing number facts, relationships and calculating
Use the learning objectives, prior learning, vocabulary and units within Block E: Securing number facts, relationships and calculating to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 2 of the Primary Framework for mathematics.


Year 3 mathematics planning
Illustration of how the planning structure for Year 3 mathematics is organised, showing the five blocks and units within them, and explaining how the objectives from the Primary Framework have been applied. Links to the core learning in mathematics in the 1999 Framework and the National Curriculum 2000 are also provided.

Year 3 Progression in mathematics
Head teachers, deputy heads, subject leaders and teachers can use these overviews to inform planning, help communicate the curriculum and support the monitoring and evaluation of children’s learning in mathematics. Progression in mathematics is a core part of the Primary Framework.

Year 3 Block A: Counting, partitioning and calculating
Use the learning objectives, prior learning, vocabulary and units within Block A: Counting, partitioning and calculating to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 3 of the Primary Framework for mathematics.

Year 3 Block B: Securing number facts, understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block B: Securing number facts, understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 3 of the Primary Framework for mathematics.

Year 3 Block C: Handling data and measures
Use the learning objectives, prior learning, vocabulary and units within Block C: Handling data and measures to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 3 of the Primary Framework for mathematics.

Year 3 Block D: Calculating, measuring and understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block D: Calculating, measuring and understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 3 of the Primary Framework for mathematics.

Year 3 Block E: Securing number facts, relationships and calculating
Use the learning objectives, prior learning, vocabulary and units within Block E: Securing number facts, relationships and calculating to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 3 of the Primary Framework for mathematics.


Year 4 mathematics planning
Planning structure for Year 4 Mathematics, divided into 5 blocks and each block is designed to cover the equivalent of 6 to 9 weeks of teaching. The blocks are: Block A  Counting, partitioning and calculating, Block B  Securing number facts, understanding shape, Block C  Handling data and measures, Block D:  Calculating, measuring and understanding shape, Block E:  Securing number facts, relationships and calculating.

Year 4 Progression in mathematics
Head teachers, deputy heads, subject leaders and teachers can use these overviews to inform planning, help communicate the curriculum and support the monitoring and evaluation of children’s learning in mathematics. Progression in mathematics is a core part of the Primary Framework.

Year 4 Block A: Counting, partitioning and calculating
Use the learning objectives, prior learning, vocabulary and units within Block A: Counting, partitioning and calculating to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 4 of the Primary Framework for mathematics.

Year 4 Block B: Securing number facts, understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block B: Securing number facts, understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 4 of the Primary Framework for mathematics.

Year 4 Block C: Handling data and measures
Use the learning objectives, prior learning, vocabulary and units within Block C: Handling data and measures to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 4 of the Primary Framework for mathematics.

Year 4 Block D: Calculating, measuring and understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block D: Calculating, measuring and understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 4 of the Primary Framework for mathematics.

Year 4 Block E: Securing number facts, relationships and calculating
Use the learning objectives, prior learning, vocabulary and units within Block E: Securing number facts, relationships and calculating to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 4 of the Primary Framework for mathematics.


Year 5 mathematics planning
Planning structure for Year 5 Block A: Counting, partitioning and calculating (6 weeks) Block B: Securing number facts, understanding shape (9 weeks)

Year 5 Progression in mathematics
Head teachers, deputy heads, subject leaders and teachers can use these overviews to inform planning, help communicate the curriculum and support the monitoring and evaluation of children’s learning in mathematics. Progression in mathematics is a core part of the Primary Framework.

Year 5 Block A: Counting, partitioning and calculating
Use the learning objectives, prior learning, vocabulary and units within Block A: Counting, partitioning and calculating to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 5 of the Primary Framework for mathematics.

Year 5 Block B: Securing number facts, understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block B: Securing number facts, understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 5 of the Primary Framework for mathematics.

Year 5 Block C: Handling data and measures
Use this checklist to review and help plan your teaching and children’s learning across Block C: Handling data and measures. This is one of five blocks within Year 5 of the Primary Framework for mathematics.

Year 5 Block D: Calculating, measuring and understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block D: Calculating, measuring and understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 5 of the Primary Framework for mathematics.

Year 5 Block E: Securing number facts, relationships and calculating
Use the learning objectives, prior learning, vocabulary and units within Block E: Securing number facts, relationships and calculating to help support your planning, teaching and assessment of children's learning. This is one of five blocks within Year 5 of the Primary Framework for mathematics.


Year 6 mathematics planning
Planning structure for Year 6 Block A: Counting, partitioning and calculating (6 weeks) Block B: Securing number facts, understanding shape (9 weeks) Block C: Handling data and measures (6 weeks)

Year 6 Progression in mathematics
Head teachers, deputy heads, subject leaders and teachers can use these overviews to inform planning, help communicate the curriculum and support the monitoring and evaluation of children’s learning in mathematics. Progression in mathematics is a core part of the Primary Framework.

Year 6 Block A: Counting, partitioning and calculating
Use the learning objectives, prior learning, vocabulary and units within Block A: Counting, partitioning and calculating to help support your planning, teaching and assessment of children's learning. This is one of five blocks within Year 6 of the Primary Framework for mathematics.

Year 6 Block B: Securing number facts, understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block B: Securing number facts, understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 6 of the Primary Framework for mathematics.

Year 6 Block C: Handling data and measures
Use the learning objectives, prior learning, vocabulary and units within Block C: Handling data and measures to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 6 of the Primary Framework for mathematics.

Year 6 Block D: Calculating, measuring and understanding shape
Use the learning objectives, prior learning, vocabulary and units within Block D: Calculating, measuring and understanding shape to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 6 of the Primary Framework for mathematics.

Year 6 Block E: Securing number facts, relationships and calculating
Use the learning objectives, prior learning, vocabulary and units within Block E: Securing number facts, relationships and calculating to help support your planning, teaching and assessment of children’s learning. This is one of five blocks within Year 6 of the Primary Framework for mathematics.


APP mathematics standards files
These examples show children’s work at different levels of mathematics (standards files). There are also training standards files, which follow the same form without the attainment targets, assessment summaries and guidelines. Use the files to guide judgements about pupils’ levels as part of Assessing Pupils’ Progress (APP) in mathematics.

Mathematics training standards file: David
Exemplar Assessing Pupils' Progress (APP) mathematics standards file. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's notes on each focus are included.

Mathematics training standards file: Darren
Exemplar Assessing Pupils' Progress (APP) mathematics standards file. llustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's notes on each focus are included.

Mathematics training standards file: Peter
Exemplar Assessing Pupils' Progress (APP) mathematics standards file. llustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's notes on each focus are included.

Mathematics training standards file: Polly
Exemplar Assessing Pupils' Progress (APP) mathematics standards file. llustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's notes on each focus are included.

Mathematics training standards file: Louise
Exemplar Assessing Pupils' Progress (APP) mathematics standards file. llustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's notes on each focus are included.

APP mathematics standards file: Babigail (Year 1 below level 1)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 1 child working at below level 1. llustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Charlotte (Year 1 high level 1)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 1 child working at high level 1. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Jaiman (Year 2 high level 1)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 2 child working at high level 1. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Lydia (Year 1 secure level 1)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 1 child working at secure level 1. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: David (Year 3 high level 2)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 3 child working at high level 2. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Bradley (Year 1 secure level 2)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 1 child working at secure level 2. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Daniel (Year 1 secure level 2)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 1 child working at secure level 2. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Paulo (Year 3, high level 2)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 3 child working at high level 2. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Hannah (Year 2 secure level 2)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 2 child working at secure level 2. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Ben (Year 2 low level 2)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 2 child working at low level 2. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Darren (Year 5, secure level 3)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 5 child working at secure level 3. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: John (Year 5, high level 3)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 5 child working at high level 3. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Saleema (Year 4, secure level 3)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 4 child working at secure level 3. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Daniel (Year 3, low level 3)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 3 child working at low level 3. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Harjeev (Year 2 low level 3)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 2 child working at low level 3. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Greg (Year 4, secure level 3)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 4 child working at secure level 3. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Kate (Year 5, secure level 4)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 5 child working at secure level 4. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Peter (Year 5, low level 4)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 5 child working at low level 4. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Polly (Year 6, high level 4)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 6 child working at high level 4. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Sachin (Year 6, secure level 5)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 6 child working at secure level 5. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Louise (Year 6, low level 5)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 6 child working at low level 5. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.

APP mathematics standards file: Rebecca (Year 6, high level 5)
Exemplar Assessing Pupils' Progress (APP) mathematics standards file showing the assessment for a Year 6 child working at high level 5. Illustrated examples of the child's work for assessment focuses (AFs) Ma1 to Ma4 and the teacher's assessment of each focus are included.


Addition and subtraction facts
Ideas for planning and teaching guided activities to enable children to know addition and subtraction facts for each number to 20 and quickly derive all pairs of multiples of 5 that total 100.

Calculating missing angles
Ideas for planning and teaching guided activities to enable children to calculate angles in a triangle and around a point, with key questions and suggested prompts.

Calculating perimeters and areas of rectangles
Ideas for planning and teaching guided activities to enable children to find the perimeters and areas of rectangles by counting squares, and to begin to use the formula in words for the area of a rectangle.