News & Features

Our latest news, features and podcasts

NCETM Newsletter - May 2024
Over 30 fully-funded projects across all phases are on offer from Maths Hubs for 2024/25 - get involved!

Learn more

Maths associations and why it’s good to be a member
Why you should join a maths education professional association

Learn more

All News & Features
Professional Development

Professional Development
Discover ways to develop your practice and pedagogy, and that of your school or department

Learn more

CPD Opportunities Work Groups Maths Hubs Projects LLME

CPD Materials Primary Mastery Materials Secondary Mastery Materials
In the Classroom

In the classroom
Materials, guidance and national curriculum resources This is where the resources are to help you plan and teach great maths lessons, and to assess your pupils’ knowledge and understanding.

Learn more

All classroom resources
Teaching for Mastery

Teaching for Mastery
Discover what teaching for mastery means and how to get involved

Learn more

Mastery Explained Mastery Materials Mastery Magnified
Maths Hubs

Maths Hubs
Leading improvement in maths education across England

Learn more

Trusts working with Maths Hubs What Maths Hubs are doing Find your Hub

Additive reasoning

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

Primary KS1 KS2

Mastery PD Materials

A secure understanding of additive reasoning supports pupils in taking their first steps in calculation. This page contains links to seven ‘question documents,’ each helping teachers to assess their confidence in a specific aspect of this area of maths.

All question documents for this area are available as a single zip file download after the individual questions. At the bottom of this page you can find a series of short videos giving advice on how some of the topics might be handled in the classroom.

Question 1

How confident are you that you understand and can support children to use a part-part-whole model, to explain the structures of aggregation (addition) and partitioning (subtraction)?

Question 2

How confident are you that you understand and can support children to use a first, then and now story to explore the structures of augmentation (addition) and reduction (subtraction)?

Question 3

How confident are you that you understand and can support children to use finding the difference as a model for comparison?

Question 4

How confident are you that you understand and can support children to explain commutative and associative laws and the importance they play in additive reasoning?

Question 5

How confident are you that you understand and can support children to use and apply a range of mental strategies to support efficient calculation?

Question 6

How confident are you that you understand and can support children to use manipulatives when developing a written algorithm for addition?

Question 7

How confident are you that you understand and can support children to explore different written algorithms for subtraction?

Question 8

How confident are you that you understand and can support children to select appropriate and efficient strategies, dependent on context?

Question 9

How confident are you that you understand and can support children to calculate with negative numbers?

Question 10

How confident are you that you understand and can support children to develop strategies for solving problems with two unknowns?

All question documents for this area