Developing Fluency with Multiplicative Reasoning at KS3

Multiplicative Reasoning is a fundamental element of the Key Stage 3 mathematics curriculum, and an important foundation for much of the Key Stage 4 content


Who can take part?

The intended participants nominated by their schools are teachers working with Key Stage 3 students, who want to improve their own practice and begin to develop practice within their department.

It is suitable for both experienced and novice teachers.

A pair of participant teachers from each school will join a Work Group; the pair should comprise at least one experienced teacher.


What is involved?

• NCP25-13a will focus on Year 7 content; this Work Group is available to all state-funded secondary schools.

• NCP25-13b will focus on Year 8 content; this Work Group is available to schools which participated in NCP24-14b Developing Fluency with Multiplicative Reasoning in Key Stage 3 (Year 7) in Academic Year 2024/25.

Participants are expected to attend the equivalent of three full days of workshops, and to complete school-based tasks between sessions.

Workshops will be a blend of national and local sessions, and online and in-person provision.

The centrally produced resources are designed to support effective teaching of Multiplicative Reasoning through a series of core structures, laying foundations in Year 7 and then building on these within the Year 8 resources.

The resources comprise both classroom-facing slides and teacher guidance. Participants who actively engage with the teacher guidance and supporting materials will benefit most.

Teachers are encouraged to generalise the pedagogical strategies they explore as part of this project, and embed them in their practice more widely, to meet the needs of all students.

For all participant schools there is also an expectation that the subject leader participates in a subject leader community (NCP25-15).


What are the intended outcomes?

Student outcomes

Students will:

  • develop a deep and connected understanding of multiplicative reasoning
  • reason, think and communicate mathematically as part of their normal experience in maths lessons
  • develop confidence and fluency with multiplicative reasoning.

Practice development

Participants will:

  • develop classroom practices aligned to those in the NCETM’s Essence of Mathematics Teaching for Mastery
  • develop pedagogical approaches to teaching multiplicative reasoning, built on conceptual understanding
  • consider approaches which support all students to reason mathematically and develop a deep and connected understanding of the maths they are learning.

Professional learning

Participants and their departments will:

  • work as part of a professional learning community to reflect on their approaches, deepen their understanding about effective approaches, and refine their practice
  • develop an understanding of pedagogic approaches consistent with teaching for mastery
  • develop an understanding of multiplicative reasoning and structures within KS3
  • share their knowledge and understanding with appropriate members of their department

What is the cost?

The Developing Fluency with Multiplicative Reasoning at KS3 Work Group project is fully funded by the Maths Hubs Programme so is free to participating schools.

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How can I get involved?

To reserve your place on this work group during 25/26, please complete the form below and we will be in touch to confirm your place, subject to availability, when we have further details.

Developing Fluency with Multiplicative Reasoning at KS3 25/26