Maths subject knowledge: proportional reasoning NE204 / C20

4 Weeks
Learning Method
Online Delivered CPD


Online, self-paced course. Proportional reasoning, and the use of ratios, is required across different areas of the mathematics curriculum. It is essential to many areas of science and technology and is used in a range of real-world situations in both life and work.
On this course you will explore a number of different mathematical strategies to enable you to solve proportional reasoning problems. Discover how seemingly unrelated mathematical problems are related to the same underlying structure. Understand how being fluent in the ideas of proportional reasoning opens the door to a deeper understanding of the rules and procedures involved, and how these methods work. 

Who is it for?

This course is designed specifically for teachers and educators who do not have a specialism in mathematics, but wish to learn mathematical methods and improve their understanding. This course is suitable for: new teachers, student teachers or people just about to start their teaching career who are interested in increasing their mathematical subject knowledge; inexperienced teachers of mathematics for whom mathematics was not a major part of their degree; non-specialist teachers of mathematics whose expertise lies elsewhere; parents wishing to support their children.

What topics are covered?

This four week course covers:
  • proportional reasoning.
  • ratios.
  • applications of proportional reasoning.
  • taking proportional reasoning further.

How will you learn?

This online, self-paced course can be completed flexibly. Participants can join and start this course at any time after the advertised date. Find out how our online CPD works.

How long is this course?

This course takes around three hours per week to complete and you do not need to be online at any specific time. You can take the course at your own pace.

Who is the course leader?


By the end of this course, you will be able to:

  • identify problems that can be solved using proportional reasoning.
  • solve problems of scaling up and scaling down using the unitary method.
  • solve problems of ratio with two and three quantities.
  • apply proportional reasoning to conversion and compound measure problems.
  • apply proportional reasoning to scaling of area and volume.


Maths subject knowledge: proportional reasoning17 May 202100:00-00:00


Group enrolments: If you are a school, college or MAT and wish to arrange payment by invoice for 25 or more participants, please contact quoting the course code, title and start date.

FutureLearn terms and conditions: This course is hosted on the FutureLearn social learning platform and you will need to create an account if you do not already have one. 

In addition to STEM Learning Terms and Conditions, by booking on this course you are consenting to your details being shared with FutureLearn under their Terms and Conditions for Invited Learners. By booking onto this course, you agree that your information will be held by FutureLearn and National STEM Learning Centre as data controllers in common, and your progress on this course will be monitored by STEM Learning.

If you have booked in advance of the course being available, you will receive access to the course on FutureLearn no later than the course start date.

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State-funded school or collegeActivity fee£30.00
Fee-paying school or college (independent)Activity fee£60.00

Additional information

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