• NATIONAL STEM LEARNING CENTRE

Maths Subject Knowledge: Proportion, Ratio and Scaling

Learn how to solve proportional reasoning problems and apply them to real-world contexts and STEM subjects.

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Maths Subject Knowledge: Proportion, Ratio and Scaling
The CPD Certification Service

This course has been certified by the CPD Certification Service as conforming to continuing professional development principles. Find out more.

Subject knowledge for teachers and educators without a maths background

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 situations in both life and work.

In this course we will explore different mathematical strategies to enable you to solve proportional reasoning problems. By participating in this course you will discover multiplicative reasoning strategies, links between ratio and proportion and the ability to scale things up and to scale things down.

What topics will you cover?

  • What is proportional (multiplicative) reasoning
  • Scaling up and scaling down using the unitary method
  • The definition and application of ratios
  • How to use proportion reasoning when dealing with areas and volumes
  • Proportional reasoning and ratio in applied science and technology contexts

Who is this accredited by?

The CPD Certification Service
The CPD Certification Service:

The CPD Certification Service was established in 1996 and is the leading independent CPD accreditation institution operating across industry sectors to complement the CPD policies of professional and academic bodies.

When would you like to start?

Start straight away and learn at your own pace. If the course hasn’t started yet you’ll see the future date listed below.

Learning on this course

You can take this self-guided course and learn at your own pace. On every step of the course you can meet other learners, share your ideas and join in with active discussions in the comments.

What will you achieve?

By the end of the course, you‘ll 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

Who is the course for?

This course is specifically designed for secondary school teachers and educators who are not specialised in maths, but who are wanting to learn mathematical methods and improve their understanding of the subject.

It’s particularly suitable for new teachers and those studying teaching as a profession. Primary school teachers may find this course useful to understand how the mathematics curriculum progresses further in secondary school.

Who will you learn with?

Mathematics Subject Specialist at the National STEM Learning Centre, York.

I have taught mathematics for over 30 years, as a head of department, an advanced skills teacher and as maths lead at STEM Learning. I am the level 3 lead for the Yorkshire Ridings maths hub.

Secondary maths teacher.

Who developed the course?

National STEM Learning Centre

The National STEM Learning Centre provides world-class professional development activities and resources to support the teaching of STEM (science, technology, engineering and mathematics) subjects.

Learning on FutureLearn

Your learning, your rules

  • Courses are split into weeks, activities, and steps, but you can complete them as quickly or slowly as you like
  • Learn through a mix of bite-sized videos, long- and short-form articles, audio, and practical activities
  • Stay motivated by using the Progress page to keep track of your step completion and assessment scores

Join a global classroom

  • Experience the power of social learning, and get inspired by an international network of learners
  • Share ideas with your peers and course educators on every step of the course
  • Join the conversation by reading, @ing, liking, bookmarking, and replying to comments from others

Map your progress

  • As you work through the course, use notifications and the Progress page to guide your learning
  • Whenever you’re ready, mark each step as complete, you’re in control
  • Complete 90% of course steps and all of the assessments to earn your certificate

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What's included?

This is a premium course. These courses are designed for professionals from specific industries looking to learn with a smaller group of like-minded individuals.

  • Unlimited access to this course
  • Includes any articles, videos, peer reviews and quizzes
  • Tests to validate your learning
  • Certificate of Achievement to prove your success when you're eligible
  • Download and print your Certificate of Achievement anytime

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