Maths subject knowledge: graphs, functions and solving equations graphically NE212 / C20

4 Weeks
Learning Method
Online Delivered CPD


Online, self-paced course. Improve your subject knowledge of graphs and functions to develop your teaching approaches. How would you explain the difference between linear and quadratic relationships? Can you use function notation to describe the transformation of graphs? 

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?

  • the link between displaying the input and output of a function machine, as a table of results, a mapping and a graph.
  • the nature and qualities of a linear relationship and a quadratic relationship.
  • the application of graphs to finding approximate solutions to equations.
  • function notation and its use in describing transformations of graphs.

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:
  • reflect upon your current understanding of the basics of graphs and appreciate why graphs are important in representing connections between variables.
  • develop fluency in the nature and qualities of a linear relationship.
  • develop fluency in the nature and qualities of a quadratic relationship.
  • apply the use of graphs to display situations, find connections and solve problems.
  • investigate how function notation can be used to describe transformations of graphs.


Maths subject knowledge: graphs, functions and solving equations graphically03 May 202100:00-00:00Online course


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 FutureLearn’s 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 that by joining the course on FutureLearn your progress will be monitored by STEM Learning.

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


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State-funded school or collegeActivity fee£30.00 +VATSubsidy available*£0.00
Fee-paying school or college (independent)Activity fee£60.00 +VAT

* Your school or college will receive the subsidy on successful completion of the CPD and impact toolkit. Find out more.

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