Transformations and modulus graphs fill many a student with fear. In this webinar, we will discuss why transformations in the x-direction fit the pattern of “the opposite of what you expect”, when order matters in combined transformations (and when it does not) and how that all fits together to help us identify, describe or sketch examples of f(ax + b), the type that students usually find most difficult. We will look at a variety of exam questions to see how transformations of modulus and non-modulus graphs have been presented and what traps we can watch out for.


  • Understand transformations better, particularly those in the x-direction.
  • Understand and practice transforming graphs by f(ax + b)
  • Learn and understand when order of transformations matters and when it does not.
  • Learn and practise an approach for drawing a transformed graph, including modulus, that will make any question easier.
COURSE DATE Online | Wednesday 25 November 2020
Online | Wednesday 20 January 2021
  • Heads of Mathematics
  • Maths Teachers
IN-SCHOOL You can also book this as an In-School Course
  • A specially prepared folder of detailed notes, practical advice and guidance
  • Notes prepared by the educational experts leading the course
  • Expert produced PowerPoint presentations
  • CPD Certificate of attendance


4.00 – 4.05pm Welcome and Introduction

4:05-4:15pm:  Recap of all transformations

  • A look at the algebra of transformations and why transformations in the two directions appear to behave differently.
  • When order of transformations matters and when it does not.
  • Which generic graph shapes students will be expected to know.

4:15-4:30pm: f(ax + b) and practice.

  • A guide through this notorious area of difficulty.
  • Tips for practising, resources students can use outside lessons and common errors to avoid.
  • How students can check their own answers, both when practising and in the exam.

4:30-4:40pm:  Drawing modulus graphs

  • How to break modulus equations down to make drawing the graphs more straight forward.
  • How students can check their own answers, both when practising and in the exam.

4:40-4:55pm: Tricky questions

  • A mix of exam questions to see what traps might appear.

4:55-5pm:  Q and A.

Julia Treen

Julia Treen has been teaching all levels of secondary maths for 8 years, including 3 years as a private tutor and has been an A-level marker for Pearson. As such she is an expert in identifying where students struggle and how to overcome these challenges. She has a particular interest in helping students to practise more efficiently and effectively.