This course is intended for new teachers to A2 compulsory pure content for the new further mathematics specification or those seeking to develop new teaching strategies and activities to stimulate student understanding. The sessions will focus on four of the main topics of the specification: Complex numbers, Polar Coordinates, Hyperbolic Functions and Differential equations and consider methods to develop conceptual understanding of the relevant mathematics.




  • Take away fresh ideas and resources for key topics
  • Analyse the assessment requirements of the new specification
  • Increased awareness of the demands of the new specification and how to meet them
  • Take away a selection of resources to use in the classroom for inspiring students
COURSE DATES London | Wednesday 15 December 2021

London | Wednesday 9 February 2022

  • New teachers to A2 further mathematics who have taught the AS specification
  • Experienced teachers who wish to develop their pedagogy of key topics
  • Those wishing to expand their repertoire of resources and teaching ideas for inspiring students
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


10.00 – 10:30am: Introduction and Overview

  • What are the key topics in the compulsory pure content for A2 further mathematics and how do they fit together?
  • What are the assessment objectives and the key concerns for assessment?
  • How can we develop our student curiosity in high level mathematical concepts?



10:30 – 11:30am: De Moivre’s theorem and the exponential form of a complex number

  • Teaching ideas for introducing and developing De Moivre’s theorem
  • The exponential form of a complex number as a flexible concept
  • Inspiring students with the roots of unity



11:30 – 11:45: Break



11:45 – 12:45pm: Polar coordinates and graphs

  • Using dynamic geometry to develop student understanding.
  • Key concepts and teaching ideas for polar curves
  • Considering the beauty of polar curves
  • Resourcing polar coordinates and graphs



12:45 – 13:45pm:  Lunch  



13:45 – 14:45pm: Investigating hyperbolic functions    

  • Ideas and resources for teaching hyperbolic functions
  • The hyperbolic functions as ‘partners’ to the circular trigonometric functions
  • Using dynamic geometry to develop understanding of hyperbolic functions
  • Developing hyperbolic calculus



14:45 – 15:00pm: Afternoon break



15:00 – 16:00pm: Differential Equations

  • Key concepts and teaching ideas
  • Resourcing differential equations
  • Looking at assessment objectives and comments from examiners



16.00pm: Depart



Phillip Howard

Phillip Howard is Head of Mathematics at a leading secondary school with over fifteen years’ teaching experience. He is an AQA Examiner, Pearson Team Leader and OCR Assessment Specialist. He holds a 1st class Bsc, PGCE (maths) and an MSc. In addition to his evidenced devotion to his subject and students, Phillip is a prolific writer on the teaching, learning and promotion of Mathematics in Education.