LOPD | Higher GCSE topics through mathematical thinking

Online series


Live Online Professional Development (LOPD) courses form a programme of innovative online courses, designed to enable teachers to develop their teaching with confidence in a convenient, stress-free way. Our courses are delivered using a browser-based online classroom that allows participants to collaborate in real time. 

This course comprises eight online sessions with a experienced tutors, each between 60 and 90 minutes in length and delivered to a small group of teachers to encourage interaction and discussion.

We will focus on supporting teachers who are developing their students' mathematical thinking skills, particularly as they introduce higher tier topics that are vital for students who may go on to study Core Maths, AS/A level Mathematics or Further Mathematics. The course develops strategies and ideas for taking a piece of mathematics and extending it, exploring the connections which deepen understanding and develop fluency, and which can be used immediately in the classroom. There will be opportunities to consider how these concepts and resources could be embedded in professional practice and contribute towards the ambition and intent of the department's curriculum.


  • To explore strategies for developing reasoning within a selection of higher maths topics
  • To model structures to support your students in using reasoning within problem solving
  • To exemplify the use of reasoning to develop communication and problem solving skills

Who will benefit from attending?

Teachers who wish to improve their teaching of GCSE maths and/or the skills of their students, especially those hoping to raise student aspiration to study Maths beyond GCSE.

Teachers who have previously participated in our Raising Confidence courses or our suite of LOPD GCSE courses can attend this course without overlap. It is most appropriate for teachers of Higher tier GCSE students. 


  • Sequences
  • Fundamentals of algebra
  • Rearranging formulae
  • Linear equations, graphs and rates of change
  • Quadratic equations, graphs and completing the square
  • Proof (algebraic and geometric)
  • Confidence with fractions and algebraic fractions
  • Trigonometry and the unit circle

Materials and Equipment

You will need access to a good internet connection, using Chrome or Firefox as a browser. You will need a headset with a microphone to engage with the live sessions and most courses also require a means of sharing handwritten maths, such as a mini-whiteboard and webcam, a visualiser or a graphics tablet. Full details of how to set these up can be found on our online classroom support page

Other Information

The list of topics covered and its order may be subject to change.


All teachers are eligible for this course, however free places are available only to teachers in state-funded schools, colleges and academies in England. Applications for free places will be checked to verify eligibility.

Teachers must ensure that they are able to attend the live sessions before applying for a place as our courses are subject to very high demand: please do not apply for a place if you will not be able to attend at least 75% of sessions. Further instances of our courses will be added to meet demand; if you are not able to attend 75% of the sessions in this course, you might like to consider completing our register of interest form (this is NOT an application form) and letting us know when would be better for you.


This course is free of charge to teachers working in state-funded schools, colleges and academies in England, otherwise the fee is £195.

Study Schedule

Date Session content
Mon 23 May Sequences
Mon 06 May Fundamentals of algebra
Mon 13 Jun Rearranging formulae
Mon 20 Jun Linear equations, graphs and rates of change
Mon 27 Jun Quadratic equations, graphs and completing the square
Mon 04 Jul Proof (algebraic and geometric)
Mon 11 Jul Confidence with fractions and algebraic fractions
Mon 18 Jul Trigonometry and the unit circle

Schedule may be subject to change.

Key Facts

Event ref:




Curriculum focus:

11-16 maths

Mathematical focus:

Problem solving, Reasoning

Event format:

Live Online Professional Development

Online sessions:




Start date:

Mon 23rd May 2022

Course times:

17:00 - 18:30


Free for state-funded schools; £195 otherwise


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If you have any queries about this event, please do not hesitate to contact:

[email protected]

The AMSP, through MEI, holds the NCETM CPD Standard

National Centre for Excellence in the teaching of Mathematics

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