Highgrove Education

STEP Preparation

This course follows on the Autumn and Spring term Sixth Form Maths Enrichment electives, and continues to prepare students to prepare students for topics relevant to those students looking to prepare for the STEP university entrance exams. This course starts in the second half of the summer term of year 12, finishing at the end of the first half of the summer term. Students should note that these lessons will involve significant preparation outside of the live lessons, with students expected to work on problems to be discussed in the next session to make the most of the following session; in this way, the sessions will be similar to the Oxbridge tutorial system.

Key Information



Access Course Enrolment:
  • Enrolment in our pre-GCSE or pre-A level access course.
  • Access to our self-study materials and platform, live class lessons, and individual teacher support in Office Hours.
  • Weekly teacher-marked homework.
  • Half termly reports.
  • Support from our SENDCo for pupils with special educational needs or disabilities, including assessment for access arrangement entitlement.
  • Support with English for pupils whose first language is not English.
  • A Highgrove Education Office365 account, including Teams, SharePoint and a school email
TeacherMr Harry Williams, Head of Mathematics
Course LengthAcademic year
Live LessonsOne 45-minute lesson per week
HomeworkApproximately two hours a week
Examination The STEP exams (STEP 2 and STEP 3) take place in June of year 13.
Entry RequirementsPupils must be taking Mathematics or Further Mathematics at AS or A level and have attended the previous Sixth Form Maths Enrichment for Autumn term. Students must be anticipating that they will sit the STEP exams at the end of year 13.

Course Syllabus

Summer 2Small angle approximations, differentiation, induction; graph sketching involving modulii & differentiation
Autumn 1The chain rule and coordinate geometry, integration, STEP 2: calculus & curve sketching, equations & inequalities, trigonometry
Autumn 2STEP 2: Vectors, mechanics, statistics, miscellaneous pure, matrices & complex numbers
Spring 1STEP 3 Algebra, calculus, complex numbers & coordinate geometry
Spring 2Differential equations, hyperbolic functions, matrices, statistics & vectors
Summer 1Timed STEP exam practice

Teacher Profile

Mr Williams has taught Maths and Further Maths for over ten years prior to joining Highgrove Education, most recently at Harrow School Online, where in 2023 his pupils achieved 90% A*-A in Maths and 100% A*-A in Further Maths. Before this he taught at Abingdon School where he was responsible for their UKMT challenges and Sixth Form Maths Enrichment. Mr Williams graduated with a First class master’s degree in Maths from the University of Sussex in 2013, then went on to complete his PGCE with the University of Reading. He is a keen advocate for the power of technology to enhance and indeed transform pupils’ enjoyment and understanding of Maths.