These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.

Further Risps eBook

This resource contains forty ‘rich starting points’ (or risps) for those studying Further Mathematics A Level. Each risp activity aims to make learning more exploratory and open-ended whilst still covering the syllabus requirements.

Each activity contains prompts or questions to be shared with students, detailed accompanying teacher notes and the solution to the problem.

The PDF booklet contains materials that cover a wide range of topics leading directly into Further Mathematics A Level content, although the materials may also be suitable for first year university students.

Topics covered include:

  • Complex numbers;
  • Conics;
  • Determinants;
  • Differential Equations;
  • Groups, binary operations;
  • Hyperbolic functions;
  • Integration;
  • Inverse trig functions;
  • Maclaurin series;
  • Matrices: basic arithmetic and linear transformations;
  • Matrices: eigenvalues and eigenvectors;
  • Numerical methods;
  • Polar coordinates;
  • Proof by induction;
  • Simultaneous equations;
  • Rational functions and their graphs;
  • Recurrence relations;
  • Reduction formulae;
  • Roots and coefficients of a polynomial equation;
  • Summing series;
  • Vectors

Show health and safety information

Please be aware that resources have been published on the website in the form that they were originally supplied. This means that procedures reflect general practice and standards applicable at the time resources were produced and cannot be assumed to be acceptable today. Website users are fully responsible for ensuring that any activity, including practical work, which they carry out is in accordance with current regulations related to health and safety and that an appropriate risk assessment has been carried out.

Show downloads

Information on the permitted use of this resource is covered by the Category Three Content section in STEM Learning’s Terms and conditions.

You might also like