The task aims to introduce the concept of exponential growth by using the scenario of vampires turning people into more vampires when they bite them. A simple model is proposed for how this may take place and there is opportunity for students to critically evaluate the results of their model in terms of whether vampires do exist!

Overview

The task aims to introduce the concept of exponential growth by using the scenario of vampires turning people into more vampires when they bite them. A simple model is proposed for how this may take place and there is opportunity for students to critically evaluate the results of their model in terms of whether vampires do exist!

Mathematical strand

Algebra and Graphs

Prior knowledge

Previous experience of using spreadsheets would useful as well as knowledge of geometric sequences.

Relevance to Core Maths qualifications

- AQA
- C&G
- Eduqas
- Pearson/Edexcel
- OCR

Suggested approaches

Introduce the problem by establishing what the group know about vampires and then use the Powerpoint to then develop the model to be used.

Resources/documentation

In addition to this overview there are:

- detailed Lesson Plan
- PowerPoint presentation
- completed Excel spreadsheet solution

Relevant digital technologies

Access to Excel Spreadsheet or an alternative spreadsheet programme is required.

Possible extensions

The initial rules that determine the model could be amended to allow for new scenarios (e.g. humans fighting back against vampires) and see how this changes the model.

Acknowledgement

This is a resource developed for the CMSP by Claire Beckett (Haydon Bridge High School).

Materials