1. © Nuffield Foundation 2011 Nuffield Mathematics Activities Coastal erosion B Integrating area

2. © Nuffield Foundation 2011 Disappearing coasts ‘Understanding how our coasts are eroded is vital in a future of climate change and sea level rise’ – Catherine Poulton coastal sedimentologist, British Geological Survey © East Riding Council

3. © Nuffield Foundation 2011 There is a variable rate of land erosion at different points on the coastline. How can we estimate how much land will be lost over a period of time?

4. © Nuffield Foundation 2011 To compare and compute a variety of methods for approximating areas/integrals use the Shodor Interactivate: InteGreat! www.shodor.org/interactivate/activities/Integrate/

5. © Nuffield Foundation 2011 Explore more at www.coastalexplorer.eastriding.gov.uk www.hull.ac.uk/erosion www.bgs.ac.uk/ News item on Holbeck Hall Hotel collapse http://news.bbc.co.uk/1/hi/england/7438211.stm

6. © Nuffield Foundation 2011 Reflect on your work What features of the coastline indicate whether a quadratic or a cubic function is likely to give the better fit? What methods could you use to find models? How would you decide which was the best model? Describe how integration can be used to estimate land loss due to coastal erosion.