1. © Nuffield Foundation 2011 Nuffield Mathematics Activities Coastal erosion A Estimating 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 is the trapezium rule formula? Explain the role of the various factors in this formula. What would you need to do to have more accurate estimates? Describe how you can use the trapezium rule to estimate land loss due to coastal erosion.