The Nuffield Foundation provides this resource which shows students how, given a set of measurements along an irregular coastline, it is possible to approximate the area of land which is lost to coastal erosion over a period of time. Coastal erosion A - this activity uses the context of coastal erosion to introduce the trapezium rule for estimating the area under a curve. The activity can be presented using the slideshow and related material on the internet. Coastal erosion B - has the same example and exercises, but with functions modelling the coastline so that the areas can be determined using integration. There is also a natural extension that relates to introducing and using rates of change, the land loss due to coastal erosion.