'Plausible Estimation' Estimating for Amazing Facts Tasks - Set #3 Malcolm Swan Mathematics Education University of Nottingham Malcolm.Swan@nottingham.ac.uk Jim Ridgway School of Education University of Durham Jim.Ridgway@durham.ac.uk The aim of this assessment is to provide the opportunity for you to: · develop a chain of reasoning that will enable you to estimate quantities to an appropriate degree of accuracy · choose suitable units for your estimate · communicate the assumptions upon which your estimate is based. ____________________________________________________ 1. High stack Suppose you have a very large sheet of paper. You tear it in half and put one half on top of the other. You now have a stack of two sheets. You now tear the whole stack in half and place one half on top of the other to make a new stack. You repeat this process, tearing 50 times. (Yes I know its impossible - just imagine you could). How high would the stack be? 50 feet? 100 feet? A mile? or more...? Make a sensible estimate, based on careful reasoning. Assumptions Reasoning 2. The swimming pool and the glass. How long would it take you to empty an olympic size swimming pool with a glass? Assumptions Reasoning 3. The briefcase of cents Suppose you filled a briefcase with one cent coins. How much would the money be worth? Assumptions Reasoning