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'Robot Camera' printed from http://nrich.maths.org/
Why do this problem ?
Nanotechnology is an important area of research for new products. This problem
uses a medical context for students to think about estimation and orders of magnitude. These are crucial mathematical skills in the sciences. This problem could be tackled by individual students or it could be tackled jointly by a whole class.
The first two questions will help students in working with very small numbers, including finding out what the units mean. The class could then discuss whether they think it is possible in principle to make a camera suitable for injecting into an artery, before embarking on any calculations.
Do you have all the information you need? If not, where can you find out what you need?
What formulae will you need to use?
How accurate do you think your answer is?
What 'order of magnitude' checks could you make to test that your answer is sensible?
Students could come up with their own idea for a new product, and find out how feasible it is.
Revise units and orders of magnitudes, starting from metres, then millimetres, and so on, using standard form. Students could suggest objects which would be measured in each unit.