How Far Does the Robot Go?
Students calculate distance traveled by robotsCopyright 2012 Elina Mamasheva, AMPS Program, Polytechnic Institute of NYU
Students practice their multiplication skills using robots with wheels built from LEGO® MINDSTORMS® kits. They brainstorm distance travelled by the robots without physically measuring distance and then apply their math skills to correctly calculate the distance and compare their guesses with physical measurements. Through this activity, students estimate parameters other than by physically measuring them, practice multiplication, develop measuring skills, and use their creativity to come up with successful solutions.
The application of mathematics is an essential component of engineering. Without a fundamental understanding of basic concepts, such as multiplication and measuring, it is not possible to understand more advanced mathematical concepts that are necessary to solve many engineering challenges. Engineers routinely estimate, calculate, measure as part of solving real-world problems. For example, in nanotechnology, it is highly challenging to measure actual distances at the miniscule scale. So, engineers estimate distances mathematically using known geometric or algebraic relationships. Creative problem solving is a valued concept for engineers. As an example, critical thinking and creative problem solving are put to the test to find ways to minimize the production of hazardous waste products in chemical plants while maintaining efficient industrial processing.
After this activity, students should be able to:
- Explain that distance can be determined in alternative ways.
- Relate the distance to the product of circumference of the wheels and the number of revolutions.
- Develop a scientific method to approach real-world problems.