Math+Trail+Spring+2011

=Here is our Math Trail problems for Spring 2011.=

The following UCSD Math Trail problems can be found at the campus Student Services Center (SSC) near the price center. We sat at the tables in the courtyard to discover these problems.

Once you have considered the solution to our math problems check out our own solutions page.

Problem 1: Wavey Benches created by Yuling Li & Moa Kim :)

Examine the wave that the structures next to the tables create. What family of functions do the waves most closely resemble? If you were to sketch a graph of the derivative of the wave function, what would it look like?



Problem 2: Recycle Volume

How many water bottles will this recycle bin hold? Estimate the number by examining the volume of the bin and your water bottle. Discuss how you can measure the volume, especially without a ruler. Do you think your answer will be larger, smaller or same as the actual number of bottles it can hold? Why?



Problem 3: How tall is that building?

Estimate how tall one story of the building is. First get an estimate using the brick wall and then estimate using the number of steps on the stair case. Compare both your answers and explain why they might not be the same.



Problem 4: Ramps and Inclines by Sharon Kim

Can you figure out the length of the three legs of the triangle? Try estimating the length of the hypotenuse first.