Student Learning Objectives
For
this RWLO, the student will be able to:
·
After
choosing a major city in the U.S.A., predict with some sort
of rationale in which month the temperature:
o
Increases
most rapidly.
o
Decreases
most rapidly.
o
Changes most
slowly.
·
Access a
website to find the average daily maximum temperature for the last 12
months of any major city in the USA and construct a chart
containing this data.
·
Use a
graphing calculator to:
o
Enter the
data into lists (columns).
o
Plot the
data.
o
Find a
regression function of the form T(x) = a*sin(bx + c) +d where T is the
temperature and x is the time in months.
o
Graph the
regression function and its derivative function.
·
Find the
derivative of the regression function by applying basic differentiation
rules.
·
Analyze the
graph of the derivative to find the actual real months where the
temperature changes most rapidly or most slowly and state the mathematical
reasoning that supports these results.
·
Compare the
predictions made in the beginning with the actual real results found
through mathematics.
