Rate of Change in Temperature 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.