polynomial, and rational functions. Knowledge: Skills: Students will know… Students will be able to … Determine the best function to fit a certain situation or set of data. All standards in this unit go beyond the knowledge level. Use technology to fit exponential models to data. Model applied situations using exponential and logarithmic functions and answer questions using those models. Reason quantitatively and use units to solve problems. Define appropriate quantities for the purpose of descriptive modeling. Interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data. Use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. Academic Vocabulary: Critical Terms: Supplemental Terms:
polynomial, and rational functions. Knowledge: Students will know… All standards in this unit go beyond the knowledge level. Skills: Students will be able to … Determine the best function to fit a certain situation or set of data. Use technology to fit exponential models to data. Model applied situations using exponential and logarithmic functions and answer questions using those models. Reason quantitatively and use units to solve problems. Define appropriate quantities for the purpose of descriptive modeling. Interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data. Use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. Academic Vocabulary: Critical Terms: Supplemental Terms: