An application of complex numbers to electronics is explored. This lesson develops a feel for the graphs of cubic equations much like Lesson 1 does for quadratics. Students describe the characteristics of the graph and then explore how the parameters change the shape of the graph. Lesson 6 Modeling Cubic Data Cubic regression is used to model data sets. Lesson 7 Patterns in Cubic Data Students discover that third differences are constant in cubic functions.
Students use their accumulated knowledge to determine if data sets are linear, quadratic or cubic.
Students learn to solve radical equations. Absolute Value Functions Absolute value functions are introduced through the application of tolerance of resistors. Students learn to solve absolute value equations and inequalities. Lesson 10 Rational Functions Students explore rational functions through the application of the increased cost of removing a higher and higher percent of a pollutant. Students also learn to solve certain types of rational functions.