form a system analogous to the rational observed local and global behavior of a Task(s) numbers, closed under addition, subtraction, function. Select tasks from the following (pp.14-224): multiplication, and division by a nonzero CCGPS Advanced Algebra: Unit 6: rational expression; add, subtract, multiply, Mathematical Modeling Essential Question(s) and divide rational expressions. What are the similarities and differences between linear, quadratic, and polynomial Additional Resource(s) functions? Objective(s): Students will graph rational functions with removable discontinuities. Students will graph rational functions with oblique or nonlinear asymptotes. Students will solve applications involving rational functions. Domain: Solve Equations and Inequalities Enduring Understanding(s) 3.7 Polynomial and Rational Inequalities Writing in Math (Coburn) Cluster: Solve systems of equations and What is a polynomial inequality? Real world situations can be modeled and nonlinear inequalities. 3.6 Polynomial and Rational Inequalities solved by using various functions. (Blitzer) Graphs of functions can explain the Solve nonlinear inequalities (quadratic, What is a rational inequality? observed local and global behavior of a trigonometric, conic, exponential, logarithmic, Additional Resources function. and rational) by graphing (solutions in interval Inequalities notation if one-variable), by hand and with Essential Question(s) appropriate technology. What are the similarities and differences between linear, quadratic, and polynomial functions? Objective(s): Students will solve quadratic inequalities. Students will solve polynomial inequalities. Students will solve rational inequalities. Students will use interval tests to solve
form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. observed local and global behavior of a function. Essential Question(s) What are the similarities and differences between linear, quadratic, and polynomial functions? Objective(s): Students will graph rational functions with removable discontinuities. Students will graph rational functions with oblique or nonlinear asymptotes. Students will solve applications involving rational functions. Task(s) Select tasks from the following (pp.14-224): CCGPS Advanced Algebra: Unit 6: Mathematical Modeling Additional Resource(s) Domain: Solve Equations and Inequalities Cluster: Solve systems of equations and nonlinear inequalities. Solve nonlinear inequalities (quadratic, trigonometric, conic, exponential, logarithmic, and rational) by graphing (solutions in interval notation if one-variable), by hand and with appropriate technology. Enduring Understanding(s) Real world situations can be modeled and solved by using various functions. Graphs of functions can explain the observed local and global behavior of a function. Essential Question(s) What are the similarities and differences between linear, quadratic, and polynomial functions? Objective(s): Students will solve quadratic inequalities. Students will solve polynomial inequalities. Students will solve rational inequalities. Students will use interval tests to solve 3.7 Polynomial and Rational Inequalities (Coburn) 3.6 Polynomial and Rational Inequalities (Blitzer) Additional Resources Inequalities Writing in Math What is a polynomial inequality? What is a rational inequality?