. A.REI.2 Solve simple rational Ability to connect prior Students should be asked to make a connection between solving and radical equations in one experience with solving linear equations in one variable and solving rational equations in variable, and give examples simple equations in one one variable whose numerators are of degree at most one. showing how extraneous variable to solving solutions may arise. equations which require (major) new strategies and Note: The limitations on additional steps rational functions apply to the Ability to make connections rational expressions in this between the domain of a standard. Limitations: In this function and extraneous course rational functions are solutions limited to those whose Ability to identify extraneous numerators are of degree at solutions most one and denominators of degree at most 2. A.REI.4b quadratic Solve Ability to solve quadratic equations by inspection ( e.g. equations using various for ), taking square roots, methods and recognize the completing the square, the most efficient method quadratic formula and Ability to use the value of factoring as appropriate to the the discriminant to initial form of the equations. determine if a quadratic (supporting)(cross-cutting) equation has one double Recognize when the solution, two unique quadratic formula gives solutions or no real
. A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. (major) Note: The limitations on rational functions apply to the rational expressions in this standard. Limitations: In this course rational functions are limited to those whose numerators are of degree at most one and denominators of degree at most 2. Ability to connect prior experience with solving simple equations in one variable to solving equations which require new strategies and additional steps Ability to make connections between the domain of a function and extraneous solutions Ability to identify extraneous solutions Students should be asked to make a connection between solving linear equations in one variable and solving rational equations in one variable whose numerators are of degree at most one. A.REI.4b Solve quadratic equations by inspection ( e.g. for ), taking square roots, completing the square, the quadratic formula and factoring as appropriate to the initial form of the equations. (supporting)(cross-cutting) Recognize when the quadratic formula gives Ability to solve quadratic equations using various methods and recognize the most efficient method Ability to use the value of the discriminant to determine if a quadratic equation has one double solution, two unique solutions or no real
A2_UP_U1_Polynomial_Rational_and_Radical_Relationships_Dec_27.docx