multiply, and divide rational expressions. Note: A.APR.7 requires the general division algorithm for polynomials A.REI.1 Explain each step in solving Ability to identify the Example: A student could justify each step of solving equations as a simple equation as following from shown below. mathematical property the equality of numbers asserted at (addition property of equality, the previous step, starting from the distributive property, etc.) used assumption that the original at each step in the solution equation has a solution. Construct a process as a means of viable argument to justify a justifying a step solution method. Students should focus on and Note: master A.REI.1 for linear equations and be able to extend and apply their reasoning to other types of equations in future courses. A.REI.2 Solve simple rational Ability to connect prior Students should be asked to make a connection between solving linear equations in one variable and solving rational equations in one variable and radical equations in one experience with solving simple whose numerators are of degree at most one. variable, and give examples equations in one variable to showing how extraneous solving equations which solutions may arise. require new strategies and Note: additional steps The limitations on rational functions to the rational Ability to make connections expressions in this standard. between the domain of a Limitations: In this course rational function and extraneous functions are limited to those whose solutions numerators are of degree at most Ability to identify extraneous one and denominators of degree at solutions most 2. A.REI.4b Solve Ability to solve quadratic quadratic equations using various equations by inspection ( e.g. for methods and recognize the ), taking square roots, most efficient method completing the square, the
multiply, and divide rational expressions. Note: A.APR.7 requires the general division algorithm for polynomials A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. Note: Students should focus on and master A.REI.1 for linear equations and be able to extend and apply their reasoning to other types of equations in future courses. Ability to identify the mathematical property (addition property of equality, distributive property, etc.) used at each step in the solution process as a means of justifying a step Example: A student could justify each step of solving equations as shown below. A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Note: The limitations on rational functions 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 Ability to solve quadratic equations using various methods and recognize the most efficient method
day_1_hs_afternoon_algebra_ii_unit_1_plan.docx