of numbers asserted at the asserted at the previous step, previous step, starting from starting from the assumption that the original equation has the assumption that the a solution. Construct a viable original equation has a argument to justify a solution solution. Construct a viable method. argument to justify a solution method. M.TMS.REI.4 A.REI.4 Solve quadratic equations in one variable. Use the method quadratic equations in of completing the square to one variable. transform any quadratic equation in x into an equation of the form that has the same solutions. 4.a Use the method of – Derive the quadratic formula completing the square to from this form. Solve transform any quadratic X quadratic equations by equation in x into an inspection (e.g., ), taking equation of the form (x – square roots, completing the p)2 = q that has the same square, the quadratic solutions. Derive the formulas and factoring, as quadratic formula from this appropriate to the initial form. form of the equation. Recognize when the quadratic formula gives 4.b Solve quadratic – complex solutions and write equations by inspection (e.g., for x2 = 49), taking
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. 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. M.TMS.REI.4 Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form that has the same solutions. Derive the quadratic formula from this form. Solve quadratic equations by inspection (e.g., ), taking square roots, completing the square, the quadratic formulas and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write A.REI.4 quadratic equations in one variable. 4.a – Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. 4.b – Solve quadratic equations by inspection (e.g., for x2 = 49), taking X
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