Core Content Standards
CCSS.Math.Content.HSA.REI.B.4 Solve quadratic equations in one variable.
CCSS.Math.Content.HSA.REI.B.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.
CCSS.Math.Content.HSA.REI.B.4.b Solve quadratic equations by inspection (e.g., for \(x^2 = 49)\), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as \(a \pm bi\) for real numbers \(a\) and \(b\).
CCSS.Math.Content.HSA.REI.A.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Standards for Mathematical Practice
CCSS.Math.Practice.MP1 Make sense of problems and persevere in solving them.
CCSS.Math.Practice.MP7 Look for and make use of structure.
CCSS.Math.Practice.MP8 Look for and express regularity in repeated reasoning.