A2.A.1.1

Use mathematical models to represent quadratic relationships and solve using factoring, completing the square, the quadratic formula, and various methods (including graphing calculator or other appropriate technology). Find non-real roots when they exist.

Khan Academy Resources

Understanding the quadratic formulaSolving quadratics by completing the squareQuadratic formula proof reviewCompleting the square reviewSolving simple quadratics reviewDiscriminant reviewSolving quadratics by taking square roots Quadratic formula reviewSolving quadratics by factoringQuadratic formulaCompleting the squareQuadratics by factoringQuadratics by taking square rootsQuadratic word problems (standard form)Solve equations by completing the squareInterpret quadratic modelsSolve equations using structureEquations & inequalities word problemsQuadratics by taking square roots (intro)Solve quadratic equations: complex solutionsQuadratic word problems (vertex form)Quadratics by taking square roots: with stepsQuadratics by taking square roots: strategyQuadratic word problems (factored form)Strategy in solving quadraticsQuadratic equations word problem: triangle dimensionsQuadratic word problem: ballWorked example: completing the square (leading coefficient ≠ 1)Worked example: quadratic formula (negative coefficients)Solving quadratics by taking square rootsSolving quadratic equations: complex rootsCompleting the squareThe quadratic formulaProof of the quadratic formulaSolving quadratics by factoringQuadratic equations word problem: box dimensionsSolving quadratics by completing the square: no solutionWorked example: quadratic formula (example 2)Using the quadratic formula: number of solutionsFactoring polynomials using complex numbersInterpret quadratic models: Factored formSolve by completing the square: Non-integer solutionsSolving quadratics using structureSolve by completing the square: Integer solutionsQuadratics & the Fundamental Theorem of Algebra Quadratic word problems (vertex form)Strategy in solving quadratic equationsSolving quadratics by taking square roots examplesQuadratic inequality word problemSolving quadratics by taking square roots: with stepsQuadratic word problems (factored form)Solving quadratics by factoring: leading coefficient ≠ 1Interpret quadratic models: Vertex formComplex numbers & sum of squares factorizationWorked example: Rewriting & solving equations by completing the square

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