A1.19.a

Find the approximate solutions of an equation graphically, using tables of values, or finding successive approximations, using technology where appropriate. Note: Include cases where f(x) is a linear, quadratic, exponential, or absolute value function and g(x) is constant or linear.

Khan Academy Resources

Understanding the quadratic formulaSolving quadratics by completing the squareSolving quadratics by factoring reviewCompleting the square reviewSolving simple quadratics reviewSolving quadratics by taking square roots Solving quadratics by factoringQuadratic formulaQuadratics by factoring (intro)Completing the square (intermediate)Completing the squareQuadratics by factoringQuadratics by taking square rootsQuadratic word problems (standard form)Interpret quadratic modelsSolve equations using structureExponential vs. linear modelsFeatures of quadratic functionsExponential expressions word problems (numerical)Exponential vs. linear growth over timeQuadratics by taking square roots: strategyZero product propertyStrategy in solving quadraticsQuadratic word problem: ballWorked example: completing the square (leading coefficient ≠ 1)Worked example: quadratic formula (negative coefficients)Solving quadratics by taking square rootsIntro to exponential functionsCompleting the squareThe quadratic formulaSolving quadratics by factoringWorked example: Completing the square (intro)Solving quadratics by completing the square: no solutionFinding the vertex of a parabola in standard formWorked example: quadratic formula (example 2)Using the quadratic formula: number of solutionsInterpret quadratic models: Factored formSolve by completing the square: Non-integer solutionsSolving quadratics using structureSolve by completing the square: Integer solutionsZero product propertyStrategy in solving quadratic equationsSolving quadratics by taking square roots examplesExponential expressions word problems (numerical)Initial value & common ratio of exponential functionsSolving quadratics by taking square roots: with stepsExponential vs. linear models: verbalSolving quadratics by factoring: leading coefficient ≠ 1Analyzing graphs of exponential functionsModeling with basic exponential functions word problemAnalyzing graphs of exponential functions: negative initial valueWorked example: Rewriting & solving equations by completing the square

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