A1.6
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
Khan Academy ResourcesSolving quadratics by completing the squareGraphing quadratics reviewGraphs of polynomials: Challenge problemsCompleting the square reviewZeros of polynomials & their graphsGraphs of polynomialsPositive & negative intervals of polynomialsQuadratics by factoring (intro)Completing the square (intermediate)Completing the squareDifference of squaresQuadratics by factoringGraph parabolas in all formsGraph quadratics in standard formRewrite exponential expressionsQuadratic word problems (standard form)Solve equations by completing the squareZeros of polynomials (with factoring)Interpret quadratic modelsSolve equations using structurePositive & negative intervals of polynomialsCompleting the square (intro)Zeros of polynomials (multiplicity)Features of quadratic functionsInterpret time in exponential modelsFeatures of quadratic functions: strategyEquivalent forms of exponential expressionsInterpret change in exponential models: changing unitsInterpret change in exponential models: with manipulationParabolas introInterpret change in exponential modelsZeros of polynomials (factored form)Quadratic equations word problem: triangle dimensionsWorked example: completing the square (leading coefficient ≠ 1)Completing the squareQuadratic equations word problem: box dimensionsVertex & axis of symmetry of a parabolaWorked example: Completing the square (intro)Solving quadratics by completing the square: no solutionFinding the vertex of a parabola in standard formInterpret quadratic models: Factored formInterpreting change in exponential modelsSolve by completing the square: Non-integer solutionsInterpreting change in exponential models: changing unitsSolving quadratics using structureZeros of polynomials (with factoring): groupingParabolas introMultiplicity of zeros of polynomialsSolve by completing the square: Integer solutionsZeros of polynomials: matching equation to graphInterpreting time in exponential modelsZeros of polynomials: matching equation to zerosInterpreting change in exponential models: with manipulationComparing maximum points of quadratic functionsVertex form introductionForms & features of quadratic functionsZeros of polynomials: plotting zerosWorked examples: Forms & features of quadratic functionsComparing features of quadratic functionsInterpret quadratic models: Vertex formRewriting exponential expressions as A⋅BᵗFinding features of quadratic functionsEquivalent forms of exponential expressionsZeros of polynomials (with factoring): common factorGraphing quadratics: standard formZeros of polynomials (multiplicity)Zeros of polynomials introductionWorked example: Rewriting & solving equations by completing the squareWorked example: Rewriting expressions by completing the square

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