HSA.SSE.B.3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

HSA.SSE.B.3.aFactor a quadratic expression to reveal the zeros of the function it defines.HSA.SSE.B.3.bComplete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.HSA.SSE.B.3.cUse the properties of exponents to transform expressions for exponential functions.
Khan Academy Resources
Standard form reviewSolving quadratics by completing the squareSolving quadratics by factoring reviewForms of linear equations reviewGraphing quadratics reviewFactoring quadratics in any formCompleting the square reviewFactoring quadratics: Difference of squaresFactoring quadratics: Perfect squaresFactoring by groupingFactoring by common factor reviewFactoring quadratics: leading coefficient = 1Factoring simple quadratics reviewFactoring quadratics: leading coefficient ≠ 1Solving quadratics by factoringLinear systems of equations capstoneQuadratics by factoring (intro)Convert linear equations to standard formCompleting the square (intermediate)Completing the squareDifference of squaresFactoring quadratics introDifference of squares introQuadratics by factoringGraph parabolas in all formsGraph quadratics in standard formFactor polynomials: quadratic methodsFactor polynomials: quadratic methods (challenge)Factor quadratics by groupingQuadratic word problems (standard form)Zeros of polynomials (with factoring)Interpret quadratic modelsSolve equations using structureAnalyzing structure with linear inequalitiesCompleting the square (intro)Features of quadratic functionsSlope from equationSolve exponential equations using exponent properties (advanced)Features of quadratic functions: strategyInterpret change in exponential models: changing unitsPerfect squares introCompare features of functionsInterpret change in exponential models: with manipulationFactoring quadratics with a common factorPerfect squaresGCF factoring introductionSolve exponential equations using exponent propertiesFactoring quadratics as (x+a)(x+b) (example 2)Factoring perfect squaresQuadratic equations word problem: triangle dimensionsWorked example: completing the square (leading coefficient ≠ 1)More examples of factoring quadratics as (x+a)(x+b)Intro to groupingCompleting the squareFactoring two-variable quadratics: groupingFactoring quadratics by groupingFactoring quadratics: common factor + groupingFactoring quadratics: negative common factor + groupingFactoring perfect squares: negative common factorFactoring difference of squares: two variables (example 2)Solving quadratics by factoringQuadratic 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 formIntro to linear equation standard formFactoring perfect squares: missing valuesPerfect square factorization introFactoring quadratics as (x+a)(x+b)Finding zeros of polynomials (example 2)Finding zeros of polynomials (2 of 2)Interpret quadratic models: Factored formInterpreting change in exponential models: changing unitsSolving quadratics using structureZeros of polynomials (with factoring): groupingFactoring difference of squares: shared factorsFactoring perfect squares: shared factorsSolving exponential equations using exponent propertiesDifference of squares introStrategy in factoring quadratics (part 1 of 2)Factoring difference of squares: analyzing factorizationFactoring difference of squares: leading coefficient ≠ 1Strategy in factoring quadratics (part 2 of 2)Interpreting change in exponential models: with manipulationComparing maximum points of quadratic functionsForms & features of quadratic functionsFactoring two-variable quadratics: rearrangingSolving quadratics by factoring: leading coefficient ≠ 1Factoring with the distributive propertyFactoring quadratics with a common factorWorked examples: Forms & features of quadratic functionsComparing features of quadratic functionsInterpret quadratic models: Vertex formFactoring polynomials: common binomial factorQuadratic word problem: mosquitoesFinding features of quadratic functionsComparing functions: shared featuresSolving exponential equations using exponent properties (advanced)Factoring completely with a common factorFinding zeros of polynomials (1 of 2)Factoring two-variable quadraticsZeros of polynomials (with factoring): common factorGraphing quadratics: standard formFactoring difference of squares: missing valuesConverting from slope-intercept to standard formWorked example: Rewriting & solving equations by completing the squareWorked example: Rewriting expressions by completing the square
Goblins

1-on-1 AI tutoring aligned to HSA.SSE.B.3. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →