Alignment Of Khan Academy Lessons/Practice Sets

Alignment of Khan Academy Lessons/Practice Sets with the Michigan Professional Readiness Exam(Mathematics) and Applied Tasks*Course TopicKhan VideosKhan Practice SetsAlgebraic ExpressionsDefining and UsingVariablesWhat is a Variable?Evaluating AlgebraicExpressionsEvaluating Expressions With TwoVariablesTranslating wordsinto AlgebraUsing FormulasRearrange Formulas to Isolate a VariableSolving for a VariableSolving for a Variable 2Michigan ProfessionalReadiness ObjectivesObjectives: 010, 012 Evaluating Expressions in One VariableEvaluating Expressions in Two VariablesConstructing andinterpretingalgebraic expressions Writing Expressions 1Writing Expressions 2Solving problemsinvolvingmanipulation ofalgebraic expressions Demonstratingknowledge of linear,quadratic,polynomial, andrational equationsand inequalitiesSolving Equations in Terms of a VariableOBJECTIVE ra/logarithmstutorial/logarithm basics/v/logarithmsApplied Tasks Solving problemsinvolving exponentialand logarithmicfunctionsOBJECTIVE 012Are We Alone? TaskInvolving FormulasSkeleton TowerProblem

FunctionsDefinition ofFunctionEvaluating FunctionsObjectives: 011, 012Intro to FunctionsFunctional Relationships 1Testing if a Relationship is a FunctionFunction Example ProblemsEvaluating a Function Graphs of FunctionsFunctions as GraphsGraphing a Basic FunctionUnderstanding Graphs of FunctionsViews of a Function Domain and RangeDomain of a FunctionDomain and Range of a RelationDomain and Range of a Function Given aFormulaFunctions Part 2Sum of FunctionsDifference of FunctionsProduct of FunctionsQuotient of FunctionsDomain of a FunctionRange of a FunctionDomain and Range Operations onFunctionsInverse FunctionsIntroduction to Function InversesFunction Inverse Example 1Function Inverse Example 2Function Inverse Example 3Evaluating Expressions With FunctionNotationEvaluating Composite FunctionsInverses of Functions Recognizingdefinitions andrepresentations offunctions includingpiecewise functionsand recursivefunctionsSolving problemsinvolving operationson functionsRecognizingfunctions as appliedto real worldsituationsSolving problemsinvolving powerfunctionsSolving problemsinvolving rationalefunctionsOBJECTIVES 011 & 012Painting by FunctionsEquation MatcherMotion Capture

REFRESHER MATH USED ng Integers With Different SignsAdding Negative NumbersAdding Negative NumbersAdding and Subtracting NegativeNumbersThe Locker ProblemNumber RulesMultiplying Negative Real NumbersDividing Positive and Negative NumbersMultiplying Numbers With DifferentSignsMultiplying and Dividing NegativeNumbersNegative Number Word ProblemsRounding NumbersRounding DecimalsRounding NumbersNumber LinePoints on a Number LineDecimals on the Number LineSquare RootsApproximating Square RootsSquare RootsSquare Roots 2FractionsIdentifying Fraction Parts(conceptual help)Adding and Subtracting FractionsFraction Word Problems(conceptual help)Adding and Subtracting FractionsMultiplyingFractionsMultiplying FractionsMultiplying FractionsDividing FractionsWord ProblemsDividing FractionsDividing FractionsDividing FractionsFair Shares- OpenEnded Word ingFractionsNever PrimeAdding andSubtracting SignedNumbersREFRESHER MATH USED THROUGHOUTMultiplying FractionsWord ProblemsFractions Jigsaw

REFRESHER MATH USED THROUGHOUTDecimals and PercentsPlace gDecimalsSolving PercentProblemsEquating Decimals,Percents, FractionsSimplifying Ratesand RatiosDecimal Place ValueAdding DecimalsSubtracting DecimalsMultiplying DecimalsDividing DecimalsDescribing the Meaning of PercentTaking PercentagesRepresenting a Number as a Decimal,Percent, and FractionSimplifying Rates and RatiosUnderstanding Decimal’s Place ValueAdding DecimalsSubtracting DecimalsMultiplying DecimalsDividing Decimals 2Percentage Word Problems 1Percentage Word Problems 2Converting Decimals to Fractions 1Converting Decimals to PercentsRatio Word ProblemsAdding andSubtracting DecimalsWord ProblemsMoney Word ProblemAnother Money WordProblemNet Points: Rates andRatios ActivityMath in Special Effects:Ratios ProblemREFRESHER MATH USED THROUGHOUTReal NumbersAbsolute ValueAbsolute Value and Number LinesAbsolute ValueOrder of OperationsSimplifying Exp.Order of Operations 1Order of OperationsWorking withIrrational NumbersREFRESHER MATH USED THROUGHOUTExponents and RootsMultiplying/DividingMonomialsMultiplying and Dividing Monomials 1Multiplying and Dividing Monomials 2Multiplying and Dividing Monomials 3Simplifying Rational Expressions 1Evaluating RationalExponents/RootsRadical Equivalent to Rational ExponentsExponentsPonzi SchemesProblemBig and Small Numbersin the Physical WorldNegative Power

PolynomialsAdding/SubtractingPolynomialsObjective: 012Adding and Subtracting Polynomials 1Adding Polynomials With MultipleVariablesMultiplyingPolynomialsMultiplying BinomialsMultiplying PolynomialsDistributive PropertyMultiplying Monomials by PolynomialsFactoringPolynomialsFactoring Quadratic ExpressionsFactoring Polynomials 1Factoring Trinomials With a CommonFactorFactoring Difference of SquaresAdding and Subtracting Polynomials Multiplying PolynomialsMultiplying ExpressionsMultiplying Expressions 1Factoring Polynomials 1Factoring Polynomials With TwoVariablesFactoring Difference of Squares 2Solving problemsinvolving polynomialfunctionsSolving problemsinvolving quadraticfunctionsOBJECTIVE 012Finding FactorsDifference of SquaresExplorationRoots of PolynomialsPolynomial Relations

Solving Equations and InequalitiesSolving LinearEquationsSolving One-Step EquationsTwo-Step EquationsMulti-Step Equation ExampleSolving Equations With the DistributivePropertyObjective: 012One-Step EquationsLinear Equations 2Multi-Step Equations With Distribution Solving problemsinvolving lines andlinear functionsSolving problems withquadratic functionsOBJECTIVE 012Solving LinearInequalitiesOne-Step InequalitiesEquations and InequalitiesMulti-Step Inequalities 3One-Step InequalitiesLinear InequalitiesSolving Quadraticsby FactoringSolving a Quadratic by FactoringSolving a Quadratic by Factoring 2Solving Quadratics by FactoringSolving Quadratics by Factoring 2Graphing QuadraticsGraphing a Quadratic FunctionGraphs of Quadratic FunctionsGraphs of Quadratic FunctionsCompleting the Square 1Completing the Square 2Solving Quad. byCompleting theSquareSolving Quadratics by Completing theSquareUsing the QuadraticFormulaUsing the Quadratic FormulaQuadratic Formula Application ProblemQuadratic EquationPredicting SportsRecordsSky High ScrapersKitchen Paraboloids(Quadratics Problem)Challenging Equations

Graphs and Linear FunctionsWord Problemswith LinearEquationsGraphing Lines 1Plotting x-y relationshipsGraphs of Linear EquationsObjectives: 012,017Identifying Points 2Graphing Linear Equations Solving problemsinvolving lines andlinear functionsOBJECTIVE 012Writing Equationsof LinesEquation of a Line 1Equation of a Line- Hairier ExampleEquation of a Line 3Slope-Intercept FormEquation of a LineSlopes andInterceptsx and y interceptsx and y intercepts 2Slope of a LineGraphical Slope of a LineSolving for the y-interceptSolving for the x-interceptSlope of a LineParallel andPerpendicular LinesParallel Line EquationPerpendicular Line SlopeEquations of Parallel and PerpendicularLinesParallel Lines 2Fitting a Line to DataLine RelationshipsGraphingInequalitiesGraphing Linear Inequalities in TwoVariables 2Graphing Linear Inequalities in TwoVariables 3Graphs of InequalitiesGraphing Inequalities 2Word Problemswith LinearEquationsBasic Linear Equation Word ProblemsLinear Equation Word ProblemsScatter Plots andLines of Best FitMath in Video GameDesignRestaurantManagement ProblemTemperature EquationParallel LinesPlotting the Line of Best FitPerpendicular Lines Demonstratingknowledge ofscatterplots and theircharacteristicsOBJECTIVE 017

Geometry, Trigonometry and MeasurementBasic GeometryObjectives: y Scale andMeasurement Area, Perimeter,CircumferencePythagoreanTheoremFind Volume ofSolidsPerimeter and Area BasicsArea and PerimeterRadius, Diameter and CircumferenceArea of a CircleThe Pythagorean TheoremPythagorean Theorem 2Solid Geometry VolumeArea 1Area of Squares and RectanglesArea of Triangles 1Perimeter 1Perimeter of Squares and RectanglesRadius, Diameter and CircumferenceArea of a CircleArea, Perimeter and Volume Solving problemsinvolving geometry oftwo-dimensionalfiguresSolving problemsinvolving geometry ofthree-dimensionalfiguresSolving problemsinvolving triangles andtrigonometryRecognizing therelationships betweenarea formulas of twodimensional figuresRecognizing therelationship betweentwo-dimensionalfigures and threethree-dimensionalfiguresRecognizing and usingformulas involvingperimeter, area andvolumeOBJECTIVE 013Pythagorean TheoremSolid Geometry Recognizing therelationships betweenvolume formulas ofthree-dimensionalfiguresGeometry WordProblems from fi.eduVolume of CylindersViewmongus:Calculating Areas ofScreensFruit Boxes: Area andVolume Problem

ConvertEnglish/metric unitsPoints, Lines andPlanesApplying the Metric SystemUnit ConversionConverting Units of ments-and-anglesUnits Recognizing therelationships betweenvolume formulas ofthree-dimensionalfiguresCongruence try/similarity/triangle gruenceOBJECTIVE 015 Demonstrating theknowledge ofcongruence andsimilarityCoordinates metry/graphsOBJECTIVE 014 Demonstratingknowledge ofcoordinate geometryOBJECTIVE linear-algebra/matrix transformations Recognizing thecomposition of two ormore transformationsOBJECTIVE 015Reflections linearalgebra/matrix transformations/lin ling-and-reflections Recognizingisometries (reflections,rotations, translationsand glide reflections)OBJECTIVE 015

Statistics and ProbabilityStatisticalSignificance, Marginof Error andConfidence Level.Measures of Center(Mean, Median ,Mode)Normal causalityObjectives: 016, 017,018, 019 Understand univariatedata and distributionsOBJECTIVE tisticsinferential/normal tionScatterplots & plotting the line of best fitPearson’sCoefficient s-chi-square-test-goodness-of-fitCorrelation on-and-causalityLinear ity/regression/regressioncorrelation/e/plotting the line of best lity/statisticsinferential/sampling distribution/v/central-limit-theoremReading nterpreting-data- Understand bivariatedata and relationshipsOBJECTIVE 017 Understand sampling,surveyingexperimental design,and graphicalrepresentationOBJECTIVE 018

topic/reading data/e/reading tables reting-datatopic/reading data/e/reading tables 2Reading Charts &GraphsBias, Variance andStandard c/interpreting-datatopic/reading data/e/reading bar /descriptivestatistics/variance std anceProbability robability y/independent-dependentprobabilityVenn Diagrams ability/independent-dependentprobability/addition rule math/trigonometry/prob comb/combinatorics precalc/e/permutations 1 UnderstandProbability Modelsand ProbabilityCalculationOBJECTIVE 019*Based upon the: Alignment of Accuplacer Math Topics and Developmental Math Topics with Khan Academy, the Common Core and AppliedTasks from The New England Board of Higher Education, April 2013Inspired by and created for our TRiO FESP students – Marcy L. Peake, M’Myia Hughes and Katrina Goodall

Factoring Polynomials Factoring Quadratic Expressions Factoring Polynomials 1 Factoring Trinomials With a Common Factor Factoring Difference of Squares . Alignment of Accuplacer Math Topics and Developmental Math Topics with Khan Academy, the Common Core and Applied Tasks from The New England Board of Higher Education, April 2013