AP statisticsModel Syllabus using Starnes.docx

AP statisticsModel Syllabus using Starnes.docx

《AP statisticsModel Syllabus using Starnes.docx》由会员分享，可在线阅读，更多相关《AP statisticsModel Syllabus using Starnes.docx（30页珍藏版）》请在冰豆网上搜索。

APstatisticsModelSyllabususingStarnes

APStatisticssyllabususingThePracticeofStatistics（5thedition）

COURSEDESCRIPTION:

APStatisticsisthehighschoolequivalentofaonesemester,introductorycollegestatisticscourse.Inthiscourse,studentsdevelopstrategiesforcollecting,organizing,analyzing,anddrawingconclusionsfromdata.Studentsdesign,administer,andtabulateresultsfromsurveysandexperiments.Probabilityandsimulationsaidstudentsinconstructingmodelsforchancebehavior.Samplingdistributionsprovidethelogicalstructureforconfidenceintervalsandhypothesistests.StudentsuseaTI-83/84graphingcalculator,Fathom,andMinitabstatisticalsoftware,andWeb-basedjavaappletstoinvestigatestatisticalconcepts.Todevelopeffectivestatisticalcommunicationskills,studentsarerequiredtopreparefrequentwrittenandoralanalysesofrealdata.

COURSEGOALS:

InAPStatistics,studentsareexpectedtolearn

Skills

∙Toproduceconvincingoralandwrittenstatisticalarguments,usingappropriateterminology,inavarietyofappliedsettings.

∙Whenandhowtousetechnologytoaidtheminsolvingstatisticalproblems

Knowledge

∙Essentialtechniquesforproducingdata（surveys,experiments,observationalstudies）,analyzingdata（graphical&numericalsummaries）,modelingdata（probability,randomvariables,samplingdistributions）,anddrawingconclusionsfromdata（inferenceprocedures–confidenceintervalsandsignificancetests）

Habitsofmind

∙Tobecomecriticalconsumersofpublishedstatisticalresultsbyheighteningtheirawarenessofwaysinwhichstatisticscanbeimproperlyusedtomislead,confuse,ordistortthetruth.

Text:

ThePracticeofStatistics（5thedition）,byStarnes,Tabor,Yates,andMoore,

W.H.Freeman&Co.,2014.

Reviewtext:

Barron’sAPStatistics（7thedition）,bySternstein,Barron’sEd.Series,2013.

Flashcards:

Barron’sAPStatisticsFlashCards,（2ndedition）,bySternstein,

Barron’sEducationalSeries,2014.

COURSEOUTLINE:

Chapter1

Day

Topics

LearningObjectivesStudentswillbeableto…

Suggestedassignment

1

Chapter1Introduction

∙Identifytheindividualsandvariablesinasetofdata.

∙Classifyvariablesascategoricalorquantitative.

1,3,5,7,8

2

1.1BarGraphsandPieCharts,Graphs:

GoodandBad

∙Displaycategoricaldatawithabargraph.Decideifitwouldbeappropriatetomakeapiechart.

∙Identifywhatmakessomegraphsofcategoricaldatadeceptive.

11,13,15,17

3

1.1Two-WayTablesandMarginalDistributions,RelationshipsbetweenCategoricalVariables:

ConditionalDistributions

∙Calculateanddisplaythemarginaldistributionofacategoricalvariablefromatwo-waytable.

∙Calculateanddisplaytheconditionaldistributionofacategoricalvariableforaparticularvalueoftheothercategoricalvariableinatwo-waytable.

∙Describetheassociationbetweentwocategoricalvariablesbycomparingappropriateconditionaldistributions.

19,21,23,25,27–32

4

1.2Dotplots,DescribingShape,ComparingDistributions,Stemplots

∙Makeandinterpretdotplotsandstemplotsofquantitativedata.

∙Describetheoverallpattern（shape,center,andspread）ofadistributionandidentifyanymajordeparturesfromthepattern（outliers）.

∙Identifytheshapeofadistributionfromagraphasroughlysymmetricorskewed.

∙Comparedistributionsofquantitativedatausingdotplotsorstemplots.

37,39,41,43,45,47

5

1.2Histograms,UsingHistogramsWisely

∙Makeandinterprethistogramsofquantitativedata.

∙Comparedistributionsofquantitativedatausinghistograms.

53,55,59,60,65,69–74

6

1.3MeasuringCenter:

MeanandMedian,ComparingtheMeanandMedian,MeasuringSpread:

RangeandIQR,IdentifyingOutliers,Five-NumberSummaryandBoxplots

∙Calculatemeasuresofcenter（mean,median）.

∙Calculateandinterpretmeasuresofspread（range,IQR）.

∙Choosethemostappropriatemeasureofcenterandspreadinagivensetting.

∙Identifyoutliersusingthe1.5×IQRrule.

∙Makeandinterpretboxplotsofquantitativedata.

79,81,83,87,89,91,93

7

1.3MeasuringSpread:

StandardDeviation,ChoosingMeasuresofCenterandSpread,OrganizingaStatisticsProblem

∙Calculateandinterpretmeasuresofspread（standarddeviation）.

∙Choosethemostappropriatemeasureofcenterandspreadinagivensetting.

∙Useappropriategraphsandnumericalsummariestocomparedistributionsofquantitativevariables.

95,97,99,103,105,107–110

8

Chapter1Review/FRAPPY!

Chapter1ReviewExercises

9

Chapter1Test

Chapter2

Day

Topics

LearningObjectivesStudentswillbeableto…

Suggestedassignment

1

2.1MeasuringPosition:

Percentiles;CumulativeRelativeFrequencyGraphs;MeasuringPosition:

z-scores

∙Findandinterpretthepercentileofanindividualvaluewithinadistributionofdata.

∙Estimatepercentilesandindividualvaluesusingacumulativerelativefrequencygraph.

∙Findandinterpretthestandardizedscore（z-score）ofanindividualvaluewithinadistributionofdata.

1,3,5,9,11,13,15

2

2.1TransformingData

∙Describetheeffectofadding,subtracting,multiplyingby,ordividingbyaconstantontheshape,center,andspreadofadistributionofdata.

17,19,21,23,

25–30

3

2.2DensityCurves,The68–95–99.7Rule;TheStandardNormalDistribution

∙Estimatetherelativelocationsofthemedianandmeanonadensitycurve.

∙Usethe68–95–99.7ruletoestimateareas（proportionsofvalues）inaNormaldistribution.

∙UseTableAortechnologytofind（i）theproportionofz-valuesinaspecifiedinterval,or（ii）az-scorefromapercentileinthestandardNormaldistribution.

33,35,39,41,43,45,47,49,51

4

2.2NormalDistributionCalculations

∙UseTableAortechnologytofind（i）theproportionofvaluesinaspecifiedinterval,or（ii）thevaluethatcorrespondstoagivenpercentileinanyNormaldistribution.

53,55,57,59

5

2.2AssessingNormality

∙DetermineifadistributionofdataisapproximatelyNormalfromgraphicalandnumericalevidence.

54,63,65,66,67,69–74

6

Chapter2Review/FRAPPY!

Chapter2ReviewExercises

7

Chapter2Test

Chapter3

Day

Topics

LearningObjectivesStudentswillbeableto…

Suggestedassignment

1

Chapter3Introduction

3.1Explanatoryandresponsevariables,displayingrelationships:

scatterplots,describingscatterplots

∙Identifyexplanatoryandresponsevariablesinsituationswhereonevariablehelpstoexplainorinfluencestheother.

∙Makeascatterplottodisplaytherelationshipbetweentwoquantitativevariables.

∙Describethedirection,form,andstrengthofarelationshipdisplayedinascatterplotandrecognizeoutliersinascatterplot.

1,5,7,11,13

2

3.1Measuringlinearassociation:

correlation,factsaboutcorrelation

∙Interpretthecorrelation.

∙Understandthebasicpropertiesofcorrelation,includinghowthecorrelationisinfluencedbyoutliers.

∙Usetechnologytocalculatecorrelation.

∙Explainwhyassociationdoesnotimplycausation.

14–18,21

3

3.2Least-squaresregression,interpretingaregressionline,prediction,residuals

∙Interprettheslopeandyinterceptofaleast-squaresregressionline.

∙Usetheleast-squaresregressionlinetopredictyforagivenx.Explainthedangersofextrapolation.

∙Calculateandinterpretresiduals.

27–32,35,37,39,41,45

4

3.2Calculatingtheequationoftheleast-squaresregressionline,determiningwhetheralinearmodelisappropriate:

residualplots

∙Explaintheconceptofleastsquares.

∙Determinetheequationofaleast-squaresregressionlineusingtechnology.

∙Constructandinterpretresidualplotstoassessifalinearmodelisappropriate.

43,47,49,51

5

3.2Howwellthelinefitsthedata:

theroleofsandr2inregression

∙Interpretthestandarddeviationoftheresidualsand

andusethesevaluestoassesshowwelltheleast-squaresregressionlinemodelstherelationshipbetweentwovariables.

48,50,55,58

6

3.2Interpretingcomputerregressionoutput,regressiontothemean,correlationandregressionwisdom

∙Determinetheequationofaleast-squaresregressionlineusingcomputeroutput.

∙Describehowtheslope,yintercept,standarddeviationoftheresiduals,and

areinfluencedbyoutliers.

∙Findtheslopeandyinterceptoftheleast-squaresregressionlinefromthemeansandstandarddeviationsofxandyandtheircorrelation.

59,61,63,65,69,71–78

7

Chapter3Review/FRAPPY!

ChapterReviewExercises

8

Chapter3Test

Chapter4

Day

Topics

LearningObjectivesStudentswillbeableto…

Suggestedassignment

1

4.1Introduction,TheIdeaofaSampleSurvey,HowtoSampleBadly,HowtoSampleWell:

SimpleRandomSampling

∙Identifythepopulationandsampleinastatisticalstudy.

∙Identifyvoluntaryresponsesamplesandconveniencesamples.Explainhowthesesamplingmethodscanleadtobias.

∙Describehowtoobtainarandomsampleusingslipsofpaper,technology,oratableofrandomdigits.

1,3,5,7,9,11

2

4.1OtherRandomSamplingMethods

∙Distinguishasimplerandomsamplefromastratifiedrandomsampleorclustersample.Givetheadvantagesanddisadvantagesofeachsamplingmethod.

13,17,19,21,23,25

3

4.1InferenceforSampling,SampleSurveys:

WhatCanGoWrong?

∙Explainhowundercoverage,nonresponse,questionwording,andotheraspectsofasamplesurveycanleadtobias.

27,29,31,33,35

4

4.2ObservationalStudyversusExperiment,TheLanguageofExperiments

∙Distinguishbetweenanobservationalstudyandanexperiment.

∙Explaintheconceptofconfoundingandhowitlimitstheabilitytomakecause-and-effectconclusions.

37–42,45,47,49,51,53,55

5

4.2HowtoExper