Board:Torontodistrictschoolboard

MBF3CCourseOutline2013-2014

ThisCourseOutlineisbasedupontheMinistryofEducationandTrainingOntarioCurriculumforGrade11FoundationsforCollege

Mathematicsasperthereviseddocumentof2006.

Board:TorontoDistrictSchoolBoard

School:EAST YORKCollegiateInstitute

CurriculumLeader:R.Singh

DevelopingTeacher:M.Datta

DateofRevision:June2012

CourseTitle:FoundationsforCollegeMathematics,Grade11,CollegePreparation

Grade:11

Code:MBF3C

CreditValue:1.0

Pre-requisite:FoundationsofMathematics,Grade10,Applied

orPrinciplesofMathematics,Grade10,Academic

Textbooks:FoundationsforCollegeMathematics11,McGraw-HillRyerson(2007)

Resources:Teacher’sResourceforFoundationsforCollegeMathematics11

ComputerizedAssessmentBankforFoundationsforCollegeMathematics11

GraphingCalculators,Fathom,Geometers’Sketchpad,andManipulatives

OMCA/OAMEMaterials

AlgebrawithPizzazz

CourseDescription

Thiscourseenablesstudentstobroadentheirunderstandingofmathematicsasaproblem-solvingtoolintherealworld.Studentswill extendtheirunderstandingofquadraticrelations;investigatesituationsinvolvingexponentialgrowth;solveproblemsinvolving compoundinterest;solvefinancialproblemsconnectedwithvehicleownership;anddeveloptheirabilitytoreasonbycollecting, analyzing,andevaluatingdatainvolvingonevariable;connectprobabilityandstatistics;andsolveproblemsingeometryand trigonometry.Studentswillconsolidatetheirmathematicalskillsastheysolveproblemsandcommunicatetheirthinking.Throughout thecourse,studentswillengageinthefollowingprocesses:ProblemSolving,ReasoningandProving,Reflecting,SelectingToolsand ComputationalStrategies,Connecting,Representing,Communicating.

Strands

MathematicalModels: 41periods PersonalFinance: 17periods Trigonometry: 11 periods DataManagement: 14periods Geometry: 10periods

ProgramPlanningConsiderations

ExceptionalStudents:Additionaltimewillbeallowedfortests.Additionalaccommodationswillbeprovidedin consultationwiththeGuidance,SpecialEducationandESLdepartments.

Technology:Manipulatives,GraphingCalculators,Fathom,andGeometer’sSketchpadwillbeutilizedfor hands-onandtechnology-relatedapplications.

CareerEducation:Linkstorelatedfieldswillbeestablishedthroughoutthecourse. Co-operativeEducation:ThesewillbeprovidedinassociationwithGuidanceDepartment. MathematicsAnxiety: Attentionwillbeaddressedaccordingtothefollowing:

•Culturalperspectives

•Positivereinforcements

•Varietyofassessmenttechniques

•Groupstructures

•ConsiderationforLearningStyles

LearningSkills

Assessmentofthelearningskillswillbedoneonanongoingbasisthroughouttheacademicyearbyobservationsofstudentsatwork, checklistsandinterviews.Thiswillinclude:

•Classwork/homework(Workhabits,homeworkandorganization)

•Completedworkandseekingassistance(Organizationandinitiative)

•Persistenceandindependenceattasks(Workingindependentlyandinitiative)

•Extensionoftask(Organizationandinitiative)

•Achievementofgroupgoals(Teamwork)

AssessmentStrategies

Avarietyofteaching/assessment strategiestoaddressstudents’needswillbeusedduringtheschoolyear.Formativeassessmentswill beongoingthroughouttheacademicyear.Thesemayinclude:

•Diagnosticassessment

•Formativeassessment

•Performanceassessment

•Portfolioassessment

•Rubrics

•Checklists

TermSummativeEvaluations(70%TermWork)

•Tests,quizzes,tasksandotherformsoftermsummativeevaluationswilloccurthroughouttheacademicyearattheendof unitsofworkasoutlinedintheaccompanyingcourseoutline.

•Studentswillbeprovidedwithreasonableopportunitiestomasterskillsrelatingtotheachievementofthecurriculum

expectationsbeforeassessmentandevaluationoccurs.

•Majorevaluationswillbeannouncedatleastoneweekinadvance.

•Accommodationswillbemadeforschoolactivities,statutoryholidays,religiousdays,culturaldays,sportseventsandother occurrencesthatmayimpactonanyscheduledevaluation.Itisthestudent’sresponsibilitytonotifyteachersofsuchabsences inadvanceandtomakeupmissedwork.

•Absenceonthedayofanevaluationmustbedocumented.Ifastudentmustmissanevaluation,s/heisexpectedto:

a)seetheteacherbeforetheabsencetoarrangeforanalternativedatetomakeuptheevaluation;or

b)incaseofillnessorunexpectedabsence,presentanotetotheteacher,signedbyaparentorguardian,immediately upontheirreturntoexplaintheabsence.Analternateevaluationwillthenbescheduledatamutuallyconvenienttime.

•TheEAST YORKLatePolicyappliestoallassignmentsandevaluations.SeeyourAgendabook.

•Cheatingwillnotbetoleratedinanyformandwillbedealtwithappropriately.

FinalMarkCalculation

CalculationoftheTermMarkwillbebasedupontheCategoriesoftheAchievementChart.Thischartismeanttoassistteachersin planninginstructionandlearningactivitiesfortheachievementofthecurriculumexpectations. Itisalsousedindesigningassessment andevaluationtoolsandinprovidingfeedbacktostudents. Eachmathematicaltopicwillcontaineachcategoryinthechartduetothe integratednatureofthedisciplineinmathematics.Finalmarkswillbecalculatedasfollows:

TermWork: / 70% / LevelsofAchievement:
KnowledgeandUnderstanding: / 50% / Level1:50-59%
Application: / 20% / Level2:60–69%
ThinkingandInquiry: / 20% / Level3:70–79%
Communication: / 10% / Level4:80-100%
FinalSummativeEvaluations: / 30%
PerformanceTask / 15%
FinalEvaluation / 15%

Reporting

Report#1 / Report#2 / JuneReport
100%TermWork / 100%TermWork
(CumulativeSept–Feb) / 70%TermWork + 10%PerformanceTask+20%FinalEvaluation
(CumulativeSepttoJune)

Communication

Accesstoextrahelpandmarkrecords. Studentsareencouragedtoconsulttheirteachersonaregularbasisforextrahelpand guidanceasitrelatestoimprovingtheiracademicperformance. Studentsarealsoexpectedtodiscussstrategiesforimprovingtheir gradeswiththeirteachers. Studentsareexpectedtoviewtheirreportcardsasanindicationoftheircurrentachievementanddiscuss withteachersforclarification.

CommunicationwithParents/Guardians.Commentspertainingtoacademicachievementandlearningskillsareplacedonthe reportcardsareprimarilytoprovidefeedbackforparents/guardiansaswellasstudents.Parent/guardiannightscanbeusedforoneto onediscussion. Attimesitmaybenecessarytocontactparents/guardiansbytelephonetodiscussastudent’sperformance. Parents/guardiansarealsoencouragedtocontactteachersasandwhentheneedarises

MBF3CDailyCourseOutline2012-2013

Textbook:FoundationsforCollegeMathematics11,McGraw-HillRyerson(2007)

Strand#1: MathematicalModels(41periods)

OverallExpectations:

•Tomakeconnectionsbetweenthenumeric,graphical,andalgebraicrepresentations ofquadraticrelations,andusetheconnectionstosolve problems;

•Todemonstrateanunderstandingofexponents,andmakeconnectionsbetweennumeric,graphical,andalgebraicrepresentations of

exponentialrelations;

•Todescribeandrepresentexponentialrelations,andsolveproblemsinvolvingexponentialrelationsarisingfromreal-worldapplications.

Per# / TOPIC / Section / ASSIGNMENT / Comment
UNIT#1: QUADRATIC RELATIONS I (11periods)
1 2 / ModellingwithQuadraticRelations / 4.1 / p.174,#1-14 / SeeOMCAmaterialsfor
IntroductoryInvestigations
34 / TheQuadraticRelationy=ax2+k / 4.2 / Investigationspp.180-185 p.190,#1-12 / Graphingcalculatorsneeded forthisentireunit.
5 / TheQuadraticRelationy=a(x-h)2 / 4.3 / Investigationspp.194-196 p.200,#1-10
67 / TheQuadraticRelationy=a(x-h)2+k / 4.4 / Investigationspp.204-206 p.212,#1-10
89 / InterpretGraphsofQuadraticRelations / 4.5 / p.222,#1-8
Additionalhandout
10 / Review / pp.226-229
11 / Testand/orPerformanceTask
UNIT#2:QUADRATIC RELATIONS II(13periods)
12 / ExpandBinomials / 5.1 / p.238,#1-16
Additionalhandout
3 / ChangeQuadraticRelationsfromVertexto
StandardForm / 5.2 / p.245,#1-13
45 / FactorTrinomialsoftheFormx2+bx+c / 5.3 / p.253,#1-15
Additionalhandout
67 / FactorTrinomialsoftheFormax2+bx+c, whereaisacommonfactor / 5.4 / p.259,#1-16
Additionalhandout
89 / Thex-interceptsofaQuadraticRelation / 5.5 / p.271,#1-11
1011 / SolveProblemsInvolvingQuadratic
Relations / 5.6 / p.281,#1-17
12 / Review / pp.286-289
13 / Testand/orPerformanceTask
UNIT#3:EXPONENTS (14periods)
12 / ExponentRuleswithWholeNumber
Exponents / 7.1 / p.360,#1-17
Additionalhandout
34 / ZeroandNegativeExponents / 7.2 / p.367,#1-12
Additionalhandout
56 / InvestigateExponentialRelations / 7.3 / Investigationspp.372-376 p.377,#1-12 / SeeOMCAmaterialsfor additionalinvestigations
78 / ExponentialRelations / 7.4 / Investigationspp.382-383 p.390,#1-14 / SeeOMCAmaterialsfor additionalinvestigations
910 / ModellingExponentialGrowthDecay / 7.5 / Investigationspp.395-400 p.401,#1-10 / Usegraphingcalculators
1112 / SolveProblemsInvolvingExponential
GrowthDecay / 7.6 / Investigationspp.406-409 p.410,#1-14
13 / Review / pp.414-417
14 / Testand/orPerformanceTask
12 / ReviewforCumulativeTest#1pp.350-351500
3 / CUMULATIVE TEST#1(Units#1-3)

Strand#2:PersonalFinance(17periods)

OverallExpectations:

•Tocomparesimpleandcompoundinterest,relatecompoundinteresttoexponentialgrowth,andsolveproblemsinvolvingcompound interest;

•Tocompareservicesavailablefromfinancialinstitutions,andsolveproblemsinvolvingthecostofmakingpurchasesoncredit;

•Tointerpretinformationaboutowningandoperatingavehicle,andsolveproblemsinvolvingtheassociatedcosts.

Per# / TOPIC / Section / ASSIGNMENT / Comment
UNIT#4: COMPOUND INTEREST (10periods)
1 / SimpleCompoundInterest / 8.1 / Investigationpp.422-426 p.428,#1-9
23 / CompoundInterest / 8.2 / p.432,#1-19
4 5 / PresentValue / 8.3 / p.439,#1-16
6 / TheTVMSolver / 8.4 / p.444,#1-17 / UseTVMSolveronTI-83
78 / EffectsofChangingConditionson
InvestmentsLoans / 8.5 / p.p.450,#1-18 / UseTVMSolveronTI-83
9 / Review / pp.454-457
10 / Testand/orPerformanceTask
UNIT#5:PERSONALFINANCE(7periods)
1 / SavingsAlternatives / 9.1 / p.465,#1-11 / Project-basedunit
UseTVMSolveronTI-83
2 / InvestmentAlternatives / 9.2 / p.472,#1-16
3 / ManageCreditCards / 9.3 / p.479,#1-10
4 / ObtainaVehicle / 9.4 / p.486,#1-10
5 / OperateaVehicle / 9.5 / p.493,#1-14
6 / Review / pp.496-499
7 / Testand/orProject

Strand#3:Trigonometry(11periods)

OverallExpectations:

•Tosolveproblemsinvolvingtrigonometryinacutetrianglesusingthesinelawandthecosinelaw,includingproblemsarisingfromreal- worldapplications.

Per# / TOPIC / Section / ASSIGNMENT / Comment
UNIT#6:TRIGONOMETRY(11periods)
12 / RevisitThePrimaryTrigonometricRatios / 1.1 / p.13,#1-14
Additionalhandout
3 / SolveProblemsUsingTrigonometric
Ratios / 1.2 / p.21,#1-14
45 / TheSineLaw / 1.3 / p.31,#1-13
Additionalhandout
67 / TheCosineLaw / 1.4 / p.39,#1-13
Additionalhandout
89 / MakingDecisionsUsingTrigonometry / 1.5 / p.48,#1-14
10 / Review / pp.52-55
11 / Testand/orPerformanceTask
12 / CumulativeReview / pp.160,351,500-501
3 / CUMULATIVE ASSESSMENT #2(Units#4-6)

Strand#4: DataManagement(14periods)

OverallExpectations:

•Tosolveproblemsinvolvingone-variabledatabycollecting,organizing,analyzing,andevaluatingdata;

•Todetermineandrepresentprobability,anidentifyandinterpretitsapplications.

Per# / TOPIC / Section / ASSIGNMENT / Comment
UNIT#7:ONE-VARIABLESTATISTICS (8periods)
1 / SamplingTechniques / 3.1 / Investigationpp.102-105 p.106,#1-12
2 / CollectandAnalyseData / 3.2 / p.114,#1-16
3 / DisplayData / 3.3 / p.125,#1-14 / TI-83orFathom
4 / MeasuresofCentralTendency / 3.4 / p.136,#1-14 / TI-83orFathom
5 / MeasuresofSpread / 3.5 / p.145,#1-14 / TI-83orFathom
6 / CommonDistributions / 3.6 / p.153,#1-7
7 / Review / pp.156-159
8 / Testand/orPerformanceTask
UNIT#8:PROBABILITY (6periods)
1 / ProbabilityExperiments / 2.1 / Investigationspp.60-65 p.66,#1-9
2 / TheoreticalProbability / 2.2 / Investigationspp.68-72 p.73,#1-12
3 / CompareExperimentalTheoretical
Probabilities / 2.3 / Investigationspp.77-81 p.1-14
4 / InterpretInformationInvolving
Probability / 2.4 / Investigationspp.86-88 p.89,#1-11
5 / Review / pp.94-97
6 / Testand/orPerformanceTask

Strand#5: Geometry(10periods)

OverallExpectations:

•Torepresent,inavarietyofways,two-dimensional shapesandthree-dimensional figuresarisingfromreal-worldapplications,andsolve designproblems.

Per# / TOPIC / Section / ASSIGNMENT / Comment
UNIT#9:GEOMETRYINDESIGN(10periods)
1 / InvestigateGeometricShapesandFigures / 6.1 / p.302,#1-15
23 / PerspectiveandOrthographicDrawings / 6.2 / Investigationspp.306-312 p.314,#1-13
45 / CreateNets,Plans,andPatterns / 6.3 / p.322,#1-13
GSPTaskpp.325-326
6 / ScaleModels / 6.4 / p.331,#1-13
78 / SolveProblemswithGivenConstraints / 6.5 / p.340,#1-14
9 / Review / pp.346-349
10 / Testand/orPerformanceTask
Jan/JuneCumulativeReview(Units#1-9)pp.504-513
PERFORMANCETASK (15%)JUNESUMMATIVE EVALUATION (15%ofFinalMark)