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Mathematics

The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007

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C. TRANSPORTATION AND TRAVELOVERALL EXPECTATIONSBy the end of this course, students will:1. interpret information about owning and operating a vehicle, and solve problems involving theassociated costs;2. plan and justify a route for a trip by automobile, and solve problems involving the associated costs;3. interpret information about different modes of transportation, and solve related problems.SPECIFIC EXPECTATIONS1. Owning and Operating a VehicleBy the end of this course, students will:1.1 gather and interpret information about theprocedures (e.g., in the graduated licensingsystem) and costs (e.g., driver training; licensingfees) involved in obtaining an Ontario driver’slicence, and the privileges and restrictionsassociated with having a driver’s licence1.2 gather and describe information about theprocedures involved in buying or leasing anew vehicle or buying a used vehicle1.3 gather and interpret information about theprocedures and costs involved in insuring avehicle (e.g., car, motorcycle, snowmobile)and the factors affecting insurance rates (e.g.,gender, age, driving record, model of vehicle,use of vehicle), and compare the insurancecosts for different categories of drivers and fordifferent vehiclesSample problem: Use automobile insurancewebsites to investigate the degree to whichthe type of car and the age and gender of thedriver affect insurance rates.1.4 gather and interpret information about the costs(e.g., monthly payments, insurance, depreciation,maintenance, miscellaneous expenses)of purchasing or leasing a new vehicle orpurchasing a used vehicle, and describe theconditions that favour each alternativeSample problem: Compare the costs of buyinga new car, leasing the same car, and buyingan older model of the same car.1.5 describe ways of failing to operate a vehicleresponsibly (e.g., lack of maintenance,careless driving) and possible financial andnon-financial consequences (e.g., legal costs,fines, higher insurance rates, demerit points,loss of driving privileges)1.6 identify and describe costs (e.g., gas consumption,depreciation, insurance, maintenance)and benefits (e.g., convenience, increasedprofit) of owning and operating a vehicle forbusinessSample problem: Your employer pays35 cents/km for you to use your car forwork. Discuss how you would determinewhether or not this is fair compensation.1.7 solve problems, using technology (e.g., calculator,spreadsheet), that involve the fixed costs(e.g., licence fee, insurance) and variablecosts (e.g., maintenance, fuel) of owning andoperating a vehicleSample problem: The rate at which a car consumesgasoline depends on the speed of thecar. Use a given graph of gasoline consumption,in litres per 100 km, versus speed, inkilometres per hour, to determine how muchgasoline is used to drive 500 km at speeds of80 km/h, 100 km/h, and 120 km/h. Use thecurrent price of gasoline to calculate the costof driving 500 km at each of these speeds.<strong>Mathematics</strong> for Work and Everyday LifeMEL3ETRANSPORTATION AND TRAVEL83

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