Mathematics

THE ONTARIO CURRICULUM, GRADES 11 AND 12 | Mathematics Grade 11, Workplace Preparation3. PurchasingBy the end of this course, students will:3.1 identify and describe various incentives inmaking purchasing decisions (e.g., 20% off;1off; buy 3 get 1 free; loyalty rewards;3coupons; 0% financing)3.2 estimate the sale price before taxes whenmaking a purchase (e.g., estimate 25% off1of $38.99 as 25% or off of $40, giving4a discount of about $10 and a sale price ofapproximately $30; alternatively, estimate3the same sale price as about of $40)43.3 describe and compare a variety of strategies forestimating sales tax (e.g., estimate the salestax on most purchases in Ontario by estimating10% of the purchase price and addingabout a third of this estimate, rather than estimatingthe PST and GST separately), and usea chosen strategy to estimate the after-tax costof common itemsSample problem: You purchase three itemsfor $8.99 each and one item for $4.99.Estimate the after-tax total.3.4 calculate discounts, sale prices, and after-taxcosts, using technology3.5 identify forms of taxation built into the cost ofan item or service (e.g., gasoline tax, tire tax)3.6 estimate the change from an amount offeredto pay a chargeSample problem: Estimate the change fromthe $20 offered to pay a charge of $13.87.3.7 make the correct change from an amountoffered to pay a charge, using currencymanipulativesSample problem: Use currency manipulativesto explain why someone might offer $15.02,rather than $15.00, to pay a charge of $13.87.3.8 compare the unit prices of related items tohelp determine the best buySample problem: Investigate whether or notpurchasing larger quantities always results ina lower unit price.3.9 describe and compare, for different types oftransactions, the extra costs that may be associatedwith making purchases (e.g., interestcosts, exchange rates, shipping and handlingcosts, customs duty, insurance)Sample problem: What are the various costsincluded in the final total for purchasing adigital audio player online from an Americansource? Using an online calculator, calculatethe final cost, and describe how it compareswith the cost of the purchase from a majorretailer in Ontario.3.10 make and justify a decision regarding thepurchase of an item, using various criteria(e.g., extra costs, such as shipping costsand transaction fees; quality and quantityof the item; shelf life of the item; method ofpurchase, such as online versus local) undervarious circumstances (e.g., not having accessto a vehicle; living in a remote community;having limited storage space)Sample problem: I have to take 100 mL of aliquid vitamin supplement every morning.I can buy a 100 mL size for $6.50 or a 500 mLsize for $25.00. If the supplement keeps inthe refrigerator for only 72 h, investigatewhich size is the better buy. Explain yourreasoning.80