Ontario Grade 11 Workplace Preparation math (MEL3E)

Pay, deductions, purchasing power, discounts, taxes, and best-buy decisions.

• A1.1 · Compare the components of total earnings across occupations (written lesson not published)
• A1.2 · Interpret remuneration methods and pay schedules (written lesson not published)
• A1.3 · Explain how pay methods and schedules affect spending decisions (written lesson not published)
• A1.4 · Solve problems comparing remuneration methods and schedules (written lesson not published)
• A2.1 · Interpret government and other payroll deductions (written lesson not published)
• A2.2 · Estimate and compare payroll deduction percentages (written lesson not published)
• A2.3 · Relate gross pay, deductions, and net pay (written lesson not published)
• A2.4 · Compare purchasing power and living standards (written lesson not published)
• A3.1 · Interpret purchase incentives (written lesson not published)
• A3.2 · Estimate sale prices before tax (written lesson not published)
• A3.3 · Compare strategies for estimating sales tax (written lesson not published)
• A3.4 · Calculate discounts, sale prices, and after-tax costs (written lesson not published)
• A3.5 · Identify taxes built into prices (written lesson not published)
• A3.6 · Estimate change from a cash payment (written lesson not published)
• A3.7 · Make correct change using currency (written lesson not published)
• A3.8 · Compare unit prices to determine the best buy (written lesson not published)
• A3.9 · Compare extra costs for different transaction types (written lesson not published)
• A3.10 · Make and justify purchasing decisions using multiple criteria (written lesson not published)

Financial services, interest, loans, repayment, credit ratings, and borrowing decisions.

• B1.1 · Compare savings services, costs, and ways to reduce fees (written lesson not published)
• B1.2 · Compare credit-card and debit-card costs and incentives (written lesson not published)
• B1.3 · Read financial statements and use them to manage money (written lesson not published)
• B2.1 · Investigate and solve simple-interest problems (written lesson not published)
• B2.2 · Calculate compound interest by repeated simple-interest steps (written lesson not published)
• B2.3 · Compare simple and compound interest (written lesson not published)
• B2.4 · Investigate how investment conditions affect future value (written lesson not published)
• B2.5 · Solve saving and investing problems involving compound interest (written lesson not published)
• B3.1 · Compare the cost of carrying credit-card balances (written lesson not published)
• B3.2 · Compare features and conditions of personal loans (written lesson not published)
• B3.3 · Calculate total interest over the life of a loan (written lesson not published)
• B3.4 · Investigate how repayment time affects principal and interest (written lesson not published)
• B3.5 · Compare payment frequencies and total interest (written lesson not published)
• B3.6 · Explain credit ratings and their consequences (written lesson not published)
• B3.7 · Make and justify an informed borrowing decision (written lesson not published)

Vehicle ownership, trip planning, maps, travel costs, rentals, routes, and fares.

• C1.1 · Interpret driver-licensing procedures, costs, and restrictions (written lesson not published)
• C1.2 · Describe procedures for buying or leasing a vehicle (written lesson not published)
• C1.3 · Compare vehicle insurance factors and costs (written lesson not published)
• C1.4 · Compare costs of buying new, leasing, and buying used (written lesson not published)
• C1.5 · Explain consequences of irresponsible vehicle operation (written lesson not published)
• C1.6 · Compare business costs and benefits of using a vehicle (written lesson not published)
• C1.7 · Solve fixed and variable vehicle-cost problems (written lesson not published)
• C2.1 · Determine map distances using scale (written lesson not published)
• C2.2 · Plan and justify an automobile route (written lesson not published)
• C2.3 · Estimate and report automobile-trip costs (written lesson not published)
• C2.4 · Solve personal and business automobile-travel problems (written lesson not published)
• C3.1 · Compare monetary, health, and environmental impacts of daily travel (written lesson not published)
• C3.2 · Compare rental vehicle costs and conditions (written lesson not published)
• C3.3 · Interpret routes, schedules, and fares for public travel (written lesson not published)
• C3.4 · Compare transportation modes by cost, time, and convenience (written lesson not published)

Gross weekly pay is CAD 720 and deductions are estimated at 22%. Estimate net pay.

Worked method: Deductions are 0.22 × 720 = CAD 158.40. Net pay is 720 − 158.40 = CAD 561.60.

Compare 750 g for CAD 6.00 with 1.2 kg for CAD 8.40.

Worked method: The first costs CAD 8.00/kg. The second costs CAD 7.00/kg, so the 1.2 kg package is the better unit-price buy.

A 300 km trip uses 8 L/100 km and fuel costs CAD 1.60/L. Find the fuel cost.

Worked method: Fuel used is 3 × 8 = 24 L. Cost is 24 × 1.60 = CAD 38.40.

An item is 25% off CAD 80. Find the sale price before tax.

A map scale is 1 cm : 25 km. What distance does 6 cm represent?