## MATHEMATICS 10-3

[C] Communication
[CN] Connections
[ME] Mental Mathematics
and Estimation

[PS] Problem Solving
[R] Reasoning
[T] Technology
[V] Visualization

### Number

General Outcome: Develop number sense and critical thinking skills.

Specific Outcomes: It is expected that students will:

1. Solve problems that involve unit pricing and proportional reasoning.
CN, ME, PS, R]
ICT: F2–4.7]

1.1 Compare the unit price of two or more given items.
1.2 Solve problems that involve determining the best buy, and explain the choice in terms of the cost as well as other factors, such as quality and quantity.
1.3 Compare, using examples, different sales promotion techniques; e.g., deli meat at \$2 per 100 g seems less expensive than \$20 per kilogram.
1.4 Determine the percent increase or decrease for a given original and new price.
1.5 Solve, using proportional reasoning, a contextual problem that involves currency exchange.
1.6 Explain the difference between the selling rate and purchasing rate for currency exchange.
1.7 Explain how to estimate the cost of items in Canadian currency while in a foreign country, and explain why this may be important.
1.8 Convert between Canadian currency and foreign currencies, using formulas, charts or tables.

2. Demonstrate an understanding of income, including:
• wages
• salary
• contracts
• commissions
• piecework

to calculate gross pay and net pay.
C, CN, R, T]
ICT: C6–4.1, C6–4.2, C7–4.2, F2–4.7]

2.1 Describe, using examples, various methods of earning income.
2.2 Identify and list jobs that commonly use different methods of earning income; e.g., hourly wage, wage and tips, salary, commission, contract, bonus, shift premiums.
2.3 Determine in decimal form, from a time schedule, the total time worked in hours and minutes, including time and a half and/or double time.
2.4 Determine gross pay from given or calculated hours worked when given:

• the base hourly wage, with and without tips
• the base hourly wage, plus overtime (time and a half, double time).

2.5 Determine gross pay for earnings acquired by:

• base wage, plus commission
• single commission rate.

2.6 Explain why gross pay and net pay are not the same.
2.7 Determine the Canadian Pension Plan (CPP), Employment Insurance (EI) and income tax deductions for a given gross pay.
2.8 Determine net pay when given deductions; e.g., health plans, uniforms, union dues, charitable donations, payroll tax.
2.9 Investigate, with technology, “what if …” questions related to changes in income; e.g., “ What if there is a change in the rate of pay?”
2.10 Identify and correct errors in a solution to a problem that involves gross or net pay.
2.11 Describe the advantages and disadvantages for a given method of earning income; e.g., hourly wage, tips, piecework, salary, commission, contract work.