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Ontario Grade 12 Workplace Preparation math (MEL4E)

Browse the complete MEL4E expectation map, with starter examples and practice. Written lessons are added only after quality review and publication.

Publication status

0 of 52 written lessons published

The topic map covers the course expectations. A topic marked “written lesson not published” remains available for practice and tutoring, but does not have a reviewed written lecture yet.

MEL4E

Topics by strand

A · Reasoning With Data

Collecting, displaying, interpreting, and evaluating data.

  • A1.1 · Identify practical questions answered with data (written lesson not published)
  • A1.2 · Distinguish primary and secondary data (written lesson not published)
  • A1.3 · Collect and organize practical data (written lesson not published)
  • A1.4 · Create appropriate data displays (written lesson not published)
  • A1.5 · Calculate measures of central tendency (written lesson not published)
  • A1.6 · Compare data sets using summaries and displays (written lesson not published)
  • A1.7 · Draw conclusions and make decisions from data (written lesson not published)
  • A1.8 · Identify misleading data displays (written lesson not published)
  • A2.1 · Interpret statistics in everyday media (written lesson not published)
  • A2.2 · Identify sources and purposes of reported data (written lesson not published)
  • A2.3 · Assess sampling and survey questions (written lesson not published)
  • A2.4 · Identify bias in data and reports (written lesson not published)
  • A2.5 · Evaluate conclusions based on evidence (written lesson not published)
  • A2.6 · Communicate a reasoned data-based decision (written lesson not published)
B · Personal Finance

Borrowing, credit, saving, investing, budgeting, and major purchases.

  • B1.1 · Compare forms and costs of borrowing (written lesson not published)
  • B1.2 · Interpret credit agreements and statements (written lesson not published)
  • B1.3 · Calculate borrowing costs and payments (written lesson not published)
  • B1.4 · Compare credit options (written lesson not published)
  • B1.5 · Explain consequences of missed payments (written lesson not published)
  • B1.6 · Make responsible borrowing decisions (written lesson not published)
  • B2.1 · Identify reasons and methods for saving (written lesson not published)
  • B2.2 · Compare savings and investment options (written lesson not published)
  • B2.3 · Calculate simple and compound growth with technology (written lesson not published)
  • B2.4 · Interpret risk, return, and liquidity (written lesson not published)
  • B2.5 · Develop a savings plan for a goal (written lesson not published)
  • B2.6 · Revise a savings plan as conditions change (written lesson not published)
  • B3.1 · Identify income and regular living expenses (written lesson not published)
  • B3.2 · Prepare and monitor a personal budget (written lesson not published)
  • B3.3 · Research the full cost of a major purchase (written lesson not published)
  • B3.4 · Compare purchase and financing options (written lesson not published)
  • B3.5 · Estimate insurance and ownership costs (written lesson not published)
  • B3.6 · Adjust a budget for a major purchase (written lesson not published)
  • B3.7 · Make and justify a personal financial decision (written lesson not published)
C · Applications of Measurement

Measurement systems, scale, area, volume, and workplace projects.

  • C1.1 · Estimate and measure with appropriate units (written lesson not published)
  • C1.2 · Convert within and between measurement systems (written lesson not published)
  • C1.3 · Interpret precision and tolerance (written lesson not published)
  • C1.4 · Select measuring tools for a task (written lesson not published)
  • C1.5 · Solve practical measurement problems (written lesson not published)
  • C2.1 · Interpret scale drawings and maps (written lesson not published)
  • C2.2 · Calculate actual and scaled lengths (written lesson not published)
  • C2.3 · Create a scale drawing (written lesson not published)
  • C2.4 · Calculate perimeter and area of practical shapes (written lesson not published)
  • C2.5 · Calculate surface area and volume of practical objects (written lesson not published)
  • C2.6 · Decompose composite shapes and objects (written lesson not published)
  • C2.7 · Estimate material quantities and waste (written lesson not published)
  • C2.8 · Solve cost problems involving measurement (written lesson not published)
  • C3.1 · Read a workplace plan or diagram (written lesson not published)
  • C3.2 · Determine measurements and quantities for a project (written lesson not published)
  • C3.3 · Compare material and cost options (written lesson not published)
  • C3.4 · Plan the sequence of a measurement project (written lesson not published)
  • C3.5 · Complete calculations and check reasonableness (written lesson not published)
  • C3.6 · Communicate a practical project plan (written lesson not published)

Worked examples

Start with worked Grade 12 examples

These original examples introduce selected MEL4E expectations. The full expectation map is not a complete set of published written lessons or a substitute for official course materials and assignments. The strand-prefixed labels below identify the matching Ontario specific expectations; titles are concise study-guide paraphrases.

1. Credit-card interest estimate

Estimate one month of interest on a CAD 900 balance at 24% annual interest using 24%/12.

Worked method: The monthly rate is 2%. Interest is 900 × 0.02 = CAD 18.

فارسی · توضیح مثال

بهره یک ماه مانده ۹۰۰ دلاری با نرخ سالانه ۲۴٪ را با 24%/12 برآورد کنید. نرخ ماهانه ۲٪ است. بهره 900 × 0.02 = ۱۸ دلار است.

2. Materials from area

Flooring covers 2.5 m² per box. How many boxes cover 18 m²?

Worked method: 18 ÷ 2.5 = 7.2. You must buy whole boxes, so round up to 8 boxes.

فارسی · توضیح مثال

هر جعبه کف‌پوش ۲٫۵ متر مربع را می‌پوشاند. برای ۱۸ متر مربع چند جعبه لازم است؟ 18 ÷ 2.5 = 7.2 است. باید جعبه کامل خرید، پس به ۸ جعبه گرد می‌کنیم.

Try independently, then check

Write your own solution before opening each answer. If a step is unclear, review the matching expectation or a Grade 11 prerequisite.

Practice 1

A CAD 120 item has 13% tax. Find the total.

Show worked answer

120 × 1.13 = CAD 135.60.

فارسی · تمرین و پاسخ

کالای ۱۲۰ دلاری ۱۳٪ مالیات دارد. مبلغ کل را بیابید. 120 × 1.13 = ۱۳۵٫۶۰ دلار.

Practice 2

A scale drawing uses 1 cm for 0.5 m. What actual length is 7 cm?

Show worked answer

7 × 0.5 = 3.5 m.

فارسی · تمرین و پاسخ

در نقشه مقیاس‌دار ۱ سانتی‌متر برابر ۰٫۵ متر است. ۷ سانتی‌متر چه طولی است؟ 7 × 0.5 = ۳٫۵ متر.

Mathematical processes across expectations

These processes are practised throughout the course, rather than listed as separate lessons.

Source and coverage

Prerequisite: Grade 11 Mathematics for Work and Everyday Life (MEL3E). Confirm your current school timetable and admission requirements.

The expectation map follows the official Ontario mathematics curriculum. Titles are concise study-guide paraphrases; consult the official source for exact requirements. Compare all six Grade 12 paths.

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