Essential Mathematics, Grade 12 (40S)

Unit 1: Analysis of Games and Numbers

Analyzing puzzles and games that involve logical reasoning using problem-solving strategies.

• Strategies for puzzles and games

• Applying strategies to a new game

Unit 2: Vehicle Finance

The acquisition, operation, and maintenance of a vehicle when buying, leasing, or leasing to buy.

• Buying, leasing, or leasing to buy
• Operating and insuring a vehicle
• Justifying a vehicle decision

Unit 3: Statistics

Measures of central tendency (including weighted and trimmed mean) and percentiles.

• Mean, median, mode, and outliers
• Weighted and trimmed mean

• Understanding percentiles
• Percentile rank and decisions

Unit 4: Precision Measurement

The limitations of measuring instruments: precision, accuracy, uncertainty, and tolerance.

• Precision versus accuracy
• Uncertainty and tolerance

Unit 5: Career Life

Creating a plan for the future, including possible career choices and their requirements.

• Choosing a career and preparing a resume
• Budgeting for a career and lifestyle

Unit 6: Home Finance

The purchase and maintenance of a house, including mortgages, insurance, property tax, and feasibility.

• Mortgages and purchase costs
• Home insurance and owning versus renting
• Property tax, maintenance, and feasibility

Unit 7: Geometry and Trigonometry

The sine and cosine laws and the properties of triangles, quadrilaterals, and regular polygons.

• Solving triangles with the sine and cosine law

• Triangles and quadrilaterals
• Regular polygons and applications

Unit 8: Business Finance

The viability of small-business options and the taxation forms and procedures of owning a business.

• Business expenses and feasible options
• Break-even and profitability

• Business taxation forms and deductions

Unit 9: Probability

Analyzing and interpreting problems that involve probability, odds, and expected gain or loss.

• Probability and odds
• Expected gain or loss and applications