Mathematics for Work and Everyday Life, Grade 12 (Workplace)

Unit 1: Reasoning With Data

Reading and building graphs from real sources; collecting and making inferences from categorical data; and understanding theoretical and experimental probability in everyday and media contexts.

• Reading and interpreting graphs from real sources
• Population versus sample and why sampling is necessary
• Collecting categorical data from primary and secondary sources
• Representing categorical data by constructing graphs
• Making and justifying inferences from graphed data
• Investigating a topic of personal interest using collected data
• How the media and advertisers use and misuse statistics
• Gathering information about data management in the workplace and daily life

• Determining and representing theoretical probability
• Identifying probability in the media and its representations
• Performing probability experiments and finding experimental probability
• Comparing theoretical and experimental probability
• How experimental probability approaches theoretical probability with more trials
• Using probability and statistics in the media to make informed decisions

Unit 2: Personal Finance

Comparing rental and owned accommodation and their costs; designing and adjusting real budgets; and understanding and filing a personal income tax return.

• Financial and non-financial implications of living independently
• Comparing the costs and advantages of different rental accommodation types
• Comparing purchase prices of different owned accommodation types
• Comparing ongoing living expenses of renting and owning
• Rights and responsibilities of tenants and landlords
• Generating a moving checklist and estimating moving costs

• Categorizing expenses as discretionary or non-discretionary
• Categorizing non-discretionary expenses as fixed or variable
• Reading and interpreting prepared budgets and how they reflect values
• Designing, explaining, and justifying a monthly budget from a case study
• Identifying factors in the affordability of accommodation
• Adjusting a budget for changed circumstances

• Why Canadians file a tax return and its major parts
• Gathering the documents required to file a tax return
• Comparing common tax credits and tax deductions
• Completing a simple personal income tax return
• Additional tax-filing information for a self-employed individual
• Comparing tax-filing services and resources
• Gathering information about personal finance applications in the workplace

Unit 3: Applications of Measurement

Measuring, estimating, and converting in metric and imperial units; areas, volumes, and scale drawings/models for real projects; and proportional reasoning in everyday and work situations.

• Measuring lengths and capacities with metric and imperial tools
• Estimating lengths and capacities using personal referents
• Estimating quantities and describing the strategies used
• Converting measures within the same system
• Converting measures between the metric and imperial systems

• Constructing accurate right angles and connecting to the Pythagorean theorem
• Applying perimeter in familiar contexts
• Estimating the areas and volumes of irregular shapes
• Solving real-world problems with areas of rectangles, triangles, circles, and composite shapes
• Solving real-world problems with volumes and surface areas of prisms and cylinders
• Constructing a 2D scale drawing of a familiar setting
• Constructing a 3D scale model of a personal-interest object or environment
• Planning, designing, and budgeting for a household improvement

• Identifying applications of ratio and rate, and equivalent ratios and rates
• Using unit rates to make comparisons
• Distinguishing proportional from non-proportional real-world situations
• Identifying consequences of errors in proportional reasoning
• Solving everyday-life problems using proportional reasoning
• Solving work-related problems using proportional reasoning