Manitoba
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Education, Citizenship and Youth

Grade 12 Consumer Mathematics (40S) Outcomes by Unit

Half Course V
Unit A: Problem Analysis
Unit B: Analysis of Games and Numbers
Unit C: Personal Finance
Unit D: Design and Measurement
Unit E: Government Finances
Unit F: Statistics
Unit G: Investigative Project

Half Course VI
Unit A: Problem Analysis
Unit B: Analysis of Games and Numbers
Unit C: Career/Life Project
Unit D: Investments
Unit E: Income Tax
Unit F: Variation and Formulas
Unit G: Completing a Portfolio

 

Half Course V

Unit A: Problem Analysis

Develop and use mathematical strategies to solve problems in different situations
Explain and solve problems using a variety of non-algebraic approaches (A-1)
Describe the approach and the mathematics used in solutions to problems or activities (A-2)

 

Unit B: Analysis of Games and Numbers

Develop, use, and justify mathematical strategies by analyzing a variety of puzzles and games; develop an awareness of how numbers are used in society
Demonstrate the use of an appropriate strategy in solving puzzles and playing games involving patterns (B-1)
Explain how numbers are used throughout society to designate, categorize, or order things and events (B-2)

 

Unit C: Personal Finance

Demonstrate an awareness of and show the ability to solve problems involving insurance, mortgages, and loans
Solve problems involving different types of insurance (C-1)
Solve problems involving mortgages (C-2)
>Describe the costs involved in purchasing a home (C-3)
Interpret the Gross Debt Service Ratio to determine the economic feasibility of a home purchase (C-4)

 

Unit D: Design and Measurement

Analyze objects, shapes, and processes to solve cost and design problems
Draw simple objects as oblique projections (D-1)
Sketch simple object s in "exploded" format (D-2)
Draw the constituent parts of a simple object to scale (D-3)
Describe the differences among oblique projections, "exploded" diagrams, and constituent parts diagram for objects (D-4)
Solve problems involving estimation and costing for objects, shapes, or processes when a design is given (D-5)
Plan the construction of an object within a specified budget (D-6)

 

Unit E: Government Finances

Demonstrate an understanding of federal, provincial, and municipal revenues and expenditures
Interpret, based on charts or tables, the largest expenditures for each of the three levels of government (E-1)
Interpret, based on charts or tables, major sources of revenue for federal, provincial, and municipal levels of government (E-2)
Solve and explain the solution of problems involving federal taxes such as GST, excise taxes, and customs duties (E-3)
Solve and explain the solution of problems involving foreign currency exchange (E-4)
Solve and explain the solution of problems involving selected provincial taxes such as PST, fuel, and tobacco (E-5)
Explain the determination of education taxes, municipal mill rates, and municipal taxes (E-6)

 

Unit F: Statistics

Analyze data in graphical and tabular form to derive information and meaning
Make and justify inferences from graphical and tabular data (F-1)
Determine the percentile rank of an item in a set of sample data (F-2)
Distinguish between percent and percentile rank (F-3)
Use standard deviation to describe the variability within a set of data (F-4)
Wxplain the variability of data using standard deviation and the normal curve (F-5)
Describe the relationship between the correlation coefficient and two data sets (F-6)

 

Unit G: Investigative Project

Complete an investigative project related to consumer mathematical skills, strategies, and activities
Conduct an investigation requiring the use of data and mathematical problem solving and decision making (G-1)
Develop a structured report of an investigative study related to consumer mathematics (G-2)

 

Half Course VI

Unit A: Problem Analysis

Develop and use mathematical strategies to solve problems in different situations
Explain and solve problems using a variety of non-algebraic approaches (A-1)
Describe the approach and the mathematics used in solutions to problems or activities (A-2)

Unit B: Analysis of Games and Numbers

Develop, use, and justify mathematical strategies by analyzing a variety of puzzles and games; develop an awareness of how numbers are used in society
Demonstrate the use of an appropriate strategy in solving puzzles and playing games involving patterns (B-1)
Explain how numbers are used throughout society to designate, categorize, or order things and events (B-2)

 

Unit C: Career/Life Project

To analyze career choices and the factors that determine different lifestyles
Describe factors important in selecting careers (factors such as: job description, educational background, salary/wage levels, employment opportunities, opportunities for advancement (C-1)
Analyze the lifestyle one specific career could entail (in terms of monthly budget, lifestyle appropriate to the career, and any negative factors in the job) (C-2)

 

Unit D: Investments

Demonstrate an awareness of and recognize the differences concerning different types of financial investments
Explain how financial values and goals affect investment choices (D-1)
Describe different investment options e.g., GICs, bonds, mutual funds, stocks, and real estate (D-2)
Compare and contrast different investment options in terms of risk, rates of return, costs, liquidity, and lengths of term (D-3)
Identify reasons for investing money in registered saving plans (RSPs) (D-4)
Describe the purchasing and selling of stocks (D-5)
Adjust financial plans including budgets, to achieve personal goals (D-6)
Interpret Net Worth Statements (D-7)

 

Unit E: Income Tax

Demonstrate an ability to complete an income tax form
Explain the purpose of different sections of the T1 General Income Tax Form (E-1)
Using software and printed forms, complete income tax forms for:
  1. a single parent with a child
  2. a married couple (E-2)

 

Unit F: Variation and Formulas

Use algebraic and graphical models to generalize patterns, make predictions, and solve problems
Plot and analyze examples of direct variation, partial variation, and inverse variation (F-1)
Given data, graphs, or a situation, interpret the variation represented (F-2)
Use formulas given in the question to solve problems (F-3)
Select and use given formulas to solve problems (F-4)

 

Unit G: Completing a Portfolio

Demonstrate an ability to organize a portfolio and discuss its contents in terms of consumer mathematics skills, strategies, and activities
Develop a portfolio of consumer mathematics skills, strategies, and activities (G-1)
Discuss the contents of the portfolio and their relation to consumer mathematics (G-2)
Justify the inclusion of portfolio items (G-3)