Appendix A: Essentials of Math 12 Prescribed Learning Outcomes

The organizers for Essentials of Math 12 are as follows:

Problem Solving
Personal Finance
Design and Measurements
Government Finances
Investments
Taxation
Variation and Formulas
Life/Career Project

It is expected that students will use a variety of methods to solve real-life, practical, technical, and theoretical problems

It is expected that students will:

• solve problems that involve a specific content area
• solve problems that involve more than one content area
• solve problems that involve mathematics within other disciplines
• analyse problems and identify the significant elements
• develop specific skills in selecting and using an appropriate problem-solving strategy or combination of strategies chosen from, but not restricted to, the following:
  • guess and check
  • look for a pattern
  • make a systematic list
  • make and use a drawing or model
  • - eliminate possibilities
  • work backward
  • simplify the original problem
  • develop alternative original approaches
  • analyse keywords
• demonstrate the ability to work individually and co-operatively to solve problems
• determine that their solutions are correct and reasonable
• clearly communicate a solution to a problem and the process used to solve it
• interpret their solutions by describing what the solution means within the context of the original problem
• use appropriate technology to assist in problem solving

Personal Finance

It is expected that students will solve consumer problems involving insurance, mortgages and loans

It is expected that students will:

• solve problems involving different types of insurance
• determine the costs involved in purchasing a home, including gross debt service ratio
• solve problems involving different types of mortgages

Design and Measurements

It is expected that students will analyse objects, shapes and processes to solve cost and design problems

It is expected that students will:

• analyze objects shown in "exploded" format
• draw objects in "exploded" format
• solve problems involving estimation and costing for objects, shapes, or processes when a design is given
• design an object within a specified budget

It is expected that students will demonstrate an awareness of the income and expenditures of federal, provincial and municipal governments

It is expected that students will:

• describe government expenditures including the amounts spent on social welfare benefits, social security, education, health care, policing, armed forces, and employee wages and salaries
• solve problems involving the calculation of selected federal taxes (e.g., GST, excise tax and duties)
• calculate provincial taxes, (e.g., PST, corporation capital, licenses, gasoline)
• determine how selected municipal taxes are calculated (e.g., property)

Investments

It is expected that students will demonstrate and recognize the differences concerning different types of financial investments

It is expected that students will:

• determine a financial plan to achieve personal goals
• describe different investment vehicles (e.g., GICs, bonds, mutual funds, stocks, and real estate)
• compare and contrast different investment vehicles in terms of risk factors, rates of return, costs, and lengths of term
• identify reasons for investing money in RRSPs and RESPs
• investigate how to purchase and sell stocks

Taxation

It is expected that students will demonstrate an ability to fill out an income tax form

It is expected that students will:

• fill out income tax forms for:
  • a single parent with child
  • a married couple with one person earning an income
  • a married couple with child

Variation and Formulas

It is expected that students will use algebraic and graphical models to generate patterns, make prediction and solve patterns

It is expected that students will:

• plot and analyse examples of direct variation, partial variation, and inverse variation
• given data, graph, or a situation, recognize the variation represented
• use formulas to solve problems

Life/Career Project

It is expected that students will research career choices and perform a comparative study

It is expected that students will:

• determine what factors are important in analysing careers
• describe two specific career opportunities
• identify mathematical educational requirements for two careers
• compare two careers in terms of salary, working hours, training time and cost, cost of living, and benefits

© 2000 Copyright. All Rights Reserved. Curriculum Branch.
Maintained by: Mathematics Coordinator
Revised: November 28, 2000

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