Appendix A: Essentials of Math 11 Prescribed Learning Outcomes

The organizers for Essentials of Math 11 are as follows:

Problem Solving
Relations and Formulas
Income and Debt
Data Analysis and Interpretation
Measurement Technology
Owning and Operating a Vehicle
Personal Income Tax
Applications of Probability
Business Plan

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
• 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

Relations and Formulas

It is expected that students will represent and interpret relations in a variety of contexts

It is expected that students will:

• express a linear relation of the form y = mx + b
  • in words
  • as a formula
  • with a table of values
  • as a graph
• interpolate and extrapolate values from the graph of a linear relation
• determine the slope of a linear relation and describe it in words and interpret its meaning in a problem context
• interpret the graph of a relation and describe it in words
• construct a graph of a relation from its description in words
• evaluate formulas

Income and Debt

It is expected that students will demonstrate an awareness of selected forms of personal income and debt

It is expected that students will:

• solve problems involving performance-based income, including commission sales, piece work, and salary plus commission
• use simple and compound interest calculations to solve problems
• solve consumer problems involving:
  • credit cards
  • exchange rates
  • personal loans

Data Analysis and Interpretation

It is expected that students will analyse data with a focus on the validity of its presentation and the inferences made

It is expected that students will:

• display and analyze data on a line plot
• manipulate the presentation of data to stress a particular point of view

Measurement Technology

It is expected that students will determine measurements in Systeme International (SI) and Imperial systems using different measuring devices

It is expected that students will:

• select and use appropriate measuring devices and measurement units in Imperial or SI systems
• perform basic conversions within and between the Imperial and SI systems, using technology as appropriate
• use measurement strategies to solve problems

Owning and Operating a Vehicle

It is expected that students will analyse the cost of acquiring and operating a vehicle

It is expected that students will:

• solve problems involving the acquisition and operation of a vehicle, including
  • renting
  • leasing
  • buying
  • licensing
  • insuring
  • operating (e.g., fuel and oil)
  • maintaining (e.g., repairs, tune-ups)

Personal Income Tax

It is expected that students will prepare a simple income tax form

It is expected that students will:

• prepare an income tax form for an individual who is single, employed, and without dependents

Applications of Probability

It is expected that students will demonstrate an awareness of the applications of probability to real world situations

It is expected that students will:

• express probabilities as ratios, fractions, decimals, percents, and in words
• use probability to predict the result in a given situation
• determine the odds for and against a particular event occurring
• compare experimental observations with theoretical predictions
• use probabilities to calculate expected gains and losses
• communicate and justify solutions to probability problems

Business Plan

It is expected that students will prepare a plan and operate a successful business

• prepare a business plan to own and operate a business that includes the following information as appropriate:
  • monthly cost of operation (e.g., inventory, rent, wages, insurance, advertising, loan payments, etc.)
  • hours of operation
  • estimated daily sales (average)
  • gross/net profit
  • hourly earnings
• draw a scale floor plan of the store

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

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