What MAP4C focuses on

MAP4C broadens students’ understanding of real-world applications of mathematics through mathematical modelling, personal finance, geometry, trigonometry, and data management.

How students apply learning

Students analyse data, solve financial and measurement problems, simplify expressions, solve equations, and communicate their reasoning while working through multi-step problems connected to college programs and workplace situations.

Algebraic relationships and real-world modelling

• Evaluate powers with rational exponents.
• Simplify algebraic expressions involving exponents.
• Solve exponential equations graphically and using common bases.
• Interpret trends shown in graphs.
• Compare graphs using initial conditions and rates of change.
• Model relationships graphically and algebraically.
• Connect formulas with linear, quadratic, and exponential relations.
• Solve problems using formulas from real-world applications.
• Explore the use of mathematical modelling in different occupations.

Annuities, housing, and budgeting

• Develop an understanding of annuities.
• Solve annuity and mortgage problems using technology.
• Gather and interpret information about renting accommodation.
• Gather and interpret information about owning accommodation.
• Compare the costs associated with renting and owning.
• Design budgets for individuals and families in case studies.
• Justify and adjust budgets when financial conditions change.
• Explore personal finance applications in everyday life and occupations.

Measurement, optimization, and trigonometric applications

• Solve real-world problems involving measurement and geometry.
• Explain the importance of optimal dimensions.
• Determine optimal dimensions of two-dimensional shapes.
• Determine optimal dimensions of three-dimensional figures.
• Use primary trigonometric ratios for acute angles.
• Use primary trigonometric ratios for obtuse angles.
• Apply the sine law and cosine law.
• Solve workplace and real-world trigonometry problems.
• Explore occupational applications of geometry and trigonometry.

Two-variable data and statistical interpretation

• Collect two-variable data using appropriate methods.
• Organize and summarize data using suitable tools.
• Analyse relationships between two variables.
• Interpret graphs, tables, and statistical information.
• Draw conclusions from collected data.
• Evaluate how data management is used by the media.
• Examine the use of data in advertising.
• Explore applications of data management in various occupations.

How grades are calculated

• 70% — Course work completed throughout the course.
• 30% — Final evaluation, including summative work and examination.
• Knowledge & Understanding: 20%
• Thinking and Inquiry: 20%
• Application: 40%
• Communication: 20%
• Evidence of learning is gathered through products, observations, and conversations.
• Assessment tools may include quizzes, tests, worksheets, projects, presentations, checklists, problem-solving tasks, and rubrics.

Main course resources

• This course is entirely online and does not require a specific textbook.
• Students require access to a scanner or digital camera for submitting work.
• McGraw-Hill Ryerson Foundations for College Mathematics 12, 2009, may be used as a reference.
• Pearson Foundations for College Mathematics 12, 2009, may be used as a reference.
• Teacher-prepared notes, examples, worksheets, and practice activities support learning.
• Selected online mathematics tools and resources may be used.

Important supports

Program planning includes varied instructional approaches, accommodations for students with special education needs, environmental education, critical thinking, literacy, technology use, career education, cooperative education, and academic honesty.

Students learn through direct instruction, discussion, worksheets, independent work, collaborative activities, problem solving, research, technology-supported tasks, and teacher feedback.

Learning activities emphasize clear mathematical communication, interpretation of charts and graphs, and practical applications in personal, workplace, and community contexts.