What MCT4C focuses on

MCT4C extends students’ knowledge of functions through the study of polynomial, exponential, and trigonometric functions. Students continue to represent functions numerically, graphically, and algebraically.

How students apply learning

Students simplify expressions, solve equations, and apply algebra, trigonometry, vectors, and geometry to multi-step problems. The course prepares students for a range of college technology programs.

Exponential equations and applications

• Recognize and represent exponential relationships numerically, graphically, and algebraically.
• Analyse key features of exponential graphs.
• Solve exponential equations graphically.
• Solve exponential equations algebraically using common bases.
• Use logarithms to solve exponential equations.
• Apply exponential models to real-world problems involving growth and decay.

Polynomial relationships and problem solving

• Recognize and evaluate polynomial functions.
• Describe key features of polynomial graphs.
• Connect numeric, graphical, and algebraic representations of polynomial functions.
• Solve polynomial equations by factoring.
• Make connections between polynomial functions and formulas.
• Apply polynomial expressions and models to practical situations.

Trigonometric ratios and sinusoidal models

• Determine trigonometric ratios for angles less than 360°.
• Solve problems using the primary trigonometric ratios.
• Apply the sine law and cosine law in practical situations.
• Connect numeric, graphical, and algebraic representations of sinusoidal functions.
• Describe amplitude, period, phase shift, and vertical displacement.
• Use sinusoidal functions to model periodic real-world phenomena.

Vectors, measurement, and geometric applications

• Represent vectors in geometric and algebraic forms.
• Add and subtract vectors.
• Solve problems using vector models.
• Apply measurement and geometry to two-dimensional shapes.
• Solve problems involving three-dimensional figures.
• Determine circle properties and apply them to real-world problems.

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, 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.
• Teacher-prepared notes, examples, worksheets, and practice activities support learning.
• Selected online mathematics resources and technology tools may be used.

Important supports

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

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