Mathematics for College Technology

MCT4C prepares students for college programs in technology, engineering, and applied sciences. The course emphasizes problem-solving, modeling, and practical applications of algebra, geometry, trigonometry, and exponentials.

Students develop a strong foundation in math skills required for technical programs, including working with real-world data, interpreting mathematical models, and applying concepts to technology-driven contexts.

Unit 1: Exponential Functions
Students explore exponential relationships and their real-world applications.
Lessons include:

• Simplifying Exponential Expressions
• Solving Exponential Equations with Same Base
• Introduction to Logarithms
• Graphing Exponential and Logarithmic Functions
• Real-World Exponential Models

Unit 2: Polynomial Functions
This unit focuses on understanding and graphing polynomials.
Lessons include:

• Polynomial Expressions and Operations
• Factoring Techniques
• Graphing Polynomial Functions
• Solving Polynomial Equations
• Modeling and Comparing Polynomial Behaviours

Unit 3: Trigonometric Functions
Students apply trigonometry to right triangles and periodic phenomena.
Lessons include:

• Right-Angle Trigonometry Review
• Special Trigonometric Angles
• Sine and Cosine Laws
• Graphing Sine and Cosine Functions
• Transformations and Sinusoidal Modeling

Unit 4: Geometry and Measurement Applications
This unit introduces vector and measurement-based applications.
Lessons include:

• Introduction to Vectors
• Resolving Vectors into Components
• Metric and Imperial Systems
• Area, Volume, and Surface Area of Shapes
• Properties of Circles and Sectors

Unit 5: Final Evaluation
Students apply their reading and writing skills in two summative evaluations.
0 Lessons include:

• Final Exam
• Culminating Project

• 70% of the final grade is based on coursework, including:
  • Word problems and application-based assignments
  • Graphing tasks and modeling exercises
  • Trigonometric investigations
  • Unit tests, problem-solving activities, and quizzes
• 30% of the final grade is based on final evaluations:
  • 10% Culminating real-world math application project
  • 20% Final written exam assessing all math strands

All assessments follow Ontario curriculum standards and are designed to enhance mathematical reasoning, modeling, and applied problem-solving in preparation for college-level technical programs.