Virtual High School is excited to announce the launch of a new course: MCT4C, Mathematics for College Technology.  This grade 12 college level course prepares students for many careers in technology-related fields. This course expands on the concept of functions introduced in grade 11 and introduces several new concepts such as logarithms, trigonometric functions, and vectors. Students will learn how various functions apply in practical, real-world situations by solving various problems involving functions (algebraically, graphically, and by inspection), and converting between the Imperial and Metric systems of measure, both of which are encountered in technology-related fields.

Screenshot from MCT4C about classifying and adding polynomials.

In the first unit, students will focus on polynomial functions by learning how to solve these functions algebraically and graphically and to identify polynomials from their general shapes and key features.

In unit two, students review exponent rules and are introduced to exponential functions. Students explore how to solve exponential functions graphically and algebraically and will also learn about the relationship between logarithmic and exponential functions. Instruction also focuses on how logarithms can be used to solve exponential functions quickly and accurately.

In unit three, students review basic trigonometric ratios as well as how the unit circle relates to trigonometry. Practice is provided on using sine and cosine laws to solve problems.

In unit four, students take their understanding of trigonometry to the next level as they are introduced to trigonometric functions and their graphs.  The key features of these graphs are studied as well as how they can be manipulated to model many real-world applications of periodic events.

The final unit of the course focuses on concepts related to geometry where students are introduced to the concept of vectors and the three most common methods of vector addition and subtraction. Next, students will learn about the two common systems of measurement and will apply their knowledge of conversions to solve area and volume problems.

Lastly, students will focus on circle geometry where the focus is on the various properties relating to circles and circle geometry by combining what has been learned throughout the course to solve real-world applications of geometry.

As students progress through each unit of the course, they will develop a portfolio relating to a career that interests them. This will require students to 

  • select and explore a career through www.careercrusing.com;
  • summarize details of the career (typical tasks, income, education, locations, etc.);
  • determine the required mathematical knowledge for the career;
  • reach out to a person who works in the chosen career;
  • research post-secondary programs that will provide the education needed to achieve a job in their chosen career, and;
  • reflect on the research that they completed throughout the course.

This course is required for many college programs in variety of fields. Some possible careers include:

  • Engineering Technology/Technician (Civil, Electrical, Mechanical)
  • Urban Sustainability
  • Ecosystem Management
  • Architecture
  • Aviation
  • Computer Programming/Game Development
  • Astronomy
  • Optics

To be eligible for this course, students must have completed MCF3M or MCR3U previously. This course can also be used as a prerequisite to take MHF4U.