Grade 12 Mathematics for College Technology – MCT4C1
Pre-requisite: MCF3M1
Course Overview:
This course will equip students with the mathematical knowledge and skills needed for entry into college
technology programs or mathematics focused programs at the college level. Students will investigate and
apply properties of polynomial, exponential and logarithmic functions; solve problems involving inverse
proportionality; and explore the properties of reciprocal functions. They will also analyse models of a
variety of functions, solve problems involving piece-wise defined functions, solve linear-quadratic systems,
and consolidate key manipulation and communication skills. This course also enables students to consolidate
and expand many pre-calculus concepts explored in previous mathematics courses. Contextual applications
and technological tools are integrated throughout to support the development of new skills and the
exploration of a variety of mathematical models
Course Objectives:
Topics:
1. Trigonometry



determine the values of the trigonometric ratios for angles less than 360º, and solve problems using
the primary trigonometric ratios, the sine law, and the cosine law;
make connections between the numeric, graphical, and algebraic representations of sinusoidal
functions;
demonstrate an understanding that sinusoidal functions can be used to model some periodic
phenomena, and solve related problems, including those arising from real-world applications
2. Polynomials



recognize and evaluate polynomial functions, describe key features of their graphs, and solve
problems using graphs of polynomial functions;
make connections between the numeric, graphical, and algebraic representations of polynomial
functions;
solve polynomial equations by factoring, make connections between functions and formulas, and solve
problems involving polynomial expressions arising from a variety of applications
3. Exponents and logarithms


solve problems involving exponential equations graphically, including problems arising from real-world
applications;
solve problems involving exponential equations algebraically using common bases and logarithms,
including problems arising from real-world applications
4. Applications of Geometry


represent vectors, add and subtract vectors, and solve problems using vector models, including those
arising from real world applications;
solve problems involving two-dimensional shapes and three-dimensional figures and arising from realworld applications;

determine circle properties and solve related problems, including those arising from real-world
applications.
Course Evaluation:
Knowledge/Understanding
Application
Thinking/Inquiry/Problem Solving
Communication
Culminating task
Final Examination
Total
20%
20%
15%
15%
5%
25%
100%
Student Responsibilities:
Student will require the following materials for the course:
 A two inch binder and dividers
 Pens, pencils, eraser, ruler, scientific calculator
 Lined and grid paper
 Agenda (please bring to class each day)
Student Expectations and Guidelines:
1. Be respectful: Show respect, courtesy and consideration to instructor and classmates. This includes listening
when others are speaking and raising your hand to ask or answer a question or to make a comment. I encourage
class discussion but it must be orderly.
2. Be prepared: This includes being on time for class, being in uniform, and arrive to every class with your
textbook, course binder, graph paper, pen and pencils.
3. Be responsible: If you are absent from class, you are responsible for completing all assigned work, obtaining
from the instructor and/or fellow students any notes, assignments, etc. that you have missed. It is up to you to
approach me if you are having difficulties in the course, and we can arrange a mutually convenient time for extra
help.
4. Be Here: Regular class attendance and constructive use of time will greatly affect your achievement in the
course.
5. Be Tidy: In consideration to other students using the same classroom, NO graffiti should be drawn on the desk,
and absolutely NO food or drink (except for water) is allowed in class. When leaving the classroom, we ask that
the desk and chair are returned to their original position, and any used or scrap paper placed in the recycling bin.