MCT4C,
Mathematics for College Technology,
Grade 12, College Preparation (1 credit)
What
You Will Learn:
This course equips students with the mathematical knowledge
and skills needed for entry into college technology
programs. 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 analyze models of a variety of functions,
solve problems involving piecewise-defined functions,
solve linear-quadratic systems, and consolidate key
manipulation and communication skills.
Students entering mathematics-focused programs at the
college level benefit from MCT4C. This course 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
Outline:
Units:
-
Polynomial Functions and Inverse Proportionality:
characteristics of the graphs of polynomial functions
of various degrees; manipulate polynomials; understand
inverse proportionality; determine the properties
of reciprocal functions.
-
Exponential and Logarithmic Functions: exponential
growth and decay; define and apply logarithmic functions.
-
Applications and Consolidation: analyze models of
functions drawn from various applications; predict
future behavior by extrapolating from a model of a
function; interpret models of piece-wise functions;
solve linear-quadratic systems and interpret their
solutions within the contexts of applications; carry
out key manipulation skills (ratio, rate, percent,
trig ratios in right angles and sine and cosine laws
in oblique triangles; simplifying rational expressions
and operating with exponents).
Resources/ materials used:
-
Class handouts, textbook.
This
course introduces students to vocabulary and concepts
in Chemistry and prepares them for further work in the
areas of Biology or Chemistry and/or Health Sciences.
Related
Courses:
-
MCF3M Grade 11 Functions (College
Preparation)
Further
information
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How
you will spend your time:
Class time will be a combination of teacher presentations,
class discussion, individual, pair and group work, presentations.
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