| MEADOWVALE MATHEMATICS PROGRAM | |||
|---|---|---|---|
MCR 3U0 (University) |
MCB 4U0 (University) |
||
| Grade 10 Courses | |
|---|---|
| Principles
of Mathematics This course enables students to broaden their understanding of relations,
extend their skills in multi-step problem solving, and continue to develop
their abilities in abstract reasoning. Students will pursue investigations
of quadratic functions and their applications; solve and apply linear
systems; solve multi-step problems in analytic geometry to verify properties
of geometric figures; investigate the trigonometry of right and acute
triangles; and develop supporting algebraic skills. |
Foundations
of Mathematics This course enables students to consolidate their understanding of
key mathematical concepts through hands-on activities and to extend
their problem-solving experiences in a variety of applications. Students
will solve problems involving proportional reasoning and the trigonometry
of right triangles; investigate applications of piecewise linear functions;
solve and apply systems of linear equations; and solve problems involving
quadratic functions. The effective use of technology in learning and
in solving problems will be a focus of the course. |
Locally
Developed Mathematics This course emphasizes the extension or mathematical knowledge and
skills to prepare students for success in their everyday lives, in the
workplace, and in the Mathematics Grade 11 and Grade 12 Workplace Preparation
courses. The course is organized by three strands related to money sense,
measurement, and proportional reasoning. In all strands, the focus is
on strengthening and extending key foundational mathematical concepts
and skills by solving authentic, everyday problems. Students have opportunities
to extend their mathematical literacy and problem-solving skills and
to continue developing their skills in reading, writing, and oral language
through relevant and practical math activities. | |
Grade 11 Courses | |
|---|---|
| Functions
and Relations This course introduces some financial applications of mathematics,
extends students’ experiences with functions, and introduces second-degree
relations. Students will solve problems in personal finance involving
applications of sequences and series; investigate properties and applications
of trigonometric functions; develop facility in operating with polynomials,
rational expressions, and exponential expressions; develop an understanding
of inverses and transformations of functions; and develop facility in
using function notation and in communicating mathematical reasoning.
Students will also investigate loci and the properties and applications
of conics. |
Functions This course introduces some financial applications of mathematics and
extends students’ experiences with functions. Students will solve
problems in personal finance involving applications of sequences and
series; investigate properties and applications of trigonometric functions;
develop facility in operating with polynomials, rational expressions,
and exponential expressions; develop an understanding of inverses and
transformations of functions; and develop facility in using function
notation and in communicating mathematical reasoning. |
Mathematics
of Personal Finance This course enables students to broaden their understanding of exponential
growth and of important areas of personal finance. Students will investigate
properties of exponential functions and develop skills in manipulating
exponential expressions; solve problems and investigate financial applications
involving compound interest and annuities; and apply mathematics in
making informed decisions about transportation, accommodation, and career
choices. |
Mathematics
for Everyday Life This course enables students to broaden their understanding of mathematics
as it is applied in important areas of day-to-day living. Students will
solve problems associated with earning money, paying taxes, and making
purchases; apply calculations of simple and compound interest in saving,
investing, and borrowing; and calculate the costs of transportation
and travel in a variety of situations. |
| Grade 12 Courses | |
|---|---|
|
Geometry and Discrete Mathematics This course enables students to broaden mathematical knowledge and
skills related to abstract mathematical topics and to the solving of
complex problems. Students will solve problems involving geometric and
Cartesian vectors, and intersections of lines and planes in three-space.
They will also develop an understanding of proof, using deductive, algebraic,
vector, and indirect methods. Students will solve problems involving
counting techniques and prove results using mathematical induction. |
College
and Apprenticeship Mathematics This course equips students with the mathematical knowledge and skills
they will need in many college programs. Students will use statistical
methods to analyse problems; solve problems involving the application
of principles of geometry and measurement to the design and construction
of physical models; solve problems involving trigonometry in triangles;
and consolidate their skills in analyzing and interpreting mathematical models. |
Advanced
Functions and Introductory Calculus This course builds on students’ experience with
functions and introduces the basic concepts and skills of calculus.
Students will investigate and apply the properties of polynomial, exponential,
and logarithmic functions; broaden their understanding of the mathematics
associated with rates of change; and develop facility with the concepts
and skills of differential calculus as applied to polynomial, rational,
exponential, and logarithmic functions. Students will apply these skills
to problem solving in a range of applications. |
Mathematics
for College Technology 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 analyse models of a variety
of functions, solve problems involving piecewise-defined functions,
solve linear-quadratic systems, and consolidate key manipulation and
communication skills. |
Mathematics
of Data Management This course broadens students’ understanding of mathematics as
it relates to managing information. Students will apply methods for
organizing large amounts of information; apply counting techniques,
probability, and statistics in modeling and solving problems; and carry
out a culminating project that integrates the expectations of the course
and encourages perseverance and independence. Students planning to pursue
university programs in business, the social sciences, or the humanities
will find this course of particular interest. |
Mathematics
for Everyday Life This course enables students to broaden their understanding of mathematics
as it is applied in important areas of day-to-day living. Students will
use statistics in investigating questions of interest and apply principles
of probability in familiar situations. They will also investigate accommodation
costs and create household budgets; solve problems involving estimation
and measurement; and apply concepts of geometry in the creation of designs. |