Principles of Mathematics 11, version 04 (4 credits)

The student must supply a scientific calculator (one with Cos, Sin, and Tan keys). In Modules 2 and 3, either a graphing calculator or a Web-based graphing tool are options which will assist the student to some extent. For Module 4, a graphing calculator is required. Instruction is provided in the course for using the TI-83 model, but other graphing calculator models from Sharp, Casio, and Hewlett-Packard may be used. If the student has a graphing calculator for the entire course, it will also serve as a scientific calculator so a separate scientific calculator will not be needed.

It is recommended that students complete:
•     Principles of Mathematics 10

Weighting - Tests 60% / Assignments 40%

This is an academic mathematics course leading to postsecondary programs. Its focus is on algebraic and geometric problem solving.

Module 1: Wage-Earner Math and Mathematics 10 Review

Section 1: Consumer Mathematics—income, cheque books, credit buying, investments
Section 2: Mathematics 10 Review—powers and exponents, radical expressions, rational expressions, functions and relations
There is no test in Module 1.

Module 2: Algebra

Section 1: Quadratic Functions and their applications.
Section 2: Solving equations graphically and by factoring; the quadratic equation; radical, rational, and absolute value equations.
Module 2 Test covers the work of Module 2.

Module 3: Geometry and Trigonometry

Section 1: Circle Geometry
Section 3: Analytic Geometry I—Circle graphs; distances from points to lines; solving systems of equations containing two and three variables.
Section 4: Analytic Geometry II—Applications of systems; Graphing inequations and finding their solution sets; Co-ordinate geometry proofs.
Module 3 Test covers the work of Module 3.

Module 4: Logic and Higher Order Functions

Section 2: Functions—Higher order functions, function operations, remainder and factor theorems, polynomial and rational functions.
Section 3: Graphing Calculator Functions—Features, graph and solve polynomials, graph rational functions.
Module 4 Test covers the work of Modules 2, 3, and 4.

The student will also need graph paper, protractor, and a simple pair of compasses or a circle template for drawing circles.
No textbook is required for this course.