Grade 11, University Preparation
Prerequisite: Grade 10 Mathematics, Academic, minimum of 75%.
Course Development: Ontario Ministry of Education
Author of Course: Kevin Leung
First Published: September 3, 2003.
Course Outline:
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.
Expectations - By the end of this course, students will:
1) solve problems involving arithmetic and geometric sequences and series;
2) solve problems involving compound interest and annuities;
3) solve problems involving financial decision making, using spreadsheets or other appropriate technology.
4)solve problems involving the sine law and the cosine law in oblique triangles;
demonstrate an understanding of the meaning and application of radian measure;
determine, through investigation, the relationships between the graphs and the equations of sinusoidal functions;
5) solve problems involving models of sinusoidal functions drawn from a variety of applications.
6) demonstrate facility in manipulating polynomials, rational expressions, and exponential expressions;
7) demonstrate an understanding of inverses and transformations of functions and facility in the use of function notation;
8) communicate mathematical reasoning with precision and clarity throughout the course.
9) represent loci, using various models (e.g., a verbal description, a diagram, a dynamic model, an equation);
10) determine the equation and the key features of a conic;
solve problems involving applications of the conics.
Units of Study
Chapter 1: Tools for operating with Functions
Chapter 2: Quadratic Functions & Equations
Chapter 3: Transformations of Functions
Chapter 4: Trigonometry
Chapter 5: Trigonometric Functions
Chapter 6: Sequences & series
Chapter 7: Compound Interest & Annuities
Chapter 8: Conics
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