[M15]Math Adv.Function G12 （7月）Vince

Code: M15
Teacher: Mr. Vince
Grade: G12 (Finished Function)
Number of Sessions: 16*2.5 hour +2 hour exam (7/28)

This course extends students' experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills.

 Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course.

Description:

This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships.

Lesson 1 Polynomial Functions – Prerequisite Skills
             Power Function
Lesson 2 The Remainder Theorem & The Factor Theorem (1)
              The Remainder Theorem & The Factor Theorem (2)
Lesson 3  Linear Function 
Lesson 4  Radian Measure
Lesson 5  Review and practice (1)
Lesson 6   Graphs & Transformations of sine, Cosine
Lesson 7 Graphs & Transformations of sine, Cosine
Lesson 8 Tangent Function
Lesson 9 Tangent Function
Lesson 10 The Exponential Functions (1)
Lesson 11 Equivalent Forms
Lesson 12 Techniques for Solving Exponential Equations
Lesson 13 Review and practice (2) Final Exam