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Trigonometry is one of the more practical mathematical tools students should know about and it can be done with students as soon as they know about similar triangles.  This workshop will introduce the concepts of trigonometry the right way for students of all ages, and will be expanded to more advanced work either for older students or interested younger students.  Ages: Grades 7-12.

Dates: April 6, 8, 13, 15, 20, 22 7:00 pm EST - 8:00 pm EST 

Schedule: 6-sessions, meeting for 3 weeks on Tuesdays and Thursdays for one-hour live sessions with Michael Waski

Cost: $195

Course Syllabus: 

Session 1: Similar Triangles: Laying the Ground Work

Ratio and Proportion

Similarity

Internal and External Ratios

Finding Unknowns in Similar Triangles

Three Special Cases of Similar Triangles

Session 2: Discovering Trigonometry through the History of Astronomy

How big is the Earth?

How far away is the moon?

How far away is the sun?

How far away are the stars? (Time permitting)

Session 3: Right-Angled Trigonometry

Discovering Tangent (or any function)

Defining Sine, Cosine, and Tangent

Defining Secant, Cosecant, and Cotangent

Etymology

Inverses

Applying Trigonometry in Applications

Session 4: Trigonometry with Non-Right Triangles

Discovering the Law of Sines

Discovering the Law of Cosines

Brahmagupta’s Theorem (Time Permitting)

Session 5: The Unit Circle

Radian Measure

Special triangles

Coordinates of the Unit Circle

Evaluating Trigonometric

Session 6: Analytic Trigonometry

Trigonometric Identities

Graphing Trigonometric Functions

This online workshop will be a introduction to lessons in Later Algebra. These correspond with Teaching Algebra to the Adolescent, Volume 2: A Montessori Approach. Session topics include sequences, complex numbers, exponential and logarithmic activities.