2022 Online Workshop: Trigonometry for All

Workshop sessions will be held on Tuesdays and Thursdays for 3 weeks from 7:00 PM EDT - 8:00 PM EDT starting June 21st, 2022.

Details:

2022 Dates - June 21, 23, 28, and July 5, 7, 12

Time - Live workshop will begin at 7:00 EDT-US and last 1 hour (Sessions will be recorded and emailed to participants)

Cost - $195 per attendee

Course Syllabus: 

Session 1: Similar Triangles: Laying the GroundWork

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 an 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.

Certificates of Completion will be emailed to the participants at the conclusion of the workshop (16 hours)