Online Algebra Workshop: Trigonometry for All!
Time & Location
About the Webinar
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, 2021
Time: Live workshop time is 7:00pm ET-US. All workshops are recorded and emailed to all participants.
Schedule: 6-sessions, meeting for 3 weeks on Tuesdays and Thursdays for one-hour live sessions with Michael Waski
Session 1: Similar Triangles: Laying the Ground Work
Ratio and Proportion
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
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
Coordinates of the Unit Circle
Session 6: Analytic Trigonometry
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.
- Trigonometry for All!$195$1950$0