Trigonometry Explored: From Circles to Complex Angles
In this 4-week course, students will be introduced to the ways in which the three main trigonometry ratios, sine, cosine, and tangent, can extend beyond right triangles into a wide variety of situations and applications.
Erin Townley
Average rating:
5.0
Number of reviews:(1)
What's included
12 live meetings
11 in-class hoursHomework
2-4 hours per week. 3-6 per weekCertificate of Completion
Although no grades are given for this course, students who attend every class will be given a certificate of completion and declared a "Titan of Trigonometry"Class Experience
US Grade 9 - 12
Intermediate Level
This course is intended to give students an opportunity to learn about the concept trigonometry and how it extends beyond simple right triangles. The course is intended to be an extension of the basic right triangle trigonometry that students learn in geometry, so learners should have completed a full geometry course prior to this one. Although we will have a set amount of content to cover each class, the class dynamics and procedures will be tailored to the unique make-up of each group. Larger groups will have more opportunity to work with partners and small group dynamics, while smaller groups will have more individual check-ins with me. The class will meet three times a week, and each meeting is 55 min to allow for ample time to explore, discuss, and practice the concepts presented. I encourage my students to be active learners by asking and answering questions, offering explanations, etc., as this enriches the experience and the learning for all students. There will be no required homework assigned in this class, but optional homework assignments/extra practice will be provided after each class meeting for students to complete when needed.
Learning Goals
Students will learn the concept of radian measure of angles.Students will derive the necessary components and ideas to create the unit circle and understand its meaning.
Syllabus
3 Units
12 Lessons
over 4 WeeksUnit 1: Radians and the Unit Circle
Lesson 1:
Intro to Radians and Geometry Review
In this lesson, we will learn how to measure angles in radians and how radians and degrees relate to one another. To solidify our understanding of radians, we will practice a variety of geometry problems, including solving right triangles and finding arc length and sector area. 55 mins online live lesson
Lesson 2:
Introduction to the Unit Circle
In this lesson, we will discover how right triangle trigonometry can be used to create the unit circle. We will also explore the relationship between the four quadrants of the graph and the angles that are created. 55 mins online live lesson
Lesson 3:
Using the Unit Circle
In this lesson, we will practice using the unit circle to answer a wide variety of questions, so that students can fully understand how it can be used as a tool. 55 mins online live lesson
Lesson 4:
Some Trigonometry Properties and Solving Equations
In this lesson, we will extend our understanding of the unit circle and its uses by deriving some of the relevant formulas and solving trigonometric equations. 55 mins online live lesson
Other Details
Pre-Requisites
Students should have completed both a full Algebra 1 and a Geometry course prior to taking this class.
Supply List
Paper Pen or Pencil Graphing Calculator (Numworks is what I will be demonstrating with, but that calculator is not required for students)
External Resources
In addition to the Outschool classroom, this class uses:
Joined June, 2024
5.0
1reviews
Teacher expertise and credentials
Texas Teaching Certificate in Mathematics
Master's Degree in Mathematics from University of Houston
Although I don't recall loving trigonometry when I learned it as a student, my experience teaching it to both high school and college students over the years has made me fall in love. I understand that these topics are neither easy nor intuitive for many students, so I am excited to offer the opportunity to change that!
In addition to my love of the subject, I have the following qualifications:
-B.A. in Mathematics from Rice University
-M.A in Mathematics from University of Houston
-Texas Teaching Certificate
-almost 15 years teaching and tutoring courses that teach and/or use logarithmsReviews
Live Group Course
$60
weekly or $240 for 12 classes3x per week, 4 weeks
55 min
Completed by 2 learners
Live video meetings
Ages: 13-17
4-12 learners per class
