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Trigonometry: Introduction | Precalculus, Module 5

Avrila at Math With Avrila
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In this one-month precalculus-level unit, learners will start studying trigonometry.

Class Experience

US Grade 10 - 12
  • Learners will use and interpret angle and radian measurement. Learners will understand and calculate with sine, cosine, tangent, secant, cosecant, and cotangent ratios, from both a right-triangle and a unit-circle perspective. Learners will diagram and efficiently calculate exact values for trigonometric ratios for angles which are multiples of 30 or 45 degrees (pi/6 or pi/4). Learners will use technology to estimate values for trigonometric ratios for other angles. Learners will graph trigonometric functions. Learners will be familiar with features of graphs of trigonometric functions, such as periodicity, maxima and minima, and asymptotes. Learners will apply domain restriction to invert trigonometric functions, visually, through special values, and using technology. Learners will use transformations of trigonometric functions to model functions with similar behavior, such as a sine wave to model hours of daylight. Learners will use inverse trigonometric functions to solve trigonometric equations, including ones arising from modeling situations.
2 - 4 hours per week outside of class
Frequency: available upon request
Feedback: available upon request
Details: Learners will have practice problems to work in Rover for each lesson. Other assignments, quizzes, and tests will be in TeacherMade. Occasionally, such as in advance to clear group time for interactive tasks or when lecture topics take longer than anticipated, learners will be assigned video tutorials to watch outside class time.
Frequency: available upon request
Details: Learners will receive numerical grades for practice and for each major assignment in a written report at the end of the class, and a current draft of their grades so far upon request during the class.
Frequency: available upon request
Scratch paper and pencils, or a whiteboard and markers.
Learners who are preparing for college admissions are advised to keep a portfolio (digital or on paper) of major assignments and 2-3 different types of problems, fully worked, per routine practice assignment; the materials of the student's choice should be available for this from the beginning of class. Examples include a Google Drive or Dropbox folder, LibreOffice software (Writer and Math), a binder and hole-punched printer paper or a hole puncher, etc. Consider that if you are applying to multiple colleges, a digital portfolio is easier to duplicate, and can be printed out if a physical copy is wanted.
For this class, learners can use GeoGebra exclusively as their graphing calculator, but students whose intent is to take a credit-bearing exam should begin practicing with a calculator approved for that exam as soon as possible.
In addition to the Outschool classroom, this class uses:
TeacherMade is a site designed for school use which allows learners to access and complete worksheets, tutorials, and practice problems. If they wish, such as for added privacy, learners can sign in using a nickname or pseudonym.
GeoGebra is a free, open-source math calculator, graphing calculator, and dynamic geometry site. Learners do not need an account to use it.
Explain Everything is a shared whiteboard, similar to Google Jamboard but more flexible. Learners do not need an account and can access the board to write on it through a link. Learners who do not specifically want to write on the board don’t need to access Explain Everything at all – I will share the screen in Zoom and they can watch.
OpenStax Precalculus
OpenStax Algebra and Trigonometry
Joined May, 2021
Teacher expertise and credentials
Master's Degree in Mathematics from Western Governors University
Hello mathematicians, puzzlers, and other curious people!

I'm a homeschool graduate, math professor, textile/sewing enthusiast, literary hobbyist, and general curious individual, here to share all of the above with the next generation. Math... 
Group Class


weekly or $150 for 8 classes
2x per week, 4 weeks
50 min

Completed by 2 learners
Live video meetings
Ages: 15-18
1-12 learners per class

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