$38

weekly
or $150 for 8 classes
Class

Trigonometry: Further Trig | Precalculus, Module 6

Completed by 2 learners
Ages 15-18
Live Group Course
In this 4-week full-curriculum class, learners will continue their study of trigonometry.
Average rating:
4.9
Number of reviews:
(17 reviews)

Live video meetings
2x per week, 4 weeks
1-12 learners per class
50 min

What's included

8 live meetings
6 hrs 40 mins in-class hours
Homework
2-4 hours per week. 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.
Assessment
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.
Grading
included

Class Experience

US Grade 10 - 12
The general key topics for this month will be further topics in trigonometry. For details of what will be addressed within these areas, see the learning goals list. We will use the OpenStax Algebra and Trigonometry curriculum from Rice University as an outline and reference; while this is not a test prep class, I am mindful of the fact that learners may have passing credit-bearing exams like CLEP Precalculus as a goal, and the scope and rigor will be consistent.

Class sessions will generally include:
* A warmup problem set using related previous skills
* An outline of the session's objectives, together with an opportunity to ask questions either about recent homework or to clarify concepts mentioned in the objectives
* Presentation of concepts and problems using slides in an Explain Everything whiteboard; learners will be able to use a provided link to write on the slides for purposes like solving an equation or marking important information for setting up a word problem

Between class sessions, learners will receive other information in written, graphical, and video form, as needed based on the topic (for example, a problem-solving process would usually be given in video rather than written form, to allow for proper notation and verbal step-by-step explanation), in the class discussion area.

This class is a one-month unit which would traditionally be taught a bit past halfway through a yearlong precalculus class, but most previous precalculus topics are not conceptual prerequisites for trigonometry. Learners do, however, need to be familiar with the main topics of the immediately previous unit -- right triangle and unit circle definitions of trig functions and their inverses, very basic trig identities, and polar coordinate geometry.

Learning Goals

Learners will develop further familiarity with trig identities, including proving them using known angles.
Learners will become familiar with key trig identities: sum and difference, double-angle, half-angle, reduction, and sum-product conversion

Syllabus

2 Units
8 Lessons
over 4 Weeks
Unit 1:
Lesson 1:
Intro to Identities
50 mins online live lesson
Lesson 2:
Sum and Difference Identities
50 mins online live lesson
Lesson 3:
Double-Angle, Half-Angle, and Sum/Product Conversion Identities
50 mins online live lesson
Lesson 4:
Solving Trigonometric Equations
50 mins online live lesson

Other Details

Parental Guidance
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. MyOpenMath is an automatic-scored practice site based on the OpenStax precalculus-level textbooks. 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.
Pre-Requisites
Learners should be familiar with the content of the Intro to Trig module.
Supply List
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 other cloud drive service 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.
External Resources
In addition to the Outschool classroom, this class uses:
Sources
OpenStax Precalculus OpenStax Algebra and Trigonometry

Meet the teacher

4.9
17reviews
Profile
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 classes that are helpful and understandable, instead of just trying to figure it out for yourself from a book, are my main focus — I believe deep, confident understanding of math is for everybody.

I'm in US Central Time but flexible as to time zones. If you need a class offered at an international friendly time, just ask!

Want to start class already knowing a classmate? Or, do you just like getting deals? With my Bring-a-Friend discount, you can tell a friend to sign up and tell me who sent them, and you'll both get 25% off (processed manually through the refund system). You can bring more than one friend and get more than one discount — if you bring four friends, you get the class for free!

A few testimonials, in my students' own words:

I needed some help to knock out a 6 week Summer Business Calc class after not doing any math for over 20 years. Avrila worked with my schedule and demonstrated expert level knowledge of the subject matter in every lesson. Whether helping me construct equations from cryptic setups, develop test strategies, or just review the standard limit or calculus rules to complete problems, Avrila always knew what was required and gave me just enough information to figure things out for myself. I can not recommend her highly enough!

She explains things so well and walks you through topics step by step. She is extremely patient and super nice!

Avrila is awesome! She is extremely knowledgeable and flexible with my busy schedule. She explains these concepts in a super simple way making it much easier to understand. She helped me get through the majority of my semester, helping me improve my GPA more than I ever had hoped. I highly recommend her for any of your tutoring needs regarding stats.

Reviews



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