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삼각법 탐구: 원에서 복소각까지

이 4주 과정에서 학생들은 사인, 코사인, 탄젠트라는 세 가지 주요 삼각 비율이 직각 삼각형을 넘어 다양한 상황과 응용 분야로 확장될 수 있는 방법을 배웁니다.
Erin Townley
평균 평점:
5.0
수강 후기 수:
(1)
수업

무엇이 포함되어 있나요?

12개의 라이브 미팅
수업 11 시간
숙제
주당 2-4시간. 주 3-6회
수료증
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"
보고계신 지문은 자동 번역 되었습니다

수업 소개

영어 수준 - 알 수 없음
미국 9학년 - 12학년 학년
레벨 Intermediate
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.
학습 목표
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.
학습 목표

강의 계획서

3 유닛
12 레슨
4 주 이상
단위 1: Radians and the Unit Circle
레슨1:
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 분 온라인 라이브 레슨
레슨2:
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 분 온라인 라이브 레슨
레슨3:
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 분 온라인 라이브 레슨
레슨4:
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 분 온라인 라이브 레슨

그 외 세부 사항

사전 요구 사항
Students should have completed both a full Algebra 1 and a Geometry course prior to taking this class.
수업 자료
Paper
Pen or Pencil
Graphing Calculator (Numworks is what I will be demonstrating with, but that calculator is not required for students)
Outschool 외 필요 앱/웹사이트
이 수업에서는 아웃스쿨 교실 외에도 다음의 툴을 사용합니다:
  • Desmos
가입일: June, 2024
5.0
1수강 후기
프로필
교사 전문성 및 자격증
텍사스 교직증명서 수학에
석사 학위 수학 University of Houston에서
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 logarithms

리뷰

실시간 그룹 수업
공유
매주

US$60

또는 12 회 수업에US$240
4주 동안 주당 3회
55분

2 명의 학생이 수업을 완료함
실시간 화상 수업
연령: 13-17
수업당 학습자 4-12 명

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