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繞圈子!三角學和單位圓。

在這個 4 堂課的系列中,我們將簡單地分解單位圓,讓學生學習如何解決單位圓上的三角問題。
Jamie Stagg, B.Sc, B.Ed
平均評分:
5.0
評論數量:
(8)
班級

包含什麼

按需滿足
根據需要安排會議
60 分鐘
每次會話
教師支持
作業
每週 1-2 小時. Homework will be assigned problems based on class topic of the day. It will be assigned after every class so that learners can reinforce their skills between classes. Students will verify homework completion by video. Answers will be given at the beginning of every class for the student to check for correctness.
評估
Summative assessment by short test during the last 30 minutes of the final class in the 4-class series. Required for all students.
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課堂經歷

英語程度 - 未知
美國 11 - 12 年級
Intermediate 等級
How to solve trigonometric ratios (e.g. sine, cosine, tangent) of angles around the unit circle by forming right triangles with 1 as the hypotenuse will be taught. Topics:

1st Class: Review of basic trigonometric ratios, angles around the unit circle in degrees, angles around the unit circle in radians, converting between degrees and radians, 

2nd Class: Reciprocal trigonometric ratios, deriving the trigonometric ratios of "special angles" (30 degrees, 45 degrees, 60 degree), difference between exact trigonometric ratios and approximate (decimal) ratios, 

3rd Class: Angles in standard position, reference angles, trigonometric ratios of angles that are multiples of the "special angles", CAST rule

4th Class: Review and time for questions. Summative assessment.

The class will be structured by introducing each topic with concept notes and tons of worked examples. Students will get the opportunity to practice what they've learned before going on to the next topic. Furthermore, each student will get to interact and ask clarifying questions as we go through each topic. I expect the class to be slow to average pace, depending on the state of the learner(s).

As part of my teaching style, I love to interact with students and ask questions in order to gauge how much they are learning.
學習目標
Students will learn how to do trigonometry on the unit circle. They will learn the difference between angles in standard position and reference angles. They will understand and use the CAST rule. Learners will be able to calculate all the trigonometric ratios of all multiples of the "special angles" in both exact and approximate form for angles in both degrees and radians.
學習目標

其他詳情

父母的引導和規範
IXL Learning website may be used to glean some practice problems. No account required. Desmos is a graphing website that may be used. No account required. Mathsisfun website will be used to illustrate properties and to "interact" with the unit circle. No account required.
先決條件
Strong familiarity with the basic trigonometric ratios (i.e. sin, cos, tan) and know how to solve problem types using a calculator. Being able to simplify radicals, including rationalizing the denominator, is strongly recommended.
外部資源
除了 Outschool 教室外,本課程也使用:
已加入 March, 2024
5.0
8評論
教師檔案
教師專業知識和證書
I have over 15 years experience teaching the "Unit Circle"

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US$40

每次會話
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60 分鐘

有2 位學習者完成此課程
即時視訊會議
年齡: 14-18

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