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柔性|自訂進度 |微積分 1 學期完整課程

由 2 位學習者完成
年齡 14-18
現場團體小班課程
這門為期 15 週的微積分課程相當於一整年的高中微積分或一學期的微積分 I 與解析幾何。本課程將介紹導數和積分的概念及其應用。
平均評分:
4.8
評論數量:
(49 評論)

沒有即時視訊會議
15 週
1-18 名學習者(每班)

包含什麼

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課堂經歷

英語程度 - 未知
美國 9 - 12 年級
This is an experience-based high school and college level course designed to introduce the main concepts of Calculus. Students will self-pace within each week and there will be no live lessons. Students should have prior knowledge of Algebra, Geometry, and Trigonometry before enrolling in this course. 

Schedule:
Week 1: Analyzing Graphs and Limits
Week 2: Limits and Continuity
Week 3: Introduction to Derivatives
Week 4: The Product and Quotient Rule
Week 5: Trig Derivatives, Exponential Derivatives, and the Chain Rule
Week 6: Second Derivatives and Inverse Derivatives
Week 7: Applied Derivative Problems
Week 8: Curve Sketching with Derivatives
(Optional) Midterm
Week 9: Approximating Area with Reimann Sums
Week 10: Antiderivatives
Week 11: The Definite Integral and the Fundamental Theorem of Calculus
Week 12: Integration Techniques
Week 13: Differential Equations
Week 14: Area Between Curves
Week 15: Volumes of Revolution

Class format:
1. At the beginning of each module students will take an assessment for prior knowledge and be assigned prerequisite lessons to build skills needed in the upcoming content.
2. Students will explore the concepts of Calculus through interactive Desmos Activities following a research driven approach to teaching mathematics of "experience first-formalize later".
3. Students will watch instructional videos with embedded knowledge checks to take notes and formalize learning.
4. Finally, students will complete tiered practice assessments and receive individualized feedback for revision and enrichment.

How will students and teachers interact with each other?
As this is a flex class students will have a weekly assignment at the end of each week and students will post their "proudest problem" which represents either a challenge they overcame, a concept they understood well, or something new they learned. Students will be required to reply to one other student's post if another post has been completed. 

To interact with the teacher, students will be able to ask questions in the classroom and will be provided with feedback on all submitted practice. 

For students who need extra support, I offer 1-1 tutoring at an additional cost.

其他詳情

父母的引導和規範
Each topic will be introduced through a Desmos Activity. It is recommended that the student create a free Desmos account so that answers are saved and shared with me and feedback can be provided, however, an account is not required for participation in the course.
教學語言
英語
外部資源
除了 Outschool 教室外,本課程也使用:

認識老師

已加入 January, 2023
4.8
49評論
教師檔案
教師專業知識和證書
碩士 在 教育 從 Northern Arizona University
學士學位 在 教育 從 Arizona State University
學士學位 在 數學 從 Arizona State University
I have an MS in Mathematics Education, a BA in Mathematics and a BAE in Secondary Education: Mathematics. I taught high school courses including Algebra 1, Geometry, Algebra 2, Honors Algebra 2, Precalculus and AP Statistics for 9 years. I now teach as adjunct faculty at a community college for Intermediate Algebra, College, Algebra, Trigonometry, and Calculus I.

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