US$38
weeklyor US$150 for all content
立即報名,隨時開始
按照自己的步調走
您的學習者可以在他們想要的時候開始學習,並以最適合他們的速度進步。當你想要的時候開始。
按照自己的步調學習
訪問一整年的課程材料。
獲得老師的實際支持。
包含什麼
15 預錄課程
4 週
教師的支持1 年訪問權
到內容作業
每週 4+ 小時. Homework will be assigned after each lesson to reinforce the material that was taught for that class.我們無法翻譯此文,請刷新頁面並再試一次。
課堂經歷
英語程度 - 未知
美國 9 - 12 年級
Advanced 等級
In this 4-week self-paced course, we will be learning about how to work with everything surrounding complex numbers and functions. This is an advanced level course and will go at a faster pace at times. We will also cover more rigorous problems at an in depth level. Students who take this course should have completed an entire Algebra I curriculum at a high level of mastery, have a passion for learning mathematics, and have a potential interest in pursuing a career in a STEM field. Additional introductory Algebra II concepts should also be learned previously. For a thorough list of prerequisite topics, please refer to the description of my class listings titled "Advanced Algebra 2 - Units 1 & 2: Equations, Inequalities, and Factoring - Self Paced" and "Advanced Algebra 2 - Units 3 & 4: Rationals and Radicals - Self Paced". The topics for Units 5 & 6 are listed below: Week 1 Day 1 - Imaginary Unit, Powers of i, Intro to Complex Numbers Day 2 - Operations with Complex Numbers Day 3 - Graphing Complex Numbers Day 4 - Absolute Value of Complex Numbers Week 2 Day 1 - Solving Quadratics with Imaginary Roots Day 2 - Nature of the Roots 1 Day 3 - Nature of the Roots 2 Week 3 Day 1 - Functions and Relations Day 2 - Domain and Range Day 3 - Compositions of Functions Day 4 - Inverse Functions and One-to-one Functions Week 4 Day 1 - Transformations of Random Functions Day 2 - Transformations of Absolute Value, Parabolic, and Square Root Functions Day 3 - Projectile Motion Word Problems Day 4 - Average Rate of Change I will post a lesson video and accompanying documents (classwork and homework) for the first four days of each week. Students are expected to watch the video and take notes on the material that is delivered. I will then prompt students to pause the video and work on the classwork problems independently. After they have done that, they can continue to watch the video and see my explanations for the classwork problems. This is a great way for them to assess themselves immediately and know where they are comfortable and where they need extra practice. After students complete the classwork and watch through the lesson video, they will be able to work on the homework for that day. I highly encourage students to submit their homework to me on each of the first four days of the week when lesson videos are uploaded. This allows me to give actionable feedback so they can learn from their mistakes and use what they learn when they view future lesson topics. On the fifth day of each week, I will post the solutions to the four homeworks from that week. Students can grade their own assignments at this time and reach out to me for further feedback if needed. Since this is designed to be a flexible schedule course with no live meetings, we will not be meeting synchronously on a Zoom session. However, I encourage you to post any questions you have about each day's material (whether it be from the lesson, the classwork, or the homework) onto our classroom page so that I can assist you. In the past, I have found that students who are the most active on the classroom page in asking questions are the ones who get the most out of the course. Never be afraid to ask for help! And most importantly, have fun! Learning is only exciting as you let it be!
學習目標
Students will be able to:
- perform operations with complex numbers
- solve quadratics with complex roots
- identify domain and range of functions
- evaluate compositions of functions
- work with inverse functions and 1-1 functions
- transform functions
教學大綱
2 單位
15 課程
超過 4 週單位 1: Unit 5: Complex Numbers
課 1:
Lesson 34: Imaginary Unit, Powers of i, Intro to Complex Numbers
課 2:
Lesson 35: Operations with Complex Numbers
課 3:
Lesson 36: Graphing Complex Numbers
課 4:
Lesson 37: Absolute Value of Complex Numbers
其他詳情
供應清單
Notebook, pen/pencil (multiple colors if possible), handouts (provided by Ms. Li on our classroom page), graphing calculator (i.e. TI-84 Plus), graph paper
外部資源
學習者無需使用標準 Outschool 工具以外的任何應用程式或網站。
認識老師
教師專業知識和證書
2 個學位
碩士 在 教育 從 Columbia University - Teachers College
學士學位 在 數學 從 University of Massachusetts - Amherst
I have a Bachelors in Mathematics and a Masters in Secondary Math Education. I have also taught high school mathematics as a public school teacher and private tutor for over 15 years.
評論
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