掌握二項式：帕斯卡三角形、定理與機率
在這個為期三週的課程中，學生將學習二項式定理的結構和意義，並探索其與二項式展開式、帕斯卡三角形和二項機率的聯繫，
Erin Townley
平均評分：
5.0
評論數量：(1)
包含什麼
6 現場會議
4 小時 30 分鐘 上課時間作業
每週 1-2 小時. Students will be given optional extra practice homework assignments after each class, so that they can check their own understanding of the topics prior to the next class period. Answer keys will be provided and questions will be addressed in the next 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
Intermediate 等級
This course is intended to give students an opportunity to learn about the concepts of Pascal's Triangle and the Binomial Theorem, as well as their properties, applications, and connections to probability. It is intended to be an introduction to these topics, so no prior understanding of them is required. However, it will be helpful for a learner to have an understanding of how to expand binomials and some basic probability. 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 twice a week, and each meeting is 45 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.
學習目標
Students will understand how Pascal's Triangle can be used as a tool for binomial expansion.Students will make connections among Pascal's Triangle, binomial expansion, and the Binomial Theorem.
教學大綱
6 課程
超過 3 週課 1:
Intro to Binomial Expansion and Pascal's Triangle
In this lesson, students will explore the patterns that exist in binomial expansions and how those patterns relate to Pascal's Triangle. 45 分鐘線上直播課
課 2:
More with Binomial Expansion and Pascal's Triangle
In this lesson, we will expand on what was covered in the previous class and learn how to create full and partial expansions of binomials using Pascal's Triangle. 45 分鐘線上直播課
課 3:
The Binomial Theorem
In this lesson, we will define and analyze the Binomial Theorem, show how it connects to Pascal's Triangle and practice using it in a variety of problems. 45 分鐘線上直播課
課 4:
Challenge Problems with Binomial Theorem
In this lesson, we will work on solidifying and extending our understanding of the Binomial Theorem by tackling a variety of challenging, abstract problems related to the theorem and binomial expansion. 45 分鐘線上直播課
其他詳情
先決條件
Students should have completed at least an Algebra 1 course and be familiar with basic probability and binomial expansion.
供應清單
Paper Pen or Pencil a graphing calculator (I will be using the Numworks in class, but students can use what they have)
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。
已加入 June, 2024
5.0
1評論
教師專業知識和證書
德州 教學證書 在 數學
碩士 在 數學 從 University of Houston
Since learning about them in high school, Pascal's Triangle, the Binomial Theorem, and binomial probability have been one of my (many) favorite topics in math. As a student, I noticed that these topics seemed to appear in a wide variety of math courses and were often very challenging for students to understand and utilize effectively. As a teacher, I noticed that every year, this topic was listed as the most difficult by a majority of the students, so I've made it a goal to "demystify" this set of concepts.
In addition to my understanding of the importance of these topics and their value to a variety of areas of study, 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 these concepts評論
現場團體課程
US$40
每週或US$120 用於 6 課程每週2次，共 3 週
45 分鐘
即時視訊會議
年齡: 13-17
4-12 每班學員人數
