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二項式の習得: パスカルの三角形、定理、確率

クラス
Erin Townley
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5.0
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この3週間のコースでは、学生は二項定理の構造と意味を学び、二項展開、パスカルの三角形、二項確率との関連を探ります。
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このクラスで学べること

英語レベル - 不明
米国の学年 9 - 12
Intermediate レベル向け
6 lessons//3 Weeks
 Week 1
Lesson 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.
Lesson 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.
 Week 2
Lesson 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.
Lesson 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.
 Week 3
Lesson 5
The Binomial Theorem and Probability
In this lesson, we will make the connection between the terms of a binomial expansion and the outcomes of a binomial probability.
Lesson 6
Applications of Binomial Probability
In this lesson, we will expand on what was covered in the previous lesson and explore some of the applications of binomial probability, including coin flips, dice rolls, test taking, decision making, etc.
  • 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.
  • Students will improve their understanding of the Binomial Theorem by applying it and its properties to binomial probability.
  • Students will solidify their understanding of the Binomial Theorem and binomial probability by exploring some of the many applications that exist in the real world.
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
授業以外に週あたり 1 - 2 時間の学習が期待されます
Homework
頻度: 1-2 per week
フィードバック: リクエストも承ります
詳細: 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.
Students should have completed at least an Algebra 1 course and be familiar with basic probability and binomial expansion.
Paper
Pen or Pencil
a graphing calculator (I will be using the Numworks in class, but students can use what they have) 
参加しました June, 2024
5.0
1レビュー
New on Outschool
プロフィール
教師の専門知識と資格
テキサス 教員免許 数学で
修士号 University of Houstonから 数学 へ
Hi, I’m Erin! I graduated magna cum laude from Rice University in 2008 with a B.A. in both Mathematics and Psychology, as well as obtaining a teaching certificate for grades 7-12. I then went on to get a M.A. in Mathematics from the University of... 
グループクラス

¥100

毎週または¥120 6 クラス分
週に2回、 3 週間
45 分

オンラインライブ授業
年齢: 13-17
クラス人数: 4 人-12 人

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