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이항식 익히기: 파스칼의 삼각형, 정리, 확률

수업
Erin Townley
평균 평점:
5.0
수강 후기 수:
(1)
새로운 선생님
이 3주 과정에서 학생들은 이항 정리의 구조와 의미를 배우고 이항 확장, 파스칼의 삼각형 및 이항 확률과의 연관성을 탐구합니다.
보고계신 지문은 자동 번역 되었습니다

수업 소개

영어 수준 - 알 수 없음
미국 9 - 12 학년
레벨 Intermediate
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
수업 외 주당 1 - 2 시간
Homework
빈도: 1-2 per week
피드백: 요청 시 이용 가능
세부 내용: 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) 
가입일: June, 2024
5.0
1수강 후기
새로운 선생님
프로필
교사 전문성 및 자격증
텍사스 교직증명서 수학에
석사 학위 수학 University of Houston에서
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... 
그룹 수업
매주

₩100

또는 6 회 수업에₩120
3주 동안 주당 2회
45분

실시간 화상 수업
연령: 13-17
수업당 학습자 4-12 명

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