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이항식 마스터리: 파스칼의 삼각형, 정리, 확률

이 3주 과정에서 학생들은 이항 정리의 구조와 의미를 배우고 이항 확장, 파스칼 삼각형 및 이항 확률과의 연결을 탐구합니다.
Erin Townley
평균 평점:
5.0
수강 후기 수:
(1)
수업

무엇이 포함되어 있나요?

6개의 라이브 미팅
수업 4 시간 30 분 시간
숙제
주당 1-2시간. 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.
보고계신 지문은 자동 번역 되었습니다

수업 소개

영어 수준 - 알 수 없음
미국 9학년 - 12학년 학년
레벨 Intermediate
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.
학습 목표
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.
학습 목표

강의 계획서

6 레슨
3 주 이상
레슨1:
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 분 온라인 라이브 레슨
레슨2:
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 분 온라인 라이브 레슨
레슨3:
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 분 온라인 라이브 레슨
레슨4:
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 분 온라인 라이브 레슨

그 외 세부 사항

사전 요구 사항
Students should have completed at least an Algebra 1 course and be familiar with basic probability and binomial expansion.
수업 자료
Paper
Pen or Pencil
a graphing calculator (I will be using the Numworks in class, but students can use what they have)
Outschool 외 필요 앱/웹사이트
아웃스쿨 사이트의 기능 외 별도의 앱이나 웹 사이트를 사용할 필요가 없습니다.
가입일: June, 2024
5.0
1수강 후기
프로필
교사 전문성 및 자격증
텍사스 교직증명서 수학에
석사 학위 수학 University of Houston에서
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

리뷰

실시간 그룹 수업
공유
매주

US$40

또는 6 회 수업에US$120
3주 동안 주당 2회
45분

실시간 화상 수업
연령: 13-17
수업당 학습자 4-12 명

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