함수 변환: 그래프 수정 마스터링
이 3주 과정에서 학생들은 함수 변환의 개념과 그것이 함수 구성 및 그래프와 어떻게 관련이 있는지에 대해 소개받게 됩니다. 우리는 이 개념을 이해하기 쉽게 만드는 아이디어와 전략을 탐구할 것입니다.
Erin Townley
평균 평점:
5.0
수강 후기 수:(1)
무엇이 포함되어 있나요?
6개의 라이브 미팅
수업 4 시간 30 분 시간숙제
주당 1-2시간. Homework will be given after each class, and it will be discussed and reviewed in the next class if needed. Answer keys will be provided for students to be able to check their work as they complete, but it will not be required to submit the homework for grade.수료증
수업 종료 후 1회보고계신 지문은 자동 번역 되었습니다
수업 소개
영어 수준 - 알 수 없음
미국 8학년 - 11학년 학년
레벨 Intermediate
This course is intended to give students an opportunity to learn about the concept of function transformations and how they are used, interpreted, applied and graphed. It is intended to be an introduction to transformations, so no prior understanding of them is required. However, it will be helpful for a learner to have an understanding of functions and graphing prior to taking the course. 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 learn how to use function composition to apply transformations to parent functions.Students will learn how to interpret a function equation from the graph when transformations have been applied.
강의 계획서
6 레슨
3 주 이상레슨1:
Function Composition and Introduction to Transformations
In this lesson we will go over the operation of function composition, define what function transformations are and how they relate to composition. We will do some simple practice of applying a single transformation to an equation. 45 분 온라인 라이브 레슨
레슨2:
Applying Multiple Transformations
In this lesson, we will focus on how to correctly apply more than one transformation to an equation, paying attention to the order in which the transformations occur. 45 분 온라인 라이브 레슨
레슨3:
Interpreting Transformed Functions
In this lesson, we will practice identifying what transformations are present in different types of functions, paying attention to different formats. 45 분 온라인 라이브 레슨
레슨4:
Graphing Transformed Functions
In this lesson, we will take our understanding of function transformation from the previous lessons and learn how to graph the transformations to turn a parent function graph into a transformed function graph. We will also discuss things like domain and range and which transformations affect them. 45 분 온라인 라이브 레슨
그 외 세부 사항
사전 요구 사항
Students should have completed an Algebra 1 course and be familiar with the concept of functions and graphing.
수업 자료
Paper Pen or Pencil Graphing Calculator (I will be using Desmos and the Numworks calculator, but any graphing calculator will work)
Outschool 외 필요 앱/웹사이트
이 수업에서는 아웃스쿨 교실 외에도 다음의 툴을 사용합니다:
가입일: June, 2024
5.0
1수강 후기
교사 전문성 및 자격증
텍사스 교직증명서 수학에
석사 학위 수학 University of Houston에서
Ever since I started teaching high school math, I noticed how regularly function transformations appear in a variety of levels and topics, from Algebra 1 to Calculus. Therefore, I made it a goal to create a course that will offer students an opportunity to form a strong foundation in a topic that will serve them well throughout their high school math courses and beyond. My qualifications for teaching this topic are:
-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 function transformations.리뷰
실시간 그룹 수업
매주
US$40
또는 6 회 수업에US$1203주 동안 주당 2회
45분
실시간 화상 수업
연령: 12-17
수업당 학습자 4-12 명
