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고등학교 기하학 여행 - 1부

신규 수업
연령대: 13-17 세
실시간 그룹 수업
이 11주 과정에서 학생들은 엄격한 논리적 추론, 포괄적인 기하학적 증명, 변환 및 대칭의 숙달을 통해 실제 세계 응용 프로그램을 연구하는 기하학 여정을 시작합니다.
평균 평점:
4.9
수강 후기 수:
(136 수강 후기)

실시간 화상 수업
11주 동안 주당 3회
1-8 수업 정원
55분

무엇이 포함되어 있나요?

33개의 라이브 미팅
수업 30 시간 15 분 시간
숙제
주당 4+시간. Homework is assigned at the end of each class and reviewed in class only if many students have questions. Feedback can also be provided independently upon request.
학습 평가
Students will be assessed with a mid chapter quiz and a test at the end of each topic. There will be a review and practice to ensure that students are learning what they are supposed to be learning.
보고계신 지문은 자동 번역 되었습니다

수업 소개

영어 수준 - 알 수 없음
미국 9학년 - 12학년 학년
레벨 Beginner - Intermediate
This course is designed to provide comprehensive coverage of the fundamental concepts in a High School Geometry curriculum. Throughout the duration of the course, we will cover the first three chapters, focusing on foundational principles, logical reasoning, and geometric transformations. Students will draw on their previous mathematical experiences to solve real-world problems, enhancing their analytical and problem-solving skills.

Chapter 1: The Tools of Geometry
In this chapter, students will be introduced to the essential elements of geometry, such as points, lines, and planes, which form the building blocks of more complex concepts. They will learn how to measure and calculate distances and midpoints, understand different types of angles, and explore various geometric transformations like translations, rotations, and reflections. Additionally, students will gain an understanding of three-dimensional figures and how to represent them in two dimensions through nets and projections. Emphasis will also be placed on the precision and accuracy of geometric measurements and constructions, which are crucial for solving practical problems.

Chapter 2: Logical Arguments & Line Relationships
This chapter focuses on developing students' ability to construct and understand logical arguments in geometry. Students will learn to form conjectures and use counterexamples to disprove them. They will study different types of logical statements, including conditionals and biconditionals, and practice deductive reasoning to draw valid conclusions. The chapter also introduces formal geometric proofs, both two-column and paragraph styles, helping students to prove segment and angle relationships rigorously. Understanding the properties of parallel lines and transversals, along with the slope and equations of lines, will be key areas of study. These skills are essential for solving complex geometric problems and understanding the relationships between different geometric elements.

Chapter 3: Rigid Transformations & Symmetry
In this chapter, students will delve into the study of rigid transformations and symmetry. They will explore reflections, translations, and rotations in detail, learning how these transformations affect geometric figures. The concept of composition of transformations will be introduced, allowing students to understand the cumulative effect of multiple transformations applied to a figure. Symmetry, both line and rotational, will be another significant focus, helping students recognize and create symmetric figures. This chapter not only solidifies students' understanding of geometric transformations but also enhances their ability to apply these concepts to real-world scenarios, such as in design and architecture.

By the end of these three chapters, students will have a strong foundation in geometric principles, logical reasoning, and transformational geometry. They will be equipped to tackle more advanced topics in geometry and apply their knowledge to a variety of real-world contexts.

학습 목표

Understand points, lines, planes, and their relationships; calculate distances and midpoints; classify angles; and explore geometric transformations.
Recognize and describe three-dimensional figures, represent them in two dimensions, and emphasize precision in geometric measurements and constructions.

강의 계획서

3 유닛
33 레슨
11 주 이상
단위 1: The Tools of Geometry
레슨1:
Points, Lines, and Planes
 Introduction to the basic undefined terms in geometry and their relationships. 
55 분 온라인 라이브 레슨
레슨2:
Line Segments & Distance
 Learning about line segments, their lengths, and the concept of distance between points. 
55 분 온라인 라이브 레슨
레슨3:
Locating Points & Midpoints (Part 1)
 Exploring the coordinate plane, plotting points, and finding midpoints of segments. 
55 분 온라인 라이브 레슨
레슨4:
Locating Points & Midpoints (Part 2)
 Continuing to explore the coordinate plane, plotting points, and finding midpoints of segments. 
55 분 온라인 라이브 레슨

그 외 세부 사항

학부모 가이드
Parents should be aware that this course is a fast paced high school geometry course and students will be expected to have some knowledge of geometric skills. Third Party Tools: This class has the occasional use of Nearpod for review and assessments/quizzes during class and Kahoot for a fun review during class. YouTube video links that can can be viewed at home if the family chooses may be posted in the classroom for extra support on more challenging topics. Please note: if there isn't anyone in attendance, there will not be a class recording. I will wait in the class for the first ten minutes. If no one arrives after that, I will leave. I will post notes of what was to be discussed during class.
사전 요구 사항
Students should have taken an Algebra course before enrolling in Geometry.
수업 자료
Most materials will be provided by the instructor. This will include worksheets and assignments needed to review. Students will need access to a printer to print notes and assignments.  A basic calculator may be needed (TI-30x) or a graphing calculator (TI-84).  If students have access to a smartphone or tablet, they can use a calculator app similar to Graphing Calc 2. They can also use the scientific calculator at desmos.com/scientific or the graphing calculator at desmos.com/graphing. These are my favorites. Students should also have blank paper (lined or unlined) for taking notes and writing examples, graph paper for the graphing sections, a ruler for creating straight lines and angles, a compass, and a protractor.
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수업 진행 언어
영어
Outschool 외 필요 앱/웹사이트
이 수업에서는 아웃스쿨 교실 외에도 다음의 툴을 사용합니다:

선생님을 만나보세요

가입일: February, 2019
4.9
136수강 후기
프로필
교사 전문성 및 자격증
I am certified to teach children for grades K-12. I have been working in education for many years and have seen students gain success with interactive programs. As a special educator, I have learned different techniques to work with all students to support their learning It is my knowledge, skill set, and love of learning that would make me a great educator for your child. 

리뷰

Karmen Kynard, M. Ed 다음에는 이 수업을 제안합니다...
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