고등학교 기하학: 뛰어난 학습자를 위한 원에 관한 모든 것
이 엄격한 수학 과정에서 학습자는 원에 대한 심층 연구를 통해 기하학을 계속 공부하고, 호의 길이, 부채꼴 각도, 유사성 간의 관계를 이해함으로써 라디안을 이해하게 됩니다.
Malikai Bass M.A
평균 평점:
5.0
수강 후기 수:(326)
인기 수업
무엇이 포함되어 있나요?
15개의 라이브 미팅
수업 12 시간 30 분 시간과제
주당 1시간. Students will complete independent practice problems at the end of each lesson.학습 평가
We will end the unit with a mastery assessment.보고계신 지문은 자동 번역 되었습니다
수업 소개
영어레벨 - A2
레벨 Intermediate
This is the seventh course in a year-long sequence which covers standards and ideas in Geometry. These courses are taught in small-groups to provide individual instruction and social-learning opportunities aligned with a social constructionist or situated cognition view of learning. The curriculum is problem-based this means instead of lectures or videos students work together as a small group to solve problems to discover principles and strategies with teacher guidance, as necessary. Therefore, we will spend approximately 90% of each class period working on problems and discussing them as a group. The use of discussion and problem-solving leads to generalized mathematics or proofs and students will construct their own models or proofs of real-world scenarios in project based assignments. This process prepares students well who may seek advanced mathematics in high-school or beyond. In this unit, we will focus on circles including tangents, arcs, sectors, and radians. For more detail of what will be covered in this course, please view the detailed syllabus for a day by day breakdown.
학습 목표
HSG-CO.A.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arcHSG-C.A.2: Identify and describe relationships among inscribed angles, radii, and chords.
Include the relationship between central, inscribed, and circumscribed angles; inscribed angleson a diameter are right angles; the radius of a circle is perpendicul
강의 계획서
표준
Common Core State Standards (CCSS)에 맞춰짐15 레슨
3 주 이상레슨1:
Unit Readiness
We will complete a quick readiness check to introduce unit topics and allow for increased individualization with catered support and enrichment activities throughout the unit. 50 분 온라인 라이브 레슨
레슨2:
Lines, Angles, and Curves
We will begin by introducing different line segments inside circles to spark the need for learning the vocabulary terms chord, central angle, and arc. We will develop these definitions based on examples and then prove a property of congruent chords. 50 분 온라인 라이브 레슨
레슨3:
Inscribed Angles
We will encounter inscribed angles in circles and explore the relationship between inscribed angles and associated central angles. We will develop and attempt to prove conjectures about the relationship using similar triangles. 50 분 온라인 라이브 레슨
레슨4:
Tangent Lines
We will learn the definition of tangents, learn to construct them and work with the tangent conjecture and it's converse and show that an angle circumscribed about a circle is supplementary to the central angle defined by the points where the angle is tangent to the circle. 50 분 온라인 라이브 레슨
그 외 세부 사항
학습 요구
This class is designed by an AUDHD/Dyspraxic Educator
- slides and fonts designed to support dyslexia and visual processing
- ability to type and use virtual drawing tools
- communication aids including chat
- ND Affirming classroom
학부모 가이드
Students will need to use Nearpod. They will need to click a link and enter their first name or initial. No other identifying information will be collected.
사전 요구 사항
Learners should have completed Algebra 1 and have prior experience with early high school geometry concepts.
Outschool 외 필요 앱/웹사이트
이 수업에서는 아웃스쿨 교실 외에도 다음의 툴을 사용합니다:
출처
The scope and sequence of this course is based on the open source Illustrative Mathematics curriculum and has been adapted for 2e, neurodiverse, and home-based learners. Illustrated Mathematics is licensed under a creative commons attribution license: https://creativecommons.org/licenses/by/4.0/
Pedagological Resources:
Gravemeijer, K. (2020). A socio-constructivist elaboration of realistic mathematics education. In National reflections on the Netherlands didactics of mathematics (pp. 217-233). Springer, Cham.
Vintere, A. (2018). A constructivist approach to the teaching of mathematics to boost competences needed for sustainable development. Rural Sustainability Research, 39(334), 1-7.
Briscoe, L., & Van Kesteren, J. (2018). THE ART OF MATH. Gazette-Ontario Association for Mathematics, 57(2), 21-24.
가입일: April, 2021
5.0
326수강 후기
인기 수업
교사 전문성 및 자격증
Professional Experience:
I have been a math tutor for over 12 years and have worked with students from ages 5-25 in small group and academic settings including serving as a primary teacher for home educated learners. I have received training and tutoring certification/awards from nationally recognized organizations. I was a group supplemental instruction leader for math at the collegiate level for four years at ETSU including working with dual enrolled and accelerated learners. I have taught and tutored math up to a graduate level in algebra, geometry, probability, and quantitative reasoning.
Academic Experience:
Constructivism and Mathematics, Science, and Technology Education
This graduate level online course for educators used practical examples and empirical research to connect the educational philosophy of constructivism to best practices in STEM education and demonstrated online teaching strategies for this endeavor. It highlighted the power of solving problems through building and applying understandings rather than rote processes which influences the problem-centered curriculum This class also addressed common misconceptions or alternative schemas students develop for math and science prior to instruction and provided ideas for experiments and explorations to adjust these conceptions.
Math 1410 Numbers, Concepts, and Algebra for Math Teachers
This in-person semester long coursed prepared students to teach common core mathematics to students in grades kindergarten through eight including early access to algebra. It included practical teaching experience, ensuring the personal math conceptual fluency of each educator, and demonstrating expertise on the Praxis math exam for educators.
Math 1420: Logic, Problems, and Geometry for Math Teachers
This in-person semester long course prepared teacher candidates to teach common core mathematics to students in grades kindergarten through eighth including advanced ideas of logic, problem solving, and geometry using a constructivist lens.
리뷰
실시간 그룹 수업
매주
US$80
3주 동안 주당 5회
50분
실시간 화상 수업
연령: 12-16
수업당 학습자 3-7 명
