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여름 슬라이드: 중학교 기하학 및 평면 테셀레이션

이 재미있는 수학 캠프에서 학생들은 평면 테셀레이션의 패턴과 규칙을 탐구하여 수학에서 영감을 받은 예술 작품을 만드는 동시에 강체 변환, 각도, 삼각형과 사각형과 관련된 수학을 검토합니다.
Malikai Bass M.A
평균 평점:
5.0
수강 후기 수:
(329)
인기 수업
수업

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3개의 라이브 미팅
수업 2 시간 15 분 시간
보고계신 지문은 자동 번역 되었습니다

수업 소개

영어 수준 - 알 수 없음
미국 6학년 - 8학년 학년
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.  In this camp we will explore tessellations as a way to review geometry basics and explore patterns and repeated reasoning in shapes.
Day 1: 
- Exploring Polygonal Patterns
- Introduction to Tessellations
- Using Rigid Transformations to Create and Describe Tessellations

Day 2:
- Introduction to Regular Tessellations
- Review of Angles in Regular Polygons

Day 3:
- Tessellations of specific shape and generalizing ideas
- Proving which shapes can always be regular tessellations
- The math behind tessellations and angles.

학습 목표

Students will
    Create and describe patterns with specific polygons that fill the plane.
    Make regular tessellations
    Make tessellations with different polygons
    8.G.A
Understand congruence and similarity using physical models, transparencies, or geometry software.
학습 목표

강의 계획서

커리큘럼
Teacher-Created 커리큘럼 기반
표준
Common Core State Standards (CCSS)에 맞춰짐
3 레슨
1 주 이상
레슨1:
Tessellations of the Plane
 We will be introduced to tessellations of the plane and apply middle school geometry concepts in a mathematical context beginning with general tessellations. 
45 분 온라인 라이브 레슨
레슨2:
Regular Tessellations
 We will understand regular tessellations and use repeated reasoning to understand which polygons are able to regularly tessellate a plane. 
45 분 온라인 라이브 레슨
레슨3:
Tessellating Polygon
 We will work with non-regular tessellations involving polygons and develop proofs to understand which non-regular polygons can and can not tessellate the plane. 
45 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
Students should have good content mastery over middle school math standards and be familiar with middle school geometry ideas and vocabulary.
수업 자료
Learners will need a pencil, straight edge, and paper. They may benefit from tracing paper or color pencils.
Outschool 외 필요 앱/웹사이트
이 수업에서는 아웃스쿨 교실 외에도 다음의 툴을 사용합니다:
  • Nearpod
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
329수강 후기
인기 수업
프로필
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
공유
3 회 수업에

US$48

1주 동안 주당 3회
45분

3 명의 학생이 수업을 완료함
실시간 화상 수업
연령: 11-14
수업당 학습자 3-6 명

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