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기하학: 뛰어난 학습자를 위한 합동성과 증명

6 명의 학생이 수업을 완료함

연령대: 12-15 세

실시간 그룹 수업

이 엄격한 수학 과정에서 학습자는 강체 변환과 팽창을 사용하여 삼각형에 대한 유사 정리를 증명하고 피타고라스 정리를 통해 작업을 확장하여 기하학을 계속 학습합니다.

Malikai Bass M.A

평균 평점:

5.0

수강 후기 수:

(332 수강 후기)

무엇이 포함되어 있나요?

20개의 라이브 미팅

수업 16 시간 40 분 시간

과제

주당 1시간. We will end the unit with a mastery assessment.

프로젝트

Students will complete a modeling project in which they create a mathematical model to understand and propose a solution to a real world problem.

학습 리포트

포함됨

보고계신 지문은 자동 번역 되었습니다

수업 소개

영어레벨 - B2+

미국 8학년 - 10학년 학년

레벨 Intermediate

This is the second 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 the relationships between congruent parts of figures and congruent figures themselves. We will utilize transformations as tools for reasoning and making generalizations. Through these transformations, we will prove three theorems about triangle congruence: Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Side-Side-Side (SSS). As we establish these theorems, we will apply them to demonstrate properties of quadrilaterals, isosceles triangles, and other shapes. Finally, we will employ our skills to conjecture and investigate congruences and properties of quadrilaterals.

학습 목표

CCSS.Math.Content.HSG.CO.B.6: Students will be able to use geometric descriptions of rigid motions to transform figures and predict the effects on these figures, and determine if two figures are congruent by analyzing their transformations.

CCSS.Math.Content.HSG.CO.B.7: Students will be able to demonstrate that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent, using the definition of congruence in terms of rigid motions.

강의 계획서

커리큘럼

Teacher-Created 커리큘럼 기반

표준

Common Core State Standards (CCSS)에 맞춰짐

20 레슨

4 주 이상

레슨1:

Readiness Assessment

 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:

Congruent Parts, Part 1

 We will explore congruent figures and corresponding parts and use them to make conjectures about quadrilaterals based on transforming triangles.

50 분 온라인 라이브 레슨

레슨3:

Congruent Parts, Part 2

 We will continue to work with corresponding parts and explore using this to disprove congruence between figures. We will also begin our work on establishing congruence shortcuts for triangles.

50 분 온라인 라이브 레슨

레슨4:

Congruent Triangles, Part 1

 We will work on proofing triangle congruence using transformations based on work in unit one and use this to write proofs.

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. Students will also need to use a compass.

사전 요구 사항

Learners should have completed Algebra 1.

수업 자료

Learners will need a way to write/draw to solve problems. This class is best taken using a computer and mouse, but learners might benefit from having a secondary touch screen device in order to be able to screen share math work.  

Learners will need a teacher provided printable workbook, a compass, straight edge, and tracing paper.

수업 진행 언어

영어 (레벨: B2+)

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.

선생님을 만나보세요

Malikai Bass M.A

가입일: April, 2021

5.0

332수강 후기

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.

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기하학: 뛰어난 학습자를 위한 합동성과 증명

연령대: 12-15 세

실시간 그룹 수업

Malikai Bass M.A

무엇이 포함되어 있나요?

20개의 라이브 미팅

과제

프로젝트

학습 리포트

수업 소개

영어레벨 - B2+

미국 8학년 - 10학년 학년

레벨 Intermediate

학습 목표

강의 계획서

커리큘럼

표준

20 레슨

레슨1:

Readiness Assessment

50 분 온라인 라이브 레슨

레슨2:

Congruent Parts, Part 1

50 분 온라인 라이브 레슨

레슨3:

Congruent Parts, Part 2

50 분 온라인 라이브 레슨

레슨4:

Congruent Triangles, Part 1

50 분 온라인 라이브 레슨

그 외 세부 사항

학습 요구

학부모 가이드

사전 요구 사항

수업 자료

수업 진행 언어

Outschool 외 필요 앱/웹사이트

출처

선생님을 만나보세요

Malikai Bass M.A

교사 전문성 및 자격증

리뷰

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