US$80
weeklyor US$240 for 15 classes
高中幾何：關於優秀學習者的圓
由 7 位學習者完成
年齡 12-16
現場團體課程
平均評分：
5.0
評論數量：(340 評論)
熱門課程
即時視訊會議
每週5次，共 3 週
3-7 名學習者(每班)
50 分鐘
包含什麼
15 現場會議
12 小時 30 分鐘 上課時間作業
每週 1 小時. Students will complete independent practice problems at the end of each lesson.評估
We will end the unit with a mastery assessment.我們無法翻譯此文，請刷新頁面並再試一次。
課堂經歷
英語程度 - A2
Intermediate 等級
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.
學習目標
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教學大綱
標準
與 Common Core State Standards (CCSS)對齊15 課程
超過 3 週課 1:
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 分鐘線上直播課
課 2:
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 分鐘線上直播課
課 3:
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 分鐘線上直播課
課 4:
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 分鐘線上直播課
其他詳情
學習需求
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
父母的引導和規範
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.
先決條件
Learners should have completed Algebra 1 and have prior experience with early high school geometry concepts.
外部資源
除了 Outschool 教室外，本課程也使用：
來源
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.
認識老師
教師專業知識和證書
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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