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高校の幾何学：特別な学習者のための円についてのすべて

7 人が学習を完了しました

年齢 12 歳-16 歳

ライブグループコース

この厳密な数学のコースでは、学習者は円の詳細な研究を通じて幾何学を継続し、円弧の長さ、扇形角度、相似性の関係を理解することでラジアンの理解を深めます。

Malikai Bass M.A

平均評価:

5.0

レビュー数:

(347 レビュー)

Popular

オンラインライブ授業

週に5回、 3 週間

3 人-7 人 1クラスあたりの学習者

50 分

About 学習の概要講師レビュー

含まれるもの

15 ライブミーティング

12 時間 30 分授業時間

課題

週1時間. Students will complete independent practice problems at the end of each lesson.

テスト

We will end the unit with a mastery assessment.

この文章は自動翻訳されています

このクラスで学べること

英語レベル - A2

Intermediate レベル向け

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.

学習到達目標

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 arc

HSG-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

シラバス

標準

Common Core State Standards (CCSS) に準拠

15 レッスン

3 週間以上

レッスン 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 分のオンラインライブレッスン

レッスン 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 分のオンラインライブレッスン

レッスン 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 分のオンラインライブレッスン

レッスン 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 分のオンラインライブレッスン

その他の情報

学習ニーズ

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

保護者へのお知らせ

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.

受講の前提条件

Learners should have completed Algebra 1 and have prior experience with early high school geometry concepts.

外部リソース

このクラスでは、Outschool内のクラスルームに加えて、以下を使用します。

Nearpod

使用する教材

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.

先生について

Malikai Bass M.A

参加しました April, 2021

5.0

347レビュー

Popular

プロフィール

教師の専門知識と資格

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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他のクラス by Malikai Bass M.A

幾何学：特別な学習者のための構成と剛体変換

$80

高校の幾何学：特別な学習者のための円についてのすべて

年齢 12 歳-16 歳

ライブグループコース

Malikai Bass M.A

含まれるもの

15 ライブミーティング

課題

テスト

このクラスで学べること

英語レベル - A2

Intermediate レベル向け

学習到達目標

シラバス

標準

15 レッスン

レッスン 1:

Unit Readiness

50 分のオンラインライブレッスン

レッスン 2:

Lines, Angles, and Curves

50 分のオンラインライブレッスン

レッスン 3:

Inscribed Angles

50 分のオンラインライブレッスン

レッスン 4:

Tangent Lines

50 分のオンラインライブレッスン

その他の情報

学習ニーズ

保護者へのお知らせ

受講の前提条件

外部リソース

使用する教材

先生について

Malikai Bass M.A

教師の専門知識と資格

レビュー

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