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幾何学:特別な学習者のための構成と剛体変換

この厳密な数学のコースでは、学習者は定規とコンパスを使った作図を使用して幾何学的特性を探究し、剛体変換を正式に定義し、点ごとの分析を使用して証明を構築することで幾何学を学びます。
Malikai Bass M.A
平均評価:
5.0
レビュー数:
(316)
Popular
クラス

含まれるもの

30 ライブミーティング
25 授業時間
テスト
Students will complete two modeling projects and complete a mid and end of unit assessment.
評価
Written grade feedback available upon request.
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 - B1
米国の学年 9 - 11
Intermediate レベル向け
This is the first 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 explore geometric properties using constructions and build conjectures. We will formally define rigid transformations and work on shifting towards a point-by-point analysis which does not require a grid. We will prove statements involving angles and distances and explore proof writing.
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.
学習目標

シラバス

標準
Common Core State Standards (CCSS) に準拠
3 ユニット
30 レッスン
6 週間以上
ユニット 1: Constructions
レッスン 1:
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 分のオンラインライブレッスン
レッスン 2:
Build It
 We will begin working with compass and straight edges and expand on our understanding of circles and line segments. We will begin working with symbolic notations. 
50 分のオンラインライブレッスン
レッスン 3:
Constructing Patterns
 We will practice writing and following instructions regarding straightedge and compass moves as we build designs and practice constructions for parallel designs. 
50 分のオンラインライブレッスン
レッスン 4:
Construction Techniques 1: Perpendicular Bisectors
 We will understand the perpendicular bisector of a segment as a perpendicular line passing through the midpoint and understand distance without numbers. We will introduce the idea of a conjecture. 
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. Students will also need to use a compass.
受講の前提条件
Learners should have completed Algebra 1
参加しました April, 2021
5.0
316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. 


レビュー

ライブグループコース
共有

$80

毎週または$480 30 クラス分
週に5回、 6 週間
50 分

6 人がクラスを受けました
オンラインライブ授業
年齢: 12-15
クラス人数: 3 人-6 人

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