幾何学 - フルコース

2 人が学習を完了しました

年齢 11 歳-14 歳

ライブグループクラス

このコースでは、学生の幾何学的関係の理解と数学的議論の定式化を基盤として学習します。

Arielle Davis, M. Ed

平均評価:

4.8

レビュー数:

(11 レビュー)

オンラインライブ授業

週に3回

1 人-2 人 1クラスあたりの学習者

90 分

About 学習の概要講師レビュー

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3 ライブミーティング

週あたりの授業時間数 4 時間 30 分

宿題：

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テスト

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このクラスで学べること

英語レベル - 不明

米国の学年 8 - 11

This on-going course will cover key concepts from Geometry! This class is designed for students who are currently in Geometry and need additional assistance on the key concepts, or for students who are homeschooled and need a Geometry course.

This course will allow students to collaborate while building an understanding of the problems. During class, examples will be modeled for students. Afterward, we will either do a group activity or independent practice. Students will be given 2-5 problems after classes to work on and bring to the next class so I can check for their understanding.  

We will focus on the following topics each week: 

Algebra 1 Review/Pretest 
 Formulas (solve for a variable)

Unit 1: Foundations of Geometry
 Part 1 
o Segments and Angles
o Constructions 
o Midpoint
o Distance

 Part 2 
o Inductive/Deductive Reasoning
o Conditional Statements
o Formal/Informal Proofs

Unit 2: Parallel and Perpendicular Lines 
 Proving Lines Parallel
 Triangle Angle Sum
 Slopes of Parallel and Perpendicular

Unit 3: Transformations 
 Reflections, Translations, Rotations
 Classify Rigid Motions

Unit 4: Triangle Congruence 
 Isosceles and Equilateral Triangles
 SAS/SSS/ASA/AAS/HL Congruency
 Congruent Triangles


Unit 5: Relationships in Triangles 
 Perpendicular and Angle Bisectors
 Medians and Altitudes
 Inequalities in One and Two Triangles

Unit 6 Quadrilaterals and Polygons 
 Angles in Polygons
 Kites and Trapezoids
 Parallelograms
 Special Parallelograms

Unit 7: Similarity 
 Similar Triangles and Figures
 AA/SAS/SSS Similarity

Unit 8: Right Triangles and Trigonometry
 Part 1
o Pythagorean Theorem
o 45-45-90
o 30-60-90
o Word Problems

 Part 2
o Trigonometry
o Trigonometry Word Problems
o Law of Sine
o Law of Cosine


Unit 10: Circles 
 Arcs
 Tangents
 Chords
 Inscribed Angles
 Secants

Unit 11: 2- and 3- Dimensional Figures 
 Nets and Cross Sections
 Prisms and Cylinders
 Pyramids and Cones
 Spheres

*** Dates and topics are subject to change with student needs
*** Please note that this is not a graded class

学習到達目標

The concepts and skills commonly taught in high school geometry.

その他の情報

受講に必要なもの

It would be helpful to have a ti-84 calculator and a ruler. And access to a printer to print off worksheets for the current week.

指導言語

英語

外部リソース

学習者は、Outschoolが提供する基本ツール以外のアプリやウェブサイトを使用する必要はありません。

先生について

Arielle Davis, M. Ed

参加しました February, 2024

4.8

11レビュー

プロフィール

教師の専門知識と資格

ミシシッピ教員免許数学で

Hello, my name is Ms. Davis! I’m so glad you found an interest in my profile. Here is a little info about myself.

I received my bachelor’s degree in Interdisciplinary Studies with a concentration of Mathematics, History, and education. I am certified to teach secondary level math and history. But with math being my favorite subject, I’ve decided to really dive into my mathematics career. I just graduated with my masters degree in Arts in Teaching. I’m currently pursuing my specialist degree in teacher leadership and curriculum studies. So with all that being said, I have a strong passion for education and helping prepare our future leaders. 

I have taught Geometry for 3 years and have tutored many more in other maths such as Algebra 1, and pre- algebra. My love for learning is evident in my approach to teaching. I believe that hands-on learning is key, as learners retain more knowledge by doing rather than just watching. My teaching style is centered around motivating learners to do their best through honesty, organization, commitment, and hard work.