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幾何 - 全年課程

本課程重點在於幾何技能、演繹推理和邏輯,因為它適用於課堂和現實世界的實際應用(符合共同核心)。秋季課程於2024年9月9日開始。
Professor P (Dave Peightel)
平均評分:
4.9
評論數量:
(395)
熱門課程
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包含什麼

2 現場會議
每週上課 1 小時 30 分鐘 小時
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課堂經歷

英語程度 - 未知
美國 7 - 10 年級
This course provides in-depth instruction of Geometry topics to prepare students for higher level math to include Trigonometry, Pre-Calculus and beyond.  The class is offered in the Outschool on-going format to offer more flexibility for parents.  The on-going format allows students to enroll for sessions as needed without committing to a full year.  Students may enroll to learn a specific topic, for additional support and practice with an existing class, or for the complete Geometry curriculum.  Students enrolling in this class should have a strong understanding of basic mathematical operations and have completed an Algebra 1 level course.  

Throughout this course, students will focus on abstract concepts applied to geometry and geometry proofs.  We will spend time each class discussing the reasoning behind different abstract geometry concepts and practicing the application of logic and deductive reasoning.  Time will be allocated to understanding the “why” of geometry and geometry proofs in addition to simply “proving” them.  Geometry is about changing the way students “think” about math.  I’ve found that once students understand conceptually, geometry is not quite as perplexing and students are now able to identify what a specific problem is asking and solve for the correct answer.  My teaching style combines lectures with examples and exercises completed both independently and with other students in the course.  Word problems are integrated throughout the sessions to teach logic, reasoning, and critical thinking.  Word problems also demonstrate a student’s ability to apply what they’ve learned to everyday, real life situations.  The class meets for two 45-minute sessions each week through the fall and spring semesters.  

Week beginning:

Sept 9        Introduction to Geometry and Geometry Proofs
Sept 16      Points, Lines, Rays, Line Segments
Sept 23      Planes and Sets
Sept 30      Angles
Oct 7          Types of Angles
Oct 14.       Parallel and Perpendicular Lines
Oct 21.       Supplementary and Complementary Angles
Oct 28.      Transversals
Nov 4         Perimeter and Interior Angles
Nov 11        Area
Nov 18       Constructing and Identifying Triangles
Nov 25       BREAK - NO CLASS
Dec 2         Regular Polygons
Dec 9         Geometry of a Circle, Sphere, and Ellipse
Dec 16       Practical Application with Real Life Examples and Word Problems

Dec 23.      BREAK - NO CLASSES

Jan 6          Introduction to Geometry Proofs - deductive and inductive reasoning
Jan 13        Area of a Circle and Ellipse
Jan 27        Volume of a Rectangular Solid and Cylinder
Feb 3         Volume of a Pyramid, Cone, Prism, and Sphere
Feb 10       Surface Area of a Solid
Feb 17       Radicals
Feb 24      Pythagorean Theorem
Mar 3        More on Radicals
Mar 10      BREAK - NO CLASS
Mar 17       Special Triangles: 45 - 45 - 90  
Mar 24      Special Triangles: 30 - 60 - 90
Mar 31       Axioms, Postulates, and Theorems
Apr 7         Corresponding Parts of a Triangle
Apr 14       Proving Triangles Congruent: SSS and SAS
Apr 21       Proving Triangles Congruent: ASA and AAS
Apr 28      Proving Right Triangles Congruent
May 5       Proving Triangles Similar with AA
May 12      Transformational Geometry

BONUS MATERIAL (as time permits) 
Trigonometric Functions
Reciprocal Trigonometric Functions

其他詳情

外部資源
學習者無需使用標準 Outschool 工具以外的任何應用程式或網站。
已加入 April, 2020
4.9
395評論
熱門課程
教師檔案
教師專業知識和證書
學士學位 由 Metropolitan State University of Denver
I have been teaching math for 24 years.  My experience ranges from practical math to Algebra, Geometry and beyond.  Teaching students with IEPs and special needs has helped me become a better instructor by learning to effectively teach students with different learning styles.  

Math is like a foreign language when it is first introduced to students.  As students progress into Pre-Algebra and beyond, the language of math becomes complex with words and symbols they have never seen before.  My teaching style emphasizes concepts and proofs along with facts and formulas.  

I believe learning concepts along with facts and formulas is the bridge to success.  Students’ confidence increases significantly when they can apply a formula and actually understand what is being taught.  My greatest reward comes when a student's eyes light up because they finally “get it”!  Math is Fun!   

Professor P

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現場團體小班課程
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US$40

每週( US$20每班
每週 2 次
45 分鐘

有75 位學習者完成此課程
即時視訊會議
年齡: 12-17
4-18 每班學員人數

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