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تحليل براهين التطابق
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يهدف هذا الدرس لمساعدة المعلمين على تقييم مدى نجاح الطلاب في: العمل مع مفاهيم التطابق والتشابه، بما في ذلك تحديد الأضلاع المتناظرة والزوايا المتطابقة في المثلثات وبينها؛ وتحديد أهمية وجود المثال المضاد وفهمها؛ اثبات البراهين في سياق هندسي و تقييمها.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
هل المثلثات العشوائية حادة أم منفرجة الزاوية؟
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
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هذا الفيديو التعليمي يتعامل مع مسألة الاحتمالية الهندسية. الفكرة الرئيسية المعروضة هي حقيقة أن المعادلة الخطية للأبعاد الثلاثة تنتج الطائرة. يركز الفيديو على مثلثات عشوائية يتم تحديدها من خلال زواياها الثلاث الخاصة بها. يتم اختيار هذه الزوايا عشوائيا رهنا لحتمية وصول مجموعها الى 180 درجة. من الأمثلة على أنواع الأنشطة المتاحة داخل الصف أثناء فترة ما بين مقاطع الفيديو هي: اسأل ستة طلاب عن أرقام واجعل هذه الأرقام إحداثيات x,y لثلاث نقاط. ثم اطلب من الفصل محاولة معرفة كيفية تحديد ما إذا كان المثلث في تلك الزوايا حاد أو منفرج.

نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
Gilbert Strange
Date Added:
06/02/2012
Geometry Problems: Circles and Triangles
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This lesson unit is intended to help teachers assess how well students are able to use geometric properties to solve problems. In particular, the lesson will help you identify and help students who have the following difficulties: solving problems by determining the lengths of the sides in right triangles; and finding the measurements of shapes by decomposing complex shapes into simpler ones. The lesson unit will also help students to recognize that there may be different approaches to geometrical problems, and to understand the relative strengths and weaknesses of those approaches.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Identifying Similar Triangles
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This lesson unit is intended to help you assess how students reason about geometry and, in particular, how well they are able to: use facts about the angle sum and exterior angles of triangles to calculate missing angles; apply angle theorems to parallel lines cut by a transversal; interpret geometrical diagrams using mathematical properties to identify similarity of triangles.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Pocket Protractor
Conditions of Use:
Remix and Share
Rating

In this activity, learners create angle-measuring devices--protractors--out of paper. Learners follow a series of steps to fold a square sheet of paper into a triangular Pocket Protractor. Learners will practice measuring and identifying the angles of a triangle.

Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
11/07/2010
Solving Geometry Problems: Floodlights
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This lesson unit is intended to help teachers assess how well students are able to identify and use geometrical knowledge to solve a problem. In particular, this unit aims to identify and help students who have difficulty in: making a mathematical model of a geometrical situation; drawing diagrams to help with solving a problem; identifying similar triangles and using their properties to solve problems; and tracking and reviewing strategic decisions when problem-solving.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Walking Polygons
Conditions of Use:
Remix and Share
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In this activity, learners walk the sides and interior angles of various polygons drawn on the playground. As they do so, learners practice rotating clockwise 180 and 360 degrees. Learners discover there is a pattern to the sum of the interior angles of any polygon.

Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010