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تمثيل ثنائي الأبعاد للأجسام ثلاثية الأبعاد
Rating

يهدف هذا الدرس إلى مساعدة المعلمين على تقييم مدى نجاح الطلاب في تصوِّر المقاطع العرضية ثنائية الأبعاد الممثلة في الكائنات ثلاثية الأبعاد. يساعدك الدرس خصوصًا على تحديد الطلاب الذين يعانون من صعوبات في ادراك المقاطع العرضية ثنائية الأبعاد على طول النقاط المختلفة على مسطح ممثل في جسم ثلاثي الأبعاد ورسمها ومساعدة أولئك الطلاب.

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
التناوب ثنائي الأبعاد باستخدام المصفوفات
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
Rating

يوضح هذا العرض التوضيحي مفهوم دوران مضلع ثنائي الأبعاد. مصفوفة الدوران للزاوية الحالية معروضة أمامنا. المضلع الافتراضي هو مربع يمكنك تعديله.

نوع المادة:
Activity/Lab
Diagram/Illustration
Homework/Assignment
تفاعلية
محاكاة
Teaching/Learning Strategy
Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
المؤلف:
Mito Are and Valeria Antohe
Date Added:
09/04/2013
المثلثات المتطابقة بزاويتين وضلع
Conditions of Use:
قراءة النص المطبوع بخط رفيع
Rating

تطبيق تفاعلي صغير وصفحة إنترنت مرتبطة به، حيث يُظهر التطبيق كيف أن المثلثات المتماثلة في زاويتين وضلع تكون متطابقة. فيعرض التطبيق مثلثين، أحدهما يمكن إعادة هندسته من خلال سحب أي من رؤوسه. ونجد أن المثلث الثاني يتغير بحيث يظل متطابقاً مع الأول، وتظهر الزاويتين والضلع بارزتين بالغامق للتدليل على أنهم بنفس القياس وأنهم العناصر المستخدمة لإثبات التطابق. وتقوم صفحة الإنترنت بوصف هذا كله، كما أن بها روابط إلى صفحات أخرى ذات صلة. ويمكن تكبير التطبيق بحجم الشاشة كاملة لاستخدامه على جهاز العرض بالفصل المدرسي. علماً بأن هذا المورد هو أحد مكونات مشروع كتاب الهندسة الرياضية التفاعلية المشاعة المرجع على http://www.mathopenref.com.

نوع المادة:
القراءة
محاكاة
Provider:
المورد المُشاع للرياضيات
المؤلف:
John Page
Date Added:
02/16/2011
A-CED Regular Tessellations of the plane
Conditions of Use:
No Strings Attached
Rating

This task examines the ways in which the plane can be covered by regular polygons in a very strict arrangement called a regular tessellation. These tessellations are studied here using algebra, which enters the picture via the formula for the measure of the interior angles of a regular polygon (which should therefore be introduced or reviewed before beginning the task). The goal of the task is to use algebra in order to understand which tessellations of the plane with regular polygons are possible.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/21/2013
تحليل براهين التطابق
Rating

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
Angle Hunting
Conditions of Use:
Remix and Share
Rating

In this activity, learners use a hand-made protractor to measure angles they find in playground equipment. Learners will observe that angle measurements do not change with distance, because they are distance invariant, or constant. Note: The "Pocket Protractor" activity should be done ahead as a separate activity (see related resource), but a standard protractor can be used as a substitute.

Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Application of Derivatives
Conditions of Use:
يمكن إعادة ترتيب المحتوى ومشاركته
Rating

We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).Differentiation is also used in analysis of finance and economics.

نوع المادة:
محاكاة
Provider:
GeoGebra
Provider Set:
موقع GeoGebraTube
Date Added:
03/12/2012
Applying Angle Theorems
Rating

This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will support you in identifying and helping students who have the following difficulties: Solving problems relating to using the measures of the interior angles of polygons; and solving problems relating to using the measures of the exterior angles of polygons.

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
Are Random Triangles Acute or Obtuse?
Conditions of Use:
Remix and Share
Rating

This learning video deals with a question of geometrical probability. A key idea presented is the fact that a linear equation in three dimensions produces a plane. The video focuses on random triangles that are defined by their three respective angles. These angles are chosen randomly subject to a constraint that they must sum to 180 degrees. An example of the types of in-class activities for between segments of the video is: Ask six students for numbers and make those numbers the coordinates x,y of three points. Then have the class try to figure out how to decide if the triangle with those corners is acute or obtuse.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Gilbert Strange
Date Added:
06/02/2012
Bank Shot
Conditions of Use:
No Strings Attached
Rating

This task asks students to use similarity to solve a problem in a context that will be familiar to many, though most students are accustomed to using intuition rather than geometric reasoning to set up the shot.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/21/2012
البوارج
Rating

يستكشف هذا النشاط الخوارزميات الرئيسية التي يتم استخدامها كأساس للبحث عن أجهزة الكمبيوتر وذلك باستخدام أشكال مختلفة على لعبة حربية. يوضح هذا النشاط ثلاث طرق بحث للعثور على معلومات في البيانات: البحث الخطي، ثنائي البحث والثرم. كما يتضمن نشاط استهلالي اختياري وكذلك شريط فيديو يظهر مظاهرة مرح تتعلق بنفس المحتويات.

نوع المادة:
Activity/Lab
Game
Lesson Plan
محاكاة
Provider:
Computer Science Unplugged
Science and Math Informal Learning Educators (SMILE)
Provider Set:
Computer Science Unplugged
SMILE Pathway: Science and Math Activities in One Search
المؤلف:
Brian Mason Scientific and Technical Trust
Computer Science Unplugged
Google Inc.
Ian Witten
Jane McKenzie
Mike Fellows
Robyn Adams
Tim Bell
Date Added:
01/02/2002
CTE Architecture: Access Ramp
Conditions of Use:
Remix and Share
Rating

This task was developed by high school and postsecondary mathematics and design/pre-construction educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Material Type:
Activity/Lab
Assessment
Homework/Assignment
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
Date Added:
03/05/2012
CTE Architecture: Framing a House
Conditions of Use:
Remix and Share
Rating

This task was developed by high school and postsecondary mathematics and design/pre-construction educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Material Type:
Activity/Lab
Assessment
Homework/Assignment
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
Date Added:
03/05/2012
CTE Architecture: Storage Sheds
Conditions of Use:
Remix and Share
Rating

This task was developed by high school and postsecondary mathematics and design/pre-construction educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Material Type:
Activity/Lab
Assessment
Homework/Assignment
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
Date Added:
03/05/2012
CTE Health Sciences: Range of Motion
Conditions of Use:
Remix and Share
Rating

This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Material Type:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
Date Added:
07/27/2012
Calculating Volumes of Compound Objects
Rating

This lesson unit is intended to help teahcers assess how well students solve problems involving measurement, and in particular, to identify and help students who have the following difficulties; computing measurements using formulas; decomposing compound shapes into simpler ones; using right triangles and their properties to solve real-world problems.

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
Congruent Segments
Conditions of Use:
No Strings Attached
Rating

Students' first experience with transformations is likely to be with specific shapes like triangles, quadrilaterals, circles, and figures with symmetry. Exhibiting a sequence of transformations that shows that two generic line segments of the same length are congruent is a good way for students to begin thinking about transformations in greater generality.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Designing: Candy Cartons
Rating

This lesson unit is intended to help teachers assess how well students are able to: Select appropriate mathematical methods to use for an unstructured problem; interpret a problem situation, identifying constraints and variables, and specify assumptions; work with 2- and 3-dimensional shapes to solve a problem involving capacity and surface area; and communicate their reasoning clearly.

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
Determinants
Conditions of Use:
Remix and Share
Rating

This dynamic worksheet illustrates the relationship between the DETERMINANT, the Area of the pre-image, and the Area of the image.

Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Date Added:
04/26/2012