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تمثيل ثنائي الأبعاد للأجسام ثلاثية الأبعاد
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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.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
التناوب ثنائي الأبعاد باستخدام المصفوفات
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يوضح هذا العرض التوضيحي مفهوم دوران مضلع ثنائي الأبعاد. مصفوفة الدوران للزاوية الحالية معروضة أمامنا. المضلع الافتراضي هو مربع يمكنك تعديله.

الموضوع:
هندسة الشكل
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
قراءة النص المطبوع بخط رفيع
Rating
3,66666666667 stars

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.

الموضوع:
هندسة الشكل
نوع المادة:
القراءة
محاكاة
Provider:
المورد المُشاع للرياضيات
المؤلف:
John Page
Date Added:
02/16/2011
A-CED Regular Tessellations of the plane
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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.

الموضوع:
الرياضيات
علم الجبر
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
01/21/2013
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.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Angle Hunting
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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.

الموضوع:
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Application of Derivatives
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CC BY-SA
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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.

الموضوع:
Finance
هندسة الشكل
نوع المادة:
محاكاة
Provider:
GeoGebra
Provider Set:
موقع GeoGebraTube
Date Added:
03/12/2012
تطبيق نظريات الزوايا
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يهدف هذا الدرس لمساعدتك في تقييم مدى نجاح الطلاب باستخدام الخصائص الهندسية من أجل حل المشاكل. على وجه الخصوص، سوف تدعمكم في تحديد ومساعدة الطلاب الذين لديهم الصعوبات التالية: حل المشاكل المتعلقة باستخدام قياسات الزوايا الداخلية للمضلعات؛ وحل المشاكل المتعلقة باستخدام قياسات الزوايا الخارجية للمضلعات.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
هل المثلثات العشوائية حادة أم منفرجة الزاوية؟
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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.

الموضوع:
هندسة الشكل
الإحصائيات والاحتمالات
نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
Gilbert Strange
Date Added:
06/02/2012
ضربة مركبة في لعبة البلياردو (حيث تضرب الكرة في أحد الجوانب ثم تدخل في الجيب)
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هذه المهمة تتطلب من الطلاب استخدام التشابه لحل المشكلة في السياق الذي سيكون مألوفا للكثيرين، على الرغم من أن معظم الطلاب اعتادوا على استخدام الحدس بدلا من التفكير الهندسي لاعداد اللقطة التصويرية.

الموضوع:
الرياضيات
هندسة الشكل
علم المثلثات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
08/21/2012
البوارج
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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.

الموضوع:
علم الحاسوب
الهندسة
التعليم
الرياضيات
هندسة الشكل
نوع المادة:
Activity/Lab
Game
Lesson Plan
محاكاة
Provider:
ComPADRE Digital Library
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
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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.

الموضوع:
Architecture and Design
هندسة الشكل
علم المثلثات
نوع المادة:
Activity/Lab
التقييم
Homework/Assignment
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
التعليم المهني التقني
Date Added:
03/05/2012
هندسة التعليم الفني المهني: هيكلة المنزل
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
3,25 stars

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.

الموضوع:
Architecture and Design
هندسة الشكل
Ratios and Proportions
نوع المادة:
Activity/Lab
التقييم
Homework/Assignment
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
التعليم المهني التقني
Date Added:
03/05/2012
CTE Architecture: Storage Sheds
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0,0 stars

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.

الموضوع:
Architecture and Design
هندسة الشكل
الإحصائيات والاحتمالات
نوع المادة:
Activity/Lab
التقييم
Homework/Assignment
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
التعليم المهني التقني
Date Added:
03/05/2012
CTE Health Sciences: Range of Motion
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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.

الموضوع:
Health, Medicine and Nursing
هندسة الشكل
Ratios and Proportions
نوع المادة:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
التعليم المهني التقني
Date Added:
07/27/2012
Calculating Volumes of Compound Objects
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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.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Congruent Segments
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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.

الموضوع:
الرياضيات
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
Designing: Candy Cartons
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CC BY-NC-ND
Rating
4,0 stars

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.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Dilating a Line
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CC BY
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This task gives students the opportunity to verify that a dilation takes a line that does not pass through the center to a line parallel to the original line, and to verify that a dilation of a line segment (whether it passes through the center or not) is longer or shorter by the scale factor.

الموضوع:
الرياضيات
هندسة الشكل
علم المثلثات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
Drawing to Scale: Designing a Garden
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CC BY-NC-ND
Rating
4,5 stars

This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.

الموضوع:
علم الجبر
هندسة الشكل
Ratios and Proportions
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
معادلات الدوائر 1
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CC BY-NC-ND
Rating
3,0 stars

This lesson unit is intended to help teachers assess how well students are able to: use the Pythagorean theorem to derive the equation of a circle; and translate between the geometric features of circles and their equations.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
معادلات الدوائر 2
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This lesson unit is intended to help teachers assess how well students are able to: translate between the equations of circles and their geometric features; and sketch a circle from its equation.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
التقدير: عد الأشجار
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CC BY-NC-ND
Rating
4,5 stars

This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.

الموضوع:
التعليم
هندسة الشكل
القياس والبيانات
Ratios and Proportions
نوع المادة:
التقييم
ملاحظات المحاضرة
Lesson Plan
Teaching/Learning Strategy
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
المؤلف:
http://map.mathshell.org/
Date Added:
04/26/2013
Estimations and Approximations: The Money Munchers
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CC BY-NC-ND
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4,0 stars

This lesson unit is intended to help you assess how well students are able to: Model a situation; make sensible, realistic assumptions and estimates; and use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Evaluating Statements About Enlargements (2D and 3D)
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CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to solve problems involving area and volume, and in particular, to help you identify and assist students who have difficulties with the following: computing perimeters, areas and volumes using formulas; and finding the relationships between perimeters, areas, and volumes of shapes after scaling.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Evaluating Statements About Length and Area
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CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students can: Understand the concepts of length and area; use the concept of area in proving why two areas are or are not equal; and construct their own examples and counterexamples to help justify or refute conjectures.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Exploring Tessellations (Grades 6-8)
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CC BY-NC-SA
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In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle. This lesson features three investigations, in which learners make tessellations by translating, rotating, and reflecting the patterns.

الموضوع:
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
الهندسة الكسيرية والمعادلات التفاضلية الرائعة
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CC BY-NC-SA
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يقوم هذا الفيديو التعليمي بتعريف الطلاب على عالم الهندسة الكسيرية من خلال استخدام المعادلات التفاضلية. وكشرط مسبق لهذا الدرس، سيحتاج الطلاب إلى عامين من دراسة جبر المرحلة الثانوية (بحيث يكونوا مرتاحين مع معادلات المتغير الواحد)، وكذلك إلى دافع لتعلم الحسابيات المعقدة الأساسية. وقد قامت الآنسة زاجر بتضمين شرح تقديمي كامل حول الحسابيات المعقدة بالإضافة إلى فروض منزلية متاحة هنا للتنزيل. كذلك متاح تنزيل بعض مسائل التحدي الإضافية. علماً بأن الوقت اللازم لإكمال الدرس الأساسي هو ساعة تقريباً، والمواد المطلوبة تشمل: سبورة ومكان للطلاب ليعملوا في مجموعات صغيرة. وخلال أقسام هذا الدرس التفاعلي داخل الفصل، سيقوم الطلاب بالتفكير المكثف حول محصلة لعبة الفوضى، ويمارسوا حساب مسارات معادلات مختلفة.

الموضوع:
هندسة الشكل
نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
Laura Zager
Date Added:
07/12/2014
صور نمطية هندسية متكررة رائعة ومعادلات الفرق
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CC BY-NC-SA
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يعرف هذا الفيديو التعليمي الطلاب على عالم الهندسة الكسورية من خلال استخدام معادلات الفرق. كشرط مسبق لهذا الدرس، فإن الطلاب بحاجة الى قضاء عامين في دراسة علم الجبر بالمدرسة الثانوية (الارتياح مع استخدام المعادلات ذات المتغير الواحد) والحافز لتعلم العمليات الحسابية الأساسية المركبة. أدرجت الآنسة زاجر برنامج تعليمي تمهيدي كامل حول الحساب المركب مع الواجبات المنزلية متوفر للتحميل هنا. كذلك متوفر للتحميل بعض مسائل التحدي الإضافي. ان الوقت المطلوب لإكمال الدرس الأساسي هو ساعة واحدة تقريبا، وتتضمن المواد اللازمة السبورة السوداء / السبورة البيضاء وكذلك مساحة للطلاب للعمل ضمن مجموعات صغيرة. أثناء الأوقات المستقطعة من الحصة بهذا الدرس التفاعلي، سيطرح الطلاب الافكار حول نتائج لعبة الفوضى و سيمارسون حساب مسارات المعادلات المختلفة.

الموضوع:
هندسة الشكل
نوع المادة:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
المؤلف:
Laura Zager
Date Added:
06/02/2012
Finding the Intersection
قراءة النص المطبوع بخط رفيع
Educational Use
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In this Cyberchase video, Inez and Digit identify the location of the transformation using their knowledge of parallel and intersecting lines.

Subject:
Mathematics
Geometry
Material Type:
Lecture
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media: Multimedia Resources for the Classroom and Professional Development
Author:
U.S. Department of Education
WNET
Date Added:
07/10/2008
Find the Missing Angle
Unrestricted Use
CC BY
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This task "Uses facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure (7.G.5)" except that it requires students to know, in addition, something about parallel lines, which students will not see until 8th grade.

الموضوع:
الرياضيات
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
Floor Plan
Unrestricted Use
CC BY
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The purpose of this task is for students to translate between measurements given in a scale drawing and the corresponding measurements of the object represented by the scale drawing.

الموضوع:
الرياضيات
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
G-MG Tennis Balls in a Can
Unrestricted Use
CC BY
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This task is inspired by the derivation of the volume formula for the sphere. If a sphere of radius 1 is enclosed in a cylinder of radius 1 and height 2, then the volume not occupied by the sphere is equal to the volume of a Ňdouble-naped coneÓ with vertex at the center of the sphere and bases equal to the bases of the cylinder.

الموضوع:
الرياضيات
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
أنماط التعميم: فعالية بلاط الطاولة
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CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to identify linear and quadratic relationships in a realistic context: the number of tiles of different types that are needed for a range of square tabletops. In particular, this unit aims to identify and help students who have difficulties with: choosing an appropriate, systematic way to collect and organize data; examining the data and looking for patterns; finding invariance and covariance in the numbers of different types of tile; generalizing using numerical, geometrical or algebraic structure; and describing and explaining findings clearly and effectively.

الموضوع:
علم الجبر
هندسة الشكل
القياس والبيانات
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Generalizing Patterns: The Difference of Two Squares
Only Sharing Permitted
CC BY-NC-ND
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3,0 stars

This lesson unit is intended to help you assess how well students working with square numbers are able to: choose an appropriate, systematic way to collect and organize data, examining the data for patterns; describe and explain findings clearly and effectively; generalize using numerical, geometrical, graphical and/or algebraic structure; and explain why certain results are possible/impossible, moving towards a proof.

الموضوع:
علم الجبر
هندسة الشكل
القياس والبيانات
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
هندسة الشكل
Unrestricted Use
CC BY
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In this course, you will study the relationships between lines and angles. You will learn to calculate how much space an object covers, determine how much space is inside of a three-dimensional object, and other relationships between shapes, objects, and the mathematics that govern them.

الموضوع:
هندسة الشكل
نوع المادة:
Activity/Lab
المقرر التعليمي الكامل
Homework/Assignment
القراءة
Syllabus
Provider:
The Saylor Foundation
Date Added:
08/28/2013
مسائل هندسية: الدوار والمثلثات
Only Sharing Permitted
CC BY-NC-ND
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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.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
How Many Cells are in the Human Body?
Unrestricted Use
CC BY
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The purpose of this task is for students to apply the concepts of mass, volume, and density in a real-world context. There are several ways one might approach the problem, e.g., by estimating the volume of a person and dividing by the volume of a cell.

الموضوع:
الرياضيات
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
11/13/2012
تحديد المثلثات المتشابهة
Only Sharing Permitted
CC BY-NC-ND
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4,0 stars

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.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Inscribed Angles That Intercept the Same Arc
Conditional Remix & Share Permitted
CC BY-NC-SA
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If two inscribed angles intercept the same arc, then the angles are equal. Drag the orange points to change the figure.

الموضوع:
هندسة الشكل
نوع المادة:
Activity/Lab
Diagram/Illustration
Homework/Assignment
تفاعلية
محاكاة
Teaching/Learning Strategy
Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
المؤلف:
Jay Warendorff
Date Added:
09/04/2013
Inscribing and Circumscribing Right Triangles
Only Sharing Permitted
CC BY-NC-ND
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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, it will help you identify and help students who have difficulty: decomposing complex shapes into simpler ones in order to solve a problem; bringing together several geometric concepts to solve a problem; and finding the relationship between radii of inscribed and circumscribed circles of right triangles.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Joining Two Midpoints of Sides of a Triangle
Unrestricted Use
CC BY
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This task is closely related to very important material about similarity and ratios in geometry.

الموضوع:
الرياضيات
هندسة الشكل
علم المثلثات
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
01/21/2013
Laws of Arithmetic
Only Sharing Permitted
CC BY-NC-ND
Rating
4,0 stars

This lesson unit is intended to help you assess how well students are able to: Perform arithmetic operations, including those involving whole-number exponents, recognizing and applying the conventional order of operations; Write and evaluate numerical expressions from diagrammatic representations and be able to identify equivalent expressions; apply the distributive and commutative properties appropriately; and use the method for finding areas of compound rectangles.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Making a Translation Tessellation
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this activity, learners slide shapes to create unusual tiled patterns. Learners transform a rectangle into a more interesting shape and then make a tessellation by repeating that shape over and over again. Learners will also calculate the area of a rectangle. This activity works best as a "centers" activity.

الموضوع:
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Maths and Islamic art & design
قراءة النص المطبوع بخط رفيع
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This resource provides a variety of information and activities that teachers may like to use with their students to explore the Islamic Middle East collections at the V&A. It can be used to support learning in Maths and Art. Included in this resource are sections on:

Principles of Islamic art and design
Pre-visit activities
Activities to do in the museum
Activities to do back at school
Islamic art explores the geometric systems that depend upon the regular division of the circle and the study of Islamic art increases appreciation and understanding of geometry. The use of these geometric systems creates a harmony among Islamic decorative arts and architecture, which is consistent with the Islamic belief that all creation is harmoniously interrelated.

Approaching an abstract subject in a concrete way provides a means of extending maths into other curriculum areas. The context of the Museum expands and enriches students' appreciation of the application of geometry in a cultural context and develops the sense of different cultural identities. Students have the opportunity to become familiar with the relationship between geometry and design and this can give confidence to students who have never seen themselves as 'good at art'.

الموضوع:
Arts and Humanities
هندسة الشكل
نوع المادة:
Activity/Lab
Diagram/Illustration
Provider:
Victoria and Albert Museum
Provider Set:
المؤلفون الأفراد
Date Added:
02/19/2014
Maximizing Area: Gold Rush
Only Sharing Permitted
CC BY-NC-ND
Rating
3,0 stars

This lesson unit is intended to help you assess how well students are able to: Interpret a situation and represent the variables mathematically; select appropriate mathematical methods to use; explore the effects on the area of a rectangle of systematically varying the dimensions whilst keeping the perimeter constant; interpret and evaluate the data generated and identify the optimum case; and communicate their reasoning clearly.

الموضوع:
هندسة الشكل
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Modeling: Rolling Cups
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to: choose appropriate mathematics to solve a non-routine problem; generate useful data by systematically controlling variables; and develop experimental and analytical models of a physical situation.

الموضوع:
وظائف
هندسة الشكل
القياس والبيانات
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Navigating by the Numbers
قراءة النص المطبوع بخط رفيع
Educational Use
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In this lesson, students will learn that math is important in navigation and engineering. Ancient land and sea navigators started with the most basic of navigation equations (Speed x Time = Distance). Today, navigational satellites use equations that take into account the relative effects of space and time. However, even these high-tech wonders cannot be built without pure and simple math concepts basic geometry and trigonometry that have been used for thousands of years. In this lesson, these basic concepts are discussed and illustrated in the associated activities.

الموضوع:
الهندسة
الرياضيات
هندسة الشكل
علم المثلثات
نوع المادة:
Activity/Lab
Lesson Plan
Provider:
درّس الهندسة
Provider Set:
درّس الهندسة
المؤلف:
Janet Yowell
Jeff White
Malinda Schaefer Zarske
Penny Axelrad
Date Added:
09/18/2014
Newton's method (Newton-Raphson)
Conditional Remix & Share Permitted
CC BY-SA
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This shows how Newton's method (also known as Newton-Raphson) is used to find a root of a function. You can show/hide various parts of the construction, and edit the particular function being considered.

الموضوع:
وظائف
هندسة الشكل
نوع المادة:
محاكاة
Provider:
GeoGebra
Provider Set:
موقع GeoGebraTube
Date Added:
03/12/2012
Optimizing: Security Cameras
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help sixth grade teachers assess how well students are able to: Analyze a realistic situation mathematically; construct sight lines to decide which areas of a room are visible or hidden from a camera; find and compare areas of triangles and quadrilaterals; and calculate and compare percentages and/or fractions of areas.

الموضوع:
هندسة الشكل
Ratios and Proportions
نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
The Physics of Pool
Conditional Remix & Share Permitted
CC BY-NC-SA
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The objective of this lesson is to illustrate how a common everyday experience (such as playing pool) can often provide a learning moment. In the example chosen, we use the game of pool to help explain some key concepts of physics. One of these concepts is the conservation of linear momentum since conservation laws play an extremely important role in many aspects of physics. The idea that a certain property of a system is maintained before and after something happens is quite central to many principles in physics and in the pool example, we concentrate on the conservation of linear momentum. The latter half of the video looks at angular momentum and friction, examining why certain objects roll, as opposed to slide. We do this by looking at how striking a ball with a cue stick at different locations produces different effects.

الموضوع:
هندسة الشكل
الفيزياء
نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
Joseph A. Formaggio
Date Added:
06/02/2012
Playground Patterns of Cracks
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this math activity, learners observe and sketch cracking patterns in pavement. Learners use a protractor to measure and label the angles of their sketches and conclude if some angles are more common than others.

الموضوع:
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Pocket Protractor
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
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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.

الموضوع:
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
متحف Exploratorium لدعم التعليم
المؤلف:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
11/07/2010
Points Equidistant from Two Points in the Plane
Unrestricted Use
CC BY
Rating
0,0 stars

This task is part of a series presenting important foundational geometric results and constructions which are fundamental for more elaborate arguments. They are presented without a real world context so as to see the important hypotheses and logical steps involved as clearly as possible.

الموضوع:
الرياضيات
هندسة الشكل
نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
01/11/2013