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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.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
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.

Material Type:
Activity/Lab
Diagram/Illustration
Homework/Assignment
Interactive
Simulation
Teaching/Learning Strategy
Provider:
Wolfram Research
Provider Set:
Wolfram Demonstrations Project
Author:
Mito Are and Valeria Antohe
Date Added:
09/04/2013
المثلثات المتطابقة بزاويتين وضلع
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.

Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
02/16/2011
A-CED Regular Tessellations of the plane
Unrestricted Use
CC BY
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
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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)
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.

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
Conditional Remix & Share Permitted
CC BY-SA
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.

Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
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.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Gilbert Strange
Date Added:
06/02/2012
ضربة مركبة في لعبة البلياردو (حيث تضرب الكرة في أحد الجوانب ثم تدخل في الجيب)
Unrestricted Use
CC BY
Rating

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.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/21/2012
البوارج
Only Sharing Permitted
CC BY-NC-ND
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.

Material Type:
Activity/Lab
Game
Lesson Plan
Simulation
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
Author:
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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CC BY-NC-SA
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.

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

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
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CC BY-NC-SA
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.

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
Conditional Remix & Share Permitted
CC BY-NC-SA
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
Only Sharing Permitted
CC BY-NC-ND
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.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Congruent Segments
Unrestricted Use
CC BY
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
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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: 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)
Date Added:
04/26/2013
Determinants
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CC BY-SA
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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
Determinants
Conditional Remix & Share Permitted
CC BY-SA
Rating

Ana Donevska Todorova Humboldt Universitハt zu Berlin Mathematisch-Naturwissenschaftliche Fakultハt II Institut f゚r Mathematik, Didaktik der Mathematik ??? ?????????? ?????? ???????? ?? ???????????? ????? ? ????

Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Date Added:
03/12/2012
Determinants and Analytic Geometry
Conditional Remix & Share Permitted
CC BY-SA
Rating

Ana Donevska Todorova Humboldt Universitハt zu Berlin Mathematisch-Naturwissenschaftliche Fakultハt II Institut f゚r Mathematik, Didaktik der Mathematik

Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Date Added:
03/12/2012
Dilating a Line
Unrestricted Use
CC BY
Rating

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.

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
Only Sharing Permitted
CC BY-NC-ND
Rating

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.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
معادلات الدوائر 1
Only Sharing Permitted
CC BY-NC-ND
Rating

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.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
معادلات الدوائر 2
Only Sharing Permitted
CC BY-NC-ND
Rating

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.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
التقدير: عد الأشجار
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CC BY-NC-ND
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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.

Material Type:
Assessment
Lecture Notes
Lesson Plan
Teaching/Learning Strategy
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Author:
http://map.mathshell.org/
Date Added:
04/26/2013
Estimations and Approximations: The Money Munchers
Only Sharing Permitted
CC BY-NC-ND
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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.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Evaluating Statements About Enlargements (2D and 3D)
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 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.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Evaluating Statements About Length and Area
Only Sharing Permitted
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.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Everything Maths: Grade 11
Unrestricted Use
CC BY
Rating

This is a comprehensive math textbook for Grade 11. It can be downloaded, read on-line on a mobile phone, computer or iPad. Every chapter has links to on-line video lessons and explanations. Summary presentations at the end of each chapter offer an overview of the content covered, with key points highlighted for easy revision. Topics covered are: language of mathematics, exponents, surds, error margins, quadratic sequences, finance, quadratic equations, quadratic inequalities, simultaneous equations, mathematical models, quadratic functions and graphs, hyperbolic functions and graphs, exponential functions and graphs, gradient at point, linear programming, geometry, trigonometry, statistics, independent variables, dependent events. This book is based upon the original Free High School Science Text series.

نوع المادة:
Textbook
Provider:
موقع Siyavula
Date Added:
04/12/2012
Experimenting with Symmetry
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

In this activity, learners use pattern blocks and mirrors to explore symmetry. Learners work in pairs and build mirror images of each other's designs. In doing so, learners will examine principles of symmetry and reflection.

Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Exploring Tessellations (Grades 6-8)
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

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.

Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
الهندسة الكسيرية والمعادلات التفاضلية الرائعة
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Laura Zager
Date Added:
07/12/2014
صور نمطية هندسية متكررة رائعة ومعادلات الفرق
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

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.

Material Type:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
Author:
Laura Zager
Date Added:
06/02/2012
Figure This! Math Challenges for Families
Restricted Use
Copyright Restricted
Rating

This web site offers families, teachers, and tutors 80 mathematical challenges helpful for encouraging problem solving with students in grades 6 to 8. The math challenges focus on concepts and objects found in everyday life, such as how fast your heart beats, what shape container holds the most popcorn, and how much of me shows in a mirror. Each challenge contains an initial problem with a solution hint, a complete explanation of the answer, and additional problems related to the same challenge. Resources for further investigations are suggested as well. From the Printing the Challenges link on the homepage, PDF files are available for all 80 challenges in English, the first 15 challenges in Spanish, and the family resource materials in English and Spanish.

نوع المادة:
Activity/Lab
Homework/Assignment
Provider:
المجلس الوطني لمدرسي الرياضيات
Provider Set:
تعرف على هذا!
Date Added:
01/01/2002
Finding the Intersection
قراءة النص المطبوع بخط رفيع
Educational Use
Rating

In this Cyberchase video, Inez and Digit identify the location of the transformation using their knowledge of parallel and intersecting lines.

Material Type:
Lecture
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media Common Core Collection
Teachers' Domain
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.

نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
Floor Plan
Unrestricted Use
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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.

نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012