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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.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/21/2013
المعادلات والمتباينات والمقادير الجبرية
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يدور هذا الدرس حول محاولة جعل الطلاب يقيمون روابط بين الأفكار عن المعادلات والمتباينات والمقادير الجبرية. علماً بأن الدرس مصمم ليمنح الطلاب فرص استخدام المفردات الرياضية لغرض الوصف والمناقشة والعمل مع سلاسل الرموز هذه. وتهدف الفكرة إلى بدء الطلاب في تحصيل المعلومة الشاملة بالنظر إلى كامل سلسلة الأعداد بدلاً من التفكير فقط في إجراءات أو خطوات فردية. ومن المأمول أن يبدأ الطلاب في رؤية سلاسل الرموز كأغراض رياضية لها مجموعتها الفريدة من الصفات الخاصة بها. (رياضيات الصف السابع)

Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Disston, Jacob
Date Added:
11/30/2011
قطعان الحيوانات
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CC BY
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في هذه المهمة يكون على الطلاب تفسير تعبيرات تنطوي على اثنين من المتغيرات في سياق وضع العالم الحقيقي. يمكن تفسير جميع أشكال التعبير على أنها الكميات التي يمكن للمرء أن يدرسها عند البحث في اثنين من قطعان الحيوانات.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
فن التقريب في العلوم والهندسة: كيف تخرج بالإجابات سريعاً؟
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الغرض من هذا الفيديو التعليمي هو أن يرى الطلاب كيفية التفكير بتحرر أكبر حول مسائل الرياضيات والعلوم. فأحياناً يكون الحصول على إجابة تقريبية في مدة زمنية أقصر بكثير هو أمر يستحق الوقت الذي تم ادخاره. ويستكشف هذا الفيديو آليات لعمل حسابات تقريبية سريعة وارتجالية، وليست فقط دقيقة على نحو مدهش وإنما أيضاً منيرة لبناء الحدس والبديهة في فهم العلوم. ويتطرق هذا الفيديو إلى الجبر 1 الخاص بالصف العاشر وكذلك إلى فيزياء أولى ثانوي، إلا أن المفاهيم التي يغطيها (السرعة، المسافة، الكتلة، إلخ) أساسية بشكل كافي ليفهمها الطلاب الأصغر سناً الذين لديهم معرفة بالعلوم. وفي حالة الرغبة، يمكن للمعلمين أن يحضروا بندولات ذات أطوال مختلفة، وأثقال للتعليق، وساعة مؤقت لقياس المدة الزمنية. ومن الأمثلة على أنواع التمارين داخل الفصل المدرسي خلال الفترات الفاصلة بين مقاطع الفيديو، أن: تطلب من الطلاب تقدير حاصل ضرب 29 x 31 دون آلة حاسبة أو ورقة وقلم؛ وكذلك تسأل الطلاب عن المقدار الذي يستطيعون فيه الاقتراب من الثقب الأسود دون أن يبتلعهم.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Stephen M. Hou
Date Added:
06/02/2015
الحساب المصرفي
Unrestricted Use
CC BY
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هذه مهمة حقيقية تتطلب من الطلاب الإجابة عن أسئلة حول معادلاتٍ لحساب الفائدة المركبة.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Bernardo and Sylvia Play a Game
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CC BY
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This task presents a simple but mathematically interesting game whose solution is a challenging exercise in creating and reasoning with algebraic inequalities. The core of the task involves converting a verbal statement into a mathematical inequality in a context in which the inequality is not obviously presented, and then repeatedly using the inequality to deduce information about the structure of the game.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/21/2013
مسافة الفرملة
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CC BY
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This task provides an exploration of a quadratic equation by descriptive, numerical, graphical, and algebraic techniques. Based on its real-world applicability, teachers could use the task as a way to introduce and motivate algebraic techniques like completing the square, en route to a derivation of the quadratic formula.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
إنشاء المعادلات وحلها 1
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يهدف هذا الدرس لمساعدة المعلمين على تقييم مدى نجاح الطلاب في إنشاء المعادلات الخطية وحلها. على وجه الخصوص، يساعدك الدرس على تحديد الطلاب الذين لديهم الصعوبات الآتية ومساعدتهم: حل عادلات بمتغير واحد وحل المعادلات الخطية بأكثر من طريقة واحدة.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
CTE Health Sciences: BMI Calculations
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CC BY-NC-SA
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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.

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
CTE Health Sciences: False Positives
Conditional Remix & Share Permitted
CC BY-NC-SA
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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.

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
CTE Health Sciences: Medication Dosage
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
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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.

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
Classifying Solutions to Systems of Equations
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This lesson unit is intended to help teachers assess how well students are able to classify solutions to a pair of linear equations by considering their graphical representations. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using substitution to complete a table of values for a linear equation; identifying a linear equation from a given table of values; and graphing and solving linear equations.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Combined Fuel Efficiency
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The primary purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context (the fuel efficiency of of a car). Indeed, the given form of the combined fuel economy computation is useful for direct calculation, but if asked for an approximation, is not particularly helpful.

نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
01/25/2013
Comparing Investments
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This lesson unit is intended to help teachers assess how well students are able to interpret exponential and linear functions and in particular to identify and help students who have the following difficulties: translating between descriptive, algebraic and tabular data, and graphical representation of the functions; recognizing how, and why, a quantity changes per unit intervale; and to achieve these goals students work on simple and compound interest problems.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Comparing Linear Functions
قراءة النص المطبوع بخط رفيع
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The foundation of this lesson is constructing, communicating, and evaluating student-generated tables while making comparisons between three different financial plans. Students are given three different DVD rental plans and asked to analyze each one to see if they could determine when the 3 different DVD plans cost the same amount of money, if ever. (7th/8th Grade Math)

نوع المادة:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
في قلب الرياضيات
المؤلف:
Dimas, Cecilio
Date Added:
11/30/2011
Discounted Books
Unrestricted Use
CC BY
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This purpose of this task is to help students see two different ways to look at percentages both as a decrease and an increase of an original amount. In addition, students have to turn a verbal description of several operations into mathematical symbols.

Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Drawing to Scale: Designing a Garden
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CC BY-NC-ND
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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.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
جهاز رسم المعادلات (عربي)
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Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.

نوع المادة:
محاكاة
Provider:
University of Colorado Boulder
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Michael Dubson
Mindy Gratny
Patricia Loblein
Date Added:
06/01/2004
تشكيل المعادلات التربيعية
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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 understand what the different algebraic forms of a quadratic function reveal about the properties of its graphical representation. In particular, the lesson will help teachers identify and help students who have the following difficulties: understanding how the factored form of the function can identify a graphŐs roots; understanding how the completed square form of the function can identify a graphŐs maximum or minimum point; and understanding how the standard form of the function can identify a graphŐs intercept.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
أنماط التعميم: فعالية بلاط الطاولة
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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.

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
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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.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
مختبر قوة الجاذبية
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CC BY
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تصور قوة الجاذبية التي يمارسها شيئان كل منهما على الآخر. قم بتغيير خصائص الأشياء لكى ترى كيف تتغير قوة الجاذبية.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Noah Podolefsky
Patricia Loblein
Sam Reid
Date Added:
02/02/2013
Guess My Number
Unrestricted Use
CC BY
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This problem asks the students to represent a sequence of operations using an expression and then to write and solve simple equations. The problem is posed as a game and allows the students to visualize mathematical operations. It would make sense to actually play a similar game in pairs first and then ask the students to record the operations to figure out each other's numbers.

نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
08/07/2012
Lines and Linear Equations
Only Sharing Permitted
CC BY-NC-ND
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5,0 stars

This lesson unit is intended to help teahcers assess how well students are able to interpret speed as the slope of a linear graph and translate between the equation of a line and its graphical representation.

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.

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
Modeling Situations With Linear Equations
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CC BY-NC-ND
Rating
4,0 stars

This lesson unit is intended to help you assess how well students use algebra in context, and in particular, how well students: explore relationships between variables in everyday situations; find unknown values from known values; find relationships between pairs of unknowns, and express these as tables and graphs; and find general relationships between several variables, and express these in different ways by rearranging formulae.

نوع المادة:
التقييم
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
قانون أوم
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CC BY
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شاهد كيف تتصل شكل المعادلة في قانون أوم بدائرة بسيطة. اضبط الجهد والمقاومة، وشاهد التغيير الحالي وفقا لقانون أوم. تتغير أحجام الرموز في المعادلة لتتناسب مع الرسم البياني للدارات.

Material Type:
Activity/Lab
Interactive
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Mindy Gratny
Date Added:
11/16/2007
قانون أوم
Unrestricted Use
CC BY
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شاهد كيف تتصل شكل المعادلة في قانون أوم بدائرة بسيطة. اضبط الجهد والمقاومة، وشاهد التغيير الحالي وفقا لقانون أوم. تتغير أحجام الرموز في المعادلة لتتناسب مع الرسم البياني للدارات.

Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Mindy Gratny
Date Added:
06/02/2008
Playground Patterns of Cracks
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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.

Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
ربح شركة ما
Unrestricted Use
CC BY
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This task compares the usefulness of different forms of a quadratic expression. Students have to choose which form most easily provides information about the maximum value, the zeros and the vertical intercept of a quadratic expression in the context of a real world situation. Rather than just manipulating one form into the other, students can make sense out of the structure of the expressions.

نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
05/01/2012
حركة المقذوفات
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CC BY
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قم بتفجير بويك من مدفع! تعلم حركة المقذوفات بإطلاق الأشياء المختلفة. قم بتعيين الزاوية, السرعة الأولية والكتلة. أضف مقاومة الهواء. صمم لعبة للخروج من هذه المحاكاة بمحاولة إصابة هدف.

نوع المادة:
محاكاة
Provider:
University of Colorado Boulder
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Michael Dubson
Wendy Adams
Date Added:
06/02/2008
Properties of Quadrilaterals
قراءة النص المطبوع بخط رفيع
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This lesson is about properties of quadrilaterals and learning to investigate, formulate, conjecture, justify, and ultimately prove mathematical theorems. Students will: Analyze characteristics and properties of two- and three-dimensional geometric shapes; develop mathematical arguments about geometric relationships; and apply appropriate techniques, tools, and formulas to determine measurements.Explore relationships among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. Employ forms of mathematical reasoning and proof appropriate to the solution of the problem at hand, including deductive and inductive reasoning, making and testing conjectures, and using counter examples and indirect proof. Identify, formulate and confirm conjectures. Establish the validity of geometric conjectures using deduction, prove theorems, and critique arguments made by others. (9th/10th Grade Math)

نوع المادة:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
في قلب الرياضيات
المؤلف:
Humphreys, Cathy
Date Added:
11/30/2011
الدوال التربيعية
قراءة النص المطبوع بخط رفيع
Rating
0,0 stars

This lesson focuses on students making decisions about what tools to apply to solve different problems related to quadratic expressions and equations. It is also intended to build awareness of the form an answer will take in order to help students make sense of the kind of problem they are solving. (9th/10th/11th Grade Math)

نوع المادة:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
في قلب الرياضيات
المؤلف:
Shreve, Barbara
Date Added:
11/30/2011
Quinoa Pasta 3
Unrestricted Use
CC BY
Rating
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This tasks is an example of a mathematical modeling problem (SMP 4) and it also illustrates SMP 1 (Making sense of a problem). Students are only told that there are two ingredients in the pasta and they have a picture of the box. It might even be better to just show the picture of the box, or to bring in the box and ask the students to pose the question themselves.

نوع المادة:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
المؤلف:
Illustrative Mathematics
Date Added:
09/13/2012
الطريق المنحدر
Unrestricted Use
CC BY
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استكشف القوى، الطاقة والعمل أثناء دفعك الأجسام المنزلية صعودا وهبوطا في الطريق المنحدر. اخفض و ارفع الطريق المنحدر لترى كيف تؤثر زاوية الميل على القوى الموازية المؤثرة على مبرد الخزانة. تعرض الرسومات البيانية القوى، الطاقة والعمل.

Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Woieman
Danielle Harlow
Kathy Perkins
Patricia Loblein
Sam Reid
Wendy Adams
Date Added:
11/02/2009
Repeating Decimals
Only Sharing Permitted
CC BY-NC-ND
Rating
4.0 stars

This lesson unit is intended to help teachers assess how well students are able to: translate between decimal and fraction notation, particularly when the decimals are repeating; create and solve simple linear equations to find the fractional equivalent of a repeating decimal; and understand the effect of multiplying a decimal by a power of 10.

Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
المقاومة في الأسلاك
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CC BY
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تعرف على فيزياء المقاومة في الأسلاك. قم بتغيير المقاومة، الطول، والمنطقة لتشاهد كيف أنها تؤثرعلى مقاومة السلك. تتغير أحجام الرموز في المعادلة جنبا إلى جنب مع الرسم التخطيطي للسلك.

نوع المادة:
محاكاة
Provider:
University of Colorado Boulder
Provider Set:
المحاكاة التفاعلية لموقع PhET
المؤلف:
Michael Dubson
Mindy Gratny
Wendy Adams
Date Added:
06/02/2008