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.

Explore the origin of energy bands in crystals of atoms. The structure of these bands determines how materials conduct electricity.

This module contains the basic operations with real numbers from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr.

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.

This learning video is designed to develop critical thinking in students by encouraging them to work from basic principles to solve a puzzling mathematics problem that contains uncertainty. Materials for in-class activities include: a yard stick, a meter stick or a straight branch of a tree; a saw or equivalent to cut the stick; and a blackboard or equivalent. In this video lesson, during in-class sessions between video segments, students will learn among other things: 1) how to generate random numbers; 2) how to deal with probability; and 3) how to construct and draw portions of the X-Y plane that satisfy linear inequalities.

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.

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.

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.

With your mouse, drag data points and their error bars, and watch the best-fit polynomial curve update instantly. You choose the type of fit: linear, quadratic, cubic, or quartic. The reduced chi-square statistic shows you when the fit is good. Or you can try to find the best fit by manually adjusting fit parameters.

اتبع سيمون، أنيتا ودينيس عند انضمامهم لهانا، وهوعالم محلي، في تحقيق اكتشافات جديدة في خور الصفصاف.

Explore tunneling splitting in double well potentials. This classic problem describes many physical systems, including covalent bonds, Josephson junctions, and two-state systems such as spin 1/2 particles and ammonia molecules.

This lesson unit addresses common misconceptions relating to probability of simple and compound events. The lesson will help you assess how well students understand concepts of: Equally likely events; randomness; and sample sizes.

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.

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.

يعرض هذا الفيديو التعليمي مقدمة للعيوب التي تشوب المتوسطات باستخدام ثلاثة أمثلة مثيرة: '' عبور النهر'' كمثال، ملف تعريف الارتباط'''' كمثال، "فصل الرقص'' كمثال. ان المتوسطات غالبا ما تكون مفيدة عند تمثيل مجموعة من البيانات من قبل رقم وصفي واحد. ان الهدف من هذه الوحدة النمطية، مع ذلك، هو الاشارة ببساطة إلى عدد قليل من العثرات التي قد تنجم إذا لم يكن الطالب يقظا إلى التفاصيل عند حساب وتفسير المتوسطات. ان المعرفة الأساسية المسبقة لدرس الفيديو هو القدرة على حساب المتوسط ​​من مجموعة من الأرقام. سوف يتعلم الطلاب خلال الدرس الفيديو، ثلاثة شوائب للمتوسطات: (1) ان المتوسط ​​ليس دائما وصفا جيدا للوضع الفعلي، (2) ان وظيفة المتوسط ليست دائما مماثلة لمتوسط الدالة، و (3) يعتمد المتوسط على المنظور الخاص بك. لنقل هذه المفاهيم، يتم تعريف الطلاب بأمثلة العالم الحقيقي الثلاثة المذكورة أعلاه.

يُظهر هذا الفيديو التعليمي للطلاب أن الرياضيات يمكن أن تلعب دور في فهم كيفية انتشار المرض المعدي، وكيفية السيطرة عليه. وخلال هذا الدرس، سيقوم الطلاب برؤية واستخدام النموذجين الحتمي والاحتمالي، وسيتعلموا من خلال تأدية تمارين لعب الأدوار. علماً بأن التمارين الأساسية الممتدة بين مقاطع الفيديو الخاص بهذا الدرس هي عبارة عن ألعاب محاكاة مخصصة للفصول المدرسية يقوم فيها أعضاء الفصل بـ'عدوى' بعضهم البعض في ظل افتراضات نماذج رياضية بديلة حول متتالية تفاقم المرض. كذلك يكون هناك مناقشة عرضية داخل الفصل ومناقشة محلية مع زملاء الدراسة القريبين.

يبين درس الفيديو هذا للطلاب أن الرياضيات يمكن أن تلعب دوراً في فهم كيف ينتشر مرض معد وكيف يمكن السيطرة عليه. من خلال هذا الدرس، سيرى وسيستخدم الطلاب النماذج القطعية والاحتمالية على حد سواء وسيتعلمون بالممارسة من خلال تمارين لعب الأدوار. ان التدريبات الأولية بين مقاطع الفيديو المخصصة بهذا الدرس هي ألعاب محاكاة دراسية مكثفة و التي 'يصيب' فيها أعضاء الفصل بعضهم البعض في اطار افتراضات نموذجية للرياضيات البديلة حول تطور المرض. هناك أيضا نقاش عرضي بالفصل ومناقشة محلية مع الزملاء القريبين.

This video lesson is an example of ''teaching for understanding'' in lieu of providing students with formulas for determining the height of a dropped (or projected) object at any time during its fall. The concept presented here of creating a chart to organize and analyze data collected in a simple experiment is broadly useful. During the classroom breaks in this video, students will enjoy timing objects in free fall and balls rolling down ramps as a way of learning how to carefully conduct experiments and analyze the results. The beauty of this lesson is the simplicity of using only the time it takes for an object dropped from a measured height to strike the ground. There are no math prerequisites for this lesson and no needed supplies, other than a blackboard and chalk. It can be completed in one 50-60-minute classroom period.

This video lesson uses the technique of induction to show students how to analyze a seemingly random occurrence in order to understand it through the development of a mathematical model. Using the medium of a simple game, Dr. Lodhi demonstrates how students can first apply the 'rules' to small examples of the game and then, through careful observation, can begin to see the emergence of a possible pattern. Students will learn that they can move from observing a pattern to proving that their observation is correct by the development of a mathematical model. Dr. Lodhi provides a second game for students in the Teacher Guide downloadable on this page. There are no prerequisites for this lesson and needed materials include only a blackboard and objects of two different varieties - such as plain and striped balls, apples and oranges, etc. The lesson can be completed in a 50-minute class period.

This lesson unit is intended to help teachers assess how well students are able to: interpret data and evaluate statistical summaries; and critique someone elseŐs interpretations of data and evaluations of statistical summaries. The lesson also introduces students to the dangers of misapplying simple statistics in real-world contexts, and illustrates some of the common abuses of statistics and charts found in the media.