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.
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The purpose of this learning video is to show students how to think more freely about math and science problems. Sometimes getting an approximate answer in a much shorter period of time is well worth the time saved. This video explores techniques for making quick, back-of-the-envelope approximations that are not only surprisingly accurate, but are also illuminating for building intuition in understanding science. This video touches upon 10th-grade level Algebra I and first-year high school physics, but the concepts covered (velocity, distance, mass, etc) are basic enough that science-oriented younger students would understand. If desired, teachers may bring in pendula of various lengths, weights to hang, and a stopwatch to measure period. Examples of in- class exercises for between the video segments include: asking students to estimate 29 x 31 without a calculator or paper and pencil; and asking students how close they can get to a black hole without getting sucked in.
هذا الفيديو التعليمي مصمم لتطوير التفكير المكثف بداخل الطلاب من خلال تشجيعهم على العمل بالمبادئ الأساسية لحل مسألة رياضية ملغزة تحوي مبدأ الريبة. علماً بأن أمثلة المواد الخاصة بالأنشطة داخل الفصل، تشمل: عصا قياس، متر قياس أو فرع مستقيم من شجرة؛ منشار أو ما شابه لقطع العصا؛ سبورة أو ما شابه. وفي هذا الفيديو التعليمي، سيتعلم الطلاب خلال جلسات الفصل الممتدة بين مقاطع الفيديو، ما يلي من بين أشياء أخرى: 1) كيفية توليد أعداد عشوائية؛ 2) كيفية التعامل مع الاحتمالات؛ 3) كيفية بناء ورسم أجزاء المستوى س-ص الذي يوافق المتباينة الخطية.
This learning video uses a simple analog setup to explore why earthquakes are so unpredictable. The setup is simple enough that students should be able to assemble and operate it on their own with a teacher's supervision. The teaching approach used in this module is known as the 5E approach, which stands for Engagement, Exploration, Explanation, Elaboration, and Evaluation. Over the course of this lesson, the basic mechanisms that give rise to the behavior of the simple analog system are explained, and further elaboration helps the students to apply their understanding of the analog system to complex fault systems that cause earthquakes
This video lesson aims to motivate students about chemistry and to raise their awareness about how chemistry helps in solving certain environmental problems. In this lesson, the air pollution problem created by cars and other vehicles is presented. The lesson will highlight causes of this problem, harmful products from it and possible solutions. There will also be discussion of ways to convert the pollutants produced by burning oil in vehicles into more friendly products.
The topic of this video module is how to classify animals based on how closely related they are. The main learning objective is that students will learn how to make phylogenetic trees based on both physical characteristics and on DNA sequence. Students will also learn why the objective and quantitative nature of DNA sequencing is preferable when it come to classifying animals based on how closely related they are. Knowledge prerequisites to this lesson include that students have some understanding of what DNA is and that they have a familiarity with the base-pairing rules and with writing a DNA sequence.
Scientists who are working to discover new medicines often use robots to prepare samples of cells, allowing them to test chemicals to identify those that might be used to treat diseases. Students will meet a scientist who works to identify new medicines. She created free software that ''looks'' at images of cells and determines which images show cells that have responded to the potential medicines. Students will learn about how this technology is currently enabling research to identify new antibiotics to treat tuberculosis. Students will complete hands-on activities that demonstrate how new medicines can be discovered using robots and computer software, starring the student as ''the computer.'' In the process, the students learn about experimental design, including positive and negative controls.
This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of different equations.
This learning video presents an introduction to the Flaws of Averages using three exciting examples: the ''crossing of the river'' example, the ''cookie'' example, and the ''dance class'' example. Averages are often worthwhile representations of a set of data by a single descriptive number. The objective of this module, however, is to simply point out a few pitfalls that could arise if one is not attentive to details when calculating and interpreting averages. The essential prerequisite knowledge for this video lesson is the ability to calculate an average from a set of numbers. During this video lesson, students will learn about three flaws of averages: (1) The average is not always a good description of the actual situation, (2) The function of the average is not always the same as the average of the function, and (3) The average depends on your perspective. To convey these concepts, the students are presented with the three real world examples mentioned above.
This video lesson shows students that math can play a role in understanding how an infectious disease spreads and how it can be controlled. During this lesson, students will see and use both deterministic and probabilistic models and will learn by doing through role-playing exercises. The primary exercises between video segments of this lesson are class-intensive simulation games in which members of the class 'infect' each other under alternative math modeling assumptions about disease progression. Also there is an occasional class discussion and local discussion with nearby classmates.
This learning video addresses a particular problem of selection bias, a statistical bias in which there is an error in choosing the individuals or groups to make broader inferences. Rather than delve into this broad topic via formal statistics, we investigate how it may appear in our everyday lives, sometimes distorting our perceptions of people, places and events, unless we are careful. When people are picked at random from two groups of different sizes, most of those selected usually come from the bigger group. That means we will hear more about the experience of the bigger group than that of the smaller one. This isn't always a bad thing, but it isn't always a good thing either. Because big groups ''speak louder,'' we have to be careful when we write mathematical formulas about what happened in the two groups. We think about this issue in this video, with examples that involve theaters, buses, and lemons. The prerequisite for this video lesson is a familiarity with algebra. It will take about one hour to complete, and the only materials needed are a blackboard and chalk.
This Protein Purification video lesson is intended to give students some insight into the process and tools that scientists and engineers use to explore proteins. It is designed to extend the knowledge of students who are already somewhat sophisticated and who have a good understanding of basic biology. The question that motivates this lesson is, ''what makes two cell types different?'' and this question is posed in several ways. Such scientific reasoning raises the experimental question: how could you study just a subset of specialized proteins that distinguish one cell type from another? Two techniques useful in this regard are considered in the lesson.
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.
يعرض درس الفيديو هذا مشكلة حقيقية واقعية يمكن حلها باستخدام نظرية فيثاغورس. يواجه بائع العصير المشكلة يوميا. لديه برميل متساوي الأضلاع مع ارتفاعات متساوية وهو دائماً يحاول إفراغ عصير برميلين داخل برميل ثالث يحتوي على حجم يساوي مجموع أحجام البراميلين. يريد هذا البائع العثور على طريقة بسيطة لتساعده على اختيار البرميل الصحيح دون إضاعة الوقت، ودون أي حسابات - نظراً لأنه يجهل علم الرياضيات. يشمل الشرط الأساسي لهذا الدرس معرفة ما يلي: نظرية فيثاغورس؛ حساب مساحة المثلثات لمعرفة الزاوية بين جانبيه؛ قاعدة جيب التمام؛ حساب مساحة الدائرة؛ وحساب مساحات و أحجام المواد الصلبة ذات القواعد العادية.
The topic of photosynthesis is a fundamental concept in biology, chemistry, and earth science. Educational studies have found that despite classroom presentations, most students retain their naive idea that a plant's mass is mostly derived from the soil, and not from the air. To call students' attention to this misconception, at the beginning of this lesson we will provide a surprising experimental result so that students will confront their mental mistake. Next, we will help students better envision photosynthesis by modeling where the atoms come from in this important process that produces food for the planet. This lesson can be completed in 50-60 minutes, with the students working on in-class activities during 20-25 minutes of the lesson. As a prerequisite, students need an introductory lesson on photosynthesis, something that includes the overall chemical equation. If students have already studied the intracellular photosynthetic process in detail, this video can still be very helpful because students often miss the big picture about photosynthesis. Materials needed include red, white and black LEGO bricks (described in downloadable hand-out) or strips of red, white and black paper plus paper clips (directions provided in downloadable hand-out). In addition to class discussions, the major in-class activity of this video involves the students' modeling with LEGO bricks or colored paper where the atoms come from in photosynthesis.
The main objective of this video lesson is to bring the students' attention to the importance of basic and natural sciences in our lives. The lesson will introduce a topic (sustainable energy) that is related mainly to chemistry and is not usually covered directly in a high school curriculum. We hope that this lesson will show students how important and useful the natural and basic sciences are not only for our daily lives, but also for sustainable development. The lesson will present creative and challenging ideas on the topic of alternative energies. It is hoped that students will be inspired by the introduction of these ideas, and that they will develop the confidence to come up with creative ideas themselves. Background for this lesson is based on fundamental concepts in chemistry (mainly), biology, physics and environmental science.
هذا الفيديوالتعليمي يعرض مقدمة لنظرية الرسم البياني عن طريق مشكلتين في صورة ألعاب ألغاز للمتعة،: '' جسور كونيجسبيرج السبعة '' و '' مشكلة ساعي البريد الصيني ''. ينبغي على أي طالب ثانوي ملتحق بفصل الرياضيات التمهيدية للمرحلة الجامعية أن يكون قادرا على المشاركة في هذا الدرس. تشمل المواد اللازمة: قلم وورقة للطلاب؛ إذا كان ذلك ممكناً، نسخا مطبوعة من الرسوم البيانية والصور التي يتم استخدامها في الوحدة النمطية؛ والسبورة أو ما يعادلها. خلال درس الفيديو هذا، سيتعلم الطلاب نظرية الرسم البياني عن طريق إيجاد مسار خلال مدينة/بلده/قرية دون عبور المسار نفسه مرتين. سيتعلمون أيضا تحديد طول الطريق الأقصر الذي يغطي جميع الطرق في المدينة/البلده/القرية. لتحقيق هذين الهدفين التعليميين، سيستخدمون العقد والأقواس لإنشاء رسم بياني وتمثيل مشكلة حقيقية.
This video is meant to be a fun, hands-on session that gets students to think hard about how machines work. It teaches them the connection between the geometry that they study and the kinematics that engineers use -- explaining that kinematics is simply geometry in motion. In this lesson, geometry will be used in a way that students are not used to. Materials necessary for the hands-on activities include two options: pegboard, nails/screws and a small saw; or colored construction paper, thumbtacks and scissors. Some in-class activities for the breaks between the video segments include: exploring the role of geometry in a slider-crank mechanism; determining at which point to locate a joint or bearing in a mechanism; recognizing useful mechanisms in the students' communities that employ the same guided motion they have been studying.