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Algebraic Equations, Inequalities, and Properties
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This lesson is about trying to get students to make connections between ideas about equations, inequalities, and expressions. The lesson is designed to give students opportunities to use mathematical vocabulary for a purpose to describe, discuss, and work with these symbol strings.The idea is for students to start gathering global information by looking at the whole number string rather than thinking only about individual procedures or steps. Hopefully students will begin to see the symbol strings as mathematical objects with their own unique set of attributes. (7th Grade Math)

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
Ancient Civilizations of the World
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In this course, the student will study the emergence of the major civilizations of the ancient world, beginning with the Paleolithic Era (about 2.5 million years ago) and finishing with the end of the Middle Ages in fifteenth century A.D. The student will pay special attention to how societies evolved across this expanse of time - from fragmented and primitive agricultural communities to more advanced and consolidated civilizations. By the end of the course, the student will possess a thorough understanding of important overarching social, political, religious, and economic themes in the ancient world, ranging from the emergence of Confucian philosophy in Asia to the fall of imperial Rome. Upon successful completion of this course, the student will be able to: Identify and define the world's earliest civilizations, including the Neolithic Revolution, and describe how it shaped the development of these early civilizations; Identify, describe, and compare/contrast the first advanced civilizations in the world - Mesopotamia and Egypt; Identify and describe the emergence of the earliest civilizations in Asia: the Harappan and Aryan societies on the Indian subcontinent and the Shang and Zhou societies in China; Identify and describe the emergence of new philosophies - Daoism and Confucianism - during the Warring States period in China. Identify and describe the subsequent rise of the Qin and Han dynasties; Identify and describe the different periods that characterized ancient Greece - Archaic Greece (or the Greek Dark Ages), classical Greece, and the Hellenistic era; Identify and describe the characteristics of the Roman Kingdom, the Roman Republic, and Imperial Rome; Analyze the emergence of the Mauryan and Gupta empires during the 'classical age' in India; Identify and analyze the Buddhist and Vedic (Hindu) faiths; Identify and describe the rise of civilizations in the Americas, particularly in Meso and South America; Analyze and describe the rise of Islam in the Middle East; Identify and describe the emergence of the Arab caliphate, the Umayyad dynasty, and Abbasid dynasty; Identify and describe the rise and fall of the Byzantine Empire; Identify and analyze key facets of medieval society in Western EuropeĺÎĺĚ_ĺÜthe Catholic Church, feudalism, and the rise of technology and commerce; Analyze and interpret primary-source documents that elucidate the exchanges and advancements made in civilizations across time and space. (History 101)

Material Type:
Assessment
Full Course
Lecture
Reading
Syllabus
Provider:
The Saylor Foundation
Date Added:
11/21/2011
Are Random Triangles Acute or Obtuse?
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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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Gilbert Strange
Date Added:
06/02/2012
Area and Perimeter
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This lesson is based on the results of a performance task in which we realized that students' understanding of area and perimeter was mostly procedural. Therefore the purpose of this re-engagement lesson was to address student misconceptions and deepen student understanding of area and perimeter. The standards addressed in this lesson involve finding perimeter and area of various shapes, finding the perimeter when given a fixed area, and using a formula in a practical context. Challenges for our students included decoding the language in the problem and proving their thinking. (7th Grade Math)

Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Villarin, Antoinette
Date Added:
11/30/2011
The Art of Approximation in Science and Engineering: How to Whip Out Answers Quickly
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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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Stephen M. Hou
Date Added:
06/02/2015
The Art of Approximation in Science and Engineering: How to Whip Out Answers Quickly
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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.

Material Type:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
Author:
Stephen M. Hou
Date Added:
06/02/2012
Art of the Islamic World
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This course serves as an introduction to the pre-modern Islamic artistic traditions of the Mediterranean, Near East, and Central and South Asia. It surveys core Islamic beliefs, the basic characteristics of Islamic art and architecture, and art and architecture created under each dynasty and ruling party. Upon successful completion of this course, the student will be able to: identify the core beliefs of Islam, the major characteristics of Islamic art, and the major forms of Islamic architecture; identify major pre-modern Islamic works of art and monuments from the Middle East, Northern Africa, Spain, and South Asia; explain how the core beliefs of Islam contributed to the basic characteristics of Islamic art and architecture and the secular art works and architecture of the Islamic world; identify the succeeding dynasties that ruled the Islamic world; explain the important role that the patronage of art and architecture had played in definitions of kingship. (Art History 303)

Material Type:
Assessment
Full Course
Homework/Assignment
Lecture
Lecture Notes
Reading
Syllabus
Provider:
The Saylor Foundation
Date Added:
11/10/2011
Aswaat Arabiyya
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Aswaat Arabiyya is an archive of 245 videos in Arabic, listed by difficulty level and accompanied by glossaries and four worksheets each that focus on every aspect of listening comprehension. Selections come largely from Arabic media, with some cultural presentations by native speakers. Videos cover the entire Arabic-speaking world and include MSA and different dialects. Materials are designed to be used both as in-class activities and homework assignments. Videos can be slowed down.

Material Type:
Activity/Lab
Homework/Assignment
Interactive
Lecture
Provider:
University of Texas at Austin
Date Added:
01/10/2013
BBC Arabic
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This is BBC's Arabic page, containing a wealth of written material as well as live video and radio feeds all in Arabic. There is also a multimedia section with a video archive and a link to BBC Arabic's YouTube channel, which contains over 6,000 videos, including playlists with complete episodes.

Material Type:
Lecture
Reading
Provider:
BBC
Date Added:
08/27/2013
The Broken Stick Experiment: Triangles, Random Numbers and Probability
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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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Richard C. Larson
Date Added:
10/31/2014
Can Earthquakes Be Predicted?
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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

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Zach Adam
Date Added:
06/11/2012
Catalytic Converter
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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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Prof. Mohammad El-Khateeb
Date Added:
06/11/2012
Classifying Animals by Appearance Versus DNA Sequence
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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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Megan E. Rokop
Date Added:
06/11/2012
Comparing Linear Functions
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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)

Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Dimas, Cecilio
Date Added:
11/30/2011
Discovering Medicines, Using Robots and Computers
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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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Anne Carpenter
Date Added:
05/07/2015
Fabulous Fractals and Difference Equations
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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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Laura Zager
Date Added:
07/12/2014
Fabulous Fractals and Difference Equations
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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.

Material Type:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
Author:
Laura Zager
Date Added:
06/02/2012
The Flaws of Averages
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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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Daniel Livengood
MIT BLOSSOMS
Rhonda Jordan
Date Added:
06/02/2012
Flu Math Games
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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.

Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Mai Perches
Richard C. Larson
Sahar Hashmi
Date Added:
07/12/2014