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AAS Congruent Triangles
Read the Fine Print
Rating
3.66666666667 stars

An interactive applet and associated web page that shows how triangles that have two angles and a non-included side the same must be congruent. The applet shows two triangles, one of which can be reshaped by dragging any vertex. The other changes to remain congruent to it and the two angles and non-included side are outlined in bold to show they are the same measure and are the elements being used to prove congruence. The web page describes all this and has links to other related pages. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Subject:
Geometry
Material Type:
Reading
Simulation
Provider:
Math Open Reference
Author:
John Page
Date Added:
02/16/2011
Application of Derivatives
Conditional Remix & Share Permitted
CC BY-SA
Rating
0.0 stars

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.

Subject:
Finance
Geometry
Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Date Added:
03/12/2012
The Broken Stick Experiment: Triangles, Random Numbers and Probability
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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.

Subject:
Measurement and Data
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Richard C. Larson
Date Added:
10/31/2014
Fabulous Fractals and Difference Equations
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0,0 stars

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.

الموضوع:
هندسة الشكل
نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
Laura Zager
Date Added:
07/12/2014
Fabulous Fractals and Difference Equations
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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.

Subject:
Geometry
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
0.0 stars

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.

Subject:
Algebra
Geometry
Statistics and Probability
Material Type:
Activity/Lab
Homework/Assignment
Provider:
National Council of Teachers of Mathematics
Provider Set:
Figure This!
Date Added:
01/01/2002
General Chemistry I
Unrestricted Use
CC BY
Rating
0.0 stars

This survey chemistry course is designed to introduce students to the world of chemistry. In this course, we will study chemistry from the ground up, learning the basics of the atom and its behavior. We will apply this knowledge to understand the chemical properties of matter and the changes and reactions that take place in all types of matter. Upon successful completion of this course, students will be able to: Define the general term 'chemistry.' Distinguish between the physical and chemical properties of matter. Distinguish between mixtures and pure substances. Describe the arrangement of the periodic table. Perform mathematical operations involving significant figures. Convert measurements into scientific notation. Explain the law of conservation of mass, the law of definite composition, and the law of multiple proportions. Summarize the essential points of Dalton's atomic theory. Define the term 'atom.' Describe electron configurations. Draw Lewis structures for molecules. Name ionic and covalent compounds using the rules for nomenclature of inorganic compounds. Explain the relationship between enthalpy change and a reaction's tendency to occur. (Chemistry 101; See also: Biology 105. Mechanical Engineering 004)

Subject:
Chemistry
Material Type:
Assessment
Full Course
Homework/Assignment
Lecture
Lecture Notes
Reading
Syllabus
Textbook
Provider:
The Saylor Foundation
Date Added:
11/16/2011
Guess the Last Ball
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

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.

Material Type:
Lecture
Provider:
MIT Learning International Networks Consortium
Provider Set:
M.I.T. Blossoms
Author:
Fakhar Lohdi
Date Added:
06/02/2012
I Spy Nano!
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

In this game, learners try to find nano-related objects on a game board. Learners investigate the different ways nano is in the world around us.

Subject:
Engineering
Education
Life Science
Mathematics
Chemistry
Physics
Material Type:
Activity/Lab
Diagram/Illustration
Game
Reading
Provider:
Nanoscale Informal Science Education Network
Author:
Nanoscale Informal Science Education Network
National Science Foundation
NISE Network
Date Added:
01/02/2011
Inquiry: Using an Egg Drop Activity to Promote Critical Thinking and Analysis Skills
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this hands-on inquiry activity, students will design and construct an apparatus that will permit an egg to survive a nine foot fall. Students are given limited materials, so they must critically think about the design and improvise strategies during the building of the apparatus

Subject:
Physics
Material Type:
Activity/Lab
Assessment
Lesson Plan
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Author:
Seth Webster
Date Added:
12/09/2011
Interpreting Statistics: A Case of Muddying the Waters
Only Sharing Permitted
CC BY-NC-ND
Rating
0.0 stars

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.

Subject:
Statistics and Probability
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Is Bigger Better? A Look at a Selection Bias that Is All Around Us
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
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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.

Subject:
Education
Mathematics
Sociology
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Anna Teytelman
Arnold Barnett
MIT BLOSSOMS
Date Added:
06/02/2012
The Pollen Project
Conditional Remix & Share Permitted
CC BY-NC
Rating
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The goals of the International OER Exchange Pilot project are to: facilitate the development and use of Open Educational Resources (OER) by teachers and students globally, track the development and use of the science learning materials and data collection, especially around climate change study, created in the project through OER Commons, and highlight the process and results through workshops and conference presentations.The broader purpose of the project is to support the international exchange of information and understanding through freely available resources among teachers and students, especially in the area of environmental science and climate change investigation.

Subject:
Environmental Science
Botany
Material Type:
Activity/Lab
Homework/Assignment
Lesson Plan
Simulation
Teaching/Learning Strategy
Provider:
ISKME
Provider Set:
ISKME
Date Added:
08/14/2012
Roots, Shoots, and Wood
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0,0 stars

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.

الموضوع:
علم النبات
نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
Kathleen M. Vandiver
Date Added:
09/09/2015
Rothgeb Modified Flipped Classroom 2013
Only Sharing Permitted
CC BY-NC-ND
Rating
0.0 stars

This is a summary and example of my experiences and successes "flipping" my Algebra I classroom in the 2012-13 school year. An example of the materials a student would encounter in a given 24 hour period are included.

Subject:
Mathematics
Material Type:
Case Study
Teaching/Learning Strategy
Author:
Jason Rothgeb
Date Added:
01/28/2016
Scaling Cubes
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

In this activity, learners explore scale by using building cubes to see how changing the length, width, and height of a three-dimensional object affects its surface area and its volume. Learners build bigger and bigger cubes to understand these scaling relationships.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Exploratorium
Author:
Exploratorium
Gordon and Betty Moore Foundation
National Science Foundation
The Exploratorium
Date Added:
12/07/2010
Sustainable Energy: Can Water be the Future Fuel?
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0,0 stars

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.

الموضوع:
Environmental Science
الكيمياء
نوع المادة:
Lecture
Provider:
MIT
Provider Set:
أزهار معهد ماساتشوستس للتكنولوجيا MIT
المؤلف:
Ahmad Al-Ajlouni
Date Added:
05/07/2015
Taking Walks, Delivering Mail: An Introduction to Graph Theory
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This learning video presents an introduction to graph theory through two fun, puzzle-like problems: ''The Seven Bridges of Konigsberg'' and ''The Chinese Postman Problem''. Any high school student in a college-preparatory math class should be able to participate in this lesson. Materials needed include: pen and paper for the students; if possible, printed-out copies of the graphs and image that are used in the module; and a blackboard or equivalent. During this video lesson, students will learn graph theory by finding a route through a city/town/village without crossing the same path twice. They will also learn to determine the length of the shortest route that covers all the roads in a city/town/village. To achieve these two learning objectives, they will use nodes and arcs to create a graph and represent a real problem.

Subject:
Education
Mathematics
Measurement and Data
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
BLOSSOMS
Karima R. Nigmatulina
Date Added:
06/02/2012