Related:  Free Math Learning Materials

Math Games - Fun 4 the Brain Teachers | STEM Education Resource Center Welcome to PBS Teachers STEM Education Resource Center! Science, Technology, Engineering and Math (STEM) Resources for Grades PreK-12 PBS offers all Americans the opportunity to explore new ideas and new worlds related to science, technology, engineering, and mathematics (STEM) learning through television and online content. Explore some of our great STEM offerings for grades PreK-12. NOVA Science Now: The Secret Life of Scientists, "Becoming the Professor". Through many of our award-winning STEM-related television programs – NOVA, NATURE, CYBERCHASE, CURIOUS GEORGE, and SID THE SCIENCE KID – PBS continues to play its historic role as both a standard-bearer and innovator in digital content and professional development guided by research and actively supporting classroom teachers, home educators and childcare providers. The PBS Teachers STEM Education Resource Center is here to introduce you to selected STEM education resources. STEM Education News Additional Resources

List of trigonometric identities These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity. Notation Angles 1 full circle = 360 degrees = 2 radians = 400 grads. The following table shows the conversions for some common angles: Unless otherwise specified, all angles in this article are assumed to be in radians, but angles ending in a degree symbol (°) are in degrees. Trigonometric functions The primary trigonometric functions are the sine and cosine of an angle. The Sine of an angle is defined in the context of a Right Triangle, as the ratio of the length of the side that is opposite to the angle, divided by the length of the longest side of the triangle (the Hypotenuse ). Inverse functions and Related identities

Algebra: In Simplest Terms Due to licensing agreements, online viewing of the videos for this resource is restricted to network connections in the United States and Canada. 1. Introduction An introduction to the series, this program presents several mathematical themes and emphasizes why algebra is important in today's world. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. SciVee | Making Science Visible

Neuroscience For Kids The smell of a flower - The memory of a walk in the park - The pain of stepping on a nail. These experiences are made possible by the 3 pounds of tissue in our heads...the BRAIN!! Neuroscience for Kids has been created for all students and teachers who would like to learn about the nervous system. Discover the exciting world of the brain, spinal cord, neurons and the senses. Can't find what you are looking for? Portions of Neuroscience for Kids are available in Spanish, Slovene, Chinese, Portuguese, Italian, Korean, Dutch, Telugu, Japanese, Belarusian, Serbian, Russian and Turkish. "Neuroscience for Kids" is maintained by Eric H.

AIMS Puzzle Corner: Free Math Puzzles This week’s Puzzle Corner activity is a magic trick with a mathematical, as well as a slight-of-hand, component. I first came across this trick in one of Martin Gardner’s many books on recreational mathematics. I liked it so much that I have been stumping students, friends, and family members with it ever since. In order to make this trick work, you will need to practice it by yourself until the moves (illustrated at bottom) become automatic, before trying it out on someone else. You will need at least three cups to perform this trick. Begin this trick by explaining that the goal is to get all three cups facing up after making exactly three moves. Next, invite one of the students who was watching to get all the cups facing up in three moves. What students realize at this point is that when they try the trick, the cups are set up differently than they are when you do the trick. The reason for this is quite simple once you think about it. Performing the trick: 1. 2. 3. 4.

<Advanced Lab Teaching Resources> This page provides a map to our online teaching resources for advanced laboratories at Haverford College Physics. We have three labs that effectively fall in this category. Most unusally, our sophomore-level labs cover much of the material usually taught in Jr. lab. Our majors then take a semester of upper-level junior or senior level advanded lab. The sophomore labs have standard writeups (see below), while our advanced electronics and computer instrumentation lab is taught out of prerelease copies of the new version of Art of Electronics Lab Manual (courtesy of Tom Hayes, Harvard University), and our advanced lab course per se is project based and students do not have writeups to work off of. Suzannne Amador Kane I also maintain a website with more information about medical physics-related labs. Sound Lab (intro level) We also have a related curriculum on science ethics that I will be posting shortly. AAPT listserv on advanced lab materials This course meets weekly for 3 hours per week.

60 Ways RAND Has Made a Difference In 2008, the RAND Corporation celebrated its 60th anniversary. The difference between RAND today and the organization that was created in 1948 is substantial and dramatic. Most notably, we started with one client — the U.S. Air Force. The mix of studies, singular accomplishments, and streams of research and analysis included in this book exemplifies the range and originality of RAND research. RAND's 60 years have been distinguished by an impressive number of prominent, even famous, experts in various fields, including winners of the Nobel Prize in several disciplines. Major breakthroughs usually cannot be seen as such until so much history has passed that lots of other people have long since taken or been given credit. In the early days of RAND, much of our research was not widely available. In assembling this collection, we have enjoyed reflecting on various aspects of our legacy. Michael D.

MasterMath.info: Middle School Math Lessons The Physics Classroom The blood-brain barrier in a live zebrafish embryo | 2012 Photomicrography Competition Dr. Jennifer Peters’ and Dr. Michael Taylor’s winning image of the blood-brain barrier in a live zebrafish embryo perfectly demonstrates the intersection of art and science that drives the Nikon Small World Competition. The blood-brain barrier plays a critical role in neurological function and disease. Drs. To achieve this image, Peters and Taylor used a maximum intensity projection of a series of images acquired in the z plane. Both Peters and Taylor have more than ten years of imaging experience.

YAY MATH! Algebra Geometry Math Videos Online | Homework Help Surprises in steel: The mystery behind Detroit entrepreneur's revolutionary Flash Bainite A Detroit entrepreneur surprised academics when he invented a heat-treatment that makes steel 7 percent stronger than any steel on record – in less than 10 seconds. That steel, now trademarked as Flash Bainite, has tested stronger and more shock-absorbing than the most common titanium alloys used by industry. Now Gary Cola is helping researchers at Ohio State University to better understand the science behind the new treatment, called flash processing. What they've discovered may hold the key to making cars and military vehicles lighter, stronger, and more fuel-efficient. In the current issue of Materials Science and Technology, the inventor and his Ohio State partners describe how rapidly heating and cooling steel sheets changes the microstructure inside the alloy to make it stronger and less brittle. "Steel is what we would call a 'mature technology.' Yet, when inventor Gary Cola initially approached him, Babu didn't know what to think. Cola's entire process took less than 10 seconds.

Related:
The provided text passages do not contain any mathematical questions or answers. They are informational texts about educational resources, trigonometric identities, an algebra video series, and neuroscience for kids.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Related:  Free Math Learning Materials

Math Games - Fun 4 the Brain Teachers | STEM Education Resource Center Welcome to PBS Teachers STEM Education Resource Center! Science, Technology, Engineering and Math (STEM) Resources for Grades PreK-12 PBS offers all Americans the opportunity to explore new ideas and new worlds related to science, technology, engineering, and mathematics (STEM) learning through television and online content. Explore some of our great STEM offerings for grades PreK-12. NOVA Science Now: The Secret Life of Scientists, "Becoming the Professor". Through many of our award-winning STEM-related television programs – NOVA, NATURE, CYBERCHASE, CURIOUS GEORGE, and SID THE SCIENCE KID – PBS continues to play its historic role as both a standard-bearer and innovator in digital content and professional development guided by research and actively supporting classroom teachers, home educators and childcare providers. The PBS Teachers STEM Education Resource Center is here to introduce you to selected STEM education resources. STEM Education News Additional Resources

List of trigonometric identities These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity. Notation Angles 1 full circle = 360 degrees = 2 radians = 400 grads. The following table shows the conversions for some common angles: Unless otherwise specified, all angles in this article are assumed to be in radians, but angles ending in a degree symbol (°) are in degrees. Trigonometric functions The primary trigonometric functions are the sine and cosine of an angle. The Sine of an angle is defined in the context of a Right Triangle, as the ratio of the length of the side that is opposite to the angle, divided by the length of the longest side of the triangle (the Hypotenuse ). Inverse functions and Related identities

Algebra: In Simplest Terms Due to licensing agreements, online viewing of the videos for this resource is restricted to network connections in the United States and Canada. 1. Introduction An introduction to the series, this program presents several mathematical themes and emphasizes why algebra is important in today's world. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. SciVee | Making Science Visible

Neuroscience For Kids The smell of a flower - The memory of a walk in the park - The pain of stepping on a nail. These experiences are made possible by the 3 pounds of tissue in our heads...the BRAIN!! Neuroscience for Kids has been created for all students and teachers who would like to learn about the nervous system. Discover the exciting world of the brain, spinal cord, neurons and the senses. Can't find what you are looking for? Portions of Neuroscience for Kids are available in Spanish, Slovene, Chinese, Portuguese, Italian, Korean, Dutch, Telugu, Japanese, Belarusian, Serbian, Russian and Turkish. "Neuroscience for Kids" is maintained by Eric H.

AIMS Puzzle Corner: Free Math Puzzles This week’s Puzzle Corner activity is a magic trick with a mathematical, as well as a slight-of-hand, component. I first came across this trick in one of Martin Gardner’s many books on recreational mathematics. I liked it so much that I have been stumping students, friends, and family members with it ever since. In order to make this trick work, you will need to practice it by yourself until the moves (illustrated at bottom) become automatic, before trying it out on someone else. You will need at least three cups to perform this trick. Begin this trick by explaining that the goal is to get all three cups facing up after making exactly three moves. Next, invite one of the students who was watching to get all the cups facing up in three moves. What students realize at this point is that when they try the trick, the cups are set up differently than they are when you do the trick. The reason for this is quite simple once you think about it. Performing the trick: 1. 2. 3. 4.

<Advanced Lab Teaching Resources> This page provides a map to our online teaching resources for advanced laboratories at Haverford College Physics. We have three labs that effectively fall in this category. Most unusally, our sophomore-level labs cover much of the material usually taught in Jr. lab. Our majors then take a semester of upper-level junior or senior level advanded lab. The sophomore labs have standard writeups (see below), while our advanced electronics and computer instrumentation lab is taught out of prerelease copies of the new version of Art of Electronics Lab Manual (courtesy of Tom Hayes, Harvard University), and our advanced lab course per se is project based and students do not have writeups to work off of. Suzannne Amador Kane I also maintain a website with more information about medical physics-related labs. Sound Lab (intro level) We also have a related curriculum on science ethics that I will be posting shortly. AAPT listserv on advanced lab materials This course meets weekly for 3 hours per week.

60 Ways RAND Has Made a Difference In 2008, the RAND Corporation celebrated its 60th anniversary. The difference between RAND today and the organization that was created in 1948 is substantial and dramatic. Most notably, we started with one client — the U.S. Air Force. The mix of studies, singular accomplishments, and streams of research and analysis included in this book exemplifies the range and originality of RAND research. RAND's 60 years have been distinguished by an impressive number of prominent, even famous, experts in various fields, including winners of the Nobel Prize in several disciplines. Major breakthroughs usually cannot be seen as such until so much history has passed that lots of other people have long since taken or been given credit. In the early days of RAND, much of our research was not widely available. In assembling this collection, we have enjoyed reflecting on various aspects of our legacy. Michael D.

MasterMath.info: Middle School Math Lessons The Physics Classroom The blood-brain barrier in a live zebrafish embryo | 2012 Photomicrography Competition Dr. Jennifer Peters’ and Dr. Michael Taylor’s winning image of the blood-brain barrier in a live zebrafish embryo perfectly demonstrates the intersection of art and science that drives the Nikon Small World Competition. The blood-brain barrier plays a critical role in neurological function and disease. Drs. To achieve this image, Peters and Taylor used a maximum intensity projection of a series of images acquired in the z plane. Both Peters and Taylor have more than ten years of imaging experience.

YAY MATH! Algebra Geometry Math Videos Online | Homework Help Surprises in steel: The mystery behind Detroit entrepreneur's revolutionary Flash Bainite A Detroit entrepreneur surprised academics when he invented a heat-treatment that makes steel 7 percent stronger than any steel on record – in less than 10 seconds. That steel, now trademarked as Flash Bainite, has tested stronger and more shock-absorbing than the most common titanium alloys used by industry. Now Gary Cola is helping researchers at Ohio State University to better understand the science behind the new treatment, called flash processing. What they've discovered may hold the key to making cars and military vehicles lighter, stronger, and more fuel-efficient. In the current issue of Materials Science and Technology, the inventor and his Ohio State partners describe how rapidly heating and cooling steel sheets changes the microstructure inside the alloy to make it stronger and less brittle. "Steel is what we would call a 'mature technology.' Yet, when inventor Gary Cola initially approached him, Babu didn't know what to think. Cola's entire process took less than 10 seconds.

Related:
user
The provided text passages do not contain any mathematical questions or answers. They are informational texts about educational resources, trigonometric identities, an algebra video series, and neuroscience for kids. 

TYPE: NO_QUESTION