Universal Mathematics = Infinity
Check out the awesomeness...
mathematical_connections_retrieved_from_www.math.ucla.edu.pdf | |
File Size: | 938 kb |
File Type: |
Statistics
GapMinder ~ Visualizing human development trends (such as poverty, health, gaps, income on a global scale) via stunning, interactive statistical graphs. www.gapminder.org/data
How Reliable is the World Population Forecast?Short answer — Very reliable
How Does Income Relate to Life Expectancy?Short answer — Rich people live longer
How Did The World Population Change?First slowly. Then fast.
TED India - Asia's rise - how and when
TED and Reddit’s 10 questions The Internet community Reddit.com got to ask questions to Hans Rosling. Here is his answers.
Asia’s rise, how and when (TEDIndia) Hans Rosling predicts the exact date India and China will have the same income per person as the US.
200 years that changed the world 200 years of history in 4.5 minutes. Let Hans Rosling guide you through the developments of the last two centuries.
Hans Rosling and the magic washing machine What was the greatest invention of the industrial revolution? Hans Rosling makes the case for the washing machine.
Carbon dioxide (Energy) CO2 emissions in USA and China compared. How to produce electricity cheaper than from coal.
Public services To have a fair chance in life, everyone needs public services. Good information is needed in order to provide good public service.
Welcome to Dollar Street – where country stereotypes fall apart...
Imagine the world as a street. All houses are lined up by income, the poor living to the left and the rich to the right. Everybody else somewhere in between. Where would you live? Would your life look different than your neighbours’ from other parts of the world, who share the same income level? Welcome! Dollar Street
How not to be ignorant about the World ~ Ola Rosling & Hans Rosling show simple rules of thumb for dismantling global misconceptions and beating chimpanzees. Watch TED talk
Play with our income mountains, bubble charts and maps. Still alpha version, but works pretty well already. Open source and touch screen support.
Play with the data
DON’T PANIC END POVERTY —Has the UN gone mad?
The greatest story in human history. FREE DOCUMENTARY
Dollar Street Preview
Imagine everyone living on one long street sorted by income. Gapminder Head of Creativity, Anna R. Rönnlund shows her new project which will let you see what life really looks like behind the income statistics. Watch TEDx
The Facts About Population ~ Panicking is rarely a good idea. In this one-hour documentary, Hans Rosling shows why the world might not be as bad as you might believe! FREE DOCUMENTARY
Refresh your world ~ Pour the sparkling fresh numbers into your eyes and upgrade your worldview.
EXAMPLES: Wealth & Health of Nations CO2 emissions since 1820
Data in Gapminder World List of indicators About countries & territories
------------------------------------------------------------------------------------
A small sample of questions that the students in a Trendalyzer program will explore include:
1. Does the increase of economy effect the growth in population between Spain and Vietnam?
2. What happened in Kuwait in 1938 that caused such a jump in GDP?
3. How does the literate females to males ratio affect the economic growth in China?
4. How did oil production affect the GDP and life expectancy in the United Arab Emarates?
5. How did WW2 affect the economies of Germany, Russia, and Japan?
Be sure to take a look at the video located on the education page. It is an excellent example of students expanding convergent thinking as they explore in a divergent style. If this all isn’t enough, I am sure that you will be able to find and inspire students with some outstanding videos… including some from TED. Another must visit includes the Gapminder Labs. Here you can develop lessons with an emphasis on US History, China, and world agriculture.
Real-World Learning Activities
Please complete the following . Be sure to read and follow the directions provided within each activity. Notations in this color indicate that you must record responses on your own paper. You may use resources from our course webpage and binder.
+ Correlation: Arrange the given statements in groups to show the type of correlation they have.
+ Cartoon Scatter Graph: Place the cartoon characters on the scatter graph according to their height and age.
+ Sugar Prices ~ http://map.mathshell.org/download.php?fileid=766
Please answer questions 1-5 on your own paper.
+ Birds Eggs ~ http://map.mathshell.org/download.php?fileid=1066
Please answer questions 2-5 on your own paper.
Scatter Plots - MathBitsNotebook(A1 - CCSS Math)
Review the process of creating and analyzing a scatter plot. Record the provided descriptions for interpolating and extrapolating.
Plotting Scatter Graphs : Use the online graph interactive to plot the data points for each of the 5 topics. Write #s 1-5 on your own paper accordingly. For each, identify and write DiXi and RoYd. State if a correlation exists and, if so, what type.
Correlation Exam-Style Questions: Follow the directions as specified and record all responses on your own paper. #4. b-e, h, i & #5. a-e, g-h. Note – for these exercises, consider a regression line to be a line of best fit (trend line).
Real-World Data & Statistics Interactive Investigations
Math in Restaurants: Introduction (video)
Sue Torres, chef and owner of a Mexican restaurant, describes how she got involved in the cooking world, gives an introduction to the mathematics used in menu costs, and poses a math challenge related to menu pricing.
Math in Restaurants: Take the challenge (web interactive) ~ In this interactive activity, users try to solve the challenge posed by Sue Torres in the introductory video segment, by examining avocado prices from the past three years to suggest a menu price for guacamole.
Math in Restaurants: See how the teams solved the challenge (video) ~ The teams solve the restaurant challenge in two distinct ways by using algebra to examine costs of avocados and suggest a menu price .
Math in Restaurants: Try other menu pricing challenges (web interactive) ~ This interactive provides users additional opportunities to set future menu prices for three dishes in Sue Torres’ restaurant, based on trends in costs over recent years.
Math in Restaurants: Introduction (video) ~ Sue Torres, chef and owner of a Mexican restaurant, describes how she got involved in the cooking world, gives an introduction to the mathematics used in menu costs, and poses a math challenge related to menu pricing.
Math in Restaurants: Take the challenge (web interactive) ~ In this interactive activity, users try to solve the challenge posed by Sue Torres in the introductory video segment, by examining avocado prices from the past three years to suggest a menu price for guacamole.
Math in Restaurants: See how the teams solved the challenge (video) ~ The teams solve the restaurant challenge in two distinct ways by using algebra to examine costs of avocados and suggest a menu price .
Math in Restaurants: Try other menu pricing challenges (web interactive) ~ This interactive provides users additional opportunities to set future menu prices for three dishes in Sue Torres’ restaurant, based on trends in costs over recent years.
--------------------------
Scatter Plot Examples and Customized Option
http://seeit.ucdavis.edu/SeeIt3/correlations-stew.html
Movies
Sports
Agriculture
Custom ~ Create a graph by entering your own data.
Shodor: Scatter Plots
-------------------------
GapMinder ~ Visualizing human development trends (such as poverty, health, gaps, income on a global scale) via stunning, interactive statistical graphs. www.gapminder.org/data
WorldOdometers ~ World statistics updated in real time. Useful for general educational purposes - for some stunning facts. www.worldometers.info
UN Data ~ The United Nations offers the ability to search across its statistical databases, including education, human development, population, trade and gender. data.un.org
-------------------------------
Data @ Linear Scatterplots
DataSet#001 Puget Sound Butter Clams Length v. Width (Ecology)
DataSet#011 Columbia River Velocity v. Depth (Water Resources)
DataSet#016 Mauna Loa CO2 (1974-1985) (Air Pollution)
DataSet#014 Electric Power Plant CO2 Output v. Energy Input (Energy)
DataSet#018 Alternative Fueled Vehicles in Use v. Time (Energy)
DataSet#022 Lead v. Zinc Concentrations in Spokane R. Fish (Water Pollution)
DataSet#027 Nitrates in Mississippi R. Tributaries (Water Pollution)
DataSet#028 Sacramento Valley Runoff v. Rainfall(Water Resources)
DataSet#030 Swedish Agriculture Nitrogen Input v. Time (Agriculture)
DataSet#038 Oregon Waste v. Population (Solid Waste)
DataSet#044 Terminus Retreat of the Rainbow Glacier (Water Resources)
DataSet#047 Lake Washington Bacteria Counts (Water Pollution)
DataSet#048 New York Temperature v. Time (Air Pollution)
DataSet#058 Florida Broiler Farm Pollution (Water Pollution)
DataSet#073 Distance v. Age for Hawai'i-Emperor Chain (Planet Earth)
DataSet#077 Urbanization Effects on Streams (Ecology)
Real-World Data & Statistics Resources
Education
Data
ED Data Inventory
Fed Stats
The U.S. average score on PISA 2012 Problem Solving was 508, which was higher than the OECD-PS average of 500.SOURCE: Key findings from PISA 2012 Problem Solving: United States
Water
Use by Category, 2005
Aquaculture
Domestic
Industrial
Irrigation
Livestock
Mining
Public supply
Thermoelectric power
Historical Trends
Trends in water use over time
Data table: 1950-2005 (PDF)
Trend charts (PDF)Files are in Adobe PDF format.
Totals, by source and State: Table • Map
Totals, by category: Table
Surface water: Table • Map
Groundwater: Table • Map
Freshwater: Map
Saline water: Map
Public supply: Table • Map
Domestic: Table • Map
Domestic, self-supplied populations: Map
Irrigation: Table • Map
Livestock: Table • Map
Aquaculture: Table • Map
Thermoelectric power: Table • Map
Thermoelectric power, cooling type: Table
Industrial: Table • Map
Mining: Table • Map
Hydroelectric Power
Hydroelectric power water use
How hydroelectric power is generated
Advantages of hydroelectric power
World's largest hydroelectric plant
USGS Water Use Data and Resources
National Water Use Program home page
Estimated Use of Water in the United States in 2005 (publication)
National county-level data for 2005
Demographic / Govermental Information
Area Vibes - search for a city and make comparisons.
City Data - information about the top 100 US cities
Factfinder from US Census Bureau
Geostat: Historical Census Browser ~ Census date from the 1800s and 1900s. http://mapserver.lib.virginia.edu/
National Geophysical Data Center from NOAA ~ Data on a wide range of science topics. http://www.ngdc.noaa.gov/ngdcinfo/onlineaccess.html
Real-Time Data Sites from CIESE ~ Links to data in many areas. http://www.ciese.org/realtimeproj.html
Government Resources CDC Public Health FastStats FedStats FedStats Kids - links to kid's pages USA.gov - search government agencies such as ATV Safety
Surface Distance Between Two Points of Latitude and Longitude ~ Enter two coordinates and receive the flight distance. Or find distance between 326 different cities worldwide.
http://www.chemical-ecology.net/java/lat-long.htm
Statistics at the State and Local Levels ~ Links to state and local statistics. http://firstgov.gov/Government/State_Local/Statistics.shtml
Data Sets
Polls and Surveys Gallup Polls
EarthQuakes
Earthquake Facts and Statistics
Latest Earthquakes from USGS
Energy
Energy Statistics
Gasoline Prices
Nonrenewable Sources - oil (petroleum), natural gas, coal, nuclear (uranium)
Renewable Sources - biomass, geothermal, hydopower, solar, wind
Energy Calculators
Health
Adolescent Health
Flu
How Healthy Are We?
Hurricane Center
NOAA Hurricane Data
Volcano Information
NOAA Volcano Data
Water
Water Use
Water Questionnaires - compare your results to other states
Weather Information
AirNow Air Quality
Learn about the Air Quality Index. Use the National Air Quality Summary to make comparisons between different locations.
Billion Dollar U.S. Weather Disasters. What weather disasters are the most expensive? Why?
Precipitation data ~ This dataset has includes 45 years of daily precipitation data from the Northwest of the US:Download Dataset
Gobal Measued Extremes of Temperature and Precipitation
State of the Climate from NOAA
Storm Events from NOAA
Tornado from NOAA
U.S. Climate Extremes from NOAA
Wildfires from NOAA
Transportation
Airline Fares Chart
Causes of Flight Delays
Linear Scatterplots
GapMinder ~ Visualizing human development trends (such as poverty, health, gaps, income on a global scale) via stunning, interactive statistical graphs. www.gapminder.org/data
How Reliable is the World Population Forecast?Short answer — Very reliable
How Does Income Relate to Life Expectancy?Short answer — Rich people live longer
How Did The World Population Change?First slowly. Then fast.
TED India - Asia's rise - how and when
TED and Reddit’s 10 questions The Internet community Reddit.com got to ask questions to Hans Rosling. Here is his answers.
Asia’s rise, how and when (TEDIndia) Hans Rosling predicts the exact date India and China will have the same income per person as the US.
200 years that changed the world 200 years of history in 4.5 minutes. Let Hans Rosling guide you through the developments of the last two centuries.
Hans Rosling and the magic washing machine What was the greatest invention of the industrial revolution? Hans Rosling makes the case for the washing machine.
Carbon dioxide (Energy) CO2 emissions in USA and China compared. How to produce electricity cheaper than from coal.
Public services To have a fair chance in life, everyone needs public services. Good information is needed in order to provide good public service.
Welcome to Dollar Street – where country stereotypes fall apart...
Imagine the world as a street. All houses are lined up by income, the poor living to the left and the rich to the right. Everybody else somewhere in between. Where would you live? Would your life look different than your neighbours’ from other parts of the world, who share the same income level? Welcome! Dollar Street
How not to be ignorant about the World ~ Ola Rosling & Hans Rosling show simple rules of thumb for dismantling global misconceptions and beating chimpanzees. Watch TED talk
Play with our income mountains, bubble charts and maps. Still alpha version, but works pretty well already. Open source and touch screen support.
Play with the data
DON’T PANIC END POVERTY —Has the UN gone mad?
The greatest story in human history. FREE DOCUMENTARY
Dollar Street Preview
Imagine everyone living on one long street sorted by income. Gapminder Head of Creativity, Anna R. Rönnlund shows her new project which will let you see what life really looks like behind the income statistics. Watch TEDx
The Facts About Population ~ Panicking is rarely a good idea. In this one-hour documentary, Hans Rosling shows why the world might not be as bad as you might believe! FREE DOCUMENTARY
Refresh your world ~ Pour the sparkling fresh numbers into your eyes and upgrade your worldview.
EXAMPLES: Wealth & Health of Nations CO2 emissions since 1820
Data in Gapminder World List of indicators About countries & territories
------------------------------------------------------------------------------------
A small sample of questions that the students in a Trendalyzer program will explore include:
1. Does the increase of economy effect the growth in population between Spain and Vietnam?
2. What happened in Kuwait in 1938 that caused such a jump in GDP?
3. How does the literate females to males ratio affect the economic growth in China?
4. How did oil production affect the GDP and life expectancy in the United Arab Emarates?
5. How did WW2 affect the economies of Germany, Russia, and Japan?
Be sure to take a look at the video located on the education page. It is an excellent example of students expanding convergent thinking as they explore in a divergent style. If this all isn’t enough, I am sure that you will be able to find and inspire students with some outstanding videos… including some from TED. Another must visit includes the Gapminder Labs. Here you can develop lessons with an emphasis on US History, China, and world agriculture.
Real-World Learning Activities
Please complete the following . Be sure to read and follow the directions provided within each activity. Notations in this color indicate that you must record responses on your own paper. You may use resources from our course webpage and binder.
+ Correlation: Arrange the given statements in groups to show the type of correlation they have.
+ Cartoon Scatter Graph: Place the cartoon characters on the scatter graph according to their height and age.
+ Sugar Prices ~ http://map.mathshell.org/download.php?fileid=766
Please answer questions 1-5 on your own paper.
+ Birds Eggs ~ http://map.mathshell.org/download.php?fileid=1066
Please answer questions 2-5 on your own paper.
Scatter Plots - MathBitsNotebook(A1 - CCSS Math)
Review the process of creating and analyzing a scatter plot. Record the provided descriptions for interpolating and extrapolating.
Plotting Scatter Graphs : Use the online graph interactive to plot the data points for each of the 5 topics. Write #s 1-5 on your own paper accordingly. For each, identify and write DiXi and RoYd. State if a correlation exists and, if so, what type.
Correlation Exam-Style Questions: Follow the directions as specified and record all responses on your own paper. #4. b-e, h, i & #5. a-e, g-h. Note – for these exercises, consider a regression line to be a line of best fit (trend line).
Real-World Data & Statistics Interactive Investigations
Math in Restaurants: Introduction (video)
Sue Torres, chef and owner of a Mexican restaurant, describes how she got involved in the cooking world, gives an introduction to the mathematics used in menu costs, and poses a math challenge related to menu pricing.
Math in Restaurants: Take the challenge (web interactive) ~ In this interactive activity, users try to solve the challenge posed by Sue Torres in the introductory video segment, by examining avocado prices from the past three years to suggest a menu price for guacamole.
Math in Restaurants: See how the teams solved the challenge (video) ~ The teams solve the restaurant challenge in two distinct ways by using algebra to examine costs of avocados and suggest a menu price .
Math in Restaurants: Try other menu pricing challenges (web interactive) ~ This interactive provides users additional opportunities to set future menu prices for three dishes in Sue Torres’ restaurant, based on trends in costs over recent years.
Math in Restaurants: Introduction (video) ~ Sue Torres, chef and owner of a Mexican restaurant, describes how she got involved in the cooking world, gives an introduction to the mathematics used in menu costs, and poses a math challenge related to menu pricing.
Math in Restaurants: Take the challenge (web interactive) ~ In this interactive activity, users try to solve the challenge posed by Sue Torres in the introductory video segment, by examining avocado prices from the past three years to suggest a menu price for guacamole.
Math in Restaurants: See how the teams solved the challenge (video) ~ The teams solve the restaurant challenge in two distinct ways by using algebra to examine costs of avocados and suggest a menu price .
Math in Restaurants: Try other menu pricing challenges (web interactive) ~ This interactive provides users additional opportunities to set future menu prices for three dishes in Sue Torres’ restaurant, based on trends in costs over recent years.
--------------------------
Scatter Plot Examples and Customized Option
http://seeit.ucdavis.edu/SeeIt3/correlations-stew.html
Movies
Sports
Agriculture
Custom ~ Create a graph by entering your own data.
Shodor: Scatter Plots
-------------------------
GapMinder ~ Visualizing human development trends (such as poverty, health, gaps, income on a global scale) via stunning, interactive statistical graphs. www.gapminder.org/data
WorldOdometers ~ World statistics updated in real time. Useful for general educational purposes - for some stunning facts. www.worldometers.info
UN Data ~ The United Nations offers the ability to search across its statistical databases, including education, human development, population, trade and gender. data.un.org
-------------------------------
Data @ Linear Scatterplots
DataSet#001 Puget Sound Butter Clams Length v. Width (Ecology)
DataSet#011 Columbia River Velocity v. Depth (Water Resources)
DataSet#016 Mauna Loa CO2 (1974-1985) (Air Pollution)
DataSet#014 Electric Power Plant CO2 Output v. Energy Input (Energy)
DataSet#018 Alternative Fueled Vehicles in Use v. Time (Energy)
DataSet#022 Lead v. Zinc Concentrations in Spokane R. Fish (Water Pollution)
DataSet#027 Nitrates in Mississippi R. Tributaries (Water Pollution)
DataSet#028 Sacramento Valley Runoff v. Rainfall(Water Resources)
DataSet#030 Swedish Agriculture Nitrogen Input v. Time (Agriculture)
DataSet#038 Oregon Waste v. Population (Solid Waste)
DataSet#044 Terminus Retreat of the Rainbow Glacier (Water Resources)
DataSet#047 Lake Washington Bacteria Counts (Water Pollution)
DataSet#048 New York Temperature v. Time (Air Pollution)
DataSet#058 Florida Broiler Farm Pollution (Water Pollution)
DataSet#073 Distance v. Age for Hawai'i-Emperor Chain (Planet Earth)
DataSet#077 Urbanization Effects on Streams (Ecology)
Real-World Data & Statistics Resources
Education
Data
ED Data Inventory
Fed Stats
The U.S. average score on PISA 2012 Problem Solving was 508, which was higher than the OECD-PS average of 500.SOURCE: Key findings from PISA 2012 Problem Solving: United States
Water
Use by Category, 2005
Aquaculture
Domestic
Industrial
Irrigation
Livestock
Mining
Public supply
Thermoelectric power
Historical Trends
Trends in water use over time
Data table: 1950-2005 (PDF)
Trend charts (PDF)Files are in Adobe PDF format.
Totals, by source and State: Table • Map
Totals, by category: Table
Surface water: Table • Map
Groundwater: Table • Map
Freshwater: Map
Saline water: Map
Public supply: Table • Map
Domestic: Table • Map
Domestic, self-supplied populations: Map
Irrigation: Table • Map
Livestock: Table • Map
Aquaculture: Table • Map
Thermoelectric power: Table • Map
Thermoelectric power, cooling type: Table
Industrial: Table • Map
Mining: Table • Map
Hydroelectric Power
Hydroelectric power water use
How hydroelectric power is generated
Advantages of hydroelectric power
World's largest hydroelectric plant
USGS Water Use Data and Resources
National Water Use Program home page
Estimated Use of Water in the United States in 2005 (publication)
National county-level data for 2005
Demographic / Govermental Information
Area Vibes - search for a city and make comparisons.
City Data - information about the top 100 US cities
Factfinder from US Census Bureau
Geostat: Historical Census Browser ~ Census date from the 1800s and 1900s. http://mapserver.lib.virginia.edu/
National Geophysical Data Center from NOAA ~ Data on a wide range of science topics. http://www.ngdc.noaa.gov/ngdcinfo/onlineaccess.html
Real-Time Data Sites from CIESE ~ Links to data in many areas. http://www.ciese.org/realtimeproj.html
Government Resources CDC Public Health FastStats FedStats FedStats Kids - links to kid's pages USA.gov - search government agencies such as ATV Safety
Surface Distance Between Two Points of Latitude and Longitude ~ Enter two coordinates and receive the flight distance. Or find distance between 326 different cities worldwide.
http://www.chemical-ecology.net/java/lat-long.htm
Statistics at the State and Local Levels ~ Links to state and local statistics. http://firstgov.gov/Government/State_Local/Statistics.shtml
Data Sets
Polls and Surveys Gallup Polls
EarthQuakes
Earthquake Facts and Statistics
Latest Earthquakes from USGS
Energy
Energy Statistics
Gasoline Prices
Nonrenewable Sources - oil (petroleum), natural gas, coal, nuclear (uranium)
Renewable Sources - biomass, geothermal, hydopower, solar, wind
Energy Calculators
Health
Adolescent Health
Flu
How Healthy Are We?
Hurricane Center
NOAA Hurricane Data
Volcano Information
NOAA Volcano Data
Water
Water Use
Water Questionnaires - compare your results to other states
Weather Information
AirNow Air Quality
Learn about the Air Quality Index. Use the National Air Quality Summary to make comparisons between different locations.
Billion Dollar U.S. Weather Disasters. What weather disasters are the most expensive? Why?
Precipitation data ~ This dataset has includes 45 years of daily precipitation data from the Northwest of the US:Download Dataset
Gobal Measued Extremes of Temperature and Precipitation
State of the Climate from NOAA
Storm Events from NOAA
Tornado from NOAA
U.S. Climate Extremes from NOAA
Wildfires from NOAA
Transportation
Airline Fares Chart
Causes of Flight Delays
Linear Scatterplots
- Interactive Infographic This infographic highlights key population trends in our 2013 World Population Data Sheet, and the numbers behind them.You'll understand what world population looks like in 2013, and what it will look like in 2050. Learn about factors that affect population growth, and where wealth and income disparities are the widest.
Inequality in income and wealth is generally large around the world, especially in developing countries. Click ---> More
POPULATION DATA / 2
REGIONAL CLOSE-UP / 3
FACTORS THAT AFFECT POPULATION GROWTH / 4
REGIONAL TOTAL FERTILITY RATE / 5
DEMOGRAPHIC DIVIDE: NIGER V. NETHERLANDS / 6
30 MOST POPULOUS CITIES / 7
POOREST COUNTRIES/GREATEST POPULATION INCREASE / 8
WEALTH DISPARITIES / 9
CASE STUDY: UGANDA & CAMBODIA / 10
& MANY MORE MATHEMATICAL APPLICATIONS............
MATH in DANCE
Mathematics in Dance.wmv – YouTube
Mathematics in the World of Dance - The Bridges Archive
how do you use math in dance by alexis averett on Prezi
MATHMUSIC
Music + Math: Symmetry
https://musicedmasters.kent.edu/the-connection-between-music-and-mathematics/
The Science Behind the Arts: The Maths Behind Music
PYTHAGORAS & MUSIC
Musical Mathematics - Rice University Math - This site highlights several cool connections with math and music – including rap. =)
Pythagoras: Music, Geometry and Mathematics | History of Music Theory Pythagoras is best known for his Pythagorean Theorem, a geometry theorem that states that in any right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (A2 + B2 = C2).
Pythagorean tuning – Wikipedia Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2. This ratio, also known as the "pure" ...
Method · Pythagorean intervals · History and usage · References
Pythagoras - Greek Mathematics - The Story of Mathematics
Pythagoras is also credited with the discovery that the intervals between harmonious musical notes always have whole number ratios. For instance, playing half a length of a guitar string gives the same note as the open string, but an octave higher; a third of a length gives a different but harmonious note; etc.
Harmony and Proportion: Pythagoras: Music and Space
Pythagoras: Music and Space. "We shall therefore borrow all our Rules for the Finishing our Proportions, from the Musicians, who are the greatest Masters of this ...
Pythagoras | Music Appreciation - Lumen Learning
According to legend, Pythagoras discovered the foundations of musicaltuning by listening to the sounds of four blacksmith's hammers, which produced ...
Pythagoras and Music – SlideShare
Oct 26, 2008 - Mathematics and Music <ul><li>Pythagoras heard blacksmiths striking different sized anvils and producing different notes – in harmony ...
Timeline 002: Pythagoras And The Connection Between Music And ...
A squared plus B squared equals C squared; that is of course the Pythagorean theorem from basic geometry, named for the Greek philosopher and religious teacher from 5th century BCE, Pythagoras. Pythagoras taught the belief that numbers were a guide to the interpretation of the universe.
[PDF] - Article on Pythagoras and Music:
Pythagoras and Music - Rackcdn.com
Pythagorean Intervals - UConn physics
As discussed in the previous section, Pythagoras was interested in understanding the notes and scales used in Greek music. In particular, he studied the Greek ...
- Ratio applications to aeronautics using trigonometry ~ take a look at Lift to Drag Ratio or try Glide angle as used by the Wright Brothers
Planetary Fact Sheet - Ratio to Earth - NASA
http://www.worldwildlife.org/
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Great Cartoon treasure hunt – questions about proportions:
http://www.themathlab.com/Algebra/basics/cartoontreasure.htm
Customizable proportion problems:
http://www.themathlab.com/Algebra/proportional%20thinking%20and%20probability/proportionstuff/proppbsday1.htm
Explore the relation between ratio of lengths of width and height and the one of rectangle areas: http://www.ies.co.jp/math/java/geo/ratioAB/ratioAB.html
Mathematics of maps: http://math.rice.edu/%7Elanius/pres/map/mapque.html
Scale City | Scale Models in the Real World This video explores scale models, including 1:12 dollhouse models, 1:24 railroad models, and 1:192 architectural models. It explains what the different ratios represent and asks students to consider how they can use measurement and proportional reasoning to create their own scale models.
Scale City | Proportional Relationships in the Real World In this video, students visit the Kentucky Horse Park where they are introduced to the question How are speed, time, and distance interrelated?
Scale City | Proportional Relationships Among Time, Distance, and Speed In this interactive, students compare the speed of the racehorse Man o’ War to other famous racehorses, a cheetah, a track star, and a middle school student. Students discover the direct proportional relationship between distance traveled in a set time and speed, and the inverse proportional relationship between speed and the time it takes to travel a set distance.
Scale City | Proportions and Music in the Real World In this video—through footage of the calliope aboard the Belle of Louisville, a church pipe organ, and various instruments at a recording studio—students are introduced to the mathematical concept that the length of a musical pipe or a string has a proportional relationship with the sound it produces.
Scale City | Scaling Up Recipes and Circles in Practice In this interactive, students use ratio reasoning to scale up recipes and explore the proportional relationship between the diameter of a circle and its area.
Scale City | One-Dimensional Scaling in the Real World In this video, life-size replicas help demonstrate one-dimensional scaling and the ratio relationship between two real-world quantities
The Lowdown | Rot and Rubbish: The Rancid Truth About How Much Food We Waste Explore the math of worldwide food waste, with focus on percentage, in this infographic from KQED. In the accompanying classroom activity, students predict the percent of food in each of the various categories (e.g., grains, fruit, etc.) that their own families waste, and then compare their predictions with US national averages.
Human Tree: Ratios Watch as the National Museum of Mathematics creates an interesting series of images using ratios. This video focuses on the proportional relationship observed in fractals and challenges you to do some critical thinking using ratios and scale factors. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.
Human Tree: Dilations Watch as the National Museum of Mathematics uses an image of a visitor to create a "Human Tree" using dilations. This video focuses on how similar figures can create dilations and how exponents can be used in an equation to express the proportional relationship in fractals.
The Art of Math Investigate a situation where math plays an important role in art. This video focuses on the equation to calculate the correct weights and distances of the components necessary to balance a mobile. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.
www.worldwideboxoffice.com a web site for movie data
Magic Ten Card Trick
Magic: The Red Black Mind Meld Activity
Sports - Mathematics on the Soccer Field - Geometry Expressions https://www.geometryexpressions.com/downloads/Mathematics%20on%20the%20Soccer%20Field.pdf
- Baseball Time Machine Send your favorite baseball player on a journey through time.
Science of NHL Hockey
Science of the Summer Olympics
Science and Engineering of the 2014 Olympic Winter Games
Science of the Olympic Winter Games
Science of the NFL Football
Science of Golf
Medal predictions: did we get it right? Never afraid of a challenge, before the start of the London 2012 Games we issued predictions for the total medal count for the top 20 countries. They were based on a mathematical model that took account of a country's GDP and population, its performance in 2008 and the home advantage bestowed on Great Britain and also China, who hosted the Games in 2008 (see Mapping the medals). So how did we do?
Gearing up for gold What do the track bikes used by Olympic and Paralympic athletes have in common with the earliest penny farthing bicycles? Rachel Thomas explores the relationship between gear ratios and speed in cycling.
Arsenal Collection: Football Prediction Video Challenge This BBC Two Learning Zone video maths challenge takes place at Arsenal’s training ground and features Arsenal player Per Mertesacker. The challenge is to analyse the percentage of penalty shots the striker places in each quadrant of the goal before predicting which way he will aim his final shot.
D.C. United The official site with news, schedule, roster, events, tickets and contacts.
- Do a "Math Magic" card trick This video reveals how to perform and master the "Math Magic" card trick. Of course, you'll learn every step you'll need to know and small tips to make you a better magician. This is a quick and easy trick any magician at every level can begin to learn and try to master. After ...more
Perform a beginner level math prediction card trickThis is a short video that should appeal to any magic trick enthusiast. The video is done by Tim Clark of Tim Clarks Magic Tricks and show cases a simple card trick he calls the "Beginner Math Prediction Card Trick." The trick is focused on counting out the deck in front of th ...more
Impress your friends with an easy math-based card trickIn this video tutorial, we learn how to perform a simple, mathematical card trick. For more information about the trick and its execution, including detailed, step-by-step instructions, and to get started incorporating this trick into your own routines, watch this free video c ...more
Perform the binary routine magic card trickWatch this instructional magic card trick tutorial to learn how to perform the binary routine. This is an original series of user-created moves. There are 9 phases of the Binary Routine, 6 of which are false, and the other 3 are closers that involve a color card change at the ...more
Tell Whether a Credit Card Number Is Valid Just by Looking at ItThink credit card numbers are just a meaningless jumble of digits? A sort of number soup? Think again! Your credit card number isn't even number at all but rather a composite of four separate numbers, each of which plays an important, fixed role. Because of these roles, you c ...more - & @ Science
Calculating magnification from a scale bar https://www.youtube.com/watch?v=5h5IFY-PYRw
Our World: Snowflakes - Video
http://snowflakes.barkleyus.com/
NatureThe study of geometric proportions has its roots in the study of nature and matter (Skinner, 2009). Many forms observed in nature can be related to geometry. For example, the snowflake crystals and honey cells construct hexagonal geometries. Radium crystal and sound vibrations that carry sound information are based on √2 proportions, showing the octagonal geometry. Flowers in nature tend to have a variety of geometries, although their variety seems to be infinite. Four, five, and six pointed geometries seem to be more common in nature. There are many plants and other aspects of nature which exhibit the form of spiraling geometry, which is related to Fibonacci proportions based on the golden mean.
Chemistry:
The law of definite proportions states that a chemical compound always contains the same proportion of elements by mass. That is to say, changing the scale of a sample of a compound does not alter its proportionate composition. CONTINUE READING
The law of multiple proportions states that when elements combine, they combine in the ratio of small whole numbers. For example, carbon and oxygen react and form CO or CO2 and not CO1.7. CONTINUE READING
Retrieved from www.reference.com ~ 2/17
Ammonia is a compound consisting of a 1 : 3 ratio of nitrogen and hydrogen atoms. (a) If a sample of ammonia contains 1563 nitrogen atoms, how many atoms of hydrogen are present?
(b) If a sample of ammonia contains 1425 hydrogen atoms, how many nitrogen atoms are present?Check your work.
Methane is a compound consisting of a 1 : 4 ratio of carbon and hydrogen atoms.(a) If a sample of methane contains 1565 atoms, how many carbon and hydrogen atoms are present?
(b) Can a sample of methane contain a total of 1566 atoms?
Check your work.
The mass to charge ratio of an isotope of a particular element was determined to be 1.97x10-7 kilograms per coulomb. If the charge on the isotope is 1.614x10-19 coulombs, what is the mass of the isotope? Check your work.
The Setup (video) Optional
An introduction to Get the Math and the professionals and student teams featured in the program.
Math in Special Effects: Introduction (video)
Jeremy Chernick, special effects designer, describes how he got involved in special effects, gives an introduction to the mathematics used in high speed photography, and poses a related math challenge.
Math in Special Effects: Take the challenge (web interactive)
In this interactive activity, users try to solve the challenge posed by Jeremy Chernick in the introductory video segment.
Math in Special Effects: See how the teams solved the challenge (video)
The teams use algebra to solve the Special Effects challenge in two distinct ways.
Math in Special Effects: Try other challenges (web interactive)
This interactive provides users additional opportunities to use key variables and different lens sizes to solve related problems.
The Setup (video) Optional
An introduction to Get the Math and the professionals and student teams featured in the program.
Math in Special Effects: Introduction (video)
Jeremy Chernick, special effects designer, describes how he got involved in special effects, gives an introduction to the mathematics used in high speed photography, and poses a related math challenge.
Math in Special Effects: Take the challenge (web interactive)
In this interactive activity, users try to solve the challenge posed by Jeremy Chernick in the introductory video segment.
Math in Special Effects: See how the teams solved the challenge (video)
The teams use algebra to solve the Special Effects challenge in two distinct ways.
Math in Special Effects: Try other challenges (web interactive)
This interactive provides users additional opportunities to use key variables and different lens sizes to solve related problems.
- Harry Potter
There is some confusion regarding the population of the wizarding world. The year Harry Potter entered Hogwarts School of Witchcraft and Wizardry, there were forty students that started school. This seems to indicate a very low birth rate, or a very low number of witches and wizards in Great Britain and Ireland, or a combination of both. Also, J. K. Rowling has stated that she imagines the wizarding population of the U.K. to be around 3,000. This estimate, although seemingly small, is understandable; a larger population would be far harder to hide from Muggles. However, she also stated that the number of students attending Hogwarts was around 1,000, which seems inconsistent with the 3,000 population estimate. Harry once observed in one Quidditch match that three-quarters of the stadium was supporting Gryffindor, while the Slytherin supporters numbered around 200. There are a large number of government departments, and Harry Potter observes hundreds of witches and wizards in the Ministry of Magic's Atrium alone. This would appear to be too large for such a small population. The Quidditch World Cup stadium could hold 100,000 and was built by a Ministry task force of five hundred. It seems very unlikely that a sixth of the entire country worked for a full year on one single project, though it is possible that the Ministry could have hired out from other countries. If one were to extrapolate from Rowling's statement that 1,000 students were at Hogwarts at a given time, however, a more sensible number seems to suggest itself: Given that 1,000 students spread over 7 years would make a class size each year of about 143 students, that nearly every young wizard and witch in Britain appears to attend Hogwarts, and that wizards and witches seem to live around 100 years if they don't die by unnatural causes, 1,000 Hogwarts students would put the total wizarding population in Britain at 12,000 to 15,000—a number that would support almost all details known about the Wizarding World.- If the Wizarding population is 15,000 then the muggle to wizard ratio is about 4,150 to 1. This means that the current world Wizarding population is roughly 1.6 to 1.7 million. If this ratio is true then unless something was drastically different a thousand years ago there were less then 900 wizards and witches in all of Britain when Hogwarts was founded. 9 students per year, tops.
"The Peach"
A peach sits on one side of a balance. Two cubes are placed on the other side. How many cubes will it take to balance the peach? Division with fractions will produce an answer.
"Tomato Tomato"
There are two bottles of ketchup: one little and the other large. How many little bottles will fit in the large bottle?
"Array-bow of Colors"
There are a lot of Skittles in a big jar. How many packages does it take to fill the jar?
"All Aboard!"
There's a train a comin'! How long will it take to pass? Use multi-step multiplication and a simple conversion from seconds to minutes to arrive at the station.
FOR THE WIN – ANGLES @ PLAYING POOL
https://gfletchy.com/for-the-win/
Pascal's Triangle
Patterns in Pascal's Triangle
Catalan Numbers 1, 2, 5, 14, 42, ...
Fibonacci Numbers 1, 1, 2, 3, 5, 8, ...
Hexagonal Numbers 1, 6, 15, 28, ...
Natural Numbers 1, 2, 3, 4, ...
Pentatope Numbers 1, 5, 15, 35, 70, ...
Triangular Numbers 1, 3, 6, 10, ...
Tetrahedral Numbers 1, 4, 10, 20, ...
Binomial Coefficients
Probability and Combinations
Sierpinski Triangle
Powers of 2 and 11 2, 4, 8, 16, ... / 11, 121, 1331, 14641, ...
Pascal's Triangle Definition of Pascals Triangle - Math is Fun https://www.mathsisfun.com/definitions/pascals-triangle.html Pascal's Triangle is a triangle of numbers where each number is the two numbers above it added together (except for the edges, which are all "1"). (Here I have ...
Pascal's Triangle | Definition of Pascal's Triangle by Merriam-Webster https://www.merriam-webster.com/dictionary/Pascal's%20triangle Definition of Pascal's triangle. : a system of numbers arranged in rows resembling atriangle with each row consisting of the coefficients in the expansion of (a + b)n for n = 0, 1, 2, 3, …
Pascal’s Triangle: Home History Construction Patterns Applications Conclusion
Using Pascal's triangle, you can explore several mathematical concepts. For example, @ Probability… you can determine the number of ways of choosing k items from a set of n items simply by looking at the kth entry on the nth row of the triangle.
Pascal's Triangle - CSAM www.csam.montclair.edu/~kazimir/history.html Although Pascal's Triangle is named after seventeenth century mathematician, Blaise Pascal, several other mathematicians knew about and applied their knowledge of the triangle hundreds of years before the birth of Pascalin 1623.
Pascal's triangle ualr.edu/lasmoller/pascalstriangle.html Pascal's triangle is named after the French mathematician and philosopher ... (Both illustrations from Georges Ifrah, The Universal History of Numbers from ...
Pascal's triangle | mathematics | Britannica.com https://www.britannica.com/topic/Pascals-triangle Pascal's triangle, in algebra, a triangular arrangement of numbers that gives the coefficients in the expansion of any binomial expression, such as (x + y) n. It is named for the 17th-century French mathematician Blaise Pascal, but it is far older.
Pascal's triangle - Wikipedia https://en.wikipedia.org/wiki/Pascal%27s_triangle Jump to History - The pattern of numbers that forms Pascal's triangle was known well before Pascal's time. Pascal innovated many previously unattested ...
History · Binomial expansions · Combinations · Relation to binomial ...
Pascal's Triangle: Patterns & History - Video & Lesson Transcript ...
study.com/academy/lesson/pascals-triangle-patterns-history-quiz.html In this lesson, you will learn about some of the many patterns found within Pascal's triangle, a set of numbers that has been loved by... Pascal's Triangle - History - Figurate, Binomial, Coins, and ... science.jrank.org/pages/5059/Pascal-s-Triangle-History.html Pascal's triangle was also known as the figurate triangle, the combinatorial triangle, and the binomial triangle. The triangle was first given the name, "Pascal's ...
Pascal's triangle - Math Images - The Math Forum @ Drexel mathforum.org/mathimages/index.php/Pascal's_triangle
Despite the fact that the triangle is named Pascal's triangle, the pattern was known long before Pascal ... Math Forum: Pascal's Triangle
Pascal's triangle is an arithmetical triangle made up of staggered rows of numbers: ... that it was being used in China" (D. M. Burton, The History of Mathematics.) ... [PPT]Math Presentation home.adelphi.edu/~br19534/math%20presentation.ppt Pascal's Triangle. By: Brittany Thomas. History & Structure. Pascal's Triangle was originally developed by the ancient Chinese, but Blaise Pascal was the first ...