

The relationship between slope and grade in cycling is explored. Go on a tour of Italy through the mountains of Tuscany and apply students' understanding of slope.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



In this episode of Algebra Applications, students explore the dramatic events of 2008 related to the mortgage crisis. Brought about principally through mortgage defaults, the effect on the overall economy was severe. Yet, this situation offers an ideal case study for the exploration of key concepts in data analysis and probability. By exploring these questions students get a front row seat to the historical events of the world’s largest economy.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



In this introductory segment students learn about the mortage crisis of 2008. In the process they get a brief introduction to what a mortgage is.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



The time value of money is at the basis of all loans. Students learn about the key factors that determine monthly mortgage payments and use the TINspire to create an amortization table. This table is used throughout the rest of the program to explore different scenarios.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



Having learned the general features of a mortgage, students learn the specifics of a subprime mortgage. With this comes the notion of a credit score, and with credit scores come the probabilities for a loan default. Students use the amortization table to run probability simulations to determine possible loan defaults on subprime mortgages.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



Another factor in the mortgage crisis was the use of adjustable rate mortgages. Students run a number of scenarios to test adjustable rate mortgages, while also taking into account the state of the housing market during the time of the mortgage crisis.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



In this episode of Algebra Applications, students explore earthquakes using exponential models. In particular, students analyze the earthquake that struck the Sichuan Province in China in 2008, months before the Beijing Olympics. This dramatic, realworld example allows students to apply their understanding of exponential functions and their inverses, along with data analysis and periodic function analysis.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



In this introductory segment students learn about the great earthquake of 2008 that hit the Sichuan province of China. In the process they learn about how exponential functions provide a good model for describing earthquake intensity.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



The basic definition of an exponential function is shown in the intensity function for an earthquake. Students analyze data and perform an exponential regression based on data from the Sichuan earthquake.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



An exponential model describes the intensity of an earthquake, while a logarithmic model describes the magnitude of an earthquake. In the process students learn about the inverse of an exponential function.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



An earthquake is an example of a seismic wave. A wave can be modeled with a trigonometric function. Using the TINspire, students link the amplitude to an exponential function to analyze the dramatic increase in intensity resulting from minor changes to magnitude.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



In this episode of Algebra Applications, students explore the following scenario: Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



The liftoff and preorbital path of the rock is described by a parabola. Students explore the properties of parabolas from the standpoint of the parametric equations that describe the horizontal and vertical directions of motion for the rocket.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



The path of a rocket orbiting the Earth can be modeled with the equation of a circle. Students explore the quadratic relation and the parametric equations that can be used to model the path of a spacecraft orbiting Earth.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



The planets orbiting the sun follow elliptical paths. In fact, the trajectory of a spacecraft traveling to Mars would also be elliptical. Students explore these various ellipses.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



In this episode of Algebra Applications, two realworld explorations of inequalities are developed. Hybrid Cars. An examination of the equations and inequalities that involve miles per gallon (mpg) for city and highway traffic reveals important information about hybrid cars and those with gasolinepowered engines. Floods in Venice. Venice experiences a great deal of flooding, and with the expected rise of sea levels over the next century, this ancient city is in peril. Through a series of inequalities, students analyze the impact of flooding.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



With the increasing demand worldwide for cars, the cost of gasoline continues to rise. The need for fuelefficient cars makes hybrids a current favorite. An examination of the equations and inequalities that involve miles per gallon (mpg) for city and highway traffic reveals important information about hybrid cars and those with gasolinepowered engines. Students use the Graphs and Geometry features of the TINspire.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



The city of Venice is slowly sinking into the Adriatic Sea. So what does a city whose streets are full of water do about flooding? Venice experiences a great deal of flooding, and with the expected rise of sea levels over the next century, this ancient city is in peril. Through a series of inequalities, students analyze the impact of flooding, rising sea levels, and sinking have on this grand, ancient city. Students use the Lists and Spreadsheets and the Program Editor features of the TINspire.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



In this episode of Algebra Applications, three realworld explorations of linear functions are developed: Sports. The relationship between slope and grade in cycling is explored. Oil Exploration. A linear regression of oil consumption data over the past 25 years reveals an interesting pattern. Health. The maximum heart rate from aerobic exercise is a linear function dependent on age. Students are asked to develop a data table based on the function.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



An overview of the key topics to be covered in the video.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



The potential for oil exploration in the controversial Alaska National Wildlife Refuge (ANWR) sets the scene for this problem. A linear regression of oil consumption data over the past 25 years reveals an interesting pattern. How could new oil fields like ANWR help in breaking our dependence on foreign oil?
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



Exercise needs to become a consistent part of everyone's lifestyle. In particular, aerobic exercises, which vigorously exerts the heart, is an important form of exercise. The maximum heart rate from aerobic exercise is a linear function dependent on age. Students are asked to develop a data table based on the function.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of logarithmic functions. Such disparate phenomena as hearing loss and tsunamis can be explained through logarithmic models.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link



The mathematical definition of a logarithm is the inverse of an exponential function, but why do we need to use logarithms? This segment explains the nature of some data sets, where incremental changes in the domain result in explosive changes in the range. As a result, logarithms allow for the a way to present and analyze what would otherwise be unwieldy data.
A Video Transcript is available for this tutorial at this Link
Note: The download is Media4Math's guide to closed captioned videos.
Other Closed Captioned Videos
To see the complete collection of Closed Captioned Videos, click on this Link
