Content Showcase: Video Transcripts

This is the transcript for the video of same title. Video contents: 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.

This is the transcript for the video of same title. Video contents: We live in a noisy world. In fact, prolonged exposure to noise can cause hearing loss. Students analyze the noise level at a rock concert and determine the ideal distance where the noise level is out of the harmful range. Using the TI-Nspire's Geometry tools, student create a mathematical simulation of the decibel level as a function of distance.

This is the transcript for the video of same title. Video contents: In 1998 a devastating tsunami was triggered by a 7.0 magnitude earthquake off the coast of New Guinea. The amount of energy from this earthquake was equivalent to a thermonuclear explosion. Students analyze the energy outputs for different magnitude earthquakes. Using the Graphing tools, students explore the use of a logarithmic scale to better analyze exponential data.

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, three real-world explorations of linear functions are developed: Pyrotechnics. Fireworks displays are elegant examples of quadratic functions. Forensics. The distance a car travels even after the brakes are applied can be described through a quadratic function. Medicine. From the time a baby is born to the time it reaches 36 months of age, there is dramatic growth in height and weight.

This is the transcript for the video of same title. Video contents: An overview of the key topics to be covered in the video.

This is the transcript for the video of same title. Video contents: Fireworks displays are elegant examples of quadratic functions. In this segment the basics of quadratic functions in standard form are developed visually and students are guided through the planning of a fireworks display.

This is the transcript for the video of same title. Video contents: The distance a car travels even after the brakes are applied can be described through a quadratic function. But there is also the reaction time, the split second before the brakes are applied. The total distance is known as the stopping distance and this segment analyzes the quadratic function. This is an equation that can be used by accident investigators.

From the time a baby is born to the time it reaches 36 months of age, there is dramatic growth in height and weight. An analysis of CDC data reveals a number of quadratic models that doctors can use to monitor the growth and development of children.

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of rational functions. Such disparate phenomena as submarines, photography, and the appearance of certain organisms can be explained through rational function models.

This is the transcript for the video of same title. Video contents: In spite of their massive size, submarines are precision instruments. A submarine must withstand large amounts of water pressure; otherwise, a serious breach can occur. Rational functions are used to study the relationship between water pressure and volume. Students graph rational functions to study the forces at work with a submarine.

This is the transcript for the video of same title. Video contents: All living things take up a certain amount of space, and therefore have volume. They also have a certain amount of surface area. The ratio of surface area to volume, which is a rational function, reveals important information about the organism. Students look at different graphs of these functions for different organisms.

This is the transcript for the video of same title. Video contents: The Hubble Telescope has transformed how we view the universe. We learn about the lens formula and how it is used in the construction of telescopes.

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of systems of equations. Such disparate phenomena as profit and loss, secret codes, and ballistic missile shields can be explored through systems of equations.

This is the transcript for the video of same title. Video contents: Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically.

This is the transcript for the video of same title. Video contents: Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

This is the transcript for the video of same title. Video contents: A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linear-quadratic system. Students graph such a system and find the points of intersection between a line and a parabola.

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, two real-world explorations are developed: Biology. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder. Geology. Why do rivers meander instead of traveling in a straight line? In this segment the geological forces that account for a river??s motion are explained.

This is the transcript for the video of same title. Video contents: An overview of the key topics to be covered in the video.

This is the transcript for the video of same title. Video contents: Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder.

This is the transcript for the video of same title. Video contents: Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river's length to its straight-line distance tell us? In this segment the geological forces that account for a river's motion are explained.

This is the transcript for the video of same title. Video contents: What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis.

This is the transcript for the video of same title. Video contents: In this Investigation we explore uncertainty and randomness.

This is the transcript for the video of same title. Video contents: In this Math Lab a hands-on probability activity involving coins is explored.

This is the transcript for the video of same title. Video contents: Almost everyone has an intuitive understanding that exponential growth means rapid growth. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video builds on students' intuitive notions, explores exponential notation, and analyzes properties of exponential function graphs, with the help of TI-Nspire features such as sliders and graph transformations.

This is the transcript for the video of same title. Video contents: In this Investigation we explore the properties of exponents and exponential graphs.