# Content Showcase: Video Library

## Media4Math's Video Library is a collection of videos on key topics in pre-algebra and algebra. Each video includes several worked-out examples that clearly explain the key concept. All videos include real-world applications of math.

### This is a growing collection of resources, so keep coming back!

Title Thumbnail Image Description Curriculum Topics

## VIDEO: Algebra Applications: Exponential Functions, Segment 3: What Is the Difference between Earthquake Intensity and Magnitude? ### 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.  This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-exponential-functions-segment-3-what-difference A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-earthquakes-2

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Algebra Applications: Exponential Functions, Segment 4: How Is Earthquake Magnitude Measured? ### An earthquake is an example of a seismic wave. A wave can be modeled with a trigonometric function. Using the TI-Nspire, students link the amplitude to an exponential function to analyze the dramatic increase in intensity resulting from minor changes to magnitude. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-exponential-functions-segment-4-how-earthquake A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-earthquakes-3

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Algebra Applications: Rational Functions ### 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 video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-rational-functions

Rational Expressions, Rational Functions and Equations

## VIDEO: Algebra Applications: Rational Functions, Segment 1: Submarines ### 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 video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-rational-functions-segment-1-submarines A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-submarines

Rational Expressions, Rational Functions and Equations

## VIDEO: Algebra Applications: Rational Functions, Segment 2: Biology ### 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 video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-rational-functions-segment-2-biology A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-biology

Rational Expressions, Rational Functions and Equations

## VIDEO: Algebra Applications: Rational Functions, Segment 3: Hubble Telescope ### 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 video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-rational-functions-segment-3-hubble-telescope A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-hubble

Rational Expressions, Rational Functions and Equations

## VIDEO: Algebra Applications: Systems of Equations ### 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 video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-systems-equations

Applications of Linear Systems, Solving Systems of Equations

## VIDEO: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss ### 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 video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-systems-equations-segment-1-profit-and-loss A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-profit-and-loss

Applications of Linear Systems, Solving Systems of Equations

## VIDEO: Algebra Applications: Systems of Equations, Segment 2: Encryption ### Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-systems-equations-segment-2-encryption A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-encryption

Applications of Linear Systems, Solving Systems of Equations

## VIDEO: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles ### 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 video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-systems-equations-segment-3-ballistic-missiles A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-ballistic-missiles

Applications of Linear Systems, Solving Systems of Equations

## VIDEO: Algebra Applications: Logarithmic Functions ### 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. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-logarithmic-functions

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Algebra Applications: Logarithmic Functions, Segment 1: What Are Logarithms? ### 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 video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-logarithmic-functions-segment-1-what-are-logarithms

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Algebra Applications: Logarithmic Functions, Segment 2: Hearing Loss ### 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 video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-logarithmic-functions-segment-2-hearing-loss A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-hearing-loss

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Algebra Applications: Logarithmic Functions, Segment 3: Tsunamis ### 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 video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-logarithmic-functions-segment-3-tsunamis A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-tsunamis

Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions

## VIDEO: Geometry Applications: 3D Geometry ### In this program we explore the properties of three-dimensional figures. We do this in the context of two real-world applications. In the first, we look at the three-dimensional structure of Mayan pyramids. These stair-step structures provide a unique opportunity to also explore sequences and series. In the second application we look at the Shanghai Tower as an example of cylindrically shaped structures. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry This video includes a Teacher's Guide: https://www.media4math.com/library/geometry-applications-teachers-guide-3d-geometry

3-Dimensional Figures

## VIDEO: Geometry Applications: 3D Geometry, Segment 1: Introduction. ### We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-1-introduction

3-Dimensional Figures

## VIDEO: Geometry Applications: 3D Geometry, Segment 2: Pyramids ### Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor. This introduces the notion of a geometric sequence and series, including an infinite series. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-2-pyramids A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-geometry-applications-3d-geometry-1

3-Dimensional Figures, Pyramids

## VIDEO: Geometry Applications: 3D Geometry, Segment 3: Cylinders ### The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor. As with the previous section, this introduces the notion of a geometric sequence and series. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-3-cylinders A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-geometry-applications-3d-geometry-2

3-Dimensional Figures, Cylinders

## VIDEO: Geometry Applications: Angles and Planes ### In this program we explore the properties of angles and planes. We do this in the context of two real-world applications. In the first, we explore Japan's Himeji Castle and in the process learn about different types of angles and how they're used in a defensive fortification. In the second applicaiton we explore sedimentary rock layers as examples of parallel planes. We explore the Burgess Shale fossils. This video includes a video transcript: https://www.media4math.com/library/video-transcript-geometry-applications-angles-and-planes. This video includes a Teacher's Guide: https://www.media4math.com/library/geometry-applications-teachers-guide-angles-and-planes

Applications of Angles and Planes

## VIDEO: Geometry Applications: Angles and Planes, Segment 1: Introduction ### The observatory in Arecibo, Puerto Rico provides astronomers insights into the structure of our solar system. Geometrically, the solar system relies on the plane known as the ecliptic. In studying the Earth’s orbit it is important to know that the Earth’s axis of rotation is at an angle relative to the ecliptic. This segment introduces the key themes of the program. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-angles-and-planes-segment-1-introduction

Applications of Angles and Planes

## VIDEO: Geometry Applications: Angles and Planes, Segment 2: Angles ### Himeji castle in Japan is a marvel of architecture and a startling example of geometry and military science. The castle was used to protect samurai armies from invading forces, and the use of acute, obtuse, and right angles as part of the defense structure provide many opportunities for exploring the nature of geometric angles. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-angles-and-planes-segment-2-angles A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-geometry-applications-angles

Applications of Angles and Planes

## VIDEO: Geometry Applications: Angles and Planes, Segment 3: Planes ### In the Canadian Rockies, the Burgess Shale fossils provide a window to prehistoric Earth. Fossil layers are folded into sedimentary rocks. And sedimentary rocks are examples of parallel planes. This segment uses the properties of planes to analyze fossils. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-angles-and-planes-segment-3-planes This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-planes

Applications of Angles and Planes

## VIDEO: Geometry Applications: Area and Volume ### In this program we look at applications of area and volume. We do this in the context of three real-world applications. In the first, we look at the sinking of the Titanic in the context of volume and density. In the second application we look at the glass pyramid at the Louvre Museum and calculate its surface area. In the third application we look at the Citibank Tower in New York City to study the ratio of surface area to volume to learn about heat loss in tall buildings. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-area-and-volume

Applications of Surface Area and Volume, Surface Area, Volume

## VIDEO: Geometry Applications: Area and Volume, Segment 1: Volume and Density. ### The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy. Students construct a mathematical model of the Titanic to determine why it sank and what could have been done to prevent it from sinking. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-area-and-volume-segment-1-volume-and-density This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-area-and-volume-1

Applications of Surface Area and Volume, Surface Area, Volume

## VIDEO: Geometry Applications: Area and Volume, Segment 2: Surface Area. ### The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels. Students create a model of the pyramid to calculate the number of panels used to cover the surface area of the pyramid. This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-area-and-volume-segment-2-surface-area This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-area-and-volume-2

Applications of Surface Area and Volume, Surface Area, Volume