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!

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Video Library

Number of Resources: 1311
Title Thumbnail Image Description

VIDEO: Algebra Applications: Exponential Functions, 3

VIDEO: Algebra Applications: Exponential Functions, Segment 3: What Is the Difference between Earthquake Intensity and Magnitude?

VIDEO: Algebra Applications: Exponential Functions, Segment 3: What Is the Difference between Earthquake Intensity and Magnitude?

In this episode of Algebra Applications, students explore earthquakes using exponential models.

VIDEO: Algebra Applications: Exponential Functions, 4

VIDEO: Algebra Applications: Exponential Functions, Segment 4: How Is Earthquake Magnitude Measured?

VIDEO: Algebra Applications: Exponential Functions, Segment 4: How Is Earthquake Magnitude Measured?

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.

VIDEO: Algebra Applications: Rational Functions

VIDEO: Algebra Applications: Rational 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.

VIDEO: Algebra Applications: Rational Functions, 1

VIDEO: Algebra Applications: Rational Functions, Segment 1: Submarines

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.

VIDEO: Algebra Applications: Rational Functions, 2

VIDEO: Algebra Applications: Rational Functions, Segment 2: Biology

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.

VIDEO: Algebra Applications: Rational Functions, 3

VIDEO: Algebra Applications: Rational Functions, Segment 3: Hubble Telescope

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.

VIDEO: Algebra Applications: Systems of Equations

VIDEO: Algebra Applications: Systems of 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.

VIDEO: Algebra Applications: Systems of Equations, 1

VIDEO: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss

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.

VIDEO: Algebra Applications: Systems of Equations, 2

VIDEO: Algebra Applications: Systems of Equations, Segment 2: Encryption

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 is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

VIDEO: Algebra Applications: Systems of Equations, 3

VIDEO: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles

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.

VIDEO: Algebra Applications: Logarithmic Functions

VIDEO: Algebra Applications: Logarithmic Functions

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.

VIDEO: Algebra Applications: Logarithmic Functions, 1

VIDEO: Algebra Applications: Logarithmic Functions, Segment 1: What Are Logarithms?

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.

VIDEO: Algebra Applications: Logarithmic Functions, 2

VIDEO: Algebra Applications: Logarithmic Functions, Segment 2: Hearing Loss

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.

VIDEO: Algebra Applications: Logarithmic Functions, 3

VIDEO: Algebra Applications: Logarithmic Functions, Segment 3: Tsunamis

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.

VIDEO: Geometry Applications: 3D Geometry

VIDEO: Geometry Applications: 3D Geometry

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.

VIDEO: Geometry Applications: 3D Geometry, 1

VIDEO: Geometry Applications: 3D Geometry, Segment 1: Introduction.

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.

VIDEO: Geometry Applications: 3D Geometry, 2

VIDEO: Geometry Applications: 3D Geometry, Segment 2: Pyramids

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.

VIDEO: Geometry Applications: 3D Geometry, 3

VIDEO: Geometry Applications: 3D Geometry, Segment 3: Cylinders

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.

VIDEO: Geometry Applications: Angles and Planes

VIDEO: Geometry Applications: Angles and Planes

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.

VIDEO: Geometry Applications: Angles and Planes, 1

VIDEO: Geometry Applications: Angles and Planes, Segment 1: Introduction

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.

VIDEO: Geometry Applications: Angles and Planes, 2

VIDEO: Geometry Applications: Angles and Planes, Segment 2: Angles

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.

VIDEO: Geometry Applications: Angles and Planes, 3

VIDEO: Geometry Applications: Angles and Planes, Segment 3: 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.

VIDEO: Geometry Applications: Area and Volume

VIDEO: Geometry Applications: Area and Volume

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.

VIDEO: Geometry Applications: Area and Volume, 1

VIDEO: Geometry Applications: Area and Volume, Segment 1: Volume and Density.

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.

VIDEO: Geometry Applications: Area and Volume, 2

VIDEO: Geometry Applications: Area and Volume, Segment 2: Surface Area.

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.