# 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: Variables and Equations

### 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 video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-variables-and-equations

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions

## VIDEO: Algebra Applications: Variables and Equations, Segment 1: Introduction.

### An overview of the key topics to be covered in the video. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-variables-and-equations-segment-1-introduction

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions

## VIDEO: Algebra Applications: Variables and Equations, Segment 2: Honey Production.

### 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 video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-variables-and-equations-segment-2-honey-production A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-honey-production

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions

## VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

### 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. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-variables-and-equations-segment-3-river-ratios A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-river-ratios

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions

## VIDEO: Algebra Applications: Inequalities

### In this episode of Algebra Applications, two real-world 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 gasoline-powered 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. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-inequalities This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-applications-teachers-guide-inequalities

Applications of Equations and Inequalities, Inequalities

## VIDEO: Algebra Applications: Inequalities, Segment 1: Hybrid Cars.

### With the increasing demand worldwide for cars, the cost of gasoline continues to rise. The need for fuel-efficient 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 gasoline-powered engines. Students use the Graphs and Geometry features of the TI-Nspire. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-inequalities-segment-1-hybrid-cars A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-hybrid-cars

Applications of Equations and Inequalities, Inequalities

## VIDEO: Algebra Applications: Inequalities, Segment 2: Floods in Venice.

### 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 TI-Nspire. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-inequalities-segment-2-floods-venice A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-floods-venice

Applications of Equations and Inequalities, Inequalities

## VIDEO: Algebra Applications: Functions and Relations

### 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. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-applications-teachers-guide-functions-and-relations

Applications of Functions and Relations, Conic Sections, Relations and Functions

## VIDEO: Algebra Applications: Functions and Relations, Segment 1: Introduction.

### 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. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations-segment-1-introduction

Applications of Functions and Relations, Conic Sections, Relations and Functions

## VIDEO: Algebra Applications: Functions and Relations, Segment 2: Parabolic Paths.

### The liftoff and pre-orbital 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. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations-segment-2-parabolic-paths A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-space-travel-1

Applications of Functions and Relations, Conic Sections, Relations and Functions

## VIDEO: Algebra Applications: Functions and Relations, Segment 3: Circular Paths.

### 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. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations-segment-3-circular-paths A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-space-travel-2

Applications of Functions and Relations, Conic Sections, Relations and Functions

## VIDEO: Algebra Applications: Functions and Relations, Segment 4: Elliptical Paths.

### 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. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations-segment-4-elliptical-paths A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-space-travel-3

Applications of Functions and Relations, Conic Sections, Relations and Functions

## VIDEO: Algebra Applications: Data Analysis

### 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. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-data-analysis

Data Analysis, Data Gathering

## VIDEO: Algebra Applications: Data Analysis, Segment 1: Introduction

### 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. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-data-analysis-segment-1-introduction

Data Analysis, Data Gathering

## VIDEO: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage?

### 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 TI-Nspire to create an amortization table. This table is used throughout the rest of the program to explore different scenarios. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-data-analysis-segment-2-what-mortgage A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-what-mortgage

Data Analysis, Data Gathering

## VIDEO: Algebra Applications: Data Analysis, Segment 3: What Is a What is a Subprime Mortgage?

### 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. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-data-analysis-segment-3-what-subprime-mortgage A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-what-subprime-mortgage

Data Analysis, Data Gathering

## VIDEO: Algebra Applications: Data Analysis, Segment 4: What is an Adjustable Rate Mortgage?

### 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. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-data-analysis-segment-4-what-adjustable-rate-mortgage A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-what-adjustable-rate-mortgage

Data Analysis, Data Gathering

## VIDEO: Algebra Applications: Exponential Functions

### 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, real-world example allows students to apply their understanding of exponential functions and their inverses, along with data analysis and periodic function analysis. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-exponential-functions

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

## VIDEO: Algebra Applications: Exponential Functions, Segment 1: Introduction

### 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. To see the video transcript for this video, click here: https://www.media4math.com/library/video-transcript-algebra-applications-exponential-functions-segment-1-introduction

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

## VIDEO: Algebra Applications: Exponential Functions, Segment 2: What Is an Earthquake?

### 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. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-exponential-functions-segment-2-what-earthquake A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-earthquakes-1

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