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Total Number of Resources: 44
Title Description Thumbnail Image Curriculum Topics

Video Transcript: Algebra Applications: Rational Functions, Segment 1: Submarines

Video Transcript: Algebra Applications: Rational Functions, Segment 1: Submarines

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.

Video Transcript: Algebra Applications: Rational Functions, Segment 1: Submarines Rational Expressions and Rational Functions and Equations

Video Transcript: Algebra Applications: Logarithmic Functions

Video Transcript: Algebra Applications: Logarithmic Functions

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 logarithmic functions. Such disparate phenomena as hearing loss and tsunamis can be explained through logarithmic models.

Video Transcript: Algebra Applications: Logarithmic Functions Applications of Exponential and Logarithmic Functions and Graphs of Exponential and Logarithmic Functions

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

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

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.

Video Transcript: Algebra Applications: Logarithmic Functions, Segment 1: What Are Logarithms? Applications of Exponential and Logarithmic Functions and Graphs of Exponential and Logarithmic Functions

Video Transcript: Algebra Applications: Logarithmic Functions, Segment 2: Hearing Loss

Video Transcript: Algebra Applications: Logarithmic Functions, Segment 2: Hearing Loss

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.

Video Transcript: Algebra Applications: Logarithmic Functions, Segment 2: Hearing Loss Applications of Exponential and Logarithmic Functions and Graphs of Exponential and Logarithmic Functions

Video Transcript: Algebra Applications: Logarithmic Functions, Segment 3: Tsunamis

Video Transcript: Algebra Applications: Logarithmic Functions, Segment 3: Tsunamis

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.

Video Transcript: Algebra Applications: Logarithmic Functions, Segment 3: Tsunamis Applications of Exponential and Logarithmic Functions and Graphs of Exponential and Logarithmic Functions

Video Transcript: Algebra Applications: Quadratic Functions

Video Transcript: Algebra Applications: Quadratic Functions

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.

Video Transcript: Algebra Applications: Quadratic Functions Applications of Quadratic Functions, Graphs of Quadratic Functions and Quadratic Equations and Functions

Video Transcript: Algebra Applications: Quadratic Functions, Segment 1: Introduction

Video Transcript: Algebra Applications: Quadratic Functions, Segment 1: Introduction

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

Video Transcript: Algebra Applications: Quadratic Functions, Segment 1: Introduction Applications of Quadratic Functions, Graphs of Quadratic Functions and Quadratic Equations and Functions

Video Transcript: Algebra Applications: Quadratic Functions, Segment 2: Pyrotechnics

Video Transcript: Algebra Applications: Quadratic Functions, Segment 2: Pyrotechnics

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.

Video Transcript: Algebra Applications: Quadratic Functions, Segment 2: Pyrotechnics Applications of Quadratic Functions, Graphs of Quadratic Functions and Quadratic Equations and Functions

Video Transcript: Algebra Applications: Quadratic Functions, Segment 3: Forensics

Video Transcript: Algebra Applications: Quadratic Functions, Segment 3: Forensics

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.

Video Transcript: Algebra Applications: Quadratic Functions, Segment 3: Forensics Applications of Quadratic Functions, Graphs of Quadratic Functions and Quadratic Equations and Functions

Video Transcript: Algebra Applications: Quadratic Functions, Segment 4: Medicine

Video Transcript: Algebra Applications: Quadratic Functions, Segment 4: 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. An analysis of CDC data reveals a number of quadratic models that doctors can use to monitor the growth and development of children.

Video Transcript: Algebra Applications: Quadratic Functions, Segment 4: Medicine Applications of Quadratic Functions, Graphs of Quadratic Functions and Quadratic Equations and Functions

Video Transcript: Algebra Applications: Rational Functions

Video Transcript: Algebra Applications: Rational Functions

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.

Video Transcript: Algebra Applications: Rational Functions Rational Expressions and Rational Functions and Equations

Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise

Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise Linear Expressions, Equations, and Functions

Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise Applications of Linear Functions and Graphs of Linear Functions

Video Transcript: Algebra Applications: Rational Functions, Segment 2: Biology

Video Transcript: Algebra Applications: Rational Functions, Segment 2: Biology

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.

Video Transcript: Algebra Applications: Rational Functions, Segment 2: Biology Rational Expressions and Rational Functions and Equations

Video Transcript: Algebra Applications: Rational Functions, Segment 3: Hubble Telescope

Video Transcript: Algebra Applications: Rational Functions, Segment 3: Hubble Telescope

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.

Video Transcript: Algebra Applications: Rational Functions, Segment 3: Hubble Telescope Rational Expressions and Rational Functions and Equations

Video Transcript: Algebra Applications: Systems of Equations

Video Transcript: Algebra Applications: Systems of Equations

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.

Video Transcript: Algebra Applications: Systems of Equations Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

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

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

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.

Video Transcript: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

Video Transcript: Algebra Applications: Systems of Equations, Segment 2: Encryption

Video Transcript: Algebra Applications: Systems of Equations, Segment 2: Encryption

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.

Video Transcript: Algebra Applications: Systems of Equations, Segment 2: Encryption Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

Video Transcript: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles

Video Transcript: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles

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.

Video Transcript: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

Video Transcript: Algebra Applications: Variables and Equations

Video Transcript: Algebra Applications: Variables and Equations

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.

Video Transcript: Algebra Applications: Variables and Equations Applications of Equations and Inequalities

Video Transcript: Algebra Applications: Variables and Equations, Segment 1: Introduction.

Video Transcript: Algebra Applications: Variables and Equations, Segment 1: Introduction.

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

Video Transcript: Algebra Applications: Variables and Equations, Segment 1: Introduction. Applications of Equations and Inequalities

Video Transcript: Algebra Applications: Variables and Equations, Segment 2: Honey Production

Video Transcript: Algebra Applications: Variables and Equations, Segment 2: Honey Production

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.

Video Transcript: Algebra Applications: Variables and Equations, Segment 2: Honey Production Applications of Equations and Inequalities

Video Transcript: Algebra Applications: Variables and Equations, Segment 3: River Ratios

Video Transcript: Algebra Applications: Variables and Equations, Segment 3: River Ratios

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.

Video Transcript: Algebra Applications: Variables and Equations, Segment 3: River Ratios Applications of Equations and Inequalities

Video Transcript: Algebra Applications: Functions and Relations, Segment 1: Introduction

Video Transcript: Algebra Applications: Functions and Relations, Segment 1: Introduction

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

Video Transcript: Algebra Applications: Functions and Relations, Segment 1: Introduction Applications of Functions and Relations and Relations and Functions

Video Transcript: Algebra Applications: Data Analysis, Segment 1: Introduction

Video Transcript: Algebra Applications: Data Analysis, Segment 1: Introduction

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

Video Transcript: Algebra Applications: Data Analysis, Segment 1: Introduction Data Analysis

Video Transcript: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage?

Video Transcript: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage?

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

Video Transcript: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage? Data Analysis