Title | Description | Thumbnail Image | Curriculum Topics |
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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 |
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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 |
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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 |
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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 |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
VIDEO: Algebra Nspirations: Logarithms and Logarithmic Functions |
This video begins with the historical invention of logarithms that forever changed the world of computation—until the advent of calculators more than 300 years later. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it proceeds to derive the properties of logs, examine logarithmic functions and graphs, and finally explore the well-known Richter logarithmic scale. Concepts explored: functions and inverse functions, logarithms, exponential functions, logarithmic functions. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-logarithms-and-logarithmic-functions A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-logarithmic-functions |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
VIDEO: Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 1 |
In this Investigation we look at properties of logarithms. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 2, click the following link: A Video Transcript for Algebra Nspirations: Logarithms and Logarithmic Functions, Segments 1 and 2 is available via the following link: |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
VIDEO: Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 2 |
In this Math Lab we look at patterns among different logarithm calculations. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 1, click the following link: A Video Transcript for Algebra Nspirations: Logarithms and Logarithmic Functions, Segments 1 and 2 is available via the following link: |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
VIDEO: Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 3 |
In this Investigation we look at logarithmic functions and graphs. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 4, click the following link: A Video Transcript for Algebra Nspirations: Logarithms and Logarithmic Functions, Segments 3 and 4 is available via the following link: |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
VIDEO: Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 4 |
In this Math Lab we look at an application of logarithms involving astronomy. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 3, click the following link: A Video Transcript for Algebra Nspirations: Logarithms and Logarithmic Functions, Segments 3 and 4 is available via the following link: |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
Closed Captioned 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. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
Closed Captioned 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. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
Closed Captioned 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. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
Closed Captioned 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. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
Closed Captioned Video: Algebra Nspirations: Logarithms and Logarithmic Functions |
This video begins with the historical invention of logarithms that forever changed the world of computation—until the advent of calculators more than 300 years later. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it proceeds to derive the properties of logs, examine logarithmic functions and graphs, and finally explore the well-known Richter logarithmic scale. Concepts explored: functions and inverse functions, logarithms, exponential functions, logarithmic functions. A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
Closed Captioned Video: Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 1 |
In this Investigation we look at properties of logarithms. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 2, click the following link: • https://www.media4math.com/library/algebra-nspirations-logarithms-and-logarithmic-functions-segment-2 A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
Closed Captioned Video: Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 3 |
In this Investigation we look at logarithmic functions and graphs. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Logarithms and Logarithmic Functions. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Logarithms and Logarithmic Functions, Segment 4, click the following link: • https://www.media4math.com/library/algebra-nspirations-logarithms-and-logarithmic-functions-segment-4 A Video Transcript is available for this tutorial at this Link Note: The download is Media4Math's guide to closed captioned videos. Other Closed Captioned VideosTo see the complete collection of Closed Captioned Videos, click on this Link |
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Applications of Exponential and Logarithmic Functions, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
Definition--Base |
The definition of the term "Base." Note: The download is a JPG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
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Laws of Exponents |
Definition--Graphs of Exponential Functions |
The definition of the term "Graphs of Exponential Functions." Note: The download is a JPG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary |
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Graphs of Exponential and Logarithmic Functions |
Math Clip Art--Logarithmic Function |
Math Clip Art--Logarithmic Function. An illustration of a logarithmic function graph. Note: The download is a JPG file. |
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Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions |
Math Example: Graphs of Exponential Functions: Example 01 |
Example 1: The graph of an exponential function of the form y = a * b^(cx), under the following conditions: 0 < b < 1, a = 1, c = 1. Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3cOCD6V |
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Graphs of Exponential and Logarithmic Functions |
Math Example: Graphs of Exponential Functions: Example 02 |
Example 2: The graph of an exponential function of the form y = a * b^(cx), under the following conditions: 0 < b < 1, a = 1, c > 1. Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3cOCD6V |
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Graphs of Exponential and Logarithmic Functions |
Math Example: Graphs of Exponential Functions: Example 03 |
Example 3: The graph of an exponential function of the form y = a * b^(cx), under the following conditions: 0 < b < 1, a = 1, c < 0. Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3cOCD6V |
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Graphs of Exponential and Logarithmic Functions |
Math Example: Graphs of Exponential Functions: Example 04 |
Example 4: The graph of an exponential function of the form y = a * b^(cx), under the following conditions: 0 < b < 1, a = 1, 0< c < 1. Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3cOCD6V |
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Graphs of Exponential and Logarithmic Functions |
Math Example: Graphs of Exponential Functions: Example 05 |
Example 5: The graph of an exponential function of the form y = a * b^(cx), under the following conditions: 0 < b < 1, a > 0, c = 1. Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3cOCD6V |
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Graphs of Exponential and Logarithmic Functions |
Math Example: Graphs of Exponential Functions: Example 06 |
Example 6: The graph of an exponential function of the form y = a * b^(cx), under the following conditions: 0 < b < 1, a < 0, c = 1. Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3cOCD6V |
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Graphs of Exponential and Logarithmic Functions |